From 70adf288c3d5c1d90fa02b4a41ca4fadd8a5d6dc Mon Sep 17 00:00:00 2001
From: friedchickean <kdarg29@gmail.com>
Date: Tue, 5 Aug 2025 11:38:03 -0600
Subject: [PATCH] Updated v10.0 manual to its final version. Added Tutorial
 download link for v10.0

---
 .../manual/Faim User Manual version 10.0.pdf  |   Bin 0 -> 8151726 bytes
 .../manual/images/color_map_editor_button.png |   Bin 0 -> 3519 bytes
 .../images/rescale_to_custom_range_button.png |   Bin 0 -> 110482 bytes
 ...rescale_to_custom_range_button_toolbar.png |   Bin 0 -> 3492 bytes
 .../10.0/manual/images/threshold_button.png   |   Bin 0 -> 4742 bytes
 .../manual/images/warp_by_vector_button.png   |   Bin 0 -> 2394 bytes
 n88/documentation/faim/10.0/manual/index.html | 34098 +++++++---------
 n88/documentation/index.html                  |     2 +-
 n88/downloads/index.html                      |     7 +-
 9 files changed, 14999 insertions(+), 19108 deletions(-)
 create mode 100644 n88/documentation/faim/10.0/manual/Faim User Manual version 10.0.pdf
 create mode 100644 n88/documentation/faim/10.0/manual/images/color_map_editor_button.png
 create mode 100644 n88/documentation/faim/10.0/manual/images/rescale_to_custom_range_button.png
 create mode 100644 n88/documentation/faim/10.0/manual/images/rescale_to_custom_range_button_toolbar.png
 create mode 100644 n88/documentation/faim/10.0/manual/images/threshold_button.png
 create mode 100644 n88/documentation/faim/10.0/manual/images/warp_by_vector_button.png

diff --git a/n88/documentation/faim/10.0/manual/Faim User Manual version 10.0.pdf b/n88/documentation/faim/10.0/manual/Faim User Manual version 10.0.pdf
new file mode 100644
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-
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-
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-
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+</style>
 </head>
-
 <body class="book toc2 toc-left">
-  <div id="header">
-    <h1>Faim Finite Element Analysis Manual</h1>
-    <div class="details">
-      <span id="author" class="author">Eric Nodwell and Steven K. Boyd</span><br>
-    </div>
-    <div id="toc" class="toc2">
-      <div id="toctitle">Table of Contents</div>
-      <ul class="sectlevel1">
-        <li><a href="#introduction">1. Introduction</a>
-          <ul class="sectlevel2">
-            <li><a href="#_overview">1.1. Overview</a></li>
-            <li><a href="#_how_to_read_this_manual">1.2. How to read this manual</a></li>
-            <li><a href="#what_is_new">1.3. What is new in version 10</a></li>
-            <li><a href="#installation">1.4. Installation</a></li>
-            <li><a href="#workflow">1.5. Work flow for finite element analysis</a></li>
-            <li><a href="#note_about_units">1.6. Units in Faim</a></li>
-          </ul>
-        </li>
-        <li><a href="#using_n88modelgenerator">2. Preparing Finite Element Models With n88modelgenerator</a>
-          <ul class="sectlevel2">
-            <li><a href="#running_n88modelgenerator">2.1. Running n88modelgenerator</a></li>
-            <li><a href="#test_orientation">2.2. Test orientation</a></li>
-            <li><a href="#standard_tests">2.3. Standard tests</a></li>
-            <li><a href="#uneven_surfaces">2.4. Uneven surfaces</a></li>
-            <li><a href="#material_specification">2.5. Material specification</a></li>
-          </ul>
-        </li>
-        <li><a href="#vtkbone">3. Preparing Finite Element Models with vtkbone</a>
-          <ul class="sectlevel2">
-            <li><a href="#api_documentation">3.1. vtkbone API documentation</a></li>
-            <li><a href="#_array_indexing_in_vtkbone">3.2. Array indexing in vtkbone</a></li>
-            <li><a href="#_typical_workflow_for_vtkbone">3.3. Typical workflow for vtkbone</a></li>
-            <li><a href="#vtkboneFiniteElementModel">3.4. The vtkboneFiniteElementModel object</a></li>
-            <li><a href="#_reading_a_segmented_image">3.5. Reading a segmented image</a></li>
-            <li><a href="#_reading_an_unsegmented_image_and_segmenting_it">3.6. Reading an unsegmented image and
-                segmenting it</a></li>
-            <li><a href="#ensuring_connectivity">3.7. Ensuring connectivity</a></li>
-            <li><a href="#_generating_a_mesh">3.8. Generating a mesh</a></li>
-            <li><a href="#_defining_materials">3.9. Defining materials</a></li>
-            <li><a href="#_constructing_a_material_table">3.10. Constructing a material table</a></li>
-            <li><a href="#_creating_a_finite_element_model">3.11. Creating a finite element model</a></li>
-            <li><a href="#creating_sets">3.12. Creating node and element sets</a></li>
-            <li><a href="#adding_boundary_conditions">3.13. Adding boundary conditions</a></li>
-            <li><a href="#adding_applied_loads">3.14. Adding applied loads</a></li>
-            <li><a href="#adding_a_convergence_set">3.15. Optional: Adding a convergence set</a></li>
-            <li><a href="#_ensuring_your_model_is_well_defined">3.16. Ensuring your model is well-defined</a></li>
-            <li><a href="#setting_post_processing_parameters">3.17. Setting post-processing parameters</a></li>
-            <li><a href="#filters_for_standard_tests">3.18. Filters for creating standard tests</a></li>
-            <li><a href="#_modifying_a_finite_element_model">3.19. Modifying a finite element model</a></li>
-            <li><a href="#_updating_the_history_and_the_log">3.20. Updating the history and the log</a></li>
-            <li><a href="#_writing_a_model_file_for_input_to_the_solver">3.21. Writing a model file for input to the
-                solver</a></li>
-            <li><a href="#_visualizing_intermediate_results">3.22. Visualizing intermediate results</a></li>
-            <li><a href="#_error_handling">3.23. Error handling</a></li>
-          </ul>
-        </li>
-        <li><a href="#solving_linear_problems">4. Solving Linear Problems</a>
-          <ul class="sectlevel2">
-            <li><a href="#using_n88solver_slt">4.1. Obtaining solutions to linear problems using n88solver_slt</a></li>
-            <li><a href="#_convergence">4.2. Convergence</a></li>
-            <li><a href="#evaluating_solution_quality">4.3. Evaluating solution quality</a></li>
-          </ul>
-        </li>
-        <li><a href="#solving_nonlinear_problems">5. Solving Nonlinear Problems</a>
-          <ul class="sectlevel2">
-            <li><a href="#using_n88solver_spt">5.1. Obtaining solutions to nonlinear problems with n88solver_spt</a>
-            </li>
-            <li><a href="#elastoplastic_convergence">5.2. Convergence</a></li>
-            <li><a href="#nonlinear_progressive_loads">5.3. Obtaining accurate nonlinear solutions by progressively
-                applying loads</a></li>
-            <li><a href="#evaluating_nonlinear_solution_quality">5.4. Evaluating nonlinear solution quality</a></li>
-          </ul>
-        </li>
-        <li><a href="#postprocessing">6. Post-Processing and Analysis</a>
-          <ul class="sectlevel2">
-            <li><a href="#using_n88derivedfields">6.1. Calculating additional solution fields with n88derivedfields</a>
-            </li>
-            <li><a href="#extracting_fields">6.2. Exporting solution fields from the model file</a></li>
-            <li><a href="#using_n88postfaim">6.3. Obtaining standard post-processing values with n88postfaim</a></li>
-            <li><a href="#tabulate_analysis">6.4. Tabulating results from analysis files</a></li>
-          </ul>
-        </li>
-        <li><a href="#tutorials">7. Tutorials</a>
-          <ul class="sectlevel2">
-            <li><a href="#cube_tutorial">7.1. Introductory tutorial: Compressing a solid cube</a></li>
-            <li><a href="#radius_slice_tutorial">7.2. Tutorial: Compression test of a radius bone slice</a></li>
-            <li><a href="#radius_bending_tutorial">7.3. Tutorial: Bending test of a radius bone with an uneven
-                surface</a></li>
-            <li><a href="#radius_bending_elastoplastic_tutorial">7.4. Tutorial: Radius bending with elasto-plastic
-                material properties</a></li>
-            <li><a href="#cube_with_vtkbone_tutorial">7.5. Tutorial: Compressing a cube revisited using vtkbone</a></li>
-            <li><a href="#cantilever_tutorial">7.6. Tutorial: Deflection of a cantilevered beam; adding custom boundary
-                conditions and loads</a></li>
-            <li><a href="#cantilever_elastoplastic_tutorial">7.7. Tutorial: A cantilevered beam with elastoplastic
-                material properties</a></li>
-            <li><a href="#screw_pullout_tutorial">7.8. Advanced custom model: A screw pull-out test</a></li>
-            <li><a href="#longitudinal_fe_with_vtkbone_tutorial">7.9. Tutorial: Radius compression with transformed
-                boundary conditions for longitudinal bone strength estimates</a></li>
-            <li><a href="#additional_examples">7.10. Additional examples</a></li>
-          </ul>
-        </li>
-        <li><a href="#special_topics">8. Special Topics</a>
-          <ul class="sectlevel2">
-            <li><a href="#material_arrays">8.1. Efficient Handling of Large Numbers of Material Definitions</a></li>
-            <li><a href="#direct_mechanics">8.2. Direct Mechanics</a></li>
-            <li><a href="#n88postfaim_pistoia_failure_load">8.3. Pistoia Failure Load Estimate</a></li>
-          </ul>
-        </li>
-        <li><a href="#_command_reference">9. Command Reference</a>
-          <ul class="sectlevel2">
-            <li><a href="#faim">9.1. faim</a></li>
-            <li><a href="#n88coarsen">9.2. n88coarsen</a></li>
-            <li><a href="#n88copymodel">9.3. n88copymodel</a></li>
-            <li><a href="#n88compress">9.4. n88compress</a></li>
-            <li><a href="#n88derivedfields">9.5. n88derivedfields</a></li>
-            <li><a href="#n88directmechanics">9.6. n88directmechanics</a></li>
-            <li><a href="#n88evaluate">9.7. n88evaluate</a></li>
-            <li><a href="#n88extractfields">9.8. n88extractfields</a></li>
-            <li><a href="#n88extractsets">9.9. n88extractsets</a></li>
-            <li><a href="#n88interpolatesolution">9.10. n88interpolatesolution</a></li>
-            <li><a href="#n88modelgenerator">9.11. n88modelgenerator</a></li>
-            <li><a href="#n88modelinfo">9.12. n88modelinfo</a></li>
-            <li><a href="#n88pistoia">9.13. n88pistoia</a></li>
-            <li><a href="#n88postfaim">9.14. n88postfaim</a></li>
-            <li><a href="#n88solver">9.15. n88solver (_slt, _sla and _spt)</a></li>
-            <li><a href="#n88tabulate">9.16. n88tabulate</a></li>
-          </ul>
-        </li>
-        <li><a href="#upgrading_from_previous_versions">Appendix A: Upgrading from previous versions</a>
-          <ul class="sectlevel2">
-            <li><a href="#upgrading_from_version_7">A.1. Upgrading from Faim version 7</a></li>
-            <li><a href="#upgrading_from_version_6">A.2. Upgrading from Faim version 6</a></li>
-            <li><a href="#upgrading_from_version_5">A.3. Upgrading from Faim version 5</a></li>
-          </ul>
-        </li>
-        <li><a href="#n88model_file_format">Appendix B: n88model File Format</a>
-          <ul class="sectlevel2">
-            <li><a href="#_converting_a_n88model_file_to_and_from_a_text_file">B.1. Converting a n88model file to and
-                from a text file</a></li>
-            <li><a href="#_example_n88model_file_in_cdl_text_format">B.2. Example n88model file in CDL text format</a>
-            </li>
-            <li><a href="#_specification">B.3. Specification</a></li>
-            <li><a href="#_writing_code_to_read_and_write_n88model_files">B.4. Writing code to read and write n88model
-                files</a></li>
-          </ul>
-        </li>
-        <li><a href="#scripting">Appendix C: Automating the Processing of Multiple Models With Scripts</a>
-          <ul class="sectlevel2">
-            <li><a href="#_a_script_to_generate_a_mesh_and_solve_it">C.1. A script to generate a mesh and solve it</a>
-            </li>
-            <li><a href="#_scripting_several_models">C.2. Scripting several models</a></li>
-            <li><a href="#_unattended_execution_of_scripts">C.3. Unattended execution of scripts</a></li>
-          </ul>
-        </li>
-        <li><a href="#bibliography">Bibliography</a></li>
-        <li><a href="#_index">Index</a></li>
-        <li><a href="#_colophon">Colophon</a></li>
-      </ul>
-    </div>
-  </div>
-  <div id="content">
-    <div id="preamble">
-      <div class="sectionbody">
-        <div class="paragraph">
-          <p></p>
-        </div>
-      </div>
-    </div>
-    <div class="sect1">
-      <h2 id="introduction">1. Introduction</h2>
-      <div class="sectionbody">
-        <div class="sect2">
-          <h3 id="_overview">1.1. Overview</h3>
-          <div class="paragraph">
-            <p>Faim is a finite element solver optimized for solid mechanics simulations of
-              bone, including strength and stiffness determinations, directly from
-              three-dimensional medical image data such as micro-CT. Faim uses the mesh-free
-              method, which is a highly memory efficient method of finite element analysis.
-              This makes it possible to solve finite element
-              models with very large numbers of degrees of freedom derived directly from
-              high resolution scans.</p>
-          </div>
-          <div class="paragraph">
-            <p>The Faim Finite Element solver has an established record of being used in
-              scientific studies. See the <a href="#bibliography">bibliography</a> for selected studies.</p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_how_to_read_this_manual">1.2. How to read this manual</h3>
-          <div class="olist arabic">
-            <ol class="arabic">
-              <li>
-                <p>If you need to install Faim, refer to <a href="#installation">Installation</a> in this chapter.</p>
-              </li>
-              <li>
-                <p>Experienced users may want to read <a href="#what_is_new">What is new in version 10</a>, and then go
-                  directly
-                  to the sections indicated there.</p>
-              </li>
-              <li>
-                <p>For new users, start by reading the section <a href="#workflow">Work flow for finite element
-                    analysis</a>.
-                  This will give you an overview of finite element analysis and the Numerics88 software tools.</p>
-              </li>
-              <li>
-                <p>Next, we recommend that you
-                  jump first to <a href="#cube_tutorial">An introductory tutorial: compressing a solid cube</a>. It
-                  will take you through the typical steps of generating a model, verifying
-                  it, solving it, and analyzing the results. This is a good introduction to
-                  how everything fits together, and will help to put things into context.</p>
-              </li>
-              <li>
-                <p>The intervening chapters (preceeding the Tutorials chapter) should be used as
-                  reference material. You probably don&#8217;t want to read them
-                  from beginning to end in one sitting with the intention of retaining
-                  everything; however, you should at least skim through them
-                  to be aware of the options, limitations and potential pitfalls.</p>
-              </li>
-              <li>
-                <p>If you are a user who is familiar with <code>n88modelgenerator</code> and who is interested
-                  in creating your own custom models, start with the tutorial,
-                  <a href="#cube_with_vtkbone_tutorial">Compressing a cube revisited using vtkbone</a>.
-                  And then move on to the more advanced tutorials dealing with <code>vtkbone</code>.
-                </p>
-              </li>
-            </ol>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="what_is_new">1.3. What is new in version 10</h3>
-          <div class="paragraph">
-            <p>Version 10 introduces the following new features:</p>
-          </div>
-          <div class="olist arabic">
-            <ol class="arabic">
-              <li>
-                <p>Updated code segments for compatibility with VTK 9.3 and Python 3.9–3.12.</p>
-              </li>
-              <li>
-                <p>Added support for <code>vtkbone 2.0</code> (previously 1.1) and <code>n88tools 10.0</code> (previously 9.0).</p>
-              </li>
-            </ol>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="installation">1.4. Installation</h3>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <div class="paragraph">
-            <p>In version 10, the installation of Faim is more modular than in previous versions.</p>
-          </div>
-          <div class="sect3">
-            <h4 id="_install_the_solvers_and_n88modelgenerator">1.4.1. Install the solvers and n88modelgenerator</h4>
-            <div class="paragraph">
-              <p>The solvers and n88modelgenerator are the non-open sourced components of Faim and require a license
-                file to run. They are bundled together into installers that can be downloaded from <a
-                  href="https://numerics88.com/n88/downloads/" class="bare">https://numerics88.com/n88/downloads/</a> .</p>
-            </div>
-            <div class="paragraph">
-              <div class="title">Linux</div>
-              <p>The Linux installer will be named something like <code>faim-10.0-linux.sh</code>. It can be installed
-                with the following command for a single user:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>bash faim-10.0-linux.sh</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>For a system-wide installation, add <code>sudo</code>:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>sudo bash faim-10.0-linux.sh</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>If you want to specify a particular install location, use the <code>--prefix</code> flag, for example
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>bash faim-10.0-linux.sh --prefix=$HOME/Numerics88</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <div class="title">Windows</div>
-              <p>The Windows installer will be named something like <code>faim-10.0-windows.exe</code>. Simply run
-                it to install.</p>
-            </div>
-            <div class="paragraph">
-              <div class="title">macOS</div>
-              <p>The Mac installer is a disk image with a name like <code>faim-10.0-macos.dmg</code>. Double-click
-                to mount it, and then drag the Faim icon to the Applications folder, or to any other
-                convenient location.</p>
-            </div>
-            <div class="paragraph">
-              <p>For all operating systems, it is possible to install Faim system-wide using
-                an administrator account or for a single user, for which
-                administrator rights are not needed. It is also possible to install it multiple
-                times on a single machine, so that each user has their own installation.
-                The installation directory can also be freely renamed and moved around.</p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="how_to_run">1.4.2. How to run the solvers</h4>
-            <div class="paragraph">
-              <p>
-
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>To run the solvers and n88modelgenerator, you may use any of the following methods:</p>
-            </div>
-            <div class="olist arabic">
-              <ol class="arabic">
-                <li>
-                  <p>Run them with the complete path. For example</p>
-                  <div class="listingblock">
-                    <div class="content">
-                      <pre>/path/to/faim/installation/n88modelgenerator</pre>
-                    </div>
-                  </div>
-                  <div class="paragraph">
-                    <p>or, on Windows</p>
-                  </div>
-                  <div class="listingblock">
-                    <div class="content">
-                      <pre>"c:\Program Files\Faim 10.0\n88modelgenerator"</pre>
-                    </div>
-                  </div>
-                </li>
-                <li>
-                  <p>Permanently add the directory where they are installed to your PATH variable. The exact
-                    method depends on your operating system.</p>
-                </li>
-                <li>
-                  <p>Run the script <code>setenv</code> in a Terminal (or Command Prompt on Windows) to set the PATH
-                    just
-                    for that Terminal. On Linux and macOS, this is done as follows</p>
-                  <div class="listingblock">
-                    <div class="content">
-                      <pre>source /path/to/faim/installation/setenv</pre>
-                    </div>
-                  </div>
-                  <div class="paragraph">
-                    <p>On Windows, if you are using a Command Prompt, then you can run</p>
-                  </div>
-                  <div class="listingblock">
-                    <div class="content">
-                      <pre>"c:\Program Files\Faim 10.0\setenv.bat"</pre>
-                    </div>
-                  </div>
-                  <div class="paragraph">
-                    <p>while for Windows PowerShell, the equivalent is</p>
-                  </div>
-                  <div class="listingblock">
-                    <div class="content">
-                      <pre>. "c:\Program Files\Faim 10.0\setenv.ps1"</pre>
-                    </div>
-                  </div>
-                </li>
-              </ol>
-            </div>
-            <div class="admonitionblock note">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/note.png" alt="Note">
-                  </td>
-                  <td class="content">
-                    In version 10, the solvers and n88modelgenerator are statically linked.
-                    Setting <code>LD_LIBRARY_PATH</code> (Linux) or <code>DYLD_LIBRARY_PATH</code> (macOS) is no longer
-                    required.
-                  </td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="license_file">1.4.3. Install a license file</h4>
-            <div class="paragraph">
-              <p>To receive a license file, you must run one of the Faim programs with the --license_check
-                option, and send the resulting UUID to <a href="mailto:skboyd@ucalgary.ca">skboyd@ucalgary.ca</a> . For
-                example,</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>&gt; n88modelgenerator --license_check
+<div id="header">
+<h1>Faim Finite Element Analysis Manual</h1>
+<div class="details">
+<span id="author" class="author">Eric Nodwell and Steven K. Boyd</span><br>
+</div>
+<div id="toc" class="toc2">
+<div id="toctitle">Table of Contents</div>
+<ul class="sectlevel1">
+<li><a href="#introduction">1. Introduction</a>
+<ul class="sectlevel2">
+<li><a href="#_overview">1.1. Overview</a></li>
+<li><a href="#_how_to_read_this_manual">1.2. How to read this manual</a></li>
+<li><a href="#installation">1.3. Installation</a></li>
+<li><a href="#workflow">1.4. Work flow for finite element analysis</a></li>
+<li><a href="#note_about_units">1.5. Units in Faim</a></li>
+</ul>
+</li>
+<li><a href="#using_n88modelgenerator">2. Preparing Finite Element Models With n88modelgenerator</a>
+<ul class="sectlevel2">
+<li><a href="#running_n88modelgenerator">2.1. Running n88modelgenerator</a></li>
+<li><a href="#test_orientation">2.2. Test orientation</a></li>
+<li><a href="#standard_tests">2.3. Standard tests</a></li>
+<li><a href="#uneven_surfaces">2.4. Uneven surfaces</a></li>
+<li><a href="#material_specification">2.5. Material specification</a></li>
+</ul>
+</li>
+<li><a href="#vtkbone">3. Preparing Finite Element Models with vtkbone</a>
+<ul class="sectlevel2">
+<li><a href="#api_documentation">3.1. vtkbone API documentation</a></li>
+<li><a href="#_array_indexing_in_vtkbone">3.2. Array indexing in vtkbone</a></li>
+<li><a href="#_typical_workflow_for_vtkbone">3.3. Typical workflow for vtkbone</a></li>
+<li><a href="#vtkboneFiniteElementModel">3.4. The vtkboneFiniteElementModel object</a></li>
+<li><a href="#_reading_a_segmented_image">3.5. Reading a segmented image</a></li>
+<li><a href="#_reading_an_unsegmented_image_and_segmenting_it">3.6. Reading an unsegmented image and segmenting it</a></li>
+<li><a href="#ensuring_connectivity">3.7. Ensuring connectivity</a></li>
+<li><a href="#_generating_a_mesh">3.8. Generating a mesh</a></li>
+<li><a href="#_defining_materials">3.9. Defining materials</a></li>
+<li><a href="#_constructing_a_material_table">3.10. Constructing a material table</a></li>
+<li><a href="#_creating_a_finite_element_model">3.11. Creating a finite element model</a></li>
+<li><a href="#creating_sets">3.12. Creating node and element sets</a></li>
+<li><a href="#adding_boundary_conditions">3.13. Adding boundary conditions</a></li>
+<li><a href="#adding_applied_loads">3.14. Adding applied loads</a></li>
+<li><a href="#adding_a_convergence_set">3.15. Optional: Adding a convergence set</a></li>
+<li><a href="#_ensuring_your_model_is_well_defined">3.16. Ensuring your model is well-defined</a></li>
+<li><a href="#setting_post_processing_parameters">3.17. Setting post-processing parameters</a></li>
+<li><a href="#filters_for_standard_tests">3.18. Filters for creating standard tests</a></li>
+<li><a href="#_modifying_a_finite_element_model">3.19. Modifying a finite element model</a></li>
+<li><a href="#_updating_the_history_and_the_log">3.20. Updating the history and the log</a></li>
+<li><a href="#_writing_a_model_file_for_input_to_the_solver">3.21. Writing a model file for input to the solver</a></li>
+<li><a href="#_visualizing_intermediate_results">3.22. Visualizing intermediate results</a></li>
+<li><a href="#_error_handling">3.23. Error handling</a></li>
+</ul>
+</li>
+<li><a href="#solving_linear_problems">4. Solving Linear Problems</a>
+<ul class="sectlevel2">
+<li><a href="#using_n88solver_slt">4.1. Obtaining solutions to linear problems using n88solver_slt</a></li>
+<li><a href="#_convergence">4.2. Convergence</a></li>
+<li><a href="#evaluating_solution_quality">4.3. Evaluating solution quality</a></li>
+</ul>
+</li>
+<li><a href="#solving_nonlinear_problems">5. Solving Nonlinear Problems</a>
+<ul class="sectlevel2">
+<li><a href="#using_n88solver_spt">5.1. Obtaining solutions to nonlinear problems with n88solver_spt</a></li>
+<li><a href="#elastoplastic_convergence">5.2. Convergence</a></li>
+<li><a href="#nonlinear_progressive_loads">5.3. Obtaining accurate nonlinear solutions by progressively applying loads</a></li>
+<li><a href="#evaluating_nonlinear_solution_quality">5.4. Evaluating nonlinear solution quality</a></li>
+</ul>
+</li>
+<li><a href="#postprocessing">6. Post-Processing and Analysis</a>
+<ul class="sectlevel2">
+<li><a href="#using_n88derivedfields">6.1. Calculating additional solution fields with n88derivedfields</a></li>
+<li><a href="#extracting_fields">6.2. Exporting solution fields from the model file</a></li>
+<li><a href="#using_n88postfaim">6.3. Obtaining standard post-processing values with n88postfaim</a></li>
+<li><a href="#tabulate_analysis">6.4. Tabulating results from analysis files</a></li>
+</ul>
+</li>
+<li><a href="#tutorials">7. Tutorials</a>
+<ul class="sectlevel2">
+<li><a href="#cube_tutorial">7.1. Introductory tutorial: Compressing a solid cube</a></li>
+<li><a href="#radius_slice_tutorial">7.2. Tutorial: Compression test of a radius bone slice</a></li>
+<li><a href="#radius_bending_tutorial">7.3. Tutorial: Bending test of a radius bone with an uneven surface</a></li>
+<li><a href="#radius_bending_elastoplastic_tutorial">7.4. Tutorial: Radius bending with elasto-plastic material properties</a></li>
+<li><a href="#cube_with_vtkbone_tutorial">7.5. Tutorial: Compressing a cube revisited using vtkbone</a></li>
+<li><a href="#cantilever_tutorial">7.6. Tutorial: Deflection of a cantilevered beam; adding custom boundary conditions and loads</a></li>
+<li><a href="#cantilever_elastoplastic_tutorial">7.7. Tutorial: A cantilevered beam with elastoplastic material properties</a></li>
+<li><a href="#screw_pullout_tutorial">7.8. Advanced custom model: A screw pull-out test</a></li>
+<li><a href="#longitudinal_fe_with_vtkbone_tutorial">7.9. Tutorial: Radius compression with transformed boundary conditions for longitudinal bone strength estimates</a></li>
+<li><a href="#additional_examples">7.10. Additional examples</a></li>
+</ul>
+</li>
+<li><a href="#special_topics">8. Special Topics</a>
+<ul class="sectlevel2">
+<li><a href="#material_arrays">8.1. Efficient Handling of Large Numbers of Material Definitions</a></li>
+<li><a href="#direct_mechanics">8.2. Direct Mechanics</a></li>
+<li><a href="#n88postfaim_pistoia_failure_load">8.3. Pistoia Failure Load Estimate</a></li>
+</ul>
+</li>
+<li><a href="#_command_reference">9. Command Reference</a>
+<ul class="sectlevel2">
+<li><a href="#faim">9.1. faim</a></li>
+<li><a href="#n88coarsen">9.2. n88coarsen</a></li>
+<li><a href="#n88copymodel">9.3. n88copymodel</a></li>
+<li><a href="#n88compress">9.4. n88compress</a></li>
+<li><a href="#n88derivedfields">9.5. n88derivedfields</a></li>
+<li><a href="#n88directmechanics">9.6. n88directmechanics</a></li>
+<li><a href="#n88evaluate">9.7. n88evaluate</a></li>
+<li><a href="#n88extractfields">9.8. n88extractfields</a></li>
+<li><a href="#n88extractsets">9.9. n88extractsets</a></li>
+<li><a href="#n88interpolatesolution">9.10. n88interpolatesolution</a></li>
+<li><a href="#n88modelgenerator">9.11. n88modelgenerator</a></li>
+<li><a href="#n88modelinfo">9.12. n88modelinfo</a></li>
+<li><a href="#n88pistoia">9.13. n88pistoia</a></li>
+<li><a href="#n88postfaim">9.14. n88postfaim</a></li>
+<li><a href="#n88solver">9.15. n88solver (_slt, _sla and _spt)</a></li>
+<li><a href="#n88tabulate">9.16. n88tabulate</a></li>
+</ul>
+</li>
+<li><a href="#upgrading_from_previous_versions">Appendix A: Upgrading from previous versions</a>
+<ul class="sectlevel2">
+<li><a href="#upgrading_from_version_7">A.1. Upgrading from Faim version 7</a></li>
+<li><a href="#upgrading_from_version_6">A.2. Upgrading from Faim version 6</a></li>
+<li><a href="#upgrading_from_version_5">A.3. Upgrading from Faim version 5</a></li>
+</ul>
+</li>
+<li><a href="#n88model_file_format">Appendix B: n88model File Format</a>
+<ul class="sectlevel2">
+<li><a href="#_converting_a_n88model_file_to_and_from_a_text_file">B.1. Converting a n88model file to and from a text file</a></li>
+<li><a href="#_example_n88model_file_in_cdl_text_format">B.2. Example n88model file in CDL text format</a></li>
+<li><a href="#_specification">B.3. Specification</a></li>
+<li><a href="#_writing_code_to_read_and_write_n88model_files">B.4. Writing code to read and write n88model files</a></li>
+</ul>
+</li>
+<li><a href="#scripting">Appendix C: Automating the Processing of Multiple Models With Scripts</a>
+<ul class="sectlevel2">
+<li><a href="#_a_script_to_generate_a_mesh_and_solve_it">C.1. A script to generate a mesh and solve it</a></li>
+<li><a href="#_scripting_several_models">C.2. Scripting several models</a></li>
+<li><a href="#_unattended_execution_of_scripts">C.3. Unattended execution of scripts</a></li>
+</ul>
+</li>
+<li><a href="#bibliography">Bibliography</a></li>
+<li><a href="#_index">Index</a></li>
+<li><a href="#_colophon">Colophon</a></li>
+</ul>
+</div>
+</div>
+<div id="content">
+<div id="preamble">
+<div class="sectionbody">
+<div class="paragraph">
+<p></p>
+</div>
+</div>
+</div>
+<div class="sect1">
+<h2 id="introduction">1. Introduction</h2>
+<div class="sectionbody">
+<div class="sect2">
+<h3 id="_overview">1.1. Overview</h3>
+<div class="paragraph">
+<p>Faim is a finite element solver optimized for solid mechanics simulations of
+bone, including strength and stiffness determinations, directly from
+three-dimensional medical image data such as micro-CT. Faim uses the mesh-free
+method, which is a highly memory efficient method of finite element analysis.
+This makes it possible to solve finite element
+models with very large numbers of degrees of freedom derived directly from
+high resolution scans.</p>
+</div>
+<div class="paragraph">
+<p>The Faim Finite Element solver has an established record of being used in
+scientific studies. See the <a href="#bibliography">bibliography</a> for selected studies.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_how_to_read_this_manual">1.2. How to read this manual</h3>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>If you need to install Faim, refer to <a href="#installation">Installation</a> in this chapter.</p>
+</li>
+<li>
+<p>Experienced users may want to read <a href="#what_is_new">[what_is_new]</a>, and then go directly
+to the sections indicated there.</p>
+</li>
+<li>
+<p>For new users, start by reading the section <a href="#workflow">Work flow for finite element analysis</a>.
+This will give you an overview of finite element analysis and the Numerics88 software tools.</p>
+</li>
+<li>
+<p>Next, we recommend that you
+jump first to <a href="#cube_tutorial">An introductory tutorial: compressing a solid cube</a>. It
+will take you through the typical steps of generating a model, verifying
+it, solving it, and analyzing the results. This is a good introduction to
+how everything fits together, and will help to put things into context.</p>
+</li>
+<li>
+<p>The intervening chapters (preceeding the Tutorials chapter) should be used as
+reference material. You probably don&#8217;t want to read them
+from beginning to end in one sitting with the intention of retaining
+everything; however, you should at least skim through them
+to be aware of the options, limitations and potential pitfalls.</p>
+</li>
+<li>
+<p>If you are a user who is familiar with <code>n88modelgenerator</code> and who is interested
+in creating your own custom models, start with the tutorial,
+<a href="#cube_with_vtkbone_tutorial">Compressing a cube revisited using vtkbone</a>.
+And then move on to the more advanced tutorials dealing with <code>vtkbone</code>.</p>
+</li>
+</ol>
+</div>
+<div id="what_is_new" class="paragraph">
+<p>What is new in version 10.0
+<sub>~</sub><sub>~</sub><sub>~</sub><sub>~</sub><sub>~</sub><sub>~</sub><sub>~</sub><sub>~</sub></p>
+</div>
+<div class="paragraph">
+<p>Version 10.0 introduces the following new features:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>Code segments have been updated for newer versions of VTK (9.3.0) and Python (3.9-3.12).</p>
+</li>
+<li>
+<p>Added support for <code>vtkbone</code> 2.0 (previously <code>vtkbone</code> 1.1) and <code>n88tools</code> 10.0 (previously <code>n88tools</code> 9.0).</p>
+</li>
+<li>
+<p>Built binaries for Windows (64 bit) and separate binaries for MacOS Arm64 versus MacOS Intel.</p>
+</li>
+</ol>
+</div>
+</div>
+<div class="sect2">
+<h3 id="installation">1.3. Installation</h3>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>In version 10, the installation of Faim is more modular than in previous versions.</p>
+</div>
+<div class="sect3">
+<h4 id="_install_the_solvers_and_n88modelgenerator">1.3.1. Install the solvers and n88modelgenerator</h4>
+<div class="paragraph">
+<p>The solvers and n88modelgenerator are the non-open sourced components of Faim and require a license file to run. They are bundled together into installers that can be downloaded from <a href="https://numerics88.com/n88/downloads" class="bare">https://numerics88.com/n88/downloads</a> . On the download page, select the link for your operating system and download the bundle by clicking on the appropriate package under the Assets tab (e.g., .dmg for MacOs, or .sh for Linux, or .exe for Windows).</p>
+</div>
+<div class="paragraph">
+<div class="title">Linux</div>
+<p>The Linux installer will be named something like <code>faim-10.0-linux.sh</code>. It can be installed
+with the following command for a single user:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>bash faim-10.0-linux.sh</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>For a system-wide installation, add <code>sudo</code>:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>sudo bash faim-10.0-linux.sh</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>If you want to specify a particular install location, use the <code>--prefix</code> flag, for example</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>bash faim-10.0-linux.sh --prefix=$HOME/Numerics88</pre>
+</div>
+</div>
+<div class="paragraph">
+<div class="title">Windows</div>
+<p>The Windows installer will be named something like <code>faim-10.0-windows.exe</code>. Simply run
+it to install.</p>
+</div>
+<div class="paragraph">
+<div class="title">macOS</div>
+<p>The Mac installer is a disk image with a name like  <code>Faim-10.0-mac.dmg</code>. Double-click
+to mount it, and then drag the Faim icon to the Applications folder, or to any other
+convenient location.</p>
+</div>
+<div class="paragraph">
+<p>For all operating systems, it is possible to install Faim system-wide using
+an administrator account or for a single user, for which
+administrator rights are not needed. It is also possible to install it multiple
+times on a single machine, so that each user has their own installation.
+The installation directory can also be freely renamed and moved around.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="how_to_run">1.3.2. How to run the solvers</h4>
+<div class="paragraph">
+<p>
+
+</p>
+</div>
+<div class="paragraph">
+<p>To run the solvers and n88modelgenerator, you may use any of the following methods:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>Open a terminal window and run them with the complete path. For example</p>
+<div class="listingblock">
+<div class="content">
+<pre>/path/to/faim/installation/n88modelgenerator</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>or on Windows</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>"c:\Program Files\Faim 10.0\n88modelgenerator"</pre>
+</div>
+</div>
+</li>
+<li>
+<p>Permanently add the directory where they are installed to your PATH variable. The exact
+method depends on your operating system.</p>
+</li>
+<li>
+<p>Run the script <code>setenv</code> in a Terminal (or Command Prompt on Windows) to set the PATH just
+for that Terminal. On Linux and macOS, this is done as follows</p>
+<div class="listingblock">
+<div class="content">
+<pre>source /path/to/faim/installation/setenv</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>On Windows, if you are using a Command Prompt, then you can run</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>"c:\Program Files\Faim 10.0\setenv.bat"</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>while for Windows PowerShell, the equivalent is</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>"c:\Program Files\Faim 10.0\setenv.ps1"</pre>
+</div>
+</div>
+</li>
+</ol>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+In version 10, the solvers and n88modelgenerator are statically linked.
+Setting <code>LD_LIBRARY_PATH</code> (Linux) or <code>DYLD_LIBRARY_PATH</code> (macOS) is no longer required.
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="license_file">1.3.3. Install a license file</h4>
+<div class="paragraph">
+<p>To receive a license file, you must run one of the Faim programs with the --license_check
+option, and send the resulting UUID to <a href="mailto:skboyd@ucalgary.ca">skboyd@ucalgary.ca</a> . For example,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>&gt; n88modelgenerator --license_check
 n88modelgenerator Version 10.0
-Copyright (c) 2010-2025, Numerics88 Solutions Ltd.
+Copyright (c) 2010-2025, Numerics88 Solutions.
 Host UUID is DFD0727B-89AA-4808-B03F-E73E80ABFE64</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>When you receive a license file, which is a short text file, you can copy it to one of several
-                possible locations where the software can find it. These locations are:</p>
-            </div>
-            <div class="olist arabic">
-              <ol class="arabic">
-                <li>
-                  <p>a subdirectory <code>licenses</code> of the installation directory, or</p>
-                </li>
-                <li>
-                  <p>the location specified by the environment variable <code>NUMERICS88_LICENSE_DIR</code>, if set,</p>
-                </li>
-                <li>
-                  <p>for an individual user, a directory <code>Numerics88/licenses</code>
-                    (<code>Numerics88\licenses</code> on Windows)
-                    in their home directory, or</p>
-                </li>
-                <li>
-                  <p>on Linux, <code>/etc/numerics88/licenses</code>, or</p>
-                </li>
-                <li>
-                  <p>on macOS, <code>/Library/Application Support/Numerics88/licenses</code>, or
-                    <code>$HOME/Library/Application Support/Numerics88/licenses</code>, or
-                  </p>
-                </li>
-                <li>
-                  <p>on macOS, <code>/Users/Shared/Numerics88/licenses</code>.</p>
-                </li>
-              </ol>
-            </div>
-            <div class="paragraph">
-              <p>You may have multiple license files installed at once.</p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="install_n88tools">1.4.4. Install n88tools and vtkbone</h4>
-            <div class="paragraph">
-              <p>The solvers and n88modelgenerator are most conveniently used together with
-                a collection a command-line utilities called <code>n88tools</code>. <code>n88tools</code>
-                is implemented in Python, and depends on the library <code>vtkbone</code>. Additionally,
-                <code>vtkbone</code> can be used to create custom model generation and processing scripts
-                in Python, as will be discussed in a subsequent chapter.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p><code>n88tools</code> and <code>vtkbone</code> are open-source. If you wish, you can download the
-                source code from <a href="https://github.com/Numerics88/"
-                  class="bare">https://github.com/Numerics88/</a> and compile them yourself,
-                using whatever installation of Python is most convenient for you.
-                Most users however, will not want to go through the hassle of compiling them.
-                The quickest way to install them is via Anaconda Python, which is supported
-                on Linux, Windows, and macOS. An advantage of using Anaconda Python is
-                that the very large repository of mathematical and scientific Python
-                packages available in Anaconda Python can be used together with Faim.
-                To install <code>n88tools</code> and <code>vtkbone</code> in Anaconda Python, follow these steps:</p>
-            </div>
-            <div class="olist arabic">
-              <ol class="arabic">
-                <li>
-                  <p>Install Anaconda Python from <a href="https://www.anaconda.com/distribution/"
-                      class="bare">https://www.anaconda.com/distribution/</a> . It is also
-                    possible to install Miniconda (<a href="http://conda.pydata.org/miniconda.html"
-                      class="bare">http://conda.pydata.org/miniconda.html</a>).
-                    Miniconda is identical to Anaconda, except that instead of starting with
-                    a very large set of installed python packages, it starts with a minimal
-                    set. You can of course add or subtract packages to suit your needs.
-                    Anaconda Python can be installed either system-wide, or just for an individual
-                    user. Faim works with either arrangement.</p>
-                </li>
-                <li>
-                  <p>Create an Anaconda environment in which to run Faim. To learn about Anaconda
-                    environments, we recommend that you take the conda test drive at
-                    <a href="http://conda.pydata.org/docs/test-drive.html"
-                      class="bare">http://conda.pydata.org/docs/test-drive.html</a> . Creating an Anaconda environment
-                    for Faim is optional; you could alternatively install <code>n88tools</code>
-                    and <code>vtkbone</code> directly in the root environment of Anaconda. However, using
-                    a dedicated enivornment greatly helps with avoiding possible conflicts, where
-                    for example <code>vtkbone</code> may want a specific version of a dependency, while some
-                    other Python package that you want to use requires a different version of the
-                    same dependency. In addition, you can create separate environments for
-                    different versions of <code>n88tools</code> and <code>vtkbone</code>, and easily switch between
-                    them.
-                    To create an Anaconda environment named <code>faim-10.0</code> and install <code>n88tools</code>
-                    version 10.0 and <code>vtkbone</code> all in one step, run the following command:
-                  </p>
-                  <div class="listingblock">
-                    <div class="content">
-                      <pre>conda create --name faim-10.0 --channel numerics88 --channel conda-forge python=3.11 n88tools numpy scipy</pre>
-                    </div>
-                  </div>
-                </li>
-              </ol>
-            </div>
-            <div class="paragraph">
-              <p>To use <code>n88tools</code>, you simply activate the Anaconda environment. On Linux and macOS,
-                this is done with</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>conda activate faim-10.0</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>On Windows, the command is</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>activate faim-10.0</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>You will have to activate the environment in each Terminal (or Command Prompt) in which
-                you want to use Faim.</p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="paraview_plugins">1.4.5. Install the Numerics88 plugins for ParaView</h4>
-            <div class="paragraph">
-              <p>
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>ParaView can be used for interactive rendering of Faim finite elements models.
-                For this purpose, Numerics88 provides plugins for ParaView. These allow
-                ParaView to open <code>n88model</code> files (as well as Scanco AIM files). The plugins
-                can be downloaded from <a href="http://numerics88.com/n88/downloads/"
-                  class="bare">http://numerics88.com/n88/downloads/</a> . You can unzip
-                the plugins into any convenient directory, and you can move and rename
-                the plugin directory as you like.</p>
-            </div>
-            <div class="admonitionblock important">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/important.png" alt="Important">
-                  </td>
-                  <td class="content">
-                    The ParaView plugins are specific to a particular version of
-                    ParaView and can not be loaded into a different version of ParaView.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>To load the plugins, open ParaView, and select the menu item <span class="menuseq"><b
-                    class="menu">Tools</b>&#160;<b class="caret">&#8250;</b> <b class="menuitem">Manage
-                    Plugins</b></span>.
-                The Plugin Manager will appear, as shown in <a href="#paraview_plugin_manager">Figure 1</a>.</p>
-            </div>
-            <div id="paraview_plugin_manager" class="imageblock">
-              <div class="content">
-                <img src="images/paraview_plugin_manager.png" alt="paraview plugin manager">
-              </div>
-              <div class="title">Figure 1. ParaView&#8217;s Plugin Manager</div>
-            </div>
-            <div class="paragraph">
-              <p>Click <b class="button">Load New&#8230;&#8203;</b> and navigate to the location
-                of the plugins. Select one of the
-                plugins, and then click <b class="button">OK</b>. You will need to repeat this for each of the
-                plugins, in particular for</p>
-            </div>
-            <div class="ulist">
-              <ul>
-                <li>
-                  <p><code>libAIMReader</code> ,</p>
-                </li>
-                <li>
-                  <p><code>libImageGaussianSmooth</code> , and</p>
-                </li>
-                <li>
-                  <p><code>libN88ModelReader</code> .</p>
-                </li>
-              </ul>
-            </div>
-            <div class="paragraph">
-              <p>They are now loaded, and you should be able to read to corresponding file
-                formats. You may want to select <code>Auto Load</code> for each plugin so that you don&#8217;t need to
-                load them every time you open Paraview. To do this, click the drop-down arrow beside the plugin in the
-                Plugin Manager, and make sure that <code>Auto Load</code> is selected. This is
-                shown in <a href="#plugin_manager_auto_load">Figure 2</a>.</p>
-            </div>
-            <div id="plugin_manager_auto_load" class="imageblock">
-              <div class="content">
-                <img src="images/plugin_manager_auto_load.png" alt="plugin manager auto load">
-              </div>
-              <div class="title">Figure 2. Selecting Auto Load in ParaView&#8217;s Plugin Manager</div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_additional_downloads">1.4.6. Additional downloads</h4>
-            <div class="paragraph">
-              <p>A PDF version of this manual can be downloaded from <a href="http://numerics88.com/n88/documentation/"
-                  class="bare">http://numerics88.com/n88/documentation/</a> .</p>
-            </div>
-            <div class="paragraph">
-              <p>Example data files, together with scripts for the tutorials in this manual, can be downloaded
-                from <a href="http://numerics88.com/n88/downloads/" class="bare">http://numerics88.com/n88/downloads/</a> .</p>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="workflow">1.5. Work flow for finite element analysis</h3>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <div class="paragraph">
-            <p>There are several steps involved in applying finite element analysis to 3D
-              medical image data. These steps are diagrammed in <a href="#faim_work_flow">Figure 3</a>.
-              Generally they can be categorized as pre-processing,
-              solving, and post-processing. Faim integrates these steps to simplify the work flow
-              as much as possible, while
-              retaining flexibility and customizability in preparing, solving and analyzing
-              finite element problems derived from micro-CT data.</p>
-          </div>
-          <div id="faim_work_flow" class="imageblock">
-            <div class="content">
-              <img src="images/faim_work_flow.png" alt="faim work flow">
-            </div>
-            <div class="title">Figure 3. Work flow for FE analysis of micro-CT data.</div>
-          </div>
-          <div class="sect3">
-            <h4 id="_segmentation">1.5.1. Segmentation</h4>
-            <div class="paragraph">
-              <p>The first step is to segment your 3D medical image data. Although in principle
-                any type of 3D image data can be analyzed, we focus on the use of
-                micro-CT images of bone here. During segmentation, bone and other relevant
-                structures in the CT image are labelled and identified. Segmentation is a very
-                broad and complex field. Because of this, Numerics88 software does not attempt
-                to provide all solutions. Instead, we recommend that you use the segmentation
-                tool provided by the manufacturer of your medical image equipment. This has
-                the advantage that it will be well-integrated into the scanning workflow. In
-                the case of Scanco systems, the tool is <em>Image Processing Language (IPL)</em>; for Skyscan systems,
-                <em>CT-analyzer</em> provides segmentation
-                functionality.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>In cases where your segmentation problem is unusually tricky and beyond the
-                abilities of the manufacturer&#8217;s tools, there are many third party solutions
-                available.</p>
-            </div>
-            <div class="paragraph">
-              <p>Whichever tool you use to perform the segmentation, the result should be a 3D
-                image file with integer values. These integer values are referred to as
-                "Material IDs", because they will subsequently be associated with abstract
-                mathematical material models. Material ID zero indicates background material
-                (often air, but sometimes also other material, such as marrow in bone) that can
-                be assumed to have negligible stiffness. Voxels with material ID zero will not be
-                converted to elements in the FE model. Other values can be associated freely
-                with particular materials or material properties as required.</p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_model_generation">1.5.2. Model generation</h4>
-            <div class="paragraph">
-              <p>Model generation is the process of converting a segmented image to a
-                geometrical representation suitable for finite element analysis, complete with
-                suitable constraints such as displacement boundary conditions and
-                applied loads.</p>
-            </div>
-            <div class="paragraph">
-              <p>A number of steps are required for complete model generation.</p>
-            </div>
-            <div class="dlist">
-              <dl>
-                <dt class="hdlist1">Meshing</dt>
-                <dd>
-                  <p>Meshing is the process of creating a geometric representation of the model
-                    as a collection of finite elements. For micro-CT data, we typically convert
-                    each voxel in the input image to a hexahedral (box-shaped)
-                    element in the FE model. Each of the corners of the voxel becomes a node
-                    in the FE model. Voxels labelled as background (<em>e.g.</em> 0) are ignored.</p>
-                </dd>
-              </dl>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    There may be scenarios in which it is desirable to have FE models that
-                    have elements smaller or larger than the voxels of the available image. Larger
-                    elements lead to smaller FE models (<em>i.e.</em> fewer degrees of freedom) which may
-                    solve faster, at the expense of accuracy. Smaller elements allow the forces
-                    and displacements to vary more smoothly (that is, with higher resolution) in
-                    the FE model, at the cost of increased solution time and memory requirements.
-                    To alter the FE model from the original 3D image, one typically resamples the
-                    original image to the desired resolution employing some sort of
-                    interpolation.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="dlist">
-              <dl>
-                <dt class="hdlist1">Material Assignment</dt>
-                <dd>
-                  <p>Material assignment is the process of mapping material IDs to
-                    mathematical models for material properties. For example, an isotropic
-                    material is specified by its Young&#8217;s modulus (E) and Poisson&#8217;s ratio (&#957;).</p>
-                </dd>
-                <dt class="hdlist1">Assigning Boundary Conditions and Applied Loads</dt>
-                <dd>
-                  <p>Boundary conditions and applied loads implement a specific mechanical test.
-                    The tool used will
-                    typically translate a desired physical action, such as a force or a
-                    displacement applied to a specific surface, into a set of constraints
-                    on a set of nodes or elements.</p>
-                </dd>
-              </dl>
-            </div>
-            <div class="paragraph">
-              <p>Faim provides two tools for model generation:</p>
-            </div>
-            <div class="dlist">
-              <dl>
-                <dt class="hdlist1"><a href="#n88modelgenerator">n88modelgenerator</a></dt>
-                <dd>
-                  <p><code>n88modelgenerator</code> is a program that can generate a number of standard
-                    tests (e.g. axial compression, confined compression, etc&#8230;&#8203;).
-                    <code>n88modelgenerator</code> has a number of
-                    options that allow for flexibility in tweaking these standard
-                    models. <code>n88modelgenerator</code> is the easiest method of generating models.
-                  </p>
-                </dd>
-                <dt class="hdlist1"><a href="#vtkbone">vtkbone</a></dt>
-                <dd>
-                  <p><code>vtkbone</code> is a collection of custom <a href="http://vtk.org">VTK</a> objects
-                    that you can use for creating models, and is a more advanced alternative to using
-                    <code>n88modelgenerator</code>. In order to use them, you need
-                    to write a program or script (typically in Python). Some learning
-                    curve is therefore involved, as well as the time to write, debug and test
-                    your programs. The advantage is nearly infinite customizability. VTK
-                    objects, including <code>vtkbone</code> objects, are designed to be easily chained
-                    together into execution pipelines. In this documention, we will give
-                    many examples of using <code>vtkbone</code> in Python scripts.
-                  </p>
-                </dd>
-              </dl>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_finite_element_solver">1.5.3. Finite element solver</h4>
-            <div class="paragraph">
-              <p>The finite element solver takes the input model and calculates a solution of the displacements and
-                forces on all the
-                nodes, subject to the specified constraints.</p>
-            </div>
-            <div class="paragraph">
-              <p>As finite element models derived from micro-CT can be very large, the memory
-                efficiency and speed of the solver are important. Faim uses a mesh-free
-                preconditioned conjugate gradient iterative solver. This type of solver is
-                highly memory efficient.</p>
-            </div>
-            <div class="paragraph">
-              <p>
-              </p>
-            </div>
-            <div class="admonitionblock note">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/note.png" alt="Note">
-                  </td>
-                  <td class="content">
-                    Faim is currently limited to small-strain solutions of models with
-                    linear and elastoplastic material definitions. This is adequate for most bone
-                    biomechanics modelling purposes, as bone undergoes very little strain before
-                    failure. However, if you need to accurately model large deformations, the Faim
-                    solver is not an appropriate tool.
-                  </td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_post_processing_and_visualization">1.5.4. Post-processing and visualization</h4>
-            <div class="paragraph">
-              <p>Post-processing and visualization can take many different forms, depending on
-                the goals of your analysis. For example, you may want to identify locations of
-                stress variations, in which case, a visualization tool is likely the
-                best approach. Or, you may want to obtain a basic output such as an overall
-                stiffness. A number of common post-processing operations are performed by Faim.</p>
-            </div>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="paragraph">
-              <p>Visualization is important even in cases where ultimately you want one or more
-                quantitative values. Visualization provides a conceptual overview of the
-                solution, and may allow one to quickly identify incorrect or invalid results
-                due to some deficiency in the input model. Many visualization software
-                packages exist. If you don&#8217;t have an existing favourite package, we recommend
-                the use of <a href="http://paraview.org">ParaView</a>, which is an open-source solution
-                from <a href="http://kitware.com">Kitware</a>. The Faim distribution includes plug-ins for
-                ParaView which allow ParaView to directly open Faim file types.</p>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="note_about_units">1.6. Units in Faim</h3>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <div class="paragraph">
-            <p>Faim is intrinsically unitless; you may use any system of units that are
-              self-consistent.</p>
-          </div>
-          <div class="paragraph">
-            <p>Nearly all micro-CT systems use length units of millimetres (mm). With forces
-              in Newtons (N), the consistent units for pressure are then megapascals (MPa),
-              as 1N/(1mm)<sup>2</sup> = 1MPa. Young&#8217;s modulus is an example of a quantity that has
-              units of pressure. In the examples, we will consistently use these units
-              (mm, N, MPa).</p>
-          </div>
-        </div>
-      </div>
-    </div>
-    <div class="sect1">
-      <h2 id="using_n88modelgenerator">2. Preparing Finite Element Models With n88modelgenerator</h2>
-      <div class="sectionbody">
-        <div class="paragraph">
-          <p></p>
-        </div>
-        <div class="sect2">
-          <h3 id="running_n88modelgenerator">2.1. Running n88modelgenerator</h3>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <div class="paragraph">
-            <p><a href="#n88modelgenerator">n88modelgenerator</a> is a tool to create a number of different standard
-              mechanical test simulations directly from segmented 3D images. This tool
-              is designed to be simple to use and in many cases, requires
-              no more than specifying a test type and an input file, like this</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>n88modelgenerator --test=axial mydata.aim</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>This will generate a file <code>mydata.n88model</code> that is suitable as input to the
-              Faim solver.</p>
-          </div>
-          <div class="admonitionblock tip">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/tip.png" alt="Tip">
-                </td>
-                <td class="content">
-                  For an introduction to <a href="#n88modelgenerator">n88modelgenerator</a>, we recommend that you start
-                  first with <a href="#cube_tutorial">An introductory tutorial: compressing a solid cube</a>. Getting
-                  your hands dirty as it were with the program is often the best way to learn.
-                  Once you have some familiarity with the program, the following documentation
-                  will make much more sense.
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>The models produced by <a href="#n88modelgenerator">n88modelgenerator</a> can be
-              modified and tuned by specifying a number of optional
-              parameters. For example, here <a href="#n88modelgenerator">n88modelgenerator</a> is run to create
-              an <a href="#axial_test">axial test</a> with a specified compressive strain and Young&#8217;s modulus:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>n88modelgenerator --test=axial --normal_strain=-0.01 --youngs_modulus=6829 test25a.aim</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>Parameters can be specified either on the command line, or in a configuration
-              file. Command line arguments must be preceded with a double dash (<code>--</code>). The argument
-              value can be separated from the argument name with either an equals sign (<code>=</code>)
-              or a space. A complete list of all possible arguments is given in
-              the <a href="#n88modelgenerator">Command Reference chapter</a>.
-              You can also run n88modelgenerator with the <code>--help</code> option to get a complete
-              list of possible parameters.
-              All parameters except the input file name are
-              optional; a default value will be used for unspecified parameters.
-              To use a configuration file, run <a href="#n88modelgenerator">n88modelgenerator</a> as follows.</p>
-          </div>
-          <div class="paragraph">
-            <p>
-            </p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>n88modelgenerator --config=mytest.conf test25a.aim</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>Here we are specifying the name of the input file on the command line.
-              This is convenient if we want to use the same configuration file for
-              multiple input files. It is also possible to specify the name of the
-              input file in the configuration file, using the option
-              <a href="#n88modelgenerator_input_file">input_file</a>. The output file name is left
-              unspecified, so a default value will be used (<code>test25a_axial.n88model</code> in
-              this case), but it can also be specified either on the command line or
-              in the configuration file if desired.
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The configuration file format is one line per option: the
-              parameter name (without leading dashes), followed by the equals character (<code>=</code>),
-              followed by the parameter value.
-              Lines beginning with <code>#</code> are ignored.
-              The following configuration file is exactly equivalent to the example
-              above using command line parameters.</p>
-          </div>
-          <div class="listingblock">
-            <div class="title">Example configuration file for n88modelgenerator</div>
-            <div class="content">
-              <pre># This is the example configuration file "mytest.conf"
+</div>
+</div>
+<div class="paragraph">
+<p>When you receive a license file, which is a short text file, you can copy it to one of several
+possible locations where the software can find it. These locations are:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>a subdirectory <code>licenses</code> of the installation directory, or</p>
+</li>
+<li>
+<p>the location specified by the environment variable <code>NUMERICS88_LICENSE_DIR</code>, if set,</p>
+</li>
+<li>
+<p>for an individual user, a directory <code>Numerics88/licenses</code> (<code>Numerics88\licenses</code> on Windows)
+in their home directory, or</p>
+</li>
+<li>
+<p>on Linux, <code>/etc/numerics88/licenses</code>, or</p>
+</li>
+<li>
+<p>on macOS, <code>/Library/Application Support/Numerics88/licenses</code>, or <code>$HOME/Library/Application Support/Numerics88/licenses</code>, or</p>
+</li>
+<li>
+<p>on macOS, <code>/Users/Shared/Numerics88/licenses</code>.</p>
+</li>
+</ol>
+</div>
+<div class="paragraph">
+<p>You may have multiple license files installed at once.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="install_n88tools">1.3.4. Install n88tools and vtkbone</h4>
+<div class="paragraph">
+<p>The solvers and n88modelgenerator are most conveniently used together with
+a collection a command-line utilities called <code>n88tools</code>. <code>n88tools</code>
+is implemented in Python, and depends on the library <code>vtkbone</code>. Additionally,
+<code>vtkbone</code> can be used to create custom model generation and processing scripts
+in Python, as will be discussed in a subsequent chapter.</p>
+</div>
+<div class="paragraph">
+<p><code>n88tools</code> and <code>vtkbone</code> are open-source. If you wish, you can download the
+source code from <a href="https://github.com/Numerics88/" class="bare">https://github.com/Numerics88/</a> and compile them yourself,
+using whatever installation of Python is most convenient for you.
+Most users however, will not want to go through the hassle of compiling them.
+The quickest way to install them is via Anaconda Python, which is supported
+on Linux, Windows, and macOS. An advantage of using Anaconda Python is
+that the very large repository of mathematical and scientific Python
+packages available in Anaconda Python can be used together with Faim.
+To install <code>n88tools</code> and <code>vtkbone</code> in Anaconda Python, follow these steps:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>Install Anaconda Python from <a href="https://www.anaconda.com/distribution/" class="bare">https://www.anaconda.com/distribution/</a> . It is also
+possible to install Miniconda (<a href="http://conda.pydata.org/miniconda.html" class="bare">http://conda.pydata.org/miniconda.html</a>).
+Miniconda is identical to Anaconda, except that instead of starting with
+a very large set of installed python packages, it starts with a minimal
+set. You can of course add or subtract packages to suit your needs.
+Anaconda Python can be installed either system-wide, or just for an individual
+user. Faim works with either arrangement.</p>
+</li>
+<li>
+<p>Create an Anaconda environment in which to run Faim. To learn about Anaconda
+environments, we recommend that you take the conda test drive at
+<a href="http://conda.pydata.org/docs/test-drive.html" class="bare">http://conda.pydata.org/docs/test-drive.html</a> . Creating an Anaconda environment
+for Faim is optional; you could alternatively install <code>n88tools</code>
+and <code>vtkbone</code> directly in the root environment of Anaconda. However, using
+a dedicated enivornment greatly helps with avoiding possible conflicts, where
+for example <code>vtkbone</code> may want a specific version of a dependency, while some
+other Python package that you want to use requires a different version of the
+same dependency. In addition, you can create separate environments for
+different versions of <code>n88tools</code> and <code>vtkbone</code>, and easily switch between them.
+To create an Anaconda environment named <code>faim-10.0</code> and install <code>n88tools</code>
+version 10.0 and <code>vtkbone</code> all in one step, run the following command:</p>
+<div class="listingblock">
+<div class="content">
+<pre>conda create --name faim-10.0 --channel numerics88 --channel conda-forge python=3.11 n88tools numpy scipy</pre>
+</div>
+</div>
+</li>
+</ol>
+</div>
+<div class="paragraph">
+<p>To use <code>n88tools</code>, you simply activate the Anaconda environment. On Linux and macOS,
+this is done with</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>conda activate faim-10.0</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>On Windows, the command is</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>activate faim-10.0</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>You will have to activate the environment in each Terminal (or Command Prompt) in which
+you want to use Faim.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="paraview_plugins">1.3.5. Install the Numerics88 plugins for ParaView</h4>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>ParaView can be used for interactive rendering of Faim finite elements models.
+For this purpose, Numerics88 provides plugins for ParaView. These allow
+ParaView to open <code>n88model</code> files (as well as Scanco AIM files). The plugins
+can be downloaded from <a href="http://numerics88.com/n88/downloads/" class="bare">http://numerics88.com/n88/downloads/</a> . You can unzip
+the plugins into any convenient directory, and you can move and rename
+the plugin directory as you like.</p>
+</div>
+<div class="admonitionblock important">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/important.png" alt="Important">
+</td>
+<td class="content">
+The ParaView plugins are specific to a particular version of
+ParaView and can not be loaded into a different version of ParaView.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>To load the plugins, open ParaView, and select the menu item <span class="menuseq"><b class="menu">Tools</b>&#160;<b class="caret">&#8250;</b> <b class="menuitem">Manage Plugins</b></span>.
+The Plugin Manager will appear, as shown in <a href="#paraview_plugin_manager">Figure 1</a>.</p>
+</div>
+<div id="paraview_plugin_manager" class="imageblock">
+<div class="content">
+<img src="images/paraview_plugin_manager.png" alt="paraview plugin manager">
+</div>
+<div class="title">Figure 1. ParaView&#8217;s Plugin Manager</div>
+</div>
+<div class="paragraph">
+<p>Click <b class="button">Load New&#8230;&#8203;</b> and navigate to the location
+of the plugins. Select one of the
+plugins, and then click <b class="button">OK</b>. You will need to repeat this for each of the
+plugins, in particular for</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p><code>libAIMReader</code> ,</p>
+</li>
+<li>
+<p><code>libImageGaussianSmooth</code> , and</p>
+</li>
+<li>
+<p><code>libN88ModelReader</code> .</p>
+</li>
+</ul>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+On MacOS the security may prevent you from loading the plugins. On your Mac go to
+Apple → System Settings → Privacy &amp; Security to authorize them to be loaded. You&#8217;ll need
+to authorize each of the three plugins.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>They are now loaded, and you should be able to read to corresponding file
+formats. You may want to select <code>Auto Load</code> for each plugin so that you don&#8217;t need to load them every time you open Paraview. To do this, click the drop-down arrow beside the plugin in the
+Plugin Manager, and make sure that <code>Auto Load</code> is selected. This is
+shown in <a href="#plugin_manager_auto_load">Figure 2</a>.</p>
+</div>
+<div id="plugin_manager_auto_load" class="imageblock">
+<div class="content">
+<img src="images/plugin_manager_auto_load.png" alt="plugin manager auto load">
+</div>
+<div class="title">Figure 2. Selecting Auto Load in ParaView&#8217;s Plugin Manager</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_additional_downloads">1.3.6. Additional downloads</h4>
+<div class="paragraph">
+<p>A PDF version of this manual can be downloaded from <a href="http://numerics88.com/n88/documentation/" class="bare">http://numerics88.com/n88/documentation/</a> .</p>
+</div>
+<div class="paragraph">
+<p>Example data files, together with scripts for the tutorials in this manual, can be downloaded
+from <a href="http://numerics88.com/n88/downloads/" class="bare">http://numerics88.com/n88/downloads/</a> .</p>
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="workflow">1.4. Work flow for finite element analysis</h3>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>There are several steps involved in applying finite element analysis to 3D
+medical image data. These steps are diagrammed in <a href="#faim_work_flow">Figure 3</a>.
+Generally they can be categorized as pre-processing,
+solving, and post-processing. Faim integrates these steps to simplify the work flow
+as much as possible, while
+retaining flexibility and customizability in preparing, solving and analyzing
+finite element problems derived from micro-CT data.</p>
+</div>
+<div id="faim_work_flow" class="imageblock">
+<div class="content">
+<img src="images/faim_work_flow.png" alt="faim work flow">
+</div>
+<div class="title">Figure 3. Work flow for FE analysis of micro-CT data.</div>
+</div>
+<div class="sect3">
+<h4 id="_segmentation">1.4.1. Segmentation</h4>
+<div class="paragraph">
+<p>The first step is to segment  your 3D medical image data. Although in principle
+any type of 3D image data can be analyzed, we focus on the use of
+micro-CT images of bone here. During segmentation, bone and other relevant
+structures in the CT image are labelled and identified. Segmentation is a very
+broad and complex field. Because of this, Numerics88 software does not attempt
+to provide all solutions. Instead, we recommend that you use the segmentation
+tool provided by the manufacturer of your medical image equipment. This has
+the advantage that it will be well-integrated into the scanning workflow. In
+the case of Scanco systems, the tool is <em>Image Processing Language (IPL)</em>; for Skyscan systems, <em>CT-analyzer</em> provides segmentation
+functionality.</p>
+</div>
+<div class="paragraph">
+<p>In cases where your segmentation problem is unusually tricky and beyond the
+abilities of the manufacturer&#8217;s tools, there are many third party solutions
+available.</p>
+</div>
+<div class="paragraph">
+<p>Whichever tool you use to perform the segmentation, the result should be a 3D
+image file with integer values. These integer values are referred to as
+"Material IDs", because they will subsequently be associated with abstract
+mathematical material models. Material ID zero indicates background material
+(often air, but sometimes also other material, such as marrow in bone) that can
+be assumed to have negligible stiffness. Voxels with material ID zero will not be
+converted to elements in the FE model. Other values can be associated freely
+with particular materials or material properties as required.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_model_generation">1.4.2. Model generation</h4>
+<div class="paragraph">
+<p>Model generation is the process of converting a segmented image to a
+geometrical representation suitable for finite element analysis, complete with
+suitable constraints such as displacement boundary conditions and
+applied loads.</p>
+</div>
+<div class="paragraph">
+<p>A number of steps are required for complete model generation.</p>
+</div>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">Meshing</dt>
+<dd>
+<p>Meshing  is the process of creating a geometric representation of the model
+as a collection of finite elements. For micro-CT data, we typically convert
+each voxel in the input image to a hexahedral (box-shaped)
+element in the FE model. Each of the corners of the voxel becomes a node
+in the FE model. Voxels labelled as background (<em>e.g.</em> 0) are ignored.</p>
+</dd>
+</dl>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+There may be scenarios in which it is desirable to have FE models that
+have elements smaller or larger than the voxels of the available image. Larger
+elements lead to smaller FE models (<em>i.e.</em> fewer degrees of freedom) which may
+solve faster, at the expense of accuracy. Smaller elements allow the forces
+and displacements to vary more smoothly (that is, with higher resolution) in
+the FE model, at the cost of increased solution time and memory requirements.
+To alter the FE model from the original 3D image, one typically resamples the
+original image to the desired resolution employing some sort of
+interpolation.
+</td>
+</tr>
+</table>
+</div>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">Material Assignment</dt>
+<dd>
+<p>Material assignment is the process of mapping material IDs to
+mathematical models for material properties. For example, an isotropic
+material is specified by its Young&#8217;s modulus (E) and Poisson&#8217;s ratio (&#957;).</p>
+</dd>
+<dt class="hdlist1">Assigning Boundary Conditions and Applied Loads</dt>
+<dd>
+<p>Boundary conditions and applied loads implement a specific mechanical test.
+The tool used will
+typically translate a desired physical action, such as a force or a
+displacement applied to a specific surface, into a set of constraints
+on a set of nodes or elements.</p>
+</dd>
+</dl>
+</div>
+<div class="paragraph">
+<p>Faim provides two tools for model generation:</p>
+</div>
+<div class="dlist">
+<dl>
+<dt class="hdlist1"><a href="#n88modelgenerator">n88modelgenerator</a></dt>
+<dd>
+<p><code>n88modelgenerator</code> is a program that can generate a number of standard
+tests (e.g. axial compression, confined compression, etc&#8230;&#8203;). <code>n88modelgenerator</code> has a number of
+options that allow for flexibility in tweaking these standard
+models. <code>n88modelgenerator</code> is the easiest method of generating models.</p>
+</dd>
+<dt class="hdlist1"><a href="#vtkbone">vtkbone</a></dt>
+<dd>
+<p><code>vtkbone</code> is a collection of custom <a href="http://vtk.org">VTK</a> objects
+that you can use for creating models, and is a more advanced alternative to using <code>n88modelgenerator</code>. In order to use them, you need
+to write a program or script (typically in Python). Some learning
+curve is therefore involved, as well as the time to write, debug and test
+your programs. The advantage is nearly infinite customizability. VTK
+objects, including <code>vtkbone</code> objects, are designed to be easily chained
+together into execution pipelines. In this documention, we will give
+many examples of using <code>vtkbone</code> in Python scripts.</p>
+</dd>
+</dl>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_finite_element_solver">1.4.3. Finite element solver</h4>
+<div class="paragraph">
+<p>The finite element solver takes the input model and calculates a solution of the displacements and forces on all the
+nodes, subject to the specified constraints.</p>
+</div>
+<div class="paragraph">
+<p>As finite element models derived from micro-CT can be very large, the memory
+efficiency and speed of the solver are important. Faim uses a mesh-free
+preconditioned conjugate gradient iterative solver. This type of solver is
+highly memory efficient.</p>
+</div>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+Faim is currently limited to small-strain solutions of models with
+linear and elastoplastic material definitions. This is adequate for most bone
+biomechanics modelling purposes, as bone undergoes very little strain before
+failure. However, if you need to accurately model large deformations, the Faim
+solver is not an appropriate tool.
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_post_processing_and_visualization">1.4.4. Post-processing and visualization</h4>
+<div class="paragraph">
+<p>Post-processing and visualization can take many different forms, depending on
+the goals of your analysis. For example, you may want to identify locations of
+stress variations, in which case, a visualization tool is likely the
+best approach. Or, you may want to obtain a basic output such as an overall
+stiffness. A number of common post-processing operations are performed by Faim.</p>
+</div>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>Visualization is important even in cases where ultimately you want one or more
+quantitative values. Visualization provides a conceptual overview of the
+solution, and may allow one to quickly identify incorrect or invalid results
+due to some deficiency in the input model. Many visualization software
+packages exist. If you don&#8217;t have an existing favourite package, we recommend
+the use of <a href="http://paraview.org">ParaView</a>, which is an open-source solution
+from <a href="http://kitware.com">Kitware</a>. The Faim distribution includes plug-ins for
+ParaView which allow ParaView to directly open Faim file types.</p>
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="note_about_units">1.5. Units in Faim</h3>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>Faim is intrinsically unitless; you may use any system of units that are
+self-consistent.</p>
+</div>
+<div class="paragraph">
+<p>Nearly all micro-CT systems use length units of millimetres (mm). With forces
+in Newtons (N), the consistent units for pressure are then megapascals (MPa),
+as 1N/(1mm)<sup>2</sup> = 1MPa. Young&#8217;s modulus is an example of a quantity that has
+units of pressure. In the examples, we will consistently use these units
+(mm, N, MPa).</p>
+</div>
+</div>
+</div>
+</div>
+<div class="sect1">
+<h2 id="using_n88modelgenerator">2. Preparing Finite Element Models With n88modelgenerator</h2>
+<div class="sectionbody">
+<div class="paragraph">
+<p></p>
+</div>
+<div class="sect2">
+<h3 id="running_n88modelgenerator">2.1. Running n88modelgenerator</h3>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p><a href="#n88modelgenerator">n88modelgenerator</a> is a tool to create a number of different standard
+mechanical test simulations directly from segmented 3D images. This tool
+is designed to be simple to use and in many cases, requires
+no more than specifying a test type and an input file, like this</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelgenerator --test=axial mydata.aim</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>This will generate a file <code>mydata.n88model</code> that is suitable as input to the
+Faim solver.</p>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+For an introduction to <a href="#n88modelgenerator">n88modelgenerator</a>, we recommend that you start
+first with <a href="#cube_tutorial">An introductory tutorial: compressing a solid cube</a>. Getting
+your hands dirty as it were with the program is often the best way to learn.
+Once you have some familiarity with the program, the following documentation
+will make much more sense.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>The models produced by <a href="#n88modelgenerator">n88modelgenerator</a> can be
+modified and tuned by specifying a number of optional
+parameters. For example, here <a href="#n88modelgenerator">n88modelgenerator</a> is run to create
+an <a href="#axial_test">axial test</a> with a specified compressive strain and Young&#8217;s modulus:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelgenerator --test=axial --normal_strain=-0.01 --youngs_modulus=6829 test25a.aim</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>Parameters can be specified either on the command line, or in a configuration
+file. Command line arguments must be preceded with a double dash (<code>--</code>). The argument
+value can be separated from the argument name with either an equals sign (<code>=</code>)
+or a space. A complete list of all possible arguments is given in
+the <a href="#n88modelgenerator">Command Reference chapter</a>.
+You can also run n88modelgenerator with the <code>--help</code> option to get a complete
+list of possible parameters.
+All parameters except the input file name are
+optional; a default value will be used for unspecified parameters.
+To use a configuration file, run <a href="#n88modelgenerator">n88modelgenerator</a> as follows.</p>
+</div>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelgenerator --config=mytest.conf test25a.aim</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>Here we are specifying the name of the input file on the command line.
+This is convenient if we want to use the same configuration file for
+multiple input files. It is also possible to specify the name of the
+input file in the configuration file, using the option
+<a href="#n88modelgenerator_input_file">input_file</a>. The output file name is left
+unspecified, so a default value will be used (<code>test25a_axial.n88model</code> in
+this case), but it can also be specified either on the command line or
+in the configuration file if desired.</p>
+</div>
+<div class="paragraph">
+<p>The configuration file format is one line per option: the
+parameter name (without leading dashes), followed by the equals character (<code>=</code>),
+followed by the parameter value.
+Lines beginning with <code>#</code> are ignored.
+The following configuration file is exactly equivalent to the example
+above using command line parameters.</p>
+</div>
+<div class="listingblock">
+<div class="title">Example configuration file for n88modelgenerator</div>
+<div class="content">
+<pre># This is the example configuration file "mytest.conf"
 test                      = axial
 normal_strain             = -0.01
 youngs_modulus            = 6829</pre>
-            </div>
-          </div>
-          <div class="admonitionblock note">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/note.png" alt="Note">
-                </td>
-                <td class="content">
-                  If a parameter is specified on both the command line and in a
-                  configuration file, the command line value takes precedence.
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p><a href="#n88modelgenerator">n88modelgenerator</a> can accept several different input
-              file formats. Refer to the <a href="#n88modelgenerator">Command Reference chapter</a> for details.</p>
-          </div>
-          <div class="admonitionblock tip">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/tip.png" alt="Tip">
-                </td>
-                <td class="content">
-                  <div class="paragraph">
-                    <p>If you have an input image in a different format, there are many
-                      possible solutions. One is to convert the file format, possibly with
-                      ParaView, which can read a large number of formats. VTK can also be
-                      used to convert many image files. For example, the following python script
-                      will convert a MetaImage format file to a VTK <code>.vti</code> file.</p>
-                  </div>
-                  <div class="listingblock">
-                    <div class="content">
-                      <pre>import vtk
+</div>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+If a parameter is specified on both the command line and in a
+configuration file, the command line value takes precedence.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p><a href="#n88modelgenerator">n88modelgenerator</a> can accept several different input
+file formats. Refer to the <a href="#n88modelgenerator">Command Reference chapter</a> for details.</p>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>If you have an input image in a different format, there are many
+possible solutions. One is to convert the file format, possibly with
+ParaView, which can read a large number of formats. VTK can also be
+used to convert many image files. For example, the following python script
+will convert a MetaImage format file to a VTK <code>.vti</code> file.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>import vtk
 reader = vtk.vtkMetaImageReader()
 reader.SetFileName ("test.mhd")
 writer = vtk.vtkXMLImageDataWriter()
 writer.SetFileName ("test.vti")
 writer.SetInputConnection (reader.GetOutputPort())
 writer.Update()</pre>
-                    </div>
-                  </div>
-                  <div class="paragraph">
-                    <p>For more information on scripting, refer to <a href="#vtkbone">Preparing Finite Element Models
-                        With vtkbone</a>.</p>
-                  </div>
-                </td>
-              </tr>
-            </table>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="test_orientation">2.2. Test orientation</h3>
-          <div class="paragraph">
-            <p>
-
-
-
-
-
-
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>To allow for flexibility in defining the orientation of applied tests, two
-              coordinate frames are defined:</p>
-          </div>
-          <div class="dlist">
-            <dl>
-              <dt class="hdlist1">Data Frame</dt>
-              <dd>
-                <p>The Data Frame is the coordinate frame of the data. The input and output
-                  data use the same coordinate system.</p>
-              </dd>
-              <dt class="hdlist1">Test Frame</dt>
-              <dd>
-                <p>The Test Frame is the coordinate frame in which the test boundary conditions
-                  are applied. Tests are defined with a constant orientation in the Test
-                  Frame.</p>
-              </dd>
-            </dl>
-          </div>
-          <div class="paragraph">
-            <p>The relationship between the Test Frame and the Data Frame is set by the value
-              of the parameter <a href="#n88modelgenerator_test_axis">test_axis</a> according to the following
-              figure. In the figure, the red-colored axis is the test axis. What this
-              implies exactly depends on the kind of test that is being applied. For
-              example, for a compression test, the direction of compression is along the test
-              axis. The test axis is always the <em>z</em> axis in the Test Frame, and always equal
-              to value of the parameter <a href="#n88modelgenerator_test_axis">test_axis</a> in the Data Frame. The
-              default value for <code>test_axis</code> is <em>z</em> ; for this case the Test Frame and the
-              Data Frame coincide, as shown.</p>
-          </div>
-          <div id="coord_frames" class="imageblock">
-            <div class="content">
-              <img src="images/coord_frames.png" alt="coord frames">
-            </div>
-            <div class="title">Figure 4. Coordinate frames Test Frame and Data Frame as set by the option test_axis.
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>In the test descriptions, references to &#8220;Top&#8221; refer to the maximum <em>z</em> surface
-              in the Test Frame; References to &#8220;Bottom&#8221; refer to the minimum <em>z</em> surface in
-              the Test Frame. Likewise &#8220;Sides&#8221; refers to the surfaces normal to the <em>x</em> and
-              <em>y</em> axes in the
-              Test Frame.
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The Test Frame is used only for the specification of tests (<em>i.e.</em> a specific configuration of
-              boundary
-              conditions and applied loads) within <a href="#n88modelgenerator">n88modelgenerator</a> and
-              <code>vtkbone</code>. When the
-              model is written to disk as an <code>n88model</code> file, it is encoded
-              with reference to the original Data Frame. As a consequence
-              post-processing and visualization are in the original Data Frame.
-            </p>
-          </div>
-          <div class="admonitionblock note">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/note.png" alt="Note">
-                </td>
-                <td class="content">
-                  In terms of rotations, for a setting of test axis = <em>x</em>, the
-                  transformation from the Test Frame to the Data Frame is a rotation of -90º
-                  about the <em>x</em> axis, followed by a -90º rotation about the <em>z'</em> axis. For a
-                  setting of test axis = <em>y</em>, the transformation from the Test Frame to the Data
-                  Frame is a rotation of 90º about the y axis, followed by a 90º rotation about
-                  the <em>z'</em> axis. These transformation sequences are of course not unique. For
-                  most applications, it is not necessary to know these transformations; it
-                  should be sufficient to refer to <a href="#coord_frames">Figure 4</a>.
-                </td>
-              </tr>
-            </table>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="standard_tests">2.3. Standard tests</h3>
-          <div class="paragraph">
-            <p>
-            </p>
-          </div>
-          <div class="admonitionblock important">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/important.png" alt="Important">
-                </td>
-                <td class="content">
-                  Axis directions in the following test descriptions are in the Test Frame.
-                  All the standard tests can be applied along any axis of the data by specifying
-                  <a href="#n88modelgenerator_test_axis">test_axis</a>, as described in the previous section.
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="sect3">
-            <h4 id="uniaxial_test">2.3.1. Uniaxial test</h4>
-            <div class="paragraph">
-              <p>
-
-
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>A uniaxial test is a compression (or tension) test with a fixed displacement
-                or force applied along the z axis. Two boundary conditions are applied:</p>
-            </div>
-            <div class="olist arabic">
-              <ol class="arabic">
-                <li>
-                  <p>Nodes on the bottom surface are fixed in the <em>z</em> direction, but free in the <em>x</em> and
-                    <em>y</em> directions.
-                  </p>
-                </li>
-                <li>
-                  <p>Nodes on the top surface are subject to a fixed displacement in the
-                    <em>z</em> direction. No constraints are applied to the <em>x</em> and <em>y</em> directions.
-                  </p>
-                </li>
-              </ol>
-            </div>
-            <div class="paragraph">
-              <p>A uniaxial test is shown in <a href="#compression_tests_figure">Figure 5</a>, along with other
-                types of compression tests. The coordinate system shown in the figure
-                is the Test Frame. A uniaxial test is distinguished from an axial test (described below) by the fact
-                that nodes on
-                the top and bottom surfaces are unconstrained laterally. This corresponds to zero contact friction.</p>
-            </div>
-            <div class="paragraph">
-              <p>The amount of displacement applied to the top surface can be specified
-                by either the <a href="#n88modelgenerator_normal_strain">normal_strain</a> or
-                <a href="#n88modelgenerator_displacement">displacement</a> parameters.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>
-              </p>
-            </div>
-            <div class="admonitionblock important">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/important.png" alt="Important">
-                  </td>
-                  <td class="content">
-                    Uniaxial models are under-constrained since, as defined, arbitrary lateral
-                    motion, and arbitrary rotation about the <em>z</em> axis of the entire model are
-                    permitted. This results in a singular system of equations.
-                    A "pin" may be added to prevent these motions. See <a href="#n88modelgenerator_pin">pin
-                      parameter</a>.
-                    However, Faim will find a (non-unique) solution even without a pin, and in
-                    fact typically does so faster in the absence of a pin. A pin should always
-                    be added if you want to use an algebraic solver, or if you intend to compare
-                    the absolute positions of multiple solved models. Alternatively, you can register
-                    the solved models before comparing absolute positions.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div id="compression_tests_figure" class="imageblock">
-              <div class="content">
-                <img src="images/compression_tests.png" alt="compression tests">
-              </div>
-              <div class="title">Figure 5. Compression tests.</div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="axial_test">2.3.2. Axial test</h4>
-            <div class="paragraph">
-              <p>
-
-
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>An axial test is similar to a uniaxial test, with the additional constraint
-                that nodes on the top and bottom surfaces are also laterally fixed
-                (<em>i.e.</em> no movement of these nodes is permitted in the x-y directions). This
-                corresponds to 100% contact friction.</p>
-            </div>
-            <div class="paragraph">
-              <p>An axial test is shown in <a href="#compression_tests_figure">Figure 5</a>.</p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="confined_test">2.3.3. Confined test</h4>
-            <div class="paragraph">
-              <p>
-
-
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>A confined test is similar to an axial test, with the addition that nodes on
-                the side surfaces of the image volume are constrained laterally (i.e. no
-                movement of these nodes is permitted in the x-y directions).</p>
-            </div>
-            <div class="paragraph">
-              <p>A confined test is shown in <a href="#compression_tests_figure">Figure 5</a>.</p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="symshear_test">2.3.4. Symmetric shear test (symshear)</h4>
-            <div class="paragraph">
-              <p>
-
-
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>In a symmetric shear test, the side surfaces are angularly displaced to
-                correspond to a given shear strain. This is shown in <a href="#symshear_test_figure">Figure 6</a>. The
-                only parameter of relevance to a symmetric shear
-                test is <a href="#n88modelgenerator_shear_strain">shear_strain</a>.</p>
-            </div>
-            <div id="symshear_test_figure" class="imageblock">
-              <div class="content">
-                <img src="images/symshear_test.png" alt="symshear test">
-              </div>
-              <div class="title">Figure 6. symshear test. The side faces (shaded) are displaced as shown.</div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="dshear_test">2.3.5. Directional shear test (dshear)</h4>
-            <div class="paragraph">
-              <p>
-
-
-
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>In a directional shear test, the top surface is displaced laterally, as shown in
-                <a href="#dshear_test_figure">Figure 7</a>. The direction and degree of displacement are
-                set by the parameter <a href="#n88modelgenerator_shear_vector">shear_vector</a>,
-                which gives the <em>x</em>,<em>y</em> shear displacement in the Test Frame.
-                Typically <code>shear_vector</code> is unitless, and the actual displacement
-                is the shear vector scaled by the vertical height of the model (<em>i.e.</em>
-                the image extent in the z direction in the Test Frame).
-                If however <a href="#n88modelgenerator_scale_shear_to_height">scale_shear_to_height</a>
-                is set to <code>off</code>, then <code>shear_vector</code> is taken to have absolute units of
-                length.
-              </p>
-            </div>
-            <div id="dshear_test_figure" class="imageblock">
-              <div class="content">
-                <img src="images/dshear_test.png" alt="dshear test">
-              </div>
-              <div class="title">Figure 7. dshear test. The upper shaded area represents the rigidly translated boundary
-                surface defined by the shear vector (blue).</div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="bending_test">2.3.6. Bending test</h4>
-            <div class="paragraph">
-              <p>
-
-
-
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>In a bending test, the top and bottom surfaces are rotated in opposite
-                directions, as shown in <a href="#bending_test_figure">Figure 8</a>. The rotation axes are defined by
-                a neutral axis, given by a point in the <em>x</em>,<em>y</em> plane (shown as <code>C</code>) and an
-                angle in the <em>x</em>,<em>y</em> plane. (The coordinate system shown in
-                the figure is the Test Frame.) The neutral axis, projected onto the top and
-                bottom surfaces, is indicated in
-                blue in <a href="#bending_test_figure">Figure 8</a>.
-                The point and angle defining the neutral axis can be set in
-                n88modelgenerator with the parameters
-                <a href="#n88modelgenerator_central_axis">central_axis</a> and
-                <a href="#n88modelgenerator_neutral_axis_angle">neutral_axis_angle</a> respectively.
-                The central axis (point <code>C</code>) can be specified as a numerical <em>x</em>,<em>y</em> pair, or
-                as the
-                center of mass or the center of the data bounds; center of mass is the default setting.
-                The default angle of the neutral axis is 90º, parallel to the <em>y</em>-axis.
-                The amount of rotation can be specified with the parameter <a
-                  href="#n88modelgenerator_bending_angle">bending_angle</a>. The top and the bottom
-                surfaces are each rotated by half of this value. Positive rotation is defined as in <a
-                  href="#bending_test_figure">Figure 8</a>.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>In a bending test, the top and bottom surfaces are laterally constrained; no x,y motion of the nodes on
-                these surfaces is permitted.</p>
-            </div>
-            <div id="bending_test_figure" class="imageblock">
-              <div class="content">
-                <img src="images/bending_test.png" alt="bending test">
-              </div>
-              <div class="title">Figure 8. Bending test. The shaded areas represent the rigidly rotated boundary
-                surfaces about the neutral axes (in blue). The neutral axes are defined by the central axis (C-C') and
-                an angle in the x-y plane.</div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="torsion_test">2.3.7. Torsion test</h4>
-            <div class="paragraph">
-              <p>
-
-
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>In a torsion test, the top surface is rotated about the center axis, as shown
-                in <a href="#torsion_test_figure">Figure 9</a>. The angle of rotation is given by
-                <a href="#n88modelgenerator_twist_angle">twist_angle</a>. In the figure positive
-                rotation is shown. The central axis lies parallel to the <em>z</em> axis in the test
-                frame; its position can be specified with the parameter
-                <a href="#n88modelgenerator_central_axis">central_axis</a>. The default position of
-                the central axis is passing through the center of mass.
-              </p>
-            </div>
-            <div id="torsion_test_figure" class="imageblock">
-              <div class="content">
-                <img src="images/torsion_test.png" alt="torsion test">
-              </div>
-              <div class="title">Figure 9. torsion test. The upper shaded area represents the rotated boundary surface
-                about the central axis (C-C').</div>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="uneven_surfaces">2.4. Uneven surfaces</h3>
-          <div class="paragraph">
-            <p>
-
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The grey planes in <a href="#compression_tests_figure">Figure 5</a> represent the
-              top and bottom boundary surfaces of the image volume. The
-              actual surface to which boundary conditions are applied is by default that
-              part of your object which passes through these boundaries.
-              If your object does not intersect with the top and bottom
-              boundaries of the image volume, then no boundary conditions can be applied
-              using this method.</p>
-          </div>
-          <div class="paragraph">
-            <p>An alternative is to make use of the parameters <a href="#n88modelgenerator_top_surface">top_surface</a>
-              and
-              <a href="#n88modelgenerator_bottom_surface">bottom_surface</a>. The
-              &#8220;uneven surface&#8221; near a boundary is defined as the
-              surface visible from that boundary (viewed from an infinite distance).
-              Visibility is evaluated using ray tracing. Thus for a porous material
-              such as bone the &#8220;uneven surface&#8221; consists of nodes on the top
-              visible surface, not including nodes on surfaces down inside the pores.
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The <code>visible</code> setting can be used for any type of test except <a
-                href="#symshear_test">symshear</a>. For example, if used with a
-              <a href="#bending_test">bending test</a>, the boundary conditions are no longer exactly tilted planes as
-              shown
-              in figure <a href="#bending_test_figure">Figure 8</a>; the displacement of each node on the visible
-              surfaces is still
-              calculated as described from its <em>x</em>,<em>y</em> coordinates, but the displaced nodes
-              no longer lie all on a plane (because the initial positions are not on a plane.)
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>Because the visibility test may find some surfaces far from the boundary
-              in question, it should usually be used together with the parameters
-              <a href="#n88modelgenerator_bottom_surface_maximum_depth">bottom_surface_maximum_depth</a>
-              and/or
-              <a href="#n88modelgenerator_top_surface_maximum_depth">top_surface_maximum_depth</a>.
-              These provide a limit, as a distance from the boundary, for the search for the
-              uneven surface.
-            </p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="material_specification">2.5. Material specification</h3>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <div class="paragraph">
-            <p>Material specification consists of two parts:</p>
-          </div>
-          <div class="dlist">
-            <dl>
-              <dt class="hdlist1">Material Definition creation</dt>
-              <dd>
-                <p>One or more material definitions are created. A material definition is a
-                  mathematical description of material mechanical properties. It has a
-                  definite type (<em>e.g.</em> linear isotropic or linear orthotropic) and specific numerical
-                  values relevant to that type (<em>e.g.</em> a linear isotropic material definition will have
-                  particular values of Young&#8217;s modulus and Poisson&#8217;s ratio).</p>
-              </dd>
-              <dt class="hdlist1">Material Table generation</dt>
-              <dd>
-                <p>The material table maps material IDs, as assigned during segmentation, to
-                  material definitions. It is possible to combine different types of materials
-                  (<em>e.g.</em> isotropic and orthotropic) in the same material table. A single
-                  material definition can be assigned to multiple material IDs.</p>
-              </dd>
-            </dl>
-          </div>
-          <div class="paragraph">
-            <p>In Numerics88, material definitions are indexed by name. This is not usually
-              evident in
-              <code>n88modelgenerator</code>, as for basic usage, the names are generated automatically,
-              and are not needed by the user. However for advanced material specification,
-              this becomes important, as we will see below when material definition
-              files are discussed.
-            </p>
-          </div>
-          <div class="sect3">
-            <h4 id="elastic_material_properties">2.5.1. Elastic material properties</h4>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="paragraph">
-              <p>Linear elastic materials obey Hooke&#8217;s Law,</p>
-            </div>
-            <div class="paragraph">
-              <p>
-
-
-
-
-
-              </p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                \begin{bmatrix} \varepsilon_{xx} \\ \varepsilon_{yy} \\ \varepsilon_{zz} \\ \gamma_{yz} \\ \gamma_{zx}
-                \\ \gamma_{xy} \end{bmatrix} = \mathbf{S} \begin{bmatrix} \sigma_{xx} \\ \sigma_{yy} \\ \sigma_{zz} \\
-                \sigma_{yz} \\ \sigma_{zx} \\ \sigma_{xy}\end{bmatrix}
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>where &#949;<sub>xx</sub>,&#949;<sub>yy</sub>,&#949;<sub>zz</sub> are the
-                <em>engineering normal strains</em>
-                along the axis directions,
-                &#947;<sub>yz</sub>,&#947;<sub>zx</sub>,&#947;<sub>xy</sub>
-                are the <em>engineering shear strains</em>, and &#963;<sub>ij</sub> are the corresponding
-                stresses. <strong>S</strong> is the compliance matrix. The inverse of <strong>S</strong> gives
-                <strong>&#963;</strong>
-                in terms of <strong>&#949;</strong>, and is the stress-strain
-                matrix <strong>C</strong>, also sometimes called the stiffness matrix.
-              </p>
-            </div>
-            <div id="isotropic_material" class="paragraph">
-              <div class="title">Isotropic materials</div>
-              <p>
-
-
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>An isotropic material has the same mechanical properties in every direction.
-                Elastic isotropic materials are characterized by only two independent parameters:
-                Young&#8217;s modulus (<em>E</em>) and Poisson&#8217;s ratio (<em>&#957;</em>). The compliance matrix is
-              </p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                \mathbf{S} = \frac{1}{E} \begin{bmatrix} 1 &amp; -\nu &amp; -\nu &amp; 0 &amp; 0 &amp; 0 \\ -\nu &amp; 1
-                &amp; -\nu &amp; 0 &amp; 0 &amp; 0 \\ -\nu &amp; -\nu &amp; 1 &amp; 0 &amp; 0 &amp; 0 \\ 0 &amp; 0 &amp;
-                0 &amp; 2(1-\nu) &amp; 0 &amp; 0 \\ 0 &amp; 0 &amp; 0 &amp; 0 &amp; 2(1-\nu) &amp; 0 \\ 0 &amp; 0 &amp;
-                0 &amp; 0 &amp; 0 &amp; 2(1-\nu) \end{bmatrix}
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>For <a href="#n88modelgenerator">n88modelgenerator</a>
-                the isotropic elastic parameters are set with
-                <a href="#n88modelgenerator_youngs_modulus">youngs_modulus</a> and
-                <a href="#n88modelgenerator_poissons_ratio">poissons_ratio</a>.
-                The default values are 6829 MPa and 0.3, as reported by <a href="#macneil2008">MacNeil and Boyd
-                  (2008)</a>.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>An isotropic material definition is the default, and will be assumed if
-                no other material type is specified.</p>
-            </div>
-            <div id="orthotropic_material" class="paragraph">
-              <div class="title">Orthotropic materials</div>
-              <p>
-
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>Orthotropic elastic materials have two or three mutually orthogonal twofold
-                axes of symmetry. The compliance matrix is</p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                \mathbf{S} = \begin{bmatrix} 1/E_x &amp; -\nu_{yx}/E_y &amp; -\nu_{zx}/E_z &amp; 0 &amp; 0 &amp; 0 \\
-                -\nu_{xy}/E_x &amp; 1/E_y &amp; -\nu_{zy}/E_z &amp; 0 &amp; 0 &amp; 0 \\ -\nu_{xz}/E_x &amp;
-                -\nu_{yz}/E_y &amp; 1/E_z &amp; 0 &amp; 0 &amp; 0 \\ 0 &amp; 0 &amp; 0 &amp; 1/G_{yz} &amp; 0 &amp; 0 \\
-                0 &amp; 0 &amp; 0 &amp; 0 &amp; 1/G_{zx} &amp; 0 \\ 0 &amp; 0 &amp; 0 &amp; 0 &amp; 0 &amp; 1/G_{xy}
-                \end{bmatrix}
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>where</p>
-            </div>
-            <div class="hdlist">
-              <table>
-                <tr>
-                  <td class="hdlist1">
-                    <em>E<sub>i</sub></em>
-                  </td>
-                  <td class="hdlist2">
-                    <p>is the Young&#8217;s modulus along axis <em>i</em> ,</p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="hdlist1">
-                    <em>&#957;<sub>ij</sub></em>
-                  </td>
-                  <td class="hdlist2">
-                    <p>is the Poisson&#8217;s ratio that corresponds to a contraction in direction <em>j</em> when an
-                      extension is applied in direction <em>i</em> ,</p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="hdlist1">
-                    <em>G<sub>ij</sub></em>
-                  </td>
-                  <td class="hdlist2">
-                    <p>is the shear modulus in direction <em>j</em> on the plane whose normal is in direction <em>i</em>
-                      . It is also called the modulus of rigidity.</p>
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Note that the <em>&#957;<sub>ij</sub></em> are not all independent. The compliance matrix
-                must be symmetric, hence</p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                \begin{aligned} -\nu_{yx}/E_y &amp;= -\nu_{xy}/E_x ~ , \\ -\nu_{zy}/E_z &amp;= -\nu_{yz}/E_y ~ , \\
-                -\nu_{xz}/E_x &amp;= -\nu_{zx}/E_z ~ . \end{aligned}
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Therefore only 9 independent parameters are required to fully specify an
-                orthotropic material.</p>
-            </div>
-            <div class="paragraph">
-              <p>For <a href="#n88modelgenerator">n88modelgenerator</a> the orthotropic elastic parameters are set
-                with <a href="#n88modelgenerator_orthotropic_parameters">orthotropic_parameters</a>. Whenever this
-                parameter is specified, an orthotropic material definition will be used.</p>
-            </div>
-            <div class="admonitionblock note">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/note.png" alt="Note">
-                  </td>
-                  <td class="content">
-                    An orthotropic material defined with a compliance matrix as given above
-                    necessarily has its axes of symmetry aligned with the coordinate axes. In contrast, an
-                    orthotropic material which is rotated relative to the coordinate axes has a more
-                    general form of compliance matrix. In Numerics88 software, such a non-aligned orthotropic
-                    material must be specified as an anisotropic material. A rotation matrix relates
-                    elements of the anisotropic compliance matrix to the orthotropic compliance matrix. If
-                    you want the mathematical details, please contact us!
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div id="anisotropic_material" class="paragraph">
-              <div class="title">Anisotropic material</div>
-              <p>
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>The most general form of an elastic material is anisotropic, for which
-                we allow the stress-strain matrix, or the compliance matrix, to have arbitrary values.
-                The stress-strain matrix is symmetric, therefore an anisotropic material requires
-                21 parameters to define.
-                To define an anisotropic material with <code>n88modelgenerator</code>, it
-                is necessary to use a
-                <a href="#material_definitions_file">material definitions file</a>. See below.
-              </p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="plasticity">2.5.2. Plasticity</h4>
-            <div class="paragraph">
-              <p>
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>Elastoplastic material behaviour is an idealisation of a particular kind of nonlinear
-                stress-strain relationship in which we divide the stress-strain relationship into two
-                clearly distinguished regions: (1) an elastic region, which is identical to the
-                linear elastic material behaviour described above, and, (2) a purely plastic region. For a
-                material subject to a uniaxial deformation, this is sketched in
-                <a href="#elastoplastic_1d_figure">Figure 10</a>. In <a href="#elastoplastic_1d_figure">Figure 10</a>A,
-                we see the initial
-                elastic region, which in this sketch is tensile, with slope equal to the Young&#8217;s
-                modulus. This region continues until the stress reaches the yield strength, <em>Y</em>. For
-                further increases in strain beyond this point, the stress ceases to increase, and
-                remains constant at the yield strength. The incremental strain in this region is
-                referred to as the plastic strain. Although we must perform work to produce a plastic
-                strain, the plastic strain is irreversible, as can be seen in
-                <a href="#elastoplastic_1d_figure">Figure 10</a>B. In B, after applying a large plastic strain, the
-                strain
-                is gradually reduced. The plastic strain component is unchanged during the relaxation;
-                instead, it is the elastic component of the strain that is reduced. As the stress
-                depends entirely on the elastic component of the strain, the stress also immediately
-                begins to decrease. Hence, we do not travel back along the &#8220;outward&#8221; path, but
-                instead return along a shifted version of the linear elastic region: the material
-                exhibits <em>hysteresis</em>. Although the initial point and the final point of
-                <a href="#elastoplastic_1d_figure">Figure 10</a>B are both characterised by zero strain, the state is
-                quite
-                different, as the latter state has a large plastic strain. If we continue to reduce the
-                strain, as in <a href="#elastoplastic_1d_figure">Figure 10</a>C, the stress becomes negative - a
-                compressive
-                stress - until, once again, we reach the yield strength limit. Note that the yield
-                strength in tension and the yield strength in compression are not necessarily equal.
-              </p>
-            </div>
-            <div id="elastoplastic_1d_figure" class="imageblock">
-              <div class="content">
-                <img src="images/elastoplastic_1d.png" alt="elastoplastic 1d">
-              </div>
-              <div class="title">Figure 10. Elastoplastic behaviour in one dimension.</div>
-            </div>
-            <div class="paragraph">
-              <p>In three dimensions, an elastoplastic material is characterised by a yield surface, which is the
-                boundary of the elastic region. The yield surface is defined in stress space (or equivalently in strain
-                space).
-                For isotropic materials, the yield surface is most easily defined in the space of the
-                three principal stresses. Stresses lying inside the yield surface are associated with
-                an elastic state. When the stress reaches the yield surface, the material yields, and
-                further increases in strain result in the stress state moving along the yield surface.
-                Many different shapes of yield surface are possible, and are characteristic of
-                different kinds of materials. Yield surfaces are conveniently defined mathematically by a yield function
-                <em>f</em>, such that the yield surface is the locus of points for which <em>f</em> = 0. A complete
-                explanation of elastoplastic behaviour in
-                three dimensions is not given here. We recommend that you consult a good mechanics of
-                materials textbook.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>To specify an elastoplastic material, it is necessary both to specify its elastic
-                properties, and its plasticity. Currently Faim only allows plasticity to be defined with
-                isotropic elastic properties. A typical specification of an elastoplastic model using
-                <code>n88modelgenerator</code> will look something like this
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88modelgenerator --youngs_modulus=6829 --poissons_ratio=0.3 --plasticity=vonmises,50 mydata.aim</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>The currently supported plastic yield criteria are described below.</p>
-            </div>
-            <div id="von_mises_material" class="paragraph">
-              <div class="title">von Mises yield criterion</div>
-              <p>
-
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>The von Mises yield criterion states that yielding begins when the distortional strain-energy density
-                attains a certain limit. It is therefore also called the
-                <em>distortional energy density</em> criterion. The distortional strain-energy density
-                is the difference between the total strain energy density and the strain energy
-                density arising only from the part of the strain resulting in a volume change.
-                Hence, the distortional strain-energy density is associated with that part of the
-                strain that results in no volume change: or, in other words, the part of the strain
-                that causes a change in shape.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>The yield function for a von Mises material, in terms of the three components of the
-                principal stress, is given by</p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                f = \frac{1}{6} \left [ ( \sigma_1 - \sigma_2 )^2 + ( \sigma_2 - \sigma_3 )^2 + ( \sigma_3 - \sigma_1
-                )^2 \right ] - \frac{1}{3} Y^2
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>The parameter <em>Y</em> is the yield strength in uniaxial tension (or compression).</p>
-            </div>
-            <div class="paragraph">
-              <p>To specify a von Mises material in <code>n88modelgenerator</code>, use the parameter
-                <a href="#n88modelgenerator_plasticity">plasticity</a>. For example,
-                <code>--plasticity=vonmises,68</code> will define a von Mises material with <em>Y</em> = 68.
-                The units of <em>Y</em> are the same as stress, so typically MPa.
-              </p>
-            </div>
-            <div id="mohr_coulomb_material" class="paragraph">
-              <div class="title">Mohr-Coulomb yield criterion</div>
-              <p>
-
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>The Mohr-Coulomb yield criterion is a refinement of the Tresca yield condition, which
-                states that yielding begins when the shear stress at a point exceeds some limit. To
-                this, the Mohr-Coulomb criterion adds a dependence on the hydrostatic stress, such that
-                the shear stress limit is dependent on the hydrostatic stress, in particular that the
-                shear stress limit increases with hydrostatic stress. The Mohr-Coulomb yield criterion
-                is characterised by two values: the cohesion <em>c</em> and the angle of internal friction
-                <em>&#966;</em>. For principal stresses in the order &#963;<sub>1</sub> &gt; &#963;<sub>2</sub> &gt;
-                &#963;<sub>3</sub>, the Mohr-Coulomb yield function is
-              </p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                f = \sigma_1 - \sigma_3 + ( \sigma_1 + \sigma_3 ) \, \mathrm{sin} \, \phi - 2 \, c \: \mathrm{cos} \,
-                \phi
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Under uniaxial tension, the yield strength is</p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                Y_T = \frac { 2 \, c \: \mathrm{cos}} {1 + \mathrm{sin} \, \phi}
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>while under uniaxial compression, the yield strength is</p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                Y_C = \frac { 2 \, c \: \mathrm{cos}} {1 - \mathrm{sin} \, \phi}
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Mohr-Coulomb materials are specified to <code>n88modelgenerator</code> using these two
-                yield strengths. See <a href="#n88modelgenerator_plasticity">plasticity</a>. For example,
-                <code>--plasticity=mohrcoulomb,40,80</code> will define a Mohr-Coulomb material with
-                <em>Y<sub>T</sub></em> = 40
-                and <em>Y<sub>C</sub></em> = 80. The units of <em>Y<sub>T</sub></em> and <em>Y<sub>C</sub></em> are the
-                same as stress, so typically MPa.
-              </p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_material_table_generation">2.5.3. Material table generation</h4>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="paragraph">
-              <p>The parameter <a href="#n88modelgenerator_material_table">material_table</a> allows
-                one of two standard types of material table may be
-                chosen: a simple table, consisting of a single material definition, or a Homminga
-                material table, which relates density to stiffness.</p>
-            </div>
-            <div class="paragraph">
-              <p>If you require a material table different than either of the standard ones
-                offered, you can use a
-                <a href="#material_definitions_file">material definitions file</a>. See below for details.
-              </p>
-            </div>
-            <div id="homogeneous_material_table" class="paragraph">
-              <div class="title">Homogeneous material table</div>
-              <p></p>
-            </div>
-            <div class="paragraph">
-              <p>The simplest material table consists of a single material definition. Thus
-                it corresponds to homogeneous material properties: all elements are assigned
-                the same material properties.</p>
-            </div>
-            <div class="paragraph">
-              <p>Note that although only a single material definition is created, it is nevertheless
-                still possible for the material table to have multiple entries corresponding to
-                multiple material IDs. In this case every material ID in the table maps of course to
-                the same single material definition. <code>n88modelgenerator</code> automates this: it examines
-                the segmented input image, and generates one entry in the material table for every
-                unique material ID (<em>i.e.</em> image value) present in the segmented image. Clearly, as a
-                matter of efficiency and simplicity, if you intend to use an image for analysis with
-                homogenous material properties, it is preferable to segment the image object to a
-                single material ID. It is not however, necessary to do so.</p>
-            </div>
-            <div id="homminga_material_table" class="paragraph">
-              <div class="title">Homminga material table</div>
-              <p>
-              </p>
-            </div>
-            <div class="paragraph">
-              <p><a href="#homminga2001">Homminga (2011)</a> introduced a model that attempts to account
-                for varying bone strength with density. In this model, the
-                modulii vary according to the equation</p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                E = E_{max} (\rho/\rho_{max})^{1.7}
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Where &#961; is the CT image density. For the orthotropic case, the shear
-                modulii follow the same scaling, and for the anisotropic case, the stress-strain
-                matrix follows this scaling.</p>
-            </div>
-            <div class="paragraph">
-              <p>To use this type of material table, the data must be segmented such that the
-                material ID of each voxel is proportional to its CT image density. As material
-                IDs are discrete, the CT image density is therefore binned. Hence</p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                E = E_{max} (ID/ID_{max})^{1.7}
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p><em>ID<sub>max</sub></em> is set with the parameter <a
-                  href="#n88modelgenerator_homminga_maximum_material_id">homminga_maximum_material_id</a>, and the
-                exponent is set with the parameter
-                <a href="#n88modelgenerator_homminga_modulus_exponent">homminga_modulus_exponent</a>.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p><em>E<sub>max</sub></em> will depend on the specified material. For an isotropic material, it will be
-                given by <a href="#n88modelgenerator_youngs_modulus">youngs_modulus</a>.
-                However orthotropic or anisotropic materials may also be scaled: the entire stress-strain
-                matrix scales according to the above-stated law.</p>
-            </div>
-            <div class="admonitionblock warning">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/warning.png" alt="Warning">
-                  </td>
-                  <td class="content">
-                    In contrast to the homogenous material table, a Homminga material table is not
-                    guaranteed <em>a priori</em> to have an entry for every material ID present in the input
-                    segmented image. If your segmented image has material IDs larger than the specified
-                    <em>ID<sub>max</sub></em> , <code>n88modelgenerator</code> will produce an error.
-                  </td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="material_definitions_file">2.5.4. Material definitions file</h4>
-            <div class="paragraph">
-              <p>
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>The method presented up to this point for defining materials in
-                <code>n88modelgenerator</code>, while relatively easy, suffers from some limitations.
-                In particular, only a single material can be specified using the
-                options discussed so far. Furthermore, an anisotropic material can not
-                be specified at all using the command line parameters. <code>n88modelgenerator</code>
-                therefore provides an alternate method of defining materials, which is via
-                a material definitions file. A material definitions file can be used to
-                define any material known to <code>Faim</code>, any number of materials, and
-                any material table. A material definitions file can be specified with
-                the argument <a href="#n88modelgenerator_material_definitions">material_definitions</a>.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>The material definitions file format is straight-forward, as you can see from
-                this example.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>MaterialDefinitions:
+</div>
+</div>
+<div class="paragraph">
+<p>For more information on scripting, refer to <a href="#vtkbone">Preparing Finite Element Models With vtkbone</a>.</p>
+</div>
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect2">
+<h3 id="test_orientation">2.2. Test orientation</h3>
+<div class="paragraph">
+<p>
+
+
+
+
+
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>To allow for flexibility in defining the orientation of applied tests, two
+coordinate frames are defined:</p>
+</div>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">Data Frame</dt>
+<dd>
+<p>The Data Frame is the coordinate frame of the data. The input and output
+data use the same coordinate system.</p>
+</dd>
+<dt class="hdlist1">Test Frame</dt>
+<dd>
+<p>The Test Frame is the coordinate frame in which the test boundary conditions
+are applied. Tests are defined with a constant orientation in the Test
+Frame.</p>
+</dd>
+</dl>
+</div>
+<div class="paragraph">
+<p>The relationship between the Test Frame and the Data Frame is set by the value
+of the parameter <a href="#n88modelgenerator_test_axis">test_axis</a> according to the following
+figure. In the figure, the red-colored axis is the test axis. What this
+implies exactly depends on the kind of test that is being applied. For
+example, for a compression test, the direction of compression is along the test
+axis. The test axis is always the <em>z</em> axis in the Test Frame, and always equal
+to value of the parameter <a href="#n88modelgenerator_test_axis">test_axis</a> in the Data Frame. The
+default value for <code>test_axis</code> is <em>z</em> ; for this case the Test Frame and the
+Data Frame coincide, as shown.</p>
+</div>
+<div id="coord_frames" class="imageblock">
+<div class="content">
+<img src="images/coord_frames.png" alt="coord frames">
+</div>
+<div class="title">Figure 4. Coordinate frames Test Frame and Data Frame as set by the option test_axis.</div>
+</div>
+<div class="paragraph">
+<p>In the test descriptions, references to &#8220;Top&#8221; refer to the maximum <em>z</em> surface
+in the Test Frame; References to &#8220;Bottom&#8221; refer to the minimum <em>z</em> surface in
+the Test Frame. Likewise &#8220;Sides&#8221; refers to the surfaces normal to the <em>x</em> and <em>y</em> axes in the
+Test Frame.</p>
+</div>
+<div class="paragraph">
+<p>The Test Frame is used only for the specification of tests (<em>i.e.</em> a specific configuration of boundary
+conditions and applied loads) within <a href="#n88modelgenerator">n88modelgenerator</a> and <code>vtkbone</code>. When the
+model is written to disk as an <code>n88model</code> file, it is encoded
+with reference to the original Data Frame. As a consequence
+post-processing and visualization are in the original Data Frame.</p>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+In terms of rotations, for a setting of test axis = <em>x</em>, the
+transformation from the Test Frame to the Data Frame is a rotation of -90º
+about the <em>x</em> axis, followed by a -90º rotation about the <em>z'</em> axis. For a
+setting of test axis = <em>y</em>, the transformation from the Test Frame to the Data
+Frame is a rotation of 90º about the y axis, followed by a 90º rotation about
+the <em>z'</em> axis. These transformation sequences are of course not unique. For
+most applications, it is not necessary to know these transformations; it
+should be sufficient to refer to <a href="#coord_frames">Figure 4</a>.
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect2">
+<h3 id="standard_tests">2.3. Standard tests</h3>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="admonitionblock important">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/important.png" alt="Important">
+</td>
+<td class="content">
+Axis directions in the following test descriptions are in the Test Frame.
+All the standard tests can be applied along any axis of the data by specifying
+<a href="#n88modelgenerator_test_axis">test_axis</a>, as described in the previous section.
+</td>
+</tr>
+</table>
+</div>
+<div class="sect3">
+<h4 id="uniaxial_test">2.3.1. Uniaxial test</h4>
+<div class="paragraph">
+<p>
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>A uniaxial test is a compression (or tension) test with a fixed displacement
+or force applied along the z axis. Two boundary conditions are applied:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>Nodes on the bottom surface are fixed in the <em>z</em> direction, but free in the <em>x</em> and <em>y</em> directions.</p>
+</li>
+<li>
+<p>Nodes on the top surface are subject to a fixed displacement in the
+<em>z</em> direction. No constraints are applied to the <em>x</em> and <em>y</em> directions.</p>
+</li>
+</ol>
+</div>
+<div class="paragraph">
+<p>A uniaxial test is shown in <a href="#compression_tests_figure">Figure 5</a>, along with other
+types of compression tests. The coordinate system shown in the figure
+is the Test Frame. A uniaxial test is distinguished from an axial test (described below) by the fact that nodes on
+the top and bottom surfaces are unconstrained laterally. This corresponds to zero contact friction.</p>
+</div>
+<div class="paragraph">
+<p>The amount of displacement applied to the top surface can be specified
+by either the <a href="#n88modelgenerator_normal_strain">normal_strain</a> or
+<a href="#n88modelgenerator_displacement">displacement</a> parameters.</p>
+</div>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="admonitionblock important">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/important.png" alt="Important">
+</td>
+<td class="content">
+Uniaxial models are under-constrained since, as defined, arbitrary lateral
+motion, and arbitrary rotation about the <em>z</em> axis of the entire model are
+permitted. This results in a singular system of equations.
+A "pin" may be added to prevent these motions. See <a href="#n88modelgenerator_pin">pin parameter</a>.
+However, Faim will find a (non-unique) solution even without a pin, and in
+fact typically does so faster in the absence of a pin. A pin should always
+be added if you want to use an algebraic solver, or if you intend to compare
+the absolute positions of multiple solved models. Alternatively, you can register
+the solved models before comparing absolute positions.
+</td>
+</tr>
+</table>
+</div>
+<div id="compression_tests_figure" class="imageblock">
+<div class="content">
+<img src="images/compression_tests.png" alt="compression tests">
+</div>
+<div class="title">Figure 5. Compression tests.</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="axial_test">2.3.2. Axial test</h4>
+<div class="paragraph">
+<p>
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>An axial test is similar to a uniaxial test, with the additional constraint
+that nodes on the top and bottom surfaces are also laterally fixed
+(<em>i.e.</em> no movement of these nodes is permitted in the x-y directions). This
+corresponds to 100% contact friction.</p>
+</div>
+<div class="paragraph">
+<p>An axial test is shown in <a href="#compression_tests_figure">Figure 5</a>.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="confined_test">2.3.3. Confined test</h4>
+<div class="paragraph">
+<p>
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>A confined test is similar to an axial test, with the addition that nodes on
+the side surfaces of the image volume are constrained laterally (i.e. no
+movement of these nodes is permitted in the x-y directions).</p>
+</div>
+<div class="paragraph">
+<p>A confined test is shown in <a href="#compression_tests_figure">Figure 5</a>.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="symshear_test">2.3.4. Symmetric shear test (symshear)</h4>
+<div class="paragraph">
+<p>
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>In a symmetric shear test, the side surfaces are angularly displaced to
+correspond to a given shear strain. This is shown in <a href="#symshear_test_figure">Figure 6</a>. The only parameter of relevance to a symmetric shear
+test is <a href="#n88modelgenerator_shear_strain">shear_strain</a>.</p>
+</div>
+<div id="symshear_test_figure" class="imageblock">
+<div class="content">
+<img src="images/symshear_test.png" alt="symshear test">
+</div>
+<div class="title">Figure 6. symshear test. The side faces (shaded) are displaced as shown.</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="dshear_test">2.3.5. Directional shear test (dshear)</h4>
+<div class="paragraph">
+<p>
+
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>In a directional shear test, the top surface is displaced laterally, as shown in
+<a href="#dshear_test_figure">Figure 7</a>. The direction and degree of displacement are
+set by the parameter <a href="#n88modelgenerator_shear_vector">shear_vector</a>,
+which gives the <em>x</em>,<em>y</em> shear displacement in the Test Frame.
+Typically <code>shear_vector</code> is unitless, and the actual displacement
+is the shear vector scaled by the vertical height of the model (<em>i.e.</em>
+the image extent in the z direction in the Test Frame).
+If however <a href="#n88modelgenerator_scale_shear_to_height">scale_shear_to_height</a>
+is set to <code>off</code>, then <code>shear_vector</code> is taken to have absolute units of
+length.</p>
+</div>
+<div id="dshear_test_figure" class="imageblock">
+<div class="content">
+<img src="images/dshear_test.png" alt="dshear test">
+</div>
+<div class="title">Figure 7. dshear test. The upper shaded area represents the rigidly translated boundary surface defined by the shear vector (blue).</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="bending_test">2.3.6. Bending test</h4>
+<div class="paragraph">
+<p>
+
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>In a bending test, the top and bottom surfaces are rotated in opposite
+directions, as shown in <a href="#bending_test_figure">Figure 8</a>. The rotation axes are defined by
+a neutral axis, given by a point in the <em>x</em>,<em>y</em> plane (shown as <code>C</code>) and an
+angle in the <em>x</em>,<em>y</em> plane. (The coordinate system shown in
+the figure is the Test Frame.)  The neutral axis, projected onto the top and
+bottom surfaces, is indicated in
+blue in <a href="#bending_test_figure">Figure 8</a>.
+The point and angle defining the neutral axis can be set in
+n88modelgenerator with the parameters
+<a href="#n88modelgenerator_central_axis">central_axis</a> and
+<a href="#n88modelgenerator_neutral_axis_angle">neutral_axis_angle</a> respectively.
+The central axis (point <code>C</code>) can be specified as a numerical <em>x</em>,<em>y</em> pair, or as the
+center of mass or the center of the data bounds; center of mass is the default setting.
+The default angle of the neutral axis is 90º, parallel to the <em>y</em>-axis.
+The amount of rotation can be specified with the parameter <a href="#n88modelgenerator_bending_angle">bending_angle</a>. The top and the bottom
+surfaces are each rotated by half of this value. Positive rotation is defined as in <a href="#bending_test_figure">Figure 8</a>.</p>
+</div>
+<div class="paragraph">
+<p>In a bending test, the top and bottom surfaces are laterally constrained; no x,y motion of the nodes on these surfaces is permitted.</p>
+</div>
+<div id="bending_test_figure" class="imageblock">
+<div class="content">
+<img src="images/bending_test.png" alt="bending test">
+</div>
+<div class="title">Figure 8. Bending test. The shaded areas represent the rigidly rotated boundary surfaces about the neutral axes (in blue). The neutral axes are defined by the central axis (C-C') and an angle in the x-y plane.</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="torsion_test">2.3.7. Torsion test</h4>
+<div class="paragraph">
+<p>
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>In a torsion test, the top surface is rotated about the center axis, as shown
+in <a href="#torsion_test_figure">Figure 9</a>. The angle of rotation is given by
+<a href="#n88modelgenerator_twist_angle">twist_angle</a>. In the figure positive
+rotation is shown. The central axis lies parallel to the <em>z</em> axis in the test
+frame; its position can be specified with the parameter
+<a href="#n88modelgenerator_central_axis">central_axis</a>. The default position of
+the central axis is passing through the center of mass.</p>
+</div>
+<div id="torsion_test_figure" class="imageblock">
+<div class="content">
+<img src="images/torsion_test.png" alt="torsion test">
+</div>
+<div class="title">Figure 9. torsion test. The upper shaded area represents the rotated boundary surface about the central axis (C-C').</div>
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="uneven_surfaces">2.4. Uneven surfaces</h3>
+<div class="paragraph">
+<p>
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>The grey planes in <a href="#compression_tests_figure">Figure 5</a> represent the
+top and bottom boundary surfaces of the image volume. The
+actual surface to which boundary conditions are applied is by default that
+part of your object which passes through these boundaries.
+If your object does not intersect with the top and bottom
+boundaries of the image volume, then no boundary conditions can be applied
+using this method.</p>
+</div>
+<div class="paragraph">
+<p>An alternative is to make use of the parameters <a href="#n88modelgenerator_top_surface">top_surface</a> and
+<a href="#n88modelgenerator_bottom_surface">bottom_surface</a>. The
+&#8220;uneven surface&#8221; near a boundary is defined as the
+surface visible from that boundary (viewed from an infinite distance).
+Visibility is evaluated using ray tracing. Thus for a porous material
+such as bone the &#8220;uneven surface&#8221; consists of nodes on the top
+visible surface, not including nodes on surfaces down inside the pores.</p>
+</div>
+<div class="paragraph">
+<p>The <code>visible</code> setting can be used for any type of test except <a href="#symshear_test">symshear</a>. For example, if used with a
+<a href="#bending_test">bending test</a>, the boundary conditions are no longer exactly tilted planes as shown
+in figure <a href="#bending_test_figure">Figure 8</a>; the displacement of each node on the visible surfaces is still
+calculated as described from its <em>x</em>,<em>y</em> coordinates, but the displaced nodes
+no longer lie all on a plane (because the initial positions are not on a plane.)</p>
+</div>
+<div class="paragraph">
+<p>Because the visibility test may find some surfaces far from the boundary
+in question, it should usually be used together with the parameters
+<a href="#n88modelgenerator_bottom_surface_maximum_depth">bottom_surface_maximum_depth</a>
+and/or
+<a href="#n88modelgenerator_top_surface_maximum_depth">top_surface_maximum_depth</a>.
+These provide a limit, as a distance from the boundary, for the search for the
+uneven surface.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="material_specification">2.5. Material specification</h3>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>Material specification consists of two parts:</p>
+</div>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">Material Definition creation</dt>
+<dd>
+<p>One or more material definitions are created. A material definition is a
+mathematical description of material mechanical properties. It has a
+definite type (<em>e.g.</em> linear isotropic or linear orthotropic) and specific numerical
+values relevant to that type (<em>e.g.</em> a linear isotropic material definition will have
+particular values of Young&#8217;s modulus and Poisson&#8217;s ratio).</p>
+</dd>
+<dt class="hdlist1">Material Table generation</dt>
+<dd>
+<p>The material table maps material IDs, as assigned during segmentation, to
+material definitions. It is possible to combine different types of materials
+(<em>e.g.</em> isotropic and orthotropic) in the same material table. A single
+material definition can be assigned to multiple material IDs.</p>
+</dd>
+</dl>
+</div>
+<div class="paragraph">
+<p>In Numerics88, material definitions are indexed by name. This is not usually
+evident in
+<code>n88modelgenerator</code>, as for basic usage, the names are generated automatically,
+and are not needed by the user. However for advanced material specification,
+this becomes important, as we will see below when material definition
+files are discussed.</p>
+</div>
+<div class="sect3">
+<h4 id="elastic_material_properties">2.5.1. Elastic material properties</h4>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>Linear elastic materials obey Hooke&#8217;s Law,</p>
+</div>
+<div class="paragraph">
+<p>
+
+
+
+
+
+</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+\begin{bmatrix} \varepsilon_{xx} \\ \varepsilon_{yy} \\ \varepsilon_{zz} \\ \gamma_{yz} \\ \gamma_{zx} \\ \gamma_{xy} \end{bmatrix} = \mathbf{S} \begin{bmatrix} \sigma_{xx} \\ \sigma_{yy} \\ \sigma_{zz} \\ \sigma_{yz} \\ \sigma_{zx} \\ \sigma_{xy}\end{bmatrix}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>where &#949;<sub>xx</sub>,&#949;<sub>yy</sub>,&#949;<sub>zz</sub> are the
+<em>engineering normal strains</em>
+along the axis directions,
+&#947;<sub>yz</sub>,&#947;<sub>zx</sub>,&#947;<sub>xy</sub>
+are the <em>engineering shear strains</em>, and &#963;<sub>ij</sub> are the corresponding
+stresses. <strong>S</strong> is the compliance matrix. The inverse of <strong>S</strong> gives <strong>&#963;</strong>
+in terms of <strong>&#949;</strong>, and is the stress-strain
+matrix <strong>C</strong>, also sometimes called the stiffness matrix.</p>
+</div>
+<div id="isotropic_material" class="paragraph">
+<div class="title">Isotropic materials</div>
+<p>
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>An isotropic material has the same mechanical properties in every direction.
+Elastic isotropic materials are characterized by only two independent parameters:
+Young&#8217;s modulus (<em>E</em>) and Poisson&#8217;s ratio (<em>&#957;</em>). The compliance matrix is</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+\mathbf{S} = \frac{1}{E} \begin{bmatrix} 1 &amp; -\nu &amp; -\nu &amp; 0 &amp; 0 &amp; 0 \\  -\nu &amp; 1 &amp; -\nu &amp; 0 &amp; 0 &amp; 0 \\ -\nu &amp; -\nu &amp; 1 &amp; 0 &amp; 0 &amp; 0 \\ 0 &amp; 0 &amp; 0 &amp; 2(1-\nu) &amp; 0 &amp; 0 \\ 0 &amp; 0 &amp; 0 &amp; 0 &amp; 2(1-\nu) &amp; 0 \\ 0 &amp; 0 &amp; 0 &amp; 0 &amp; 0 &amp; 2(1-\nu) \end{bmatrix}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>For <a href="#n88modelgenerator">n88modelgenerator</a>
+the isotropic elastic parameters are set with
+<a href="#n88modelgenerator_youngs_modulus">youngs_modulus</a> and
+<a href="#n88modelgenerator_poissons_ratio">poissons_ratio</a>.
+The default values are 6829 MPa and 0.3, as reported by <a href="#macneil2008">MacNeil and Boyd (2008)</a>.</p>
+</div>
+<div class="paragraph">
+<p>An isotropic material definition is the default, and will be assumed if
+no other material type is specified.</p>
+</div>
+<div id="orthotropic_material" class="paragraph">
+<div class="title">Orthotropic materials</div>
+<p>
+
+</p>
+</div>
+<div class="paragraph">
+<p>Orthotropic elastic materials have two or three mutually orthogonal twofold
+axes of symmetry. The compliance matrix is</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+\mathbf{S} = \begin{bmatrix} 1/E_x &amp; -\nu_{yx}/E_y &amp; -\nu_{zx}/E_z &amp; 0 &amp; 0 &amp; 0 \\  -\nu_{xy}/E_x &amp; 1/E_y &amp; -\nu_{zy}/E_z &amp; 0 &amp; 0 &amp; 0 \\ -\nu_{xz}/E_x &amp; -\nu_{yz}/E_y &amp; 1/E_z &amp; 0 &amp; 0 &amp; 0 \\ 0 &amp; 0 &amp; 0 &amp; 1/G_{yz} &amp; 0 &amp; 0 \\ 0 &amp; 0 &amp; 0 &amp; 0 &amp; 1/G_{zx} &amp; 0 \\ 0 &amp; 0 &amp; 0 &amp; 0 &amp; 0 &amp; 1/G_{xy} \end{bmatrix}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>where</p>
+</div>
+<div class="hdlist">
+<table>
+<tr>
+<td class="hdlist1">
+<em>E<sub>i</sub></em> 
+</td>
+<td class="hdlist2">
+<p>is the Young&#8217;s modulus along axis <em>i</em> ,</p>
+</td>
+</tr>
+<tr>
+<td class="hdlist1">
+<em>&#957;<sub>ij</sub></em> 
+</td>
+<td class="hdlist2">
+<p>is the Poisson&#8217;s ratio that corresponds to a contraction in direction <em>j</em> when an extension is applied in direction <em>i</em> ,</p>
+</td>
+</tr>
+<tr>
+<td class="hdlist1">
+<em>G<sub>ij</sub></em> 
+</td>
+<td class="hdlist2">
+<p>is the shear modulus in direction <em>j</em> on the plane whose normal is in direction <em>i</em> . It is also called the modulus of rigidity.</p>
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Note that the <em>&#957;<sub>ij</sub></em> are not all independent. The compliance matrix
+must be symmetric, hence</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+\begin{aligned} -\nu_{yx}/E_y &amp;= -\nu_{xy}/E_x ~ , \\ -\nu_{zy}/E_z &amp;= -\nu_{yz}/E_y ~ , \\ -\nu_{xz}/E_x &amp;= -\nu_{zx}/E_z ~ . \end{aligned}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>Therefore only 9 independent parameters are required to fully specify an
+orthotropic material.</p>
+</div>
+<div class="paragraph">
+<p>For <a href="#n88modelgenerator">n88modelgenerator</a> the orthotropic elastic parameters are set
+with <a href="#n88modelgenerator_orthotropic_parameters">orthotropic_parameters</a>. Whenever this
+parameter is specified, an orthotropic material definition will be used.</p>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+An orthotropic material defined with a compliance matrix as given above
+necessarily has its axes of symmetry aligned with the coordinate axes. In contrast, an
+orthotropic material which is rotated relative to the coordinate axes has a more
+general form of compliance matrix. In Numerics88 software, such a non-aligned orthotropic
+material must be specified as an anisotropic material. A rotation matrix relates
+elements of the anisotropic compliance matrix to the orthotropic compliance matrix. If
+you want the mathematical details, please contact us!
+</td>
+</tr>
+</table>
+</div>
+<div id="anisotropic_material" class="paragraph">
+<div class="title">Anisotropic material</div>
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>The most general form of an elastic material is anisotropic, for which
+we allow the stress-strain matrix, or the compliance matrix, to have arbitrary values.
+The stress-strain matrix is symmetric, therefore an anisotropic material requires
+21 parameters to define.
+To define an anisotropic material with <code>n88modelgenerator</code>, it
+is necessary to use a
+<a href="#material_definitions_file">material definitions file</a>. See below.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="plasticity">2.5.2. Plasticity</h4>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>Elastoplastic material behaviour is an idealisation of a particular kind of nonlinear
+stress-strain relationship in which we divide the stress-strain relationship into two
+clearly distinguished regions: (1) an elastic region, which is identical to the
+linear elastic material behaviour described above, and, (2) a purely plastic region. For a
+material subject to a uniaxial deformation, this is sketched in
+<a href="#elastoplastic_1d_figure">Figure 10</a>. In <a href="#elastoplastic_1d_figure">Figure 10</a>A, we see the initial
+elastic region, which in this sketch is tensile, with slope equal to the Young&#8217;s
+modulus. This region continues until the stress reaches the yield strength, <em>Y</em>. For
+further increases in strain beyond this point, the stress ceases to increase, and
+remains constant at the yield strength. The incremental strain in this region is
+referred to as the plastic strain. Although we must perform work to produce a plastic
+strain, the plastic strain is irreversible, as can be seen in
+<a href="#elastoplastic_1d_figure">Figure 10</a>B. In B, after applying a large plastic strain, the strain
+is gradually reduced. The plastic strain component is unchanged during the relaxation;
+instead, it is the elastic component of the strain that is reduced. As the stress
+depends entirely on the elastic component of the strain, the stress also immediately
+begins to decrease. Hence, we do not travel back along the &#8220;outward&#8221; path, but
+instead return along a shifted version of the linear elastic region: the material
+exhibits <em>hysteresis</em>. Although the initial point and the final point of
+<a href="#elastoplastic_1d_figure">Figure 10</a>B are both characterised by zero strain, the state is quite
+different, as the latter state has a large plastic strain. If we continue to reduce the
+strain, as in <a href="#elastoplastic_1d_figure">Figure 10</a>C, the stress becomes negative - a compressive
+stress - until, once again, we reach the yield strength limit. Note that the yield
+strength in tension and the yield strength in compression are not necessarily equal.</p>
+</div>
+<div id="elastoplastic_1d_figure" class="imageblock">
+<div class="content">
+<img src="images/elastoplastic_1d.png" alt="elastoplastic 1d">
+</div>
+<div class="title">Figure 10. Elastoplastic behaviour in one dimension.</div>
+</div>
+<div class="paragraph">
+<p>In three dimensions, an elastoplastic material is characterised by a yield surface, which is the boundary of the elastic region. The yield surface is defined in stress space (or equivalently in strain space).
+For isotropic materials, the yield surface is most easily defined in the space of the
+three principal stresses. Stresses lying inside the yield surface are associated with
+an elastic state. When the stress reaches the yield surface, the material yields, and
+further increases in strain result in the stress state moving along the yield surface.
+Many different shapes of yield surface are possible, and are characteristic of
+different kinds of materials. Yield surfaces are conveniently defined mathematically by a yield function <em>f</em>, such that the yield surface is the locus of points for which <em>f</em> = 0. A complete explanation of elastoplastic behaviour in
+three dimensions is not given here. We recommend that you consult a good mechanics of
+materials textbook.</p>
+</div>
+<div class="paragraph">
+<p>To specify an elastoplastic material, it is necessary both to specify its elastic
+properties, and its plasticity. Currently Faim only allows plasticity to be defined with
+isotropic elastic properties. A typical specification of an elastoplastic model using
+<code>n88modelgenerator</code> will look something like this</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelgenerator --youngs_modulus=6829 --poissons_ratio=0.3 --plasticity=vonmises,50 mydata.aim</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>The currently supported plastic yield criteria are described below.</p>
+</div>
+<div id="von_mises_material" class="paragraph">
+<div class="title">von Mises yield criterion</div>
+<p>
+
+</p>
+</div>
+<div class="paragraph">
+<p>The von Mises yield criterion states that yielding begins when the distortional strain-energy density attains a certain limit. It is therefore also called the
+<em>distortional energy density</em> criterion. The distortional strain-energy density
+is the difference between the total strain energy density and the strain energy
+density arising only from the part of the strain resulting in a volume change.
+Hence, the distortional strain-energy density is associated with that part of the
+strain that results in no volume change: or, in other words, the part of the strain
+that causes a change in shape.</p>
+</div>
+<div class="paragraph">
+<p>The yield function for a von Mises material, in terms of the three components of the
+principal stress, is given by</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+f = \frac{1}{6} \left [ ( \sigma_1 - \sigma_2 )^2 + ( \sigma_2 - \sigma_3 )^2 + ( \sigma_3 - \sigma_1 )^2 \right ] - \frac{1}{3} Y^2
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>The parameter <em>Y</em> is the yield strength in uniaxial tension (or compression).</p>
+</div>
+<div class="paragraph">
+<p>To specify a von Mises material in <code>n88modelgenerator</code>, use the parameter
+<a href="#n88modelgenerator_plasticity">plasticity</a>. For example,
+<code>--plasticity=vonmises,68</code> will define a von Mises material with <em>Y</em> = 68.
+The units of <em>Y</em> are the same as stress, so typically MPa.</p>
+</div>
+<div id="mohr_coulomb_material" class="paragraph">
+<div class="title">Mohr-Coulomb yield criterion</div>
+<p>
+
+</p>
+</div>
+<div class="paragraph">
+<p>The Mohr-Coulomb yield criterion is a refinement of the Tresca yield condition, which
+states that yielding begins when the shear stress at a point exceeds some limit. To
+this, the Mohr-Coulomb criterion adds a dependence on the hydrostatic stress, such that
+the shear stress limit is dependent on the hydrostatic stress, in particular that the
+shear stress limit increases with hydrostatic stress. The Mohr-Coulomb yield criterion
+is characterised by two values: the cohesion <em>c</em> and the angle of internal friction
+<em>&#966;</em>. For principal stresses in the order &#963;<sub>1</sub> &gt; &#963;<sub>2</sub> &gt; &#963;<sub>3</sub>, the Mohr-Coulomb yield function is</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+f =  \sigma_1 - \sigma_3 + ( \sigma_1 + \sigma_3 ) \, \mathrm{sin} \, \phi - 2 \, c \: \mathrm{cos} \, \phi
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>Under uniaxial tension, the yield strength is</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+Y_T = \frac { 2 \, c \: \mathrm{cos}} {1 + \mathrm{sin} \, \phi}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>while under uniaxial compression, the yield strength is</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+Y_C = \frac { 2 \, c \: \mathrm{cos}} {1 - \mathrm{sin} \, \phi}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>Mohr-Coulomb materials are specified to <code>n88modelgenerator</code> using these two
+yield strengths. See <a href="#n88modelgenerator_plasticity">plasticity</a>. For example,
+<code>--plasticity=mohrcoulomb,40,80</code> will define a Mohr-Coulomb material with <em>Y<sub>T</sub></em> = 40
+and <em>Y<sub>C</sub></em> = 80. The units of <em>Y<sub>T</sub></em> and <em>Y<sub>C</sub></em> are the same as stress, so typically MPa.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_material_table_generation">2.5.3. Material table generation</h4>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>The parameter <a href="#n88modelgenerator_material_table">material_table</a> allows
+one of two standard types of material table may be
+chosen: a simple table, consisting of a single material definition, or a Homminga
+material table, which relates density to stiffness.</p>
+</div>
+<div class="paragraph">
+<p>If you require a material table different than either of the standard ones
+offered, you can use a
+<a href="#material_definitions_file">material definitions file</a>. See below for details.</p>
+</div>
+<div id="homogeneous_material_table" class="paragraph">
+<div class="title">Homogeneous material table</div>
+<p></p>
+</div>
+<div class="paragraph">
+<p>The simplest material table consists of a single material definition. Thus
+it corresponds to homogeneous material properties: all elements are assigned
+the same material properties.</p>
+</div>
+<div class="paragraph">
+<p>Note that although only a single material definition is created, it is nevertheless
+still possible for the material table to have multiple entries corresponding to
+multiple material IDs. In this case every material ID in the table maps of course to
+the same single material definition. <code>n88modelgenerator</code> automates this: it examines
+the segmented input image, and generates one entry in the material table for every
+unique material ID (<em>i.e.</em> image value) present in the segmented image. Clearly, as a
+matter of efficiency and simplicity, if you intend to use an image for analysis with
+homogenous material properties, it is preferable to segment the image object to a
+single material ID. It is not however, necessary to do so.</p>
+</div>
+<div id="homminga_material_table" class="paragraph">
+<div class="title">Homminga material table</div>
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p><a href="#homminga2001">Homminga (2011)</a> introduced a model that attempts to account
+for varying bone strength with density. In this model, the
+modulii vary according to the equation</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+E = E_{max} (\rho/\rho_{max})^{1.7}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>Where &#961; is the CT image density. For the orthotropic case, the shear
+modulii follow the same scaling, and for the anisotropic case, the stress-strain
+matrix follows this scaling.</p>
+</div>
+<div class="paragraph">
+<p>To use this type of material table, the data must be segmented such that the
+material ID of each voxel is proportional to its CT image density. As material
+IDs are discrete, the CT image density is therefore binned. Hence</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+E = E_{max} (ID/ID_{max})^{1.7}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p><em>ID<sub>max</sub></em> is set with the parameter <a href="#n88modelgenerator_homminga_maximum_material_id">homminga_maximum_material_id</a>, and the exponent is set with the parameter
+<a href="#n88modelgenerator_homminga_modulus_exponent">homminga_modulus_exponent</a>.</p>
+</div>
+<div class="paragraph">
+<p><em>E<sub>max</sub></em> will depend on the specified material. For an isotropic material, it will be
+given by <a href="#n88modelgenerator_youngs_modulus">youngs_modulus</a>.
+However orthotropic or anisotropic materials may also be scaled: the entire stress-strain
+matrix scales according to the above-stated law.</p>
+</div>
+<div class="admonitionblock warning">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/warning.png" alt="Warning">
+</td>
+<td class="content">
+In contrast to the homogenous material table, a Homminga material table is not
+guaranteed <em>a priori</em> to have an entry for every material ID present in the input
+segmented image. If your segmented image has material IDs larger than the specified
+<em>ID<sub>max</sub></em> , <code>n88modelgenerator</code> will produce an error.
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="material_definitions_file">2.5.4. Material definitions file</h4>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>The method presented up to this point for defining materials in
+<code>n88modelgenerator</code>, while relatively easy, suffers from some limitations.
+In particular, only a single material can be specified using the
+options discussed so far. Furthermore, an anisotropic material can not
+be specified at all using the command line parameters. <code>n88modelgenerator</code>
+therefore provides an alternate method of defining materials, which is via
+a material definitions file. A material definitions file can be used to
+define any material known to <code>Faim</code>, any number of materials, and
+any material table. A material definitions file can be specified with
+the argument <a href="#n88modelgenerator_material_definitions">material_definitions</a>.</p>
+</div>
+<div class="paragraph">
+<p>The material definitions file format is straight-forward, as you can see from
+this example.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>MaterialDefinitions:
     CorticalBone:
         Type: LinearIsotropic
         E: 6829
@@ -4375,40 +2212,40 @@ <h4 id="material_definitions_file">2.5.4. Material definitions file</h4>
 MaterialTable:
     100: TrabecularBone
     127: CorticalBone</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Here we have a material definitions file containing two materials,
-                both of which are linear elastic materials, but with different
-                numerical values. Besides defining the materials, we have to specify
-                the material table, which maps materials IDs (ie. the values present in
-                the input image) to the materials we have defined.</p>
-            </div>
-            <div class="admonitionblock note">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/note.png" alt="Note">
-                  </td>
-                  <td class="content">
-                    The indenting in material definitions file is important, as
-                    it indicates how objects are grouped. Indenting must be done with
-                    spaces, and not with tabs. Technically, the material
-                    definitions file is in <a href="http://www.yaml.org/">YAML</a> format.
-                    Thus any valid YAML syntax can be
-                    used. In particular, it is possible to use curly brackets instead
-                    of indenting to indicate nesting, should you so wish.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Here is another example material definitions file, which defines an
-                anisotropic material.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>MaterialDefinitions:
+</div>
+</div>
+<div class="paragraph">
+<p>Here we have a material definitions file containing two materials,
+both of which are linear elastic materials, but with different
+numerical values. Besides defining the materials, we have to specify
+the material table, which maps materials IDs (ie. the values present in
+the input image) to the materials we have defined.</p>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+The indenting in material definitions file is important, as
+it indicates how objects are grouped. Indenting must be done with
+spaces, and not with tabs. Technically, the material
+definitions file is in <a href="http://www.yaml.org/">YAML</a> format.
+Thus any valid YAML syntax can be
+used. In particular, it is possible to use curly brackets instead
+of indenting to indicate nesting, should you so wish.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Here is another example material definitions file, which defines an
+anisotropic material.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>MaterialDefinitions:
     ExampleAnisoMat:
         Type: LinearAnisotropic
         StressStrainMatrix: [
@@ -4421,1187 +2258,962 @@ <h4 id="material_definitions_file">2.5.4. Material definitions file</h4>
 
 MaterialTable:
     1: ExampleAnisoMat</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>The possible materials, and the values that must be specified for
-                each, are listed in the following table.</p>
-            </div>
-            <table class="tableblock frame-topbot grid-all stretch">
-              <caption class="title">Table 1. Materials as specified in a material definitions file</caption>
-              <colgroup>
-                <col style="width: 28%;">
-                <col style="width: 28%;">
-                <col style="width: 44%;">
-              </colgroup>
-              <thead>
-                <tr>
-                  <th class="tableblock halign-left valign-top">Type</th>
-                  <th class="tableblock halign-left valign-top">Variable</th>
-                  <th class="tableblock halign-left valign-top">Description</th>
-                </tr>
-              </thead>
-              <tbody>
-                <tr>
-                  <td class="tableblock halign-left valign-top" rowspan="2">
-                    <p class="tableblock"><strong>LinearIsotropic</strong></p>
-                  </td>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock"><code>E:</code> <em>value</em></p>
-                  </td>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock">Young&#8217;s modulus</p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock"><code>nu:</code> <em>value</em></p>
-                  </td>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock">Poisson&#8217;s ratio</p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-left valign-top" rowspan="3">
-                    <p class="tableblock"><strong>LinearOrthotropic</strong></p>
-                  </td>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock"><code>E:</code> [<em>value</em>,<em>value</em>,<em>value</em>]</p>
-                  </td>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock">Young&#8217;s modulii as [E<sub>xx</sub>,E<sub>yy</sub>,E<sub>zz</sub>]</p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock"><code>nu:</code> [<em>value</em>,<em>value</em>,<em>value</em>]</p>
-                  </td>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock">Poisson&#8217;s ratios as
-                      [&#957;<sub>yz</sub>,&#957;<sub>zx</sub>,&#957;<sub>xy</sub>]</p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock"><code>G:</code> [<em>value</em>,<em>value</em>,<em>value</em>]</p>
-                  </td>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock">Shear modulii as [G<sub>yz</sub>,G<sub>zx</sub>,G<sub>xy</sub>]</p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock"><strong>LinearAnisotropic</strong></p>
-                  </td>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock"><code>StressStrainMatrix:</code>
-                      [<em>value1</em>,<em>value2</em>,&#8230;&#8203;,<em>value36</em>]</p>
-                  </td>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock">The 36 elements of the stress-strain matrix. Since the stress-strain matrix is
-                      symmetric, there are only 21
-                      unique values, but all 36 must be given. They must be specified in the order K<sub>11</sub> ,
-                      K<sub>12</sub> , K<sub>13</sub>, . . . K<sub>66</sub> , but since the
-                      matrix is symmetric, this is equivalent to K<sub>11</sub> , K<sub>21</sub> , K<sub>31</sub>, . . .
-                      K<sub>66</sub>.</p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-left valign-top" rowspan="3">
-                    <p class="tableblock"><strong>VonMisesIsotropic</strong></p>
-                  </td>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock"><code>E:</code> <em>value</em></p>
-                  </td>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock">Young&#8217;s modulus</p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock"><code>nu:</code> <em>value</em></p>
-                  </td>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock">Poisson&#8217;s ratio</p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock"><code>Y:</code> <em>value</em></p>
-                  </td>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock">Yield strength</p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-left valign-top" rowspan="4">
-                    <p class="tableblock"><strong>MohrCoulombIsotropic</strong></p>
-                  </td>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock"><code>E:</code> <em>value</em></p>
-                  </td>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock">Young&#8217;s modulus</p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock"><code>nu:</code> <em>value</em></p>
-                  </td>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock">Poisson&#8217;s ratio</p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock"><code>c:</code> <em>value</em></p>
-                  </td>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock">Mohr Coulomb <em>c</em> parameter (cohesion).</p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock"><code>phi:</code> <em>value</em></p>
-                  </td>
-                  <td class="tableblock halign-left valign-top">
-                    <p class="tableblock">Mohr Coulomb &#966; parameter (friction angle).</p>
-                  </td>
-                </tr>
-              </tbody>
-            </table>
-            <div class="admonitionblock note">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/note.png" alt="Note">
-                  </td>
-                  <td class="content">
-                    Materials are stored in the <code>n88model</code> file using exactly the same
-                    structure and variable names. See the
-                    <a href="#MaterialDefinitions_group">MaterialDefinitions group</a> of
-                    the <code>n88model</code> file specification.
-                  </td>
-                </tr>
-              </table>
-            </div>
-          </div>
-        </div>
-      </div>
-    </div>
-    <div class="sect1">
-      <h2 id="vtkbone">3. Preparing Finite Element Models with vtkbone</h2>
-      <div class="sectionbody">
-        <div class="paragraph">
-          <p></p>
-        </div>
-        <div class="paragraph">
-          <p>You only need to read this chapter if you are interested in
-            writing scripts to create your own custom model types. For many users,
-            <code>n88modelgenerator</code>, as described in the previous chapter, will be sufficient.
-          </p>
-        </div>
-        <div class="paragraph">
-          <p></p>
-        </div>
-        <div class="paragraph">
-          <p>Although <a href="#n88modelgenerator">n88modelgenerator</a> can generate
-            many useful models for FE analysis, at times additional flexibility is
-            required. In order to provide as much flexibility to
-            the user as possible, we provide the option for users to perform custom
-            model generation. This functionality is provided by <code>vtkbone</code> toolkit,
-            which is built on
-            <a href="http://vtk.org">VTK</a> . VTK is "<em>an open-source, freely available software system
-              for 3D computer graphics, image processing and visualization</em>", produced
-            by <a href="http://www.kitware.com">Kitware</a>. VTK provides a great deal of functionality
-            to manipulate and visualize data that is useful for finite
-            element model generation and analysis. <code>vtkbone</code> is a collection of custom VTK
-            classes that extend VTK to add finite element pre-processing functionality.
-            The <code>vtkbone</code> library objects combined with generic VTK objects can be
-            quickly assembled into pipelines to produce nearly infinite customizability
-            for finite element model generation and post-processing analysis.
-          </p>
-        </div>
-        <div class="paragraph">
-          <p>Basing <code>vtkbone</code> on VTK provides the following advantages.</p>
-        </div>
-        <div class="dlist">
-          <dl>
-            <dt class="hdlist1">Large existing library of objects and filters</dt>
-            <dd>
-              <p>VTK is a large and well established system, with many useful algorithms
-                already packaged as VTK objects.</p>
-            </dd>
-            <dt class="hdlist1">Built-in visualization</dt>
-            <dd>
-              <p>VTK was designed for rendering medical data. With it sophisticated
-                visualizations
-                are readily obtained. The visualization application ParaView is built with
-                VTK and provides excellent complex data visualization.
-                <code>vtkbone</code> functionality is easily incorporated into ParaView.
-              </p>
-            </dd>
-            <dt class="hdlist1">Standardization</dt>
-            <dd>
-              <p>The time and effort the user invests in learning <code>vtkbone</code> provides familiarity
-                with the widely-used VTK system, and is not limited in application to
-                Numerics88 software.</p>
-            </dd>
-            <dt class="hdlist1">Extensibility</dt>
-            <dd>
-              <p>The advanced user is able to write their own VTK classes where required.</p>
-            </dd>
-            <dt class="hdlist1">Multiple Language Support</dt>
-            <dd>
-              <p>VTK itself consists of C++ classes, but provides wrapping functionality
-                to generate an interface layer to other languages. <code>vtkbone</code> uses this
-                wrapping functionality to provide a Python interface.</p>
-            </dd>
-          </dl>
-        </div>
-        <div class="paragraph">
-          <p>The best way to learn to use <code>vtkbone</code> is to follow the tutorials
-            in <a href="#tutorials">Tutorials</a>.</p>
-        </div>
-        <div class="paragraph">
-          <p>
-          </p>
-        </div>
-        <div class="paragraph">
-          <p>We recommend that you use Python for assembling programs with <code>vtkbone</code>.
-            There are several advantages of using Python, including simplicity of
-            syntax and automatic memory management. In our experience,
-            writing programs using <code>vtkbone</code> in Python is far less time consuming, and
-            results in programs that are much easier to debug than writing the same
-            programs in C++ . This is particularly true for users without
-            significant programming experience.</p>
-        </div>
-        <div class="admonitionblock tip">
-          <table>
-            <tr>
-              <td class="icon">
-                <img src="./images/icons/tip.png" alt="Tip">
-              </td>
-              <td class="content">
-                Many of the tools provided with Faim are implemented as Python scripts.
-                Some use <code>vtkbone</code>, and some manipulate the <code>n88model</code> file directly through
-                the
-                <a href="http://unidata.github.io/netcdf4-python/">python netCDF4 module</a>, which is
-                installed automatically when you install <code>n88tools</code>. Examining
-                how these scripts work can be a good way to learn how to write your own custom
-                python scripts for manipulating Faim models.
-              </td>
-            </tr>
-          </table>
-        </div>
-        <div class="sect2">
-          <h3 id="api_documentation">3.1. vtkbone API documentation</h3>
-          <div class="paragraph">
-            <p>
-
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The complete Application Programming Interface (API) reference documentation
-              for <code>vtkbone</code> is available at <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/"
-                class="bare">http://numerics88.com/n88/documentation/vtkbone/1.0/</a> .
-              Class names in this document are linked to the <code>vtkbone</code> API documentation, so
-              that if you click on a class name, it should open
-              the documentation for that class. You should refer to the <code>vtkbone</code> API reference
-              documentation whenever using a <code>vtkbone</code> class, as the descriptions below are
-              introductory, and do not exhaustively cover all the functionality.</p>
-          </div>
-          <div class="paragraph">
-            <p>API documentation for VTK can be found at <a href="http://www.vtk.org/doc/release/6.3/html/"
-                class="bare">http://www.vtk.org/doc/release/6.3/html/</a> .
-              Or you can get the latest version at <a href="https://vtk.org.download/"
-                class="bare">https://vtk.org.download/</a> .</p>
-          </div>
-          <div class="admonitionblock note">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/note.png" alt="Note">
-                </td>
-                <td class="content">
-                  If you are using Python instead of C<code> (and for most purposes, we
+</div>
+</div>
+<div class="paragraph">
+<p>The possible materials, and the values that must be specified for
+each, are listed in the following table.</p>
+</div>
+<table class="tableblock frame-ends grid-all stretch">
+<caption class="title">Table 1. Materials as specified in a material definitions file</caption>
+<colgroup>
+<col style="width: 28%;">
+<col style="width: 28%;">
+<col style="width: 44%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Type</th>
+<th class="tableblock halign-left valign-top">Variable</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top" rowspan="2"><p class="tableblock"><strong>LinearIsotropic</strong></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><code>E:</code> <em>value</em></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Young&#8217;s modulus</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><code>nu:</code> <em>value</em></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Poisson&#8217;s ratio</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top" rowspan="3"><p class="tableblock"><strong>LinearOrthotropic</strong></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><code>E:</code> [<em>value</em>,<em>value</em>,<em>value</em>]</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Young&#8217;s modulii as [E<sub>xx</sub>,E<sub>yy</sub>,E<sub>zz</sub>]</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><code>nu:</code> [<em>value</em>,<em>value</em>,<em>value</em>]</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Poisson&#8217;s ratios as [&#957;<sub>yz</sub>,&#957;<sub>zx</sub>,&#957;<sub>xy</sub>]</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><code>G:</code> [<em>value</em>,<em>value</em>,<em>value</em>]</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Shear modulii as [G<sub>yz</sub>,G<sub>zx</sub>,G<sub>xy</sub>]</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><strong>LinearAnisotropic</strong></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><code>StressStrainMatrix:</code> [<em>value1</em>,<em>value2</em>,&#8230;&#8203;,<em>value36</em>]</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The 36 elements of the stress-strain matrix. Since the stress-strain matrix is symmetric, there are only 21
+unique values, but all 36 must be given. They must be specified in the order K<sub>11</sub> , K<sub>12</sub> , K<sub>13</sub>, . . . K<sub>66</sub> , but since the
+matrix is symmetric, this is equivalent to K<sub>11</sub> , K<sub>21</sub> , K<sub>31</sub>, . . . K<sub>66</sub>.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top" rowspan="3"><p class="tableblock"><strong>VonMisesIsotropic</strong></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><code>E:</code> <em>value</em></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Young&#8217;s modulus</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><code>nu:</code> <em>value</em></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Poisson&#8217;s ratio</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><code>Y:</code> <em>value</em></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Yield strength</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top" rowspan="4"><p class="tableblock"><strong>MohrCoulombIsotropic</strong></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><code>E:</code> <em>value</em></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Young&#8217;s modulus</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><code>nu:</code> <em>value</em></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Poisson&#8217;s ratio</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><code>c:</code> <em>value</em></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Mohr Coulomb <em>c</em> parameter (cohesion).</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><code>phi:</code> <em>value</em></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Mohr Coulomb &#966; parameter (friction angle).</p></td>
+</tr>
+</tbody>
+</table>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+Materials are stored in the <code>n88model</code> file using exactly the same
+structure and variable names. See the
+<a href="#MaterialDefinitions_group">MaterialDefinitions group</a> of
+the <code>n88model</code> file specification.
+</td>
+</tr>
+</table>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="sect1">
+<h2 id="vtkbone">3. Preparing Finite Element Models with vtkbone</h2>
+<div class="sectionbody">
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>You only need to read this chapter if you are interested in
+writing scripts to create your own custom model types. For many users,
+<code>n88modelgenerator</code>, as described in the previous chapter, will be sufficient.</p>
+</div>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>Although <a href="#n88modelgenerator">n88modelgenerator</a> can generate
+many useful models for FE analysis, at times additional flexibility is
+required. In order to provide as much flexibility to
+the user as possible, we provide the option for users to perform custom
+model generation. This functionality is provided by <code>vtkbone</code> toolkit,
+which is built on
+<a href="http://vtk.org">VTK</a> . VTK is "<em>an open-source, freely available software system
+for 3D computer graphics, image processing and visualization</em>", produced
+by <a href="http://www.kitware.com">Kitware</a>. VTK provides a great deal of functionality
+to manipulate and visualize data that is useful for finite
+element model generation and analysis. <code>vtkbone</code> is a collection of custom VTK
+classes that extend VTK to add finite element pre-processing functionality.
+The <code>vtkbone</code> library objects combined with generic VTK objects can be
+quickly assembled into pipelines to produce nearly infinite customizability
+for finite element model generation and post-processing analysis.</p>
+</div>
+<div class="paragraph">
+<p>Basing <code>vtkbone</code> on VTK provides the following advantages.</p>
+</div>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">Large existing library of objects and filters</dt>
+<dd>
+<p>VTK is a large and well established system, with many useful algorithms
+already packaged as VTK objects.</p>
+</dd>
+<dt class="hdlist1">Built-in visualization</dt>
+<dd>
+<p>VTK was designed for rendering medical data. With it sophisticated
+visualizations
+are readily obtained. The visualization application ParaView is built with
+VTK and provides excellent complex data visualization.
+<code>vtkbone</code> functionality is easily incorporated into ParaView.</p>
+</dd>
+<dt class="hdlist1">Standardization</dt>
+<dd>
+<p>The time and effort the user invests in learning <code>vtkbone</code> provides familiarity
+with the widely-used VTK system, and is not limited in application to
+Numerics88 software.</p>
+</dd>
+<dt class="hdlist1">Extensibility</dt>
+<dd>
+<p>The advanced user is able to write their own VTK classes where required.</p>
+</dd>
+<dt class="hdlist1">Multiple Language Support</dt>
+<dd>
+<p>VTK itself consists of C++ classes, but provides wrapping functionality
+to generate an interface layer to other languages. <code>vtkbone</code> uses this
+wrapping functionality to provide a Python interface.</p>
+</dd>
+</dl>
+</div>
+<div class="paragraph">
+<p>The best way to learn to use <code>vtkbone</code> is to follow the tutorials
+in <a href="#tutorials">Tutorials</a>.</p>
+</div>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>We recommend that you use Python for assembling programs with <code>vtkbone</code>.
+There are several advantages of using Python, including simplicity of
+syntax and automatic memory management. In our experience,
+writing programs using <code>vtkbone</code> in Python is far less time consuming, and
+results in programs that are much easier to debug than writing the same
+programs in C++ . This is particularly true for users without
+significant programming experience.</p>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+Many of the tools provided with Faim are implemented as Python scripts.
+Some use <code>vtkbone</code>, and some manipulate the <code>n88model</code> file directly through
+the
+<a href="http://unidata.github.io/netcdf4-python/">python netCDF4 module</a>, which is
+installed automatically when you install <code>n88tools</code>. Examining
+how these scripts work can be a good way to learn how to write your own custom
+python scripts for manipulating Faim models.
+</td>
+</tr>
+</table>
+</div>
+<div class="sect2">
+<h3 id="api_documentation">3.1. vtkbone API documentation</h3>
+<div class="paragraph">
+<p>
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>The complete Application Programming Interface (API) reference documentation
+for <code>vtkbone</code> is available at <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/" class="bare">http://numerics88.com/n88/documentation/vtkbone/1.0/</a> .
+Class names in this document are linked to the <code>vtkbone</code> API documentation, so
+that if you click on a class name, it should open
+the documentation for that class. You should refer to the <code>vtkbone</code> API reference
+documentation whenever using a <code>vtkbone</code> class, as the descriptions below are
+introductory, and do not exhaustively cover all the functionality.</p>
+</div>
+<div class="paragraph">
+<p>API documentation for VTK can be found at <a href="http://www.vtk.org/doc/release/6.3/html/" class="bare">http://www.vtk.org/doc/release/6.3/html/</a> .
+Or you can get the latest version at <a href="https://vtk.org.download/" class="bare">https://vtk.org.download/</a> .</p>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+If you are using Python instead of C<code> (and for most purposes, we
 recommend that you do), then you will have to infer the Python interface
 from the C</code> interface. This is generally simple: class and method
-                  names are the same, as are all positional argument names. Since Python is a
-                  weakly-typed language, you do not need to be concerned generally with
-                  the declared type of the arguments. A small number of C++ methods in
-                  <code>vtkbone</code> do not have a Python equivalent, but this is rare.
-                </td>
-              </tr>
-            </table>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_array_indexing_in_vtkbone">3.2. Array indexing in vtkbone</h3>
-          <div class="paragraph">
-            <p>
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>Arrays in <code>vtkbone</code>, as in VTK, C and Python, are zero-indexed. That is, the
-              first element is element 0. This applies also to node numbers and element numbers.
-              (It does not however apply to material IDs, because the material ID is not an
-              array index; it is a key into a table look-up.) Be careful if reading an <code>n88model</code> file
-              directly, because node numbers and element numbers are stored
-              1-indexed (see the <a href="#n88model_file_format">file specification</a>). The translation is done
-              automatically
-              if you use the <code>vtkbone</code> objects <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneN88ModelReader.html">vtkboneN88ModelReader</a>
-              and
-              <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneN88ModelWriter.html">vtkboneN88ModelWriter</a>
-              .
-            </p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_typical_workflow_for_vtkbone">3.3. Typical workflow for vtkbone</h3>
-          <div class="paragraph">
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p><a href="#vtkbone_work_flow">Figure 11</a> shows a typical work flow for creating a
-              finite element model using <code>vtkbone</code>. VTK generally consists of two
-              types of objects (or &#8220;classes&#8221;): objects that contain data, and objects that
-              process data. The latter are called &#8220;filters&#8221;. Filters can be chained
-              together to create a processing pipeline. In the figure, filters are
-              listed in the boxes with dark black lines and rounded corners; data
-              objects are listed in gray rectangles. The boxes with dark black lines and
-              rounded corners represent actions, and may list one or more VTK or
-              <code>vtkbone</code> objects that are suitable for performing the action.
-            </p>
-          </div>
-          <div id="vtkbone_work_flow" class="imageblock">
-            <div class="content">
-              <img src="images/vtkbone_overview.png" alt="vtkbone overview">
-            </div>
-            <div class="title">Figure 11. Typical work flow for vtkbone.</div>
-          </div>
-          <div class="paragraph">
-            <p>The typical way to use a VTK filter object is to create it, set
-              parameters, set the input (if relevant), call <code>Update()</code>, and then get the
-              output. For example, for a <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneAIMReader.html">vtkboneAIMReader</a>
-              object, which has an
-              output but no input, we might do this in Python</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>reader = vtkbone.vtkboneAIMReader()
+names are the same, as are all positional argument names. Since Python is a
+weakly-typed language, you do not need to be concerned generally with
+the declared type of the arguments. A small number of C++ methods in
+<code>vtkbone</code> do not have a Python equivalent, but this is rare.
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_array_indexing_in_vtkbone">3.2. Array indexing in vtkbone</h3>
+<div class="paragraph">
+<p>
+
+</p>
+</div>
+<div class="paragraph">
+<p>Arrays in <code>vtkbone</code>, as in VTK, C and Python, are zero-indexed. That is, the
+first element is element 0. This applies also to node numbers and element numbers.
+(It does not however apply to material IDs, because the material ID is not an
+array index; it is a key into a table look-up.)  Be careful if reading an <code>n88model</code> file directly, because node numbers and element numbers are stored
+1-indexed (see the <a href="#n88model_file_format">file specification</a>). The translation is done automatically
+if you use the <code>vtkbone</code> objects <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneN88ModelReader.html">vtkboneN88ModelReader</a> and
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneN88ModelWriter.html">vtkboneN88ModelWriter</a> .</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_typical_workflow_for_vtkbone">3.3. Typical workflow for vtkbone</h3>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p><a href="#vtkbone_work_flow">Figure 11</a> shows a typical work flow for creating a
+finite element model using <code>vtkbone</code>. VTK generally consists of two
+types of objects (or &#8220;classes&#8221;): objects that contain data, and objects that
+process data. The latter are called &#8220;filters&#8221;. Filters can be chained
+together to create a processing pipeline. In the figure, filters are
+listed in the boxes with dark black lines and rounded corners; data
+objects are listed in gray rectangles. The boxes with dark black lines and
+rounded corners represent actions, and may list one or more VTK or
+<code>vtkbone</code> objects that are suitable for performing the action.</p>
+</div>
+<div id="vtkbone_work_flow" class="imageblock">
+<div class="content">
+<img src="images/vtkbone_overview.png" alt="vtkbone overview">
+</div>
+<div class="title">Figure 11. Typical work flow for vtkbone.</div>
+</div>
+<div class="paragraph">
+<p>The typical way to use a VTK filter object is to create it, set
+parameters, set the input (if relevant), call <code>Update()</code>, and then get the
+output. For example, for a <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneAIMReader.html">vtkboneAIMReader</a> object, which has an
+output but no input, we might do this in Python</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>reader = vtkbone.vtkboneAIMReader()
 reader.SetFileName ("MYFILE.AIM")
 reader.Update()
 image = reader.GetOutput()</pre>
-            </div>
-          </div>
-          <div class="admonitionblock tip">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/tip.png" alt="Tip">
-                </td>
-                <td class="content">
-                  <div class="paragraph">
-                    <p>There is an alternate way to use VTK filter objects, and that is to
-                      chain them together in a pipeline. In this case, calling Update
-                      on the last item in the pipeline will cause an update of all the
-                      items in the pipeline, if required. To connect filters in a
-                      processing pipeline, use <code>SetInputConnection</code> and <code>GetOutputPort</code>
-                      instead of <code>SetInputData</code> and <code>GetOutput</code>. As an example, we can connect
-                      a <a
-                        href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneAIMReader.html">vtkboneAIMReader</a>
-                      to a <a
-                        href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneImageToMesh.html">vtkboneImageToMesh</a>
-                      like this</p>
-                  </div>
-                  <div class="listingblock">
-                    <div class="content">
-                      <pre>reader = vtkbone.vtkboneAIMReader()
+</div>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>There is an alternate way to use VTK filter objects, and that is to
+chain them together in a pipeline. In this case, calling Update
+on the last item in the pipeline will cause an update of all the
+items in the pipeline, if required. To connect filters in a
+processing pipeline, use <code>SetInputConnection</code> and <code>GetOutputPort</code>
+instead of <code>SetInputData</code> and <code>GetOutput</code>. As an example, we can connect
+a <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneAIMReader.html">vtkboneAIMReader</a> to a <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneImageToMesh.html">vtkboneImageToMesh</a> like this</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>reader = vtkbone.vtkboneAIMReader()
 reader.SetFileName ("MYFILE.AIM")
 mesher = vtkbone.vtkboneImageToMesh()
 mesher.SetInputConnection (reader.GetOutputPort())
 mesher.Update() <img src="./images/icons/callouts/1.png" alt="1"></pre>
-                    </div>
-                  </div>
-                  <div class="paragraph">
-                    <p>This automatically calls Update on the reader.
-                      Generally, unless you have some application where the pipeline approach
-                      is advantageous, we recommend the simpler method of using <code>SetInputData</code> and
-                      <code>GetOutput</code> and explicitly passing the data object between filters.
-                    </p>
-                  </div>
-                </td>
-              </tr>
-            </table>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="vtkboneFiniteElementModel">3.4. The vtkboneFiniteElementModel object</h3>
-          <div class="paragraph">
-            <p>
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The central class that <code>vtkbone</code> adds to VTK is a new type of data class, called
-              <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-              . The conceptual structure of <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-              is shown in <a href="#vtkboneFiniteElementModel_structure">Figure 12</a>.
-              <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-              is a subclass of
-              the VTK class <a
-                href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a> ,
-              which represents a data set as consisting of an
-              assortment of geometric shapes. In VTK terminology, these individual shapes
-              are &#8220;Cells&#8221;. They map naturally to the concept of Elements in finite element
-              analysis. The vertices of the cells, in VTK terminology, are &#8220;Points&#8221;. These
-              are equivalent to Nodes in finite element analysis. <a
-                href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a> ,
-              like other VTK
-              objects, is capable of storing specific types of additional information, such
-              as one or more scalar or vector values associated with each Cell or Point.
-              This aspect is used for storing, for example, material IDs, which are mapped
-              to the scalar values of the Cells. To
-              <a href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a> ,
-              <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-              adds some additional
-              information related to requirements for finite element analysis such as material properties and
-              constraints (<em>i.e.</em> displacement boundary conditions and applied loads), as well as
-              sets of Points and/or Cells, which are useful for defining constraints and
-              in post-processing. Sets and constraints are indexed by an assigned name, which is convenient
-              for accessing and modifying them.
-            </p>
-          </div>
-          <div id="vtkboneFiniteElementModel_structure" class="imageblock">
-            <div class="content">
-              <img src="images/vtkboneFiniteElementModel_structure.png" alt="vtkboneFiniteElementModel structure">
-            </div>
-            <div class="title">Figure 12. Structure of vtkboneFiniteElementModel.</div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_reading_a_segmented_image">3.5. Reading a segmented image</h3>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <div class="paragraph">
-            <p>We typically read in data as a segmented 3D volumetric image from
-              micro-CT. The image values (<em>i.e.</em> the pixel or voxel values) need to
-              correspond to the segmented material IDs. The selection of a file reading
-              object will be appropriate to the input file format. The output of the
-              file reader filter will be a <a
-                href="http://www.vtk.org/doc/release/6.3/html/classvtkImageData.html">vtkImageData</a> object.</p>
-          </div>
-          <div class="paragraph">
-            <p>We have already given the example of using a <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneAIMReader.html">vtkboneAIMReader</a>
-              to
-              read a Scanco AIM file, which was</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>reader = vtkbone.vtkboneAIMReader()
+</div>
+</div>
+<div class="paragraph">
+<p>This automatically calls Update on the reader.
+Generally, unless you have some application where the pipeline approach
+is advantageous, we recommend the simpler method of using <code>SetInputData</code> and
+<code>GetOutput</code> and explicitly passing the data object between filters.</p>
+</div>
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect2">
+<h3 id="vtkboneFiniteElementModel">3.4. The vtkboneFiniteElementModel object</h3>
+<div class="paragraph">
+<p>
+
+</p>
+</div>
+<div class="paragraph">
+<p>The central class that <code>vtkbone</code> adds to VTK is a new type of data class, called
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a> . The conceptual structure of <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
+is shown in <a href="#vtkboneFiniteElementModel_structure">Figure 12</a>.
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a> is a subclass of
+the VTK class <a href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a> , which represents a data set as consisting of an
+assortment of geometric shapes. In VTK terminology, these individual shapes
+are &#8220;Cells&#8221;. They map naturally to the concept of Elements in finite element
+analysis. The vertices of the cells, in VTK terminology, are &#8220;Points&#8221;. These
+are equivalent to Nodes in finite element analysis. <a href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a> , like other VTK
+objects, is capable of storing specific types of additional information, such
+as one or more scalar or vector values associated with each Cell or Point.
+This aspect is used for storing, for example, material IDs, which are mapped
+to the scalar values of the Cells. To
+<a href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a> , <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a> adds some additional
+information related to requirements for finite element analysis such as material properties and
+constraints (<em>i.e.</em> displacement boundary conditions and applied loads), as well as
+sets of Points and/or Cells, which are useful for defining constraints and
+in post-processing. Sets and constraints are indexed by an assigned name, which is convenient
+for accessing and modifying them.</p>
+</div>
+<div id="vtkboneFiniteElementModel_structure" class="imageblock">
+<div class="content">
+<img src="images/vtkboneFiniteElementModel_structure.png" alt="vtkboneFiniteElementModel structure">
+</div>
+<div class="title">Figure 12. Structure of vtkboneFiniteElementModel.</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_reading_a_segmented_image">3.5. Reading a segmented image</h3>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>We typically read in data as a segmented 3D volumetric image from
+micro-CT. The image values (<em>i.e.</em> the pixel or voxel values) need to
+correspond to the segmented material IDs. The selection of a file reading
+object will be appropriate to the input file format. The output of the
+file reader filter will be a <a href="http://www.vtk.org/doc/release/6.3/html/classvtkImageData.html">vtkImageData</a> object.</p>
+</div>
+<div class="paragraph">
+<p>We have already given the example of using a <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneAIMReader.html">vtkboneAIMReader</a> to
+read a Scanco AIM file, which was</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>reader = vtkbone.vtkboneAIMReader()
 reader.SetFileName ("MYFILE.AIM")
 reader.Update()
 image = reader.GetOutput()</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>
-            </p>
-          </div>
-          <div class="admonitionblock important">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/important.png" alt="Important">
-                </td>
-                <td class="content">
-                  One slightly obscure technical issue which may arise is: are the data
-                  of a <a href="http://www.vtk.org/doc/release/6.3/html/classvtkImageData.html">vtkImageData</a>
-                  associated with the Points or the Cells? Either is possible in
-                  <code>VTK</code>. The scalar image data (scalar because there is one value per location)
-                  must be explicitly associated either with the Cells or with the Points.
-                  (In fact it&#8217;s possible to have different scalar data on the Cells and the
-                  Points.) Thinking about it as an FE problem, it is natural to associate
-                  the image data with Cells, where each image voxel becomes an FE element. Thus,
-                  we like to think of each value in the image as being at the center of
-                  a Cell in the VTK scheme. VTK however has generally standardized
-                  on the convention of image data being on the Points. There are some important
-                  consequences. For example, a <a
-                    href="http://www.vtk.org/doc/release/6.3/html/classvtkImageData.html">vtkImageData</a> that has
-                  dimensions of
-                  (M,N,P) has (M,N,P) Points, but only (M-1,N-1,P-1) Cells. Or conversely, if you
-                  have data with dimensions of (R,S,T), and you
-                  want to put the data on the Cells, then you actually require a <a
-                    href="http://www.vtk.org/doc/release/6.3/html/classvtkImageData.html">vtkImageData</a>
-                  with dimensions of (R+1,S+1,T+1). Also, if the origin is important, one
-                  needs to keep in mind that the origin is the location of the zero-indexed
-                  Point. In terms of the Cells, this is the &#8220;lower-left&#8221; corner of the
-                  zero-indexed Cell, not the center of that Cell. <code>vtkbone</code> objects that
-                  require images as input will accept input with data either on the points
-                  or on the Cells. However, many <code>VTK</code> objects that process
-                  images work correctly only with input data on the Points. By contrast, if you
-                  want to render the data and color according to the scalar image, the rendering
-                  is quite different depending on whether the scalar data is on the Points or the Cells.
-                  Generally, you get the expected result in this case by putting the data on the
-                  Cells. This discussion is important because it illustrates that there is no
-                  one universally correct answer to whether image data belongs on
-                  the Points or on the Cells. <code>vtkbone</code> image readers, such as
-                  <a
-                    href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneAIMReader.html">vtkboneAIMReader</a>
-                  have an option DataOnCells to control the desired
-                  behaviour. <code>VTK</code> image readers always put image data on the Points, so if
-                  you need the data on the Cells, you must to copy the output to a new <a
-                    href="http://www.vtk.org/doc/release/6.3/html/classvtkImageData.html">vtkImageData</a> .
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>Examples of reading data with vtkbone are given in the tutorials
-              <a href="#cube_with_vtkbone_tutorial">Compressing a cube revisited using vtkbone</a>
-              and <a href="#screw_pullout_tutorial">Advanced custom model tutorial: a screw pull-out test</a>.
-            </p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_reading_an_unsegmented_image_and_segmenting_it">3.6. Reading an unsegmented image and segmenting it
-          </h3>
-          <div class="paragraph">
-            <p>If you have an unsegmented image such as a raw micro-CT image that
-              has scalar values still in terms of density, it is possible to process the image with
-              VTK. Segmentation is a complex subject, which we are unable to cover
-              here. For an
-              example of a simple segmentation, where only a density threshold
-              and connectivity are considered, consult the example in the directory
-              <code>examples/segment_dicom</code>.
-            </p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="ensuring_connectivity">3.7. Ensuring connectivity</h3>
-          <div class="paragraph">
-            <p>
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>A well-defined problem for finite element analysis requires that all parts
-              of the object in the image be connected as a single object.</p>
-          </div>
-          <div class="paragraph">
-            <p>Disconnected parts in the input create an ill-defined problem, with
-              an infinite number of solutions. These arise, for example, when there
-              is noise in the image data. Some solvers cannot solve this kind of problem
-              at all (the global stiffness matrix is singular). <code>n88solver</code> will typically
-              find a solution. However, the convergence might be very slow as it attempts
-              to find the non-existent optimum position for the disconnected
-              part.</p>
-          </div>
-          <div class="paragraph">
-            <p>To avoid this problem, the input image can be processed with the filter
-              <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classImageConnectivityFilter.html">ImageConnectivityFilter</a>
-              . This filter has many options and
-              different modes of operation, but in most cases the default mode is
-              sufficient. In the default behaviour:
-            </p>
-          </div>
-          <div class="olist arabic">
-            <ol class="arabic">
-              <li>
-                <p>Zero-valued voxels are considered &#8220;empty space&#8221;, and no connection is
-                  possible though them.</p>
-              </li>
-              <li>
-                <p>Voxels are considered connected if they share a face. Sharing only a corner
-                  or an edge is not sufficient.</p>
-              </li>
-              <li>
-                <p>Only the largest connected object in the input image is passed to the
-                  output image. Smaller objects that have no continuous path of connection
-                  to the largest connected object are zeroed-out.</p>
-              </li>
-            </ol>
-          </div>
-          <div class="paragraph">
-            <p>Because of the first point, it is clearly necessary to segment the image
-              before applying <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classImageConnectivityFilter.html">ImageConnectivityFilter</a>
-              , because empty space must be
-              labelled with the value 0.</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>connectivity_filter = vtkbone.vtkboneImageConnectivityFilter()
+</div>
+</div>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="admonitionblock important">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/important.png" alt="Important">
+</td>
+<td class="content">
+One slightly obscure technical issue which may arise is: are the data
+of a <a href="http://www.vtk.org/doc/release/6.3/html/classvtkImageData.html">vtkImageData</a> associated with the Points or the Cells?  Either is possible in
+<code>VTK</code>. The scalar image data (scalar because there is one value per location)
+must be explicitly associated either with the Cells or with the Points.
+(In fact it&#8217;s possible to have different scalar data on the Cells and the
+Points.)  Thinking about it as an FE problem, it is natural to associate
+the image data with Cells, where each image voxel becomes an FE element. Thus,
+we like to think of each value in the image as being at the center of
+a Cell in the VTK scheme. VTK however has generally standardized
+on the convention of image data being on the Points. There are some important
+consequences. For example, a <a href="http://www.vtk.org/doc/release/6.3/html/classvtkImageData.html">vtkImageData</a> that has dimensions of
+(M,N,P) has (M,N,P) Points, but only (M-1,N-1,P-1) Cells. Or conversely, if you
+have data with dimensions of (R,S,T), and you
+want to put the data on the Cells, then you actually require a <a href="http://www.vtk.org/doc/release/6.3/html/classvtkImageData.html">vtkImageData</a>
+with dimensions of (R+1,S+1,T+1). Also, if the origin is important, one
+needs to keep in mind that the origin is the location of the zero-indexed
+Point. In terms of the Cells, this is the &#8220;lower-left&#8221; corner of the
+zero-indexed Cell, not the center of that Cell. <code>vtkbone</code> objects that
+require images as input will accept input with data either on the points
+or on the Cells. However, many <code>VTK</code> objects that process
+images work correctly only with input data on the Points. By contrast, if you
+want to render the data and color according to the scalar image, the rendering
+is quite different depending on whether the scalar data is on the Points or the Cells.
+Generally, you get the expected result in this case by putting the data on the
+Cells. This discussion is important because it illustrates that there is no
+one universally correct answer to whether image data belongs on
+the Points or on the Cells. <code>vtkbone</code> image readers, such as
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneAIMReader.html">vtkboneAIMReader</a> have an option DataOnCells to control the desired
+behaviour. <code>VTK</code> image readers always put image data on the Points, so if
+you need the data on the Cells, you must to copy the output to a new <a href="http://www.vtk.org/doc/release/6.3/html/classvtkImageData.html">vtkImageData</a> .
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Examples of reading data with vtkbone are given in the tutorials
+<a href="#cube_with_vtkbone_tutorial">Compressing a cube revisited using vtkbone</a>
+and <a href="#screw_pullout_tutorial">Advanced custom model tutorial: a screw pull-out test</a>.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_reading_an_unsegmented_image_and_segmenting_it">3.6. Reading an unsegmented image and segmenting it</h3>
+<div class="paragraph">
+<p>If you have an unsegmented image such as a raw micro-CT image that
+has scalar values still in terms of density, it is possible to process the image with
+VTK. Segmentation is a complex subject, which we are unable to cover
+here. For an
+example of a simple segmentation, where only a density threshold
+and connectivity are considered, consult the example in the directory
+<code>examples/segment_dicom</code>.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="ensuring_connectivity">3.7. Ensuring connectivity</h3>
+<div class="paragraph">
+<p>
+
+</p>
+</div>
+<div class="paragraph">
+<p>A well-defined problem for finite element analysis requires that all parts
+of the object in the image be connected as a single object.</p>
+</div>
+<div class="paragraph">
+<p>Disconnected parts in the input create an ill-defined problem, with
+an infinite number of solutions. These arise, for example, when there
+is noise in the image data. Some solvers cannot solve this kind of problem
+at all (the global stiffness matrix is singular). <code>n88solver</code> will typically
+find a solution. However, the convergence might be very slow as it attempts
+to find the non-existent optimum position for the disconnected
+part.</p>
+</div>
+<div class="paragraph">
+<p>To avoid this problem, the input image can be processed with the filter
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classImageConnectivityFilter.html">ImageConnectivityFilter</a> . This filter has many options and
+different modes of operation, but in most cases the default mode is
+sufficient. In the default behaviour:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>Zero-valued voxels are considered &#8220;empty space&#8221;, and no connection is
+possible though them.</p>
+</li>
+<li>
+<p>Voxels are considered connected if they share a face. Sharing only a corner
+or an edge is not sufficient.</p>
+</li>
+<li>
+<p>Only the largest connected object in the input image is passed to the
+output image. Smaller objects that have no continuous path of connection
+to the largest connected object are zeroed-out.</p>
+</li>
+</ol>
+</div>
+<div class="paragraph">
+<p>Because of the first point, it is clearly necessary to segment the image
+before applying <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classImageConnectivityFilter.html">ImageConnectivityFilter</a> , because empty space must be
+labelled with the value 0.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>connectivity_filter = vtkbone.vtkboneImageConnectivityFilter()
 connectivity_filter.SetInput (image)
 connectivity_filter.Update()
 image = connectivity_filter.GetOutput() <img src="./images/icons/callouts/1.png" alt="1"></pre>
-            </div>
-          </div>
-          <div class="colist arabic">
-            <table>
-              <tr>
-                <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                <td>Notice that we use the variable name <code>image</code> for both the input
-                  and the output. This causes no problems in Python, although by doing this we can no longer
-                  use this to refer to the input image as the second call to <code>image</code> reassigns
-                  the variable the value of <code>connectivity_filter.GetOutput()</code>. If it were necessary to refer
-                  to the input image, then we should use different names for the input and output.</td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>If your input image is processed and segmented with another software
-              package, it is still a good idea to verify the connectivity of the input
-              image. If your input image is carefully prepared, and you don&#8217;t want to
-              inadvertently modify it, you can check for connectivity without modifying it like this:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>connectivity_mapper = vtkbone.vtkboneImageConnectivityMap()
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>Notice that we use the variable name <code>image</code> for both the input
+and the output. This causes no problems in Python, although by doing this we can no longer
+use this to refer to the input image as the second call to <code>image</code> reassigns
+the variable the value of <code>connectivity_filter.GetOutput()</code>. If it were necessary to refer
+to the input image, then we should use different names for the input and output.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>If your input image is processed and segmented with another software
+package, it is still a good idea to verify the connectivity of the input
+image. If your input image is carefully prepared, and you don&#8217;t want to
+inadvertently modify it, you can check for connectivity without modifying it like this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>connectivity_mapper = vtkbone.vtkboneImageConnectivityMap()
 connectivity_mapper.SetInput (image)
 connectivity_mapper.Update()
 if connectivity_mapper.GetNumberOfRegions() != 1:
     print "WARNING: Input image does not consist of a single connected object."</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>Examples of ensuring connectivity are given in the tutorials
-              <a href="#cube_with_vtkbone_tutorial">Compressing a cube revisited using vtkbone</a>
-              and <a href="#screw_pullout_tutorial">Advanced custom model tutorial: a screw pull-out test</a>.
-            </p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_generating_a_mesh">3.8. Generating a mesh</h3>
-          <div class="paragraph">
-            <p>
-
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>Once we have a segmented and connected image, we convert the image to a mesh of elements, represented by
-              a <a href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a>
-              object. The base class <a
-                href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a>
-              supports many
-              types of Cells, but currently <code>vtkbone</code> supports only <code>VTK_HEXAHEDRON</code> and
-              <code>VTK_VOXEL</code>. The topology of <code>VTK_VOXEL</code> is shown in <a
-                href="#vtk_voxel_topology">Figure 13</a>.
-            </p>
-          </div>
-          <div id="vtk_voxel_topology" class="imageblock">
-            <div class="content">
-              <img src="images/vtk_voxel_topology.png" alt="vtk voxel topology">
-            </div>
-            <div class="title">Figure 13. Topology of VTK_VOXEL. Local numbering of the nodes (Points) of the element
-              (Cell) is shown (0-indexed).</div>
-          </div>
-          <div class="paragraph">
-            <p>Generating a mesh in <code>vtkbone</code> is straightforward; simply pass the input image
-              to a <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneImageToMesh.html">vtkboneImageToMesh</a>
-              filter. It takes no options; the important choices
-              were made already during the segmentation stage. In Python this looks
-              like this</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>mesher = vtkbone.vtkboneImageToMesh()
+</div>
+</div>
+<div class="paragraph">
+<p>Examples of ensuring connectivity are given in the tutorials
+<a href="#cube_with_vtkbone_tutorial">Compressing a cube revisited using vtkbone</a>
+and <a href="#screw_pullout_tutorial">Advanced custom model tutorial: a screw pull-out test</a>.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_generating_a_mesh">3.8. Generating a mesh</h3>
+<div class="paragraph">
+<p>
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>Once we have a segmented and connected image, we convert the image to a mesh of elements, represented by
+a <a href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a> object. The base class <a href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a> supports many
+types of Cells, but currently <code>vtkbone</code> supports only <code>VTK_HEXAHEDRON</code> and <code>VTK_VOXEL</code>. The topology of <code>VTK_VOXEL</code> is shown in <a href="#vtk_voxel_topology">Figure 13</a>.</p>
+</div>
+<div id="vtk_voxel_topology" class="imageblock">
+<div class="content">
+<img src="images/vtk_voxel_topology.png" alt="vtk voxel topology">
+</div>
+<div class="title">Figure 13. Topology of VTK_VOXEL. Local numbering of the nodes (Points) of the element (Cell) is shown (0-indexed).</div>
+</div>
+<div class="paragraph">
+<p>Generating a mesh in <code>vtkbone</code> is straightforward; simply pass the input image
+to a <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneImageToMesh.html">vtkboneImageToMesh</a> filter. It takes no options; the important choices
+were made already during the segmentation stage. In Python this looks
+like this</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>mesher = vtkbone.vtkboneImageToMesh()
 mesher.SetInput (image)
 mesher.Update()
 mesh = mesher.GetOutput()</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>vtkboneImageToMesh creates one Cell (<em>i.e.</em> element) of type <code>VTK_VOXEL</code> for every
-              voxel in the input image that has non-zero scalar value. The scalar values of
-              the image become the scalar values of the output Cells. It also creates Points
-              at the vertices (corners) of the Cells. There are no duplicate Points:
-              neighbouring Cells will reference the same Point on shared vertices.</p>
-          </div>
-          <div class="admonitionblock important">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/important.png" alt="Important">
-                </td>
-                <td class="content">
-                  Cells and Points in <code>VTK</code> are ordered; they can be indexed by
-                  consecutive Cell or Point number. This ordering is not inconsequential.
-                  In Faim, the solver efficiency is optimal with certain orderings, and in fact
-                  there are orderings for which the solver fails with an error message.
-                  The ordering output by <a
-                    href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneImageToMesh.html">vtkboneImageToMesh</a>
-                  is
-                  &#8220;x fastest, z slowest&#8221;. It is recommended to always preserve this ordering.
-                </td>
-              </tr>
-            </table>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_defining_materials">3.9. Defining materials</h3>
-          <div class="paragraph">
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>Material definitions are generated by creating a instance of a class of the
-              corresponding material type, and then calling the appropriate methods to set
-              the material parameters. Every material must have a unique name. <code>vtkbone</code> will
-              assign default unique names when defining a new material object, but
-              the names will be more meaningful if you assign them yourself.</p>
-          </div>
-          <div class="paragraph">
-            <p><code>vtkbone</code> version 2.0 supports the following material classes:</p>
-          </div>
-          <div class="ulist">
-            <ul>
-              <li>
-                <p><a
-                    href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneLinearIsotropicMaterial.html">vtkboneLinearIsotropicMaterial</a>
-                </p>
-              </li>
-              <li>
-                <p><a
-                    href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkn88LinearOrthotropicMaterial.html">vtkn88LinearOrthotropicMaterial</a>
-                </p>
-              </li>
-              <li>
-                <p><a
-                    href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkn88LinearAnisotropicMaterial.html">vtkn88LinearAnisotropicMaterial</a>
-                </p>
-              </li>
-              <li>
-                <p><a
-                    href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneVonMisesIsotropicMaterial.html">vtkboneVonMisesIsotropicMaterial</a>
-                </p>
-              </li>
-              <li>
-                <p><a
-                    href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneMohrCoulombIsotropicMaterial.html">vtkboneMohrCoulombIsotropicMaterial</a>
-                </p>
-              </li>
-            </ul>
-          </div>
-          <div class="paragraph">
-            <p>Plus special material classes that are in fact <em>material arrays</em>, which
-              are discussed below.</p>
-          </div>
-          <div class="paragraph">
-            <p>Here is an example of creating a simple linear isotropic material:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>linear_material = vtkbone.vtkboneLinearIsotropicMaterial()
+</div>
+</div>
+<div class="paragraph">
+<p>vtkboneImageToMesh creates one Cell (<em>i.e.</em> element) of type <code>VTK_VOXEL</code> for every
+voxel in the input image that has non-zero scalar value. The scalar values of
+the image become the scalar values of the output Cells. It also creates Points
+at the vertices (corners) of the Cells. There are no duplicate Points:
+neighbouring Cells will reference the same Point on shared vertices.</p>
+</div>
+<div class="admonitionblock important">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/important.png" alt="Important">
+</td>
+<td class="content">
+Cells and Points in <code>VTK</code> are ordered; they can be indexed by
+consecutive Cell or Point number. This ordering is not inconsequential.
+In Faim, the solver efficiency is optimal with certain orderings, and in fact
+there are orderings for which the solver fails with an error message.
+The ordering output by <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneImageToMesh.html">vtkboneImageToMesh</a> is
+&#8220;x fastest, z slowest&#8221;. It is recommended to always preserve this ordering.
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_defining_materials">3.9. Defining materials</h3>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>Material definitions are generated by creating a instance of a class of the
+corresponding material type, and then calling the appropriate methods to set
+the material parameters. Every material must have a unique name. <code>vtkbone</code> will
+assign default unique names when defining a new material object, but
+the names will be more meaningful if you assign them yourself.</p>
+</div>
+<div class="paragraph">
+<p><code>vtkbone</code> version 9 and onwards supports the following material classes:</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p><a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneLinearIsotropicMaterial.html">vtkboneLinearIsotropicMaterial</a></p>
+</li>
+<li>
+<p><a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkn88LinearOrthotropicMaterial.html">vtkn88LinearOrthotropicMaterial</a></p>
+</li>
+<li>
+<p><a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkn88LinearAnisotropicMaterial.html">vtkn88LinearAnisotropicMaterial</a></p>
+</li>
+<li>
+<p><a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneVonMisesIsotropicMaterial.html">vtkboneVonMisesIsotropicMaterial</a></p>
+</li>
+<li>
+<p><a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneMohrCoulombIsotropicMaterial.html">vtkboneMohrCoulombIsotropicMaterial</a></p>
+</li>
+</ul>
+</div>
+<div class="paragraph">
+<p>Plus special material classes that are in fact <em>material arrays</em>, which
+are discussed below.</p>
+</div>
+<div class="paragraph">
+<p>Here is an example of creating a simple linear isotropic material:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>linear_material = vtkbone.vtkboneLinearIsotropicMaterial()
 linear_material.SetYoungsModulus (800) <img src="./images/icons/callouts/1.png" alt="1">
 linear_material.SetPoissonsRatio (0.33)
 linear_material.SetName ("Linear 800")</pre>
-            </div>
-          </div>
-          <div class="colist arabic">
-            <table>
-              <tr>
-                <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                <td>As discussed in <a href="#note_about_units">A note about units</a>, the units
-                  of Young&#8217;s modulus depend on the input length units. If the length
-                  units are mm and force units in N, then Young&#8217;s modulus has units of MPa.</td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>This is the construction of a Mohr-Coulomb elastoplastic material:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>ep_material = vtkbone.vtkboneMohrCoulombIsotropicMaterial()
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>As discussed in <a href="#note_about_units">A note about units</a>, the units
+of Young&#8217;s modulus depend on the input length units. If the length
+units are mm and force units in N, then Young&#8217;s modulus has units of MPa.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>This is the construction of a Mohr-Coulomb elastoplastic material:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>ep_material = vtkbone.vtkboneMohrCoulombIsotropicMaterial()
 ep_material.SetYoungsModulus (800)
 ep_material.SetPoissonsRatio (0.33)
 ep_material.SetYieldStrengths (20, 40) <img src="./images/icons/callouts/1.png" alt="1">
 ep_material.SetName ("Mohr Coulomb material 1")</pre>
-            </div>
-          </div>
-          <div class="colist arabic">
-            <table>
-              <tr>
-                <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                <td>For Mohr-Coulomb, this pair of numbers is the yield strength in
-                  tension and the yield strength in compression. The units of yield strength
-                  are the same as stress, so typically MPa.</td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>In addition to the standard material classes, there are material
-              array classes. Simply put, these define not a single material,
-              but a sequence of similar materials with variable parameters.
-              For a discussion of the circumstances in which this could be
-              useful, see
-              <a href="#material_arrays">Efficient Handling of Large Numbers of Material Definitions</a>.
-              The material array classes do inherit
-              themselves from <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneMaterial.html">vtkboneMaterial</a>
-              (rather than being a collection of <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneMaterial.html">vtkboneMaterial</a>
-              objects). They can therefore be used nearly anywhere that a regular
-              material can be; in particular, they can be inserted as entries
-              into a material table. The material array classes are
-            </p>
-          </div>
-          <div class="ulist">
-            <ul>
-              <li>
-                <p><a
-                    href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneLinearIsotropicMaterialArray.html">vtkboneLinearIsotropicMaterialArray</a>
-                </p>
-              </li>
-              <li>
-                <p><a
-                    href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkn88LinearOrthotropicMaterialArray.html">vtkn88LinearOrthotropicMaterialArray</a>
-                </p>
-              </li>
-              <li>
-                <p><a
-                    href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkn88LinearAnisotropicMaterialArray.html">vtkn88LinearAnisotropicMaterialArray</a>
-                </p>
-              </li>
-              <li>
-                <p><a
-                    href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneVonMisesIsotropicMaterialArray.html">vtkboneVonMisesIsotropicMaterialArray</a>
-                </p>
-              </li>
-              <li>
-                <p><a
-                    href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneMohrCoulombIsotropicMaterialArray.html">vtkboneMohrCoulombIsotropicMaterialArray</a>
-                </p>
-              </li>
-            </ul>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_constructing_a_material_table">3.10. Constructing a material table</h3>
-          <div class="paragraph">
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>Once you have created your material definitions, you need to combine them
-              into a material table, which maps material IDs to the material definitions.</p>
-          </div>
-          <div class="paragraph">
-            <p>For example, if we want a homogenous material, and the input image
-              has only the scalar value 127 for bone (and 0 for background),
-              then we can make a material table like this:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>materialTable = vtkbone.vtkboneMaterialTable()
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>For Mohr-Coulomb, this pair of numbers is the yield strength in
+tension and the yield strength in compression. The units of yield strength
+are the same as stress, so typically MPa.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>In addition to the standard material classes, there are material
+array classes. Simply put, these define not a single material,
+but a sequence of similar materials with variable parameters.
+For a discussion of the circumstances in which this could be
+useful, see
+<a href="#material_arrays">Efficient Handling of Large Numbers of Material Definitions</a>.
+The material array classes do inherit
+themselves from <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneMaterial.html">vtkboneMaterial</a>
+(rather than being a collection of <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneMaterial.html">vtkboneMaterial</a>
+objects). They can therefore be used nearly anywhere that a regular
+material can be; in particular, they can be inserted as entries
+into a material table. The material array classes are</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p><a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneLinearIsotropicMaterialArray.html">vtkboneLinearIsotropicMaterialArray</a></p>
+</li>
+<li>
+<p><a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkn88LinearOrthotropicMaterialArray.html">vtkn88LinearOrthotropicMaterialArray</a></p>
+</li>
+<li>
+<p><a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkn88LinearAnisotropicMaterialArray.html">vtkn88LinearAnisotropicMaterialArray</a></p>
+</li>
+<li>
+<p><a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneVonMisesIsotropicMaterialArray.html">vtkboneVonMisesIsotropicMaterialArray</a></p>
+</li>
+<li>
+<p><a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneMohrCoulombIsotropicMaterialArray.html">vtkboneMohrCoulombIsotropicMaterialArray</a></p>
+</li>
+</ul>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_constructing_a_material_table">3.10. Constructing a material table</h3>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>Once you have created your material definitions, you need to combine them
+into a material table, which maps material IDs to the material definitions.</p>
+</div>
+<div class="paragraph">
+<p>For example, if we want a homogenous material, and the input image
+has only the scalar value 127 for bone (and 0 for background),
+then we can make a material table like this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>materialTable = vtkbone.vtkboneMaterialTable()
 materialTable.AddMaterial (127, linear_material) <img src="./images/icons/callouts/1.png" alt="1"></pre>
-            </div>
-          </div>
-          <div class="colist arabic">
-            <table>
-              <tr>
-                <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                <td>We created the material <code>linear_material</code> above.</td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>We must assign a material for every segmentation value present in the input.
-              The same material can be assigned to multiple material IDs.
-              For example, suppose the input image has segmentation values 100-103, and
-              we have created two different materials, <code>materialA</code> and <code>materialB</code>,
-              then we could create a <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneMaterialTable.html">vtkboneMaterialTable</a>
-              like this:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>materialTable = vtkbone.vtkboneMaterialTable()
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>We created the material <code>linear_material</code> above.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>We must assign a material for every segmentation value present in the input.
+The same material can be assigned to multiple material IDs.
+For example, suppose the input image has segmentation values 100-103, and
+we have created two different materials, <code>materialA</code> and <code>materialB</code>,
+then we could create a <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneMaterialTable.html">vtkboneMaterialTable</a> like this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>materialTable = vtkbone.vtkboneMaterialTable()
 materialTable.AddMaterial (100, materialA)
 materialTable.AddMaterial (101, materialB)
 materialTable.AddMaterial (102, materialB)
 materialTable.AddMaterial (103, materialB)</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>There are a couple of helper classes that simplify the creation of
-              material tables for common cases. For a model with a homogenous
-              material, we can use <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneGenerateHomogeneousMaterialTable.html">vtkboneGenerateHomogeneousMaterialTable</a>
-              .
-              This class assigns a specified <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneMaterial.html">vtkboneMaterial</a> to
-              all the scalar values
-              present in the input mesh. The size of the resulting material table
-              depends on the number of distinct input values. For example,</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>mtGenerator = vtkbone.vtkboneGenerateHomogeneousMaterialTable()
+</div>
+</div>
+<div class="paragraph">
+<p>There are a couple of helper classes that simplify the creation of
+material tables for common cases. For a model with a homogenous
+material, we can use <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneGenerateHomogeneousMaterialTable.html">vtkboneGenerateHomogeneousMaterialTable</a> .
+This class assigns a specified <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneMaterial.html">vtkboneMaterial</a> to all the scalar values
+present in the input mesh. The size of the resulting material table
+depends on the number of distinct input values. For example,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>mtGenerator = vtkbone.vtkboneGenerateHomogeneousMaterialTable()
 mtGenerator.SetMaterial (material1)
 mtGenerator.SetMaterialIdList (mesh.GetCellData().GetScalars())
 mtGenerator.Update()
 materialTable = mtGenerator.GetOutput()</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>We could alternatively set SetMaterialIdList with the scalars from the image,
-              rather than those of the mesh; the results will be the same.</p>
-          </div>
-          <div class="paragraph">
-            <p>Another useful helper class is <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneGenerateHommingaMaterialTable.html">vtkboneGenerateHommingaMaterialTable</a>
-              .
-              Refer to the <a href="#homminga_material_table">the section on the Homminga material model</a>
-              in the chapter on preparing models with <a href="#n88modelgenerator">n88modelgenerator</a>.</p>
-          </div>
-          <div class="paragraph">
-            <p>Examples of defining materials and creating a material table are
-              given in the tutorials
-              <a href="#cube_with_vtkbone_tutorial">Compressing a cube revisited using vtkbone</a>,
-              <a href="#cantilever_tutorial">Deflection of a cantilevered beam: adding custom boundary conditions and
-                loads</a>
-              and <a href="#screw_pullout_tutorial">Advanced custom model tutorial: a screw pull-out test</a>.
-            </p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_creating_a_finite_element_model">3.11. Creating a finite element model</h3>
-          <div class="paragraph">
-            <p>At this stage, we combine the geometric mesh with the material table to create
-              a <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-              object. The most elementary
-              way to do this is with a <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModelGenerator.html">vtkboneFiniteElementModelGenerator</a>
-              ,
-              which can be used like this</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>modelGenerator = vtkbone.vtkboneFiniteElementModelGenerator()
+</div>
+</div>
+<div class="paragraph">
+<p>We could alternatively set SetMaterialIdList with the scalars from the image,
+rather than those of the mesh; the results will be the same.</p>
+</div>
+<div class="paragraph">
+<p>Another useful helper class is <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneGenerateHommingaMaterialTable.html">vtkboneGenerateHommingaMaterialTable</a> .
+Refer to the <a href="#homminga_material_table">the section on the Homminga material model</a>
+in the chapter on preparing models with <a href="#n88modelgenerator">n88modelgenerator</a>.</p>
+</div>
+<div class="paragraph">
+<p>Examples of defining materials and creating a material table are
+given in the tutorials
+<a href="#cube_with_vtkbone_tutorial">Compressing a cube revisited using vtkbone</a>,
+<a href="#cantilever_tutorial">Deflection of a cantilevered beam: adding custom boundary conditions and loads</a>
+and <a href="#screw_pullout_tutorial">Advanced custom model tutorial: a screw pull-out test</a>.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_creating_a_finite_element_model">3.11. Creating a finite element model</h3>
+<div class="paragraph">
+<p>At this stage, we combine the geometric mesh with the material table to create
+a <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a> object. The most elementary
+way to do this is with a <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModelGenerator.html">vtkboneFiniteElementModelGenerator</a> ,
+which can be used like this</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>modelGenerator = vtkbone.vtkboneFiniteElementModelGenerator()
 modelGenerator.SetInput (0, mesh)
 modelGenerator.SetInput (1, materialTable)
 modelGenerator.Update()
 model = modelGenerator.GetOutput()</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>After combining the mesh with the material table, all that is now required to
-              make a complete finite element model is to add boundary conditions and/or
-              applied loads, and to specify node and element sets for the post-processing.
-              For standard tests,
-              there are <code>vtkbone</code> filters to generate complete models, and these are
-              described below in <a href="#filters_for_standard_tests">Filters for creating standard tests</a>.</p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="creating_sets">3.12. Creating node and element sets</h3>
-          <div class="paragraph">
-            <p>
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>Before we can create boundary conditions or applied loads, we need to
-              define node and/or element sets that specify all the nodes (or elements)
-              to which we want to apply the boundary condition (displacement or applied load).
-              Node and element sets are also used during post-processing. This will
-              be discussed later in <a href="#setting_post_processing_parameters">Setting post processing
-                parameters</a>.</p>
-          </div>
-          <div class="paragraph">
-            <p>Any number of node and element sets may be defined. They must be named,
-              and they are accessed by name. The node and element sets are simply lists
-              of node or element numbers,
-              and are stored as <a
-                href="http://www.vtk.org/doc/release/6.3/html/classvtkIdTypeArray.html">vtkIdTypeArray</a> . There are
-              many ways to create node and
-              element sets. A very simple way is to simply enumerate the node numbers
-              (or element numbers). For example, if we wanted to create a node
-              set of the nodes 8,9,10,11 , this would be the code:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>nodes = array ([8,9,10,11])
+</div>
+</div>
+<div class="paragraph">
+<p>After combining the mesh with the material table, all that is now required to
+make a complete finite element model is to add boundary conditions and/or
+applied loads, and to specify node and element sets for the post-processing.
+For standard tests,
+there are <code>vtkbone</code> filters to generate complete models, and these are
+described below in <a href="#filters_for_standard_tests">Filters for creating standard tests</a>.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="creating_sets">3.12. Creating node and element sets</h3>
+<div class="paragraph">
+<p>
+
+</p>
+</div>
+<div class="paragraph">
+<p>Before we can create boundary conditions or applied loads, we need to
+define node and/or element sets that specify all the nodes (or elements)
+to which we want to apply the boundary condition (displacement or applied load).
+Node and element sets are also used during post-processing. This will
+be discussed later in <a href="#setting_post_processing_parameters">Setting post processing parameters</a>.</p>
+</div>
+<div class="paragraph">
+<p>Any number of node and element sets may be defined. They must be named,
+and they are accessed by name. The node and element sets are simply lists
+of node or element numbers,
+and are stored as <a href="http://www.vtk.org/doc/release/6.3/html/classvtkIdTypeArray.html">vtkIdTypeArray</a> . There are many ways to create node and
+element sets. A very simple way is to simply enumerate the node numbers
+(or element numbers). For example, if we wanted to create a node
+set of the nodes 8,9,10,11 , this would be the code:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>nodes = array ([8,9,10,11])
 nodes_vtk = numpy_to_vtk (nodes, deep=1, array_type=vtk.VTK_ID_TYPE) <img src="./images/icons/callouts/1.png" alt="1">
 nodes_vtk.SetName ("example_node_set")
 model.AddNodeSet (nodes_vtk)</pre>
-            </div>
-          </div>
-          <div class="colist arabic">
-            <table>
-              <tr>
-                <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                <td>In Python, the most flexible way to handle array data is with
-                  numpy arrays, however the data must be passed to VTK objects as
-                  <a href="http://www.vtk.org/doc/release/6.3/html/classvtkDataArray.html">vtkDataArray</a> .
-                  <code>numpy_to_vtk</code> does the conversion.
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p><code>VTK</code> offers many ways to select Points and Cells, for example by geometric criteria.
-              As an example of this, refer to the <a
-                href="#selecting_cells_within_a_cylinder">screw_pullout_tutorial</a> where a node set
-              is selected from nodes located on a particular rough surface, and subject to additional
-              criterion <em>r<sub>1</sub></em> &lt; <em>r</em> &lt; <em>r<sub>2</sub></em> , where <em>r</em> is the
-              radius from a screw axis.</p>
-          </div>
-          <div class="paragraph">
-            <p><code>vtkbone</code> also offers some utility functions for identifying node and elements
-              sets. These can be found in <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneSelectionUtilities.html">vtkboneSelectionUtilities</a>
-              .</p>
-          </div>
-          <div class="paragraph">
-            <p>Frequently, we require sets corresponding to the faces of the model
-              (<em>i.e.</em> the boundaries of the image). In this case, we may use the
-              class <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
-              . <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
-              is a subclass of <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModelGenerator.html">vtkboneFiniteElementModelGenerator</a>
-              , with
-              the extra functionality of creating pre-defined sets.
-              <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
-              implements the concept of a Test Frame
-              and a Data Frame. Refer to <a href="#test_orientation">test orientation</a> in
-              the chapter on <a href="#n88modelgenerator">n88modelgenerator</a>. <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
-              creates the node and element sets given in the following table. Note
-              that in each case there is both a node and element set, with the
-              same name.
-            </p>
-          </div>
-          <table id="sets_generated_by_vtkboneApplyTestBase" class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 2. Node and element sets generated by vtkboneApplyTestBase</caption>
-            <colgroup>
-              <col style="width: 33.3333%;">
-              <col style="width: 66.6667%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Set name</th>
-                <th class="tableblock halign-left valign-top">Consists of</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">face_z0</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">nodes/elements on the bottom surface (<em>z</em>=<em>z<sub>min</sub></em>) in
-                    the Test Frame.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">face_z1</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">nodes/elements on the top surface (<em>z</em>=<em>z<sub>max</sub></em>) in the
-                    Test Frame.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">face_x0</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">nodes/elements on the <em>x</em>=<em>x<sub>min</sub></em> surface in Test Frame.
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">face_x1</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">nodes/elements on the <em>x</em>=<em>x<sub>max</sub></em> surface in Test Frame.
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">face_y0</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">nodes/elements on the <em>y</em>=<em>y<sub>min</sub></em> surface in Test Frame.
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">face_y1</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">nodes/elements on the <em>y</em>=<em>y<sub>max</sub></em> surface in Test Frame.
-                  </p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div class="paragraph">
-            <p>The sets &#8220;face_z0&#8221; and &#8220;face_z1&#8221; are of particular importance, as the standard
-              tests are applied along the <em>z</em> axis in the Test Frame.</p>
-          </div>
-          <div class="paragraph">
-            <p><a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
-              has options <code>UnevenTopSurface()</code>
-              and <code>UnevenBottomSurface()</code> by which we can choose to have &#8220;face_z0&#8221; and/or
-              &#8220;face_z1&#8221;
-              as the set of nodes/elements on an uneven surface, instead of the boundary of the
-              model. This is especially useful when the object in the image does not
-              intersect the top/bottom boundaries
-              of the image. See further discussion on <a href="#uneven_surfaces">uneven surfaces</a> in
-              the chapter on <a href="#n88modelgenerator">n88modelgenerator</a>. The two sets &#8220;face_z0&#8221; and
-              &#8220;face_z1&#8221; can also be limited to
-              a specific material, as defined by material ID.</p>
-          </div>
-          <div class="paragraph">
-            <p><a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
-              is used identically to
-              <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModelGenerator.html">vtkboneFiniteElementModelGenerator</a>
-              , except that additional optional
-              settings may be set if desired. For example, here we define a model
-              with a test axis in the <em>y</em> direction, and specify that we want the
-              set &#8220;face_z1&#8221; to be the uneven surface in the image, where we are limiting
-              the search for the uneven surface to a maximum distance of 0.5 from the image
-              boundary.
-            </p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>modelGenerator = vtkbone.vtkboneApplyTestBase()
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>In Python, the most flexible way to handle array data is with
+numpy arrays, however the data must be passed to VTK objects as
+<a href="http://www.vtk.org/doc/release/6.3/html/classvtkDataArray.html">vtkDataArray</a> . <code>numpy_to_vtk</code> does the conversion.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p><code>VTK</code> offers many ways to select Points and Cells, for example by geometric criteria.
+As an example of this, refer to the <a href="#selecting_cells_within_a_cylinder">screw_pullout_tutorial</a> where a node set
+is selected from nodes located on a particular rough surface, and subject to additional
+criterion <em>r<sub>1</sub></em> &lt; <em>r</em> &lt; <em>r<sub>2</sub></em> , where <em>r</em> is the radius from a screw axis.</p>
+</div>
+<div class="paragraph">
+<p><code>vtkbone</code> also offers some utility functions for identifying node and elements
+sets. These can be found in <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneSelectionUtilities.html">vtkboneSelectionUtilities</a> .</p>
+</div>
+<div class="paragraph">
+<p>Frequently, we require sets corresponding to the faces of the model
+(<em>i.e.</em> the boundaries of the image). In this case, we may use the
+class <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a> . <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
+is a subclass of <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModelGenerator.html">vtkboneFiniteElementModelGenerator</a> , with
+the extra functionality of creating pre-defined sets.
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a> implements the concept of a Test Frame
+and a Data Frame. Refer to <a href="#test_orientation">test orientation</a> in
+the chapter on <a href="#n88modelgenerator">n88modelgenerator</a>. <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
+creates the node and element sets given in the following table. Note
+that in each case there is both a node and element set, with the
+same name.</p>
+</div>
+<table id="sets_generated_by_vtkboneApplyTestBase" class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 2. Node and element sets generated by vtkboneApplyTestBase</caption>
+<colgroup>
+<col style="width: 33.3333%;">
+<col style="width: 66.6667%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Set name</th>
+<th class="tableblock halign-left valign-top">Consists of</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">face_z0</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">nodes/elements on the bottom surface (<em>z</em>=<em>z<sub>min</sub></em>) in the Test Frame.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">face_z1</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">nodes/elements on the top surface (<em>z</em>=<em>z<sub>max</sub></em>) in the Test Frame.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">face_x0</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">nodes/elements on the <em>x</em>=<em>x<sub>min</sub></em> surface in Test Frame.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">face_x1</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">nodes/elements on the <em>x</em>=<em>x<sub>max</sub></em> surface in Test Frame.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">face_y0</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">nodes/elements on the <em>y</em>=<em>y<sub>min</sub></em> surface in Test Frame.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">face_y1</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">nodes/elements on the <em>y</em>=<em>y<sub>max</sub></em> surface in Test Frame.</p></td>
+</tr>
+</tbody>
+</table>
+<div class="paragraph">
+<p>The sets &#8220;face_z0&#8221; and &#8220;face_z1&#8221; are of particular importance, as the standard
+tests are applied along the <em>z</em> axis in the Test Frame.</p>
+</div>
+<div class="paragraph">
+<p><a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a> has options <code>UnevenTopSurface()</code>
+and <code>UnevenBottomSurface()</code> by which we can choose to have &#8220;face_z0&#8221; and/or &#8220;face_z1&#8221;
+as the set of nodes/elements on an uneven surface, instead of the boundary of the
+model. This is especially useful when the object in the image does not
+intersect the top/bottom boundaries
+of the image. See further discussion on <a href="#uneven_surfaces">uneven surfaces</a> in
+the chapter on <a href="#n88modelgenerator">n88modelgenerator</a>. The two sets &#8220;face_z0&#8221; and &#8220;face_z1&#8221; can also be limited to
+a specific material, as defined by material ID.</p>
+</div>
+<div class="paragraph">
+<p><a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a> is used identically to
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModelGenerator.html">vtkboneFiniteElementModelGenerator</a> , except that additional optional
+settings may be set if desired. For example, here we define a model
+with a test axis in the <em>y</em> direction, and specify that we want the
+set &#8220;face_z1&#8221; to be the uneven surface in the image, where we are limiting
+the search for the uneven surface to a maximum distance of 0.5 from the image
+boundary.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>modelGenerator = vtkbone.vtkboneApplyTestBase()
 modelGenerator.SetInput (0, mesh)
 modelGenerator.SetInput (1, materialTable)
 modelGenerator.SetTestAxis (vtkbone.vtkboneApplyTestBase.TEST_AXIS_Y)
@@ -5610,40 +3222,33 @@ <h3 id="creating_sets">3.12. Creating node and element sets</h3>
 modelGenerator.SetTopSurfaceMaximumDepth (0.5)
 modelGenerator.Update()
 model = modelGenerator.GetOutput()</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>An example of using the standard node and element sets from
-              <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
-              is given in
-              <a href="#cantilever_tutorial">Deflection of a cantilevered beam: adding custom boundary conditions and
-                loads</a>. The tutorial
-              <a href="#screw_pullout_tutorial">Advanced custom model tutorial: a screw pull-out test</a> demonstrates a
-              sophisticated selection of custom node sets.
-            </p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="adding_boundary_conditions">3.13. Adding boundary conditions</h3>
-          <div class="paragraph">
-            <p>
-
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>Once we have created the node sets, creating a boundary condition applied
-              to the nodes of a particular node set is straightforward and can be done
-              with the method <code>ApplyBoundaryCondition()</code> of <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-              . For example,
-              to fix the bottom nodes and apply a displacement of 0.1 to the top nodes,
-              we could do this</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>model.ApplyBoundaryCondition (
+</div>
+</div>
+<div class="paragraph">
+<p>An example of using the standard node and element sets from
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a> is given in
+<a href="#cantilever_tutorial">Deflection of a cantilevered beam: adding custom boundary conditions and loads</a>. The tutorial
+<a href="#screw_pullout_tutorial">Advanced custom model tutorial: a screw pull-out test</a> demonstrates a sophisticated selection of custom node sets.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="adding_boundary_conditions">3.13. Adding boundary conditions</h3>
+<div class="paragraph">
+<p>
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>Once we have created the node sets, creating a boundary condition applied
+to the nodes of a particular node set is straightforward and can be done
+with the method <code>ApplyBoundaryCondition()</code> of <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a> . For example,
+to fix the bottom nodes and apply a displacement of 0.1 to the top nodes,
+we could do this</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>model.ApplyBoundaryCondition (
         "face_z0",
         vtkbone.vtkboneConstraint.SENSE_Z, <img src="./images/icons/callouts/1.png" alt="1">
         0,
@@ -5653,69 +3258,51 @@ <h3 id="adding_boundary_conditions">3.13. Adding boundary conditions</h3>
         vtkbone.vtkboneConstraint.SENSE_Z,
         -0.1, <img src="./images/icons/callouts/3.png" alt="3">
         "bottom_fixed")</pre>
-            </div>
-          </div>
-          <div class="colist arabic">
-            <table>
-              <tr>
-                <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                <td><code>vtkbone.vtkboneConstraint.SENSE_Z</code> has the value 2 (see <a
-                    href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneConstraint.html">vtkboneConstraint</a>
-                  ). It is possible
-                  just to use that value 2 here, but <code>SENSE_Z</code> is more informative.</td>
-              </tr>
-              <tr>
-                <td><img src="./images/icons/callouts/2.png" alt="2"></td>
-                <td>This is the user-defined name assigned to the boundary condition. Every constraint must have a
-                  unique name.</td>
-              </tr>
-              <tr>
-                <td><img src="./images/icons/callouts/3.png" alt="3"></td>
-                <td>Negative if we want compression.</td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>The &#8220;sense&#8221; is the axis direction along which the displacement is applied.
-              The other axis directions remain free unless you also specify a value for
-              them. It is quite possible, and common, to call <code>ApplyBoundaryCondition()</code>
-              three times on the same node set, once for each sense.</p>
-          </div>
-          <div class="paragraph">
-            <p><code>ApplyBoundaryCondition()</code> can take different types of arguments, for example
-              arrays of senses, displacements and node numbers. Refer to the API documentation
-              for <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-              . There is also a convenience method
-              <code>FixNodes()</code>, which is a quick way to set all senses to a zero displacement.
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>Boundary conditions are implemented within <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-              as a specific type of <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneConstraint.html">vtkboneConstraint</a>
-              . All the constraints
-              associated with a <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-              are contained in a
-              <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneConstraintCollection.html">vtkboneConstraintCollection</a>
-              . It is possible to
-              modify either <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneConstraintCollection.html">vtkboneConstraintCollection</a>
-              or a particular
-              <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneConstraint.html">vtkboneConstraint</a>
-              manually. For example, we could create a
-              boundary condition on two nodes in the following manner. This is
-              somewhat laborious and usually unnecessary, but it can be adapted to create
-              unusual boundary conditions.
-            </p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>node_ids = array([3,5])
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td><code>vtkbone.vtkboneConstraint.SENSE_Z</code> has the value 2 (see <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneConstraint.html">vtkboneConstraint</a> ). It is possible
+just to use that value 2 here, but <code>SENSE_Z</code> is more informative.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/2.png" alt="2"></td>
+<td>This is the user-defined name assigned to the boundary condition. Every constraint must have a unique name.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/3.png" alt="3"></td>
+<td>Negative if we want compression.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>The &#8220;sense&#8221; is the axis direction along which the displacement is applied.
+The other axis directions remain free unless you also specify a value for
+them. It is quite possible, and common, to call <code>ApplyBoundaryCondition()</code>
+three times on the same node set, once for each sense.</p>
+</div>
+<div class="paragraph">
+<p><code>ApplyBoundaryCondition()</code> can take different types of arguments, for example
+arrays of senses, displacements and node numbers. Refer to the API documentation
+for <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a> . There is also a convenience method
+<code>FixNodes()</code>, which is a quick way to set all senses to a zero displacement.</p>
+</div>
+<div class="paragraph">
+<p>Boundary conditions are implemented within <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
+as a specific type of <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneConstraint.html">vtkboneConstraint</a> . All the constraints
+associated with a <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a> are contained in a
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneConstraintCollection.html">vtkboneConstraintCollection</a> . It is possible to
+modify either <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneConstraintCollection.html">vtkboneConstraintCollection</a> or a particular
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneConstraint.html">vtkboneConstraint</a> manually. For example, we could create a
+boundary condition on two nodes in the following manner. This is
+somewhat laborious and usually unnecessary, but it can be adapted to create
+unusual boundary conditions.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>node_ids = array([3,5])
 node_ids_vtk = numpy_to_vtk (node_ids, deep=1, array_type=vtk.VTK_ID_TYPE)
 senses = array ([0,2])     # x-axis, z-axis
 senses_vtk = numpy_to_vtk (senses, deep=1, array_type=vtk.VTK_ID_TYPE)
@@ -5731,81 +3318,73 @@ <h3 id="adding_boundary_conditions">3.13. Adding boundary conditions</h3>
 constraint.GetAttributes().AddArray (senses)
 constraint.GetAttributes().AddArray (values)
 model.GetConstraints().AddItem (constraint)</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>Examples of applying boundary conditions are given in the tutorials
-              <a href="#cantilever_tutorial">Deflection of a cantilevered beam: adding custom boundary conditions and
-                loads</a>
-              and <a href="#screw_pullout_tutorial">Advanced custom model tutorial: a screw pull-out test</a>.
-            </p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="adding_applied_loads">3.14. Adding applied loads</h3>
-          <div class="paragraph">
-            <p>
-
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>Creating an applied load is similar to creating a displacement boundary
-              condition. They are both implemented as <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneConstraint.html">vtkboneConstraint</a>
-              . However, while displacement
-              boundary conditions are applied to nodes, applied loads are applied to elements; in fact they are applied
-              to a particular
-              face of an element (or to the body of an element).
-              Therefore, the <code>ApplyLoad()</code> method of
-              <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-              takes the name of an element set, and
-              has an additional input argument which specifies to which faces of the
-              elements the load is applied. Here is an example of creating an
-              applied load on the top surface of the model:
-            </p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>model.ApplyLoad (
+</div>
+</div>
+<div class="paragraph">
+<p>Examples of applying boundary conditions are given in the tutorials
+<a href="#cantilever_tutorial">Deflection of a cantilevered beam: adding custom boundary conditions and loads</a>
+and <a href="#screw_pullout_tutorial">Advanced custom model tutorial: a screw pull-out test</a>.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="adding_applied_loads">3.14. Adding applied loads</h3>
+<div class="paragraph">
+<p>
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>Creating an applied load is similar to creating a displacement boundary
+condition. They are both implemented as <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneConstraint.html">vtkboneConstraint</a> . However, while displacement
+boundary conditions are applied to nodes, applied loads are applied to elements; in fact they are applied to a particular
+face of an element (or to the body of an element).
+Therefore, the <code>ApplyLoad()</code> method of
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a> takes the name of an element set, and
+has an additional input argument which specifies to which faces of the
+elements the load is applied. Here is an example of creating an
+applied load on the top surface of the model:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>model.ApplyLoad (
         "face_z1", <img src="./images/icons/callouts/1.png" alt="1">
         vtkbone.vtkboneConstraint.FACE_Z1_DISTRIBUTION,
         vtkbone.vtkboneConstraint.SENSE_Z, <img src="./images/icons/callouts/2.png" alt="2">
         6900, <img src="./images/icons/callouts/3.png" alt="3">
         "bottom_fixed")</pre>
-            </div>
-          </div>
-          <div class="colist arabic">
-            <table>
-              <tr>
-                <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                <td>Refers to the element set &#8220;face_z1&#8221;, not the corresponding node set,
-                  which very often also exists with the same name.</td>
-              </tr>
-              <tr>
-                <td><img src="./images/icons/callouts/2.png" alt="2"></td>
-                <td>In this example, the applied force is perpendicular to the
-                  specified element face, but it is not required to be so.</td>
-              </tr>
-              <tr>
-                <td><img src="./images/icons/callouts/3.png" alt="3"></td>
-                <td>This is the total load applied. The load is evenly distributed between all
-                  of the element faces.</td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>To apply forces along non-axis directions, call <code>ApplyLoad()</code> multiple times
-              with different senses.</p>
-          </div>
-          <div class="paragraph">
-            <p>As with displacement boundary conditions, we can create an applied force manually, if
-              we require more flexibility. It will look something like this:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>element_ids = array([3,5])
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>Refers to the element set &#8220;face_z1&#8221;, not the corresponding node set,
+which very often also exists with the same name.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/2.png" alt="2"></td>
+<td>In this example, the applied force is perpendicular to the
+specified element face, but it is not required to be so.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/3.png" alt="3"></td>
+<td>This is the total load applied. The load is evenly distributed between all
+of the element faces.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>To apply forces along non-axis directions, call <code>ApplyLoad()</code> multiple times
+with different senses.</p>
+</div>
+<div class="paragraph">
+<p>As with displacement boundary conditions, we can create an applied force manually, if
+we require more flexibility. It will look something like this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>element_ids = array([3,5])
 element_ids_vtk = numpy_to_vtk (element_ids, deep=1, array_type=vtk.VTK_ID_TYPE)
 distributions = ones ((2,)) * vtkbone.vtkboneConstraint.FACE_Z1_DISTRIBUTION
 distributions_vtk = numpy_to_vtk (distributions, deep=1, array_type=vtk.VTK_ID_TYPE)
@@ -5826,258 +3405,245 @@ <h3 id="adding_applied_loads">3.14. Adding applied loads</h3>
 constraint.GetAttributes().AddArray (senses)
 constraint.GetAttributes().AddArray (values)
 model.GetConstraints().AddItem (constraint)</pre>
-            </div>
-          </div>
-          <div class="admonitionblock tip">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/tip.png" alt="Tip">
-                </td>
-                <td class="content">
-                  You can apply loads to nodes instead of to elements if you desire.
-                  You must create a constraint by hand to do this, as there is no convenience
-                  method provided for this purpose. This is most sensible
-                  when you desire to apply a point force (<em>i.e.</em> to a single node). Be careful
-                  about applying forces to nodes because applying a constant force to each of a set of nodes
-                  on a surface is <em>not</em> equivalent to applying a uniform pressure
-                  to that surface. By contrast, applying
-                  a constant force to a set of element faces is equivalent to a uniform pressure, which is why it
-                  is usually more convenient to define loads on element faces.
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="admonitionblock important">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/important.png" alt="Important">
-                </td>
-                <td class="content">
-                  Applied loads are additive. That is, if you create more than one
-                  applied load on a particular element face, the loads will add.
-                  Displacement boundary conditions by contrast are unique. If you create more
-                  than one displacement boundary
-                  condition applying to a particular node and sense, then only one of them
-                  will be used by the solver, and the other will be discarded. Which of
-                  multiple boundary conditions applying to the same degree of freedom is used
-                  is indeterminate, so it is a logical
-                  error to create multiple different boundary conditions applying to the same degree
-                  of freedom. No warning or error message will be generated in the case
-                  of multiple boundary conditions on the same degree of freedom. (It is
-                  sometimes convenient to be able to do so in cases where the actual value
-                  used turns out not to matter).
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>An example of adding an applied load is given in the tutorial
-              <a href="#cantilever_tutorial">Deflection of a cantilevered beam: adding custom boundary conditions and
-                loads</a>.
-            </p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="adding_a_convergence_set">3.15. Optional: Adding a convergence set</h3>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <div class="paragraph">
-            <p>Adding a <em>convergence set</em> is optional, but it allows the solver to use the
-              <em>convergence set</em> convergence measure, which is generally the best one for
-              linear models. Best in this context means that the solver can reliably identify
-              when a certain precision has been obtained, and thus stop iterating.
-              Less tailored convergence measures, which don&#8217;t require the definition of
-              a <em>convergence set</em>, must be more conservative, and thus run to more
-              iterations to be certain of obtaining a given precision.
-              See <a href="#convergence_measure">Convergence measure</a>.
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>Convergence sets are most conveniently defined with the method <code>ConvergenceSetFromConstraint</code>
-              of <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>.
-              You simply pass it the most relevant
-              boundary condition or applied force. &#8220;Most relevant&#8221; simply means the one
-              you are most interested in.</p>
-          </div>
-          <div class="paragraph">
-            <p>For example, the standard compression tests generate their convergence sets with</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>model.ConvergenceSetFromConstraint("top_displacement")</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>Here <em>top_displacement</em> is the name of the boundary condition on the top surface.
-              This results in a convergence set which is equivalent to the total force on the top surface.</p>
-          </div>
-          <div class="paragraph">
-            <p>In <a href="#cantilever_tutorial">Tutorial: Deflection of a cantilevered beam; adding custom boundary
-                conditions and loads</a>, an applied force is defined on the tip of a
-              cantilever, and the convergence set is generated with</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>model.ConvergenceSetFromConstraint("end_force")</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>This results in a convergence set which is the average displacement of the tip
-              of the cantilever.</p>
-          </div>
-          <div class="paragraph">
-            <p>However defined, if <em>convergence set</em> is used as the convergence measure, then the
-              solver watches that quantity to determine when it has ceased to change meaningfully,
-              and thus, when iterating can be stopped.</p>
-          </div>
-          <div class="admonitionblock warning">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/warning.png" alt="Warning">
-                </td>
-                <td class="content">
-                  <div class="paragraph">
-                    <p>You cannot define a convergence set that consists entirely of fixed nodes. That is,
-                      entirely of boundary condition nodes that are set to zero displacement. This is because the
-                      solver internally elimates these degrees of freedom, and is hence unable to
-                      calculate the corresponding forces during iterations.</p>
-                  </div>
-                </td>
-              </tr>
-            </table>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_ensuring_your_model_is_well_defined">3.16. Ensuring your model is well-defined</h3>
-          <div class="paragraph">
-            <p>
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>It is possible to create a model that is degenerate, or not well-defined.
-              In other words, a model that has not a single solution, but many solutions
-              (typically an infinite number). As a linear algebra problem, such a problem has a
-              singular global stiffness matrix. For example, consider the standard
-              uniaxial problem where a sample volume is compressed between two hard
-              parallel plates. (See <a href="#uniaxial_test">uniaxial test</a> in the chapter on
-              <a href="#n88modelgenerator">n88modelgenerator</a>). If we specify no contact friction, then although the
-              sample compresses in a predictable way between the two plates, it is free to
-              slide around as a whole (translate) anywhere between the plates. For the particular case
-              of the uniaxial model, <a href="#n88modelgenerator">n88modelgenerator</a> provides the option to add
-              a <a href="#n88modelgenerator_pin">pin</a>, which consists of the following additional constraints:
-            </p>
-          </div>
-          <div class="olist arabic">
-            <ol class="arabic">
-              <li>
-                <p>fix the <em>x</em>,<em>y</em> senses of an arbitrary node, and</p>
-              </li>
-              <li>
-                <p>fix one sense of another node (usually from the same element).</p>
-              </li>
-            </ol>
-          </div>
-          <div class="paragraph">
-            <p>The first constraint is sufficient to prevent translation, and the second constraint
-              is required to prevent rotation.</p>
-          </div>
-          <div class="paragraph">
-            <p>Models with only applied loads and no displacement boundary conditions are always
-              ill-defined.</p>
-          </div>
-          <div class="paragraph">
-            <p>Practically, <code>n88solver</code> will usually solve even ill-defined problems. In
-              fact, for the type of ill-defined problem described here,
-              it often does so faster than the equivalent well-defined problem (<em>i.e.</em>
-              one with added &#8220;pin&#8221; constraints to make it non-singular). Many types
-              of ill-defined problems can cause <code>n88solver</code> to converge much more slowly. For example,
-              see the discussion on <a href="#ensuring_connectivity">Ensuring connectivity</a>.
-              Not all solvers
-              however can handle ill-defined problems, so this should be avoided when
-              exporting models to other solvers. Also, if you would like overlay
-              the renderings of two similar ill-defined problems or compare differences
-              in any way, it is usually necessary to first register them to eliminate
-              meaningless differences (such as overall translations or rotations in
-              the example described).</p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="setting_post_processing_parameters">3.17. Setting post-processing parameters</h3>
-          <div class="paragraph">
-            <p>
-
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>If you have followed every step, then you have a model that
-              is completely defined for the solver. In fact you could save it to a file
-              and solve it now. The post-processor <a href="#n88postfaim">n88postfaim</a> however requires
-              a bit more information so that meaningful results can be extracted from the solved model. <a
-                href="#n88postfaim">n88postfaim</a> calculates certain quantities
-              with reference to node or element sets.
-              For example, in a compression test the relevant sets correspond to
-              the top and bottom faces, as we are interested principally in the
-              forces on these faces. These sets already exist (&#8220;face_z0&#8221; and
-              &#8220;face_z1&#8221;), as we previously used them to apply boundary conditions.
-              We need to list the relevant node sets to be used by
-              <a href="#n88postfaim">n88postfaim</a>. Of course, if you&#8217;re doing some custom post-processing that
-              does not
-              involve <a href="#n88postfaim">n88postfaim</a>, then this step is optional and can be skipped.
-              Setting the post-processing node sets involves setting some &#8220;information&#8221;
-              with a key (this may seem slightly obscure, but it is a standard VTK
-              technique):
-            </p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>info = model.GetInformation()
+</div>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+You can apply loads to nodes instead of to elements if you desire.
+You must create a constraint by hand to do this, as there is no convenience
+method provided for this purpose. This is most sensible
+when you desire to apply a point force (<em>i.e.</em> to a single node). Be careful
+about applying forces to nodes because applying a constant force to each of a set of nodes
+on a surface is <em>not</em> equivalent to applying a uniform pressure
+to that surface. By contrast, applying
+a constant force to a set of element faces is equivalent to a uniform pressure, which is why it
+is usually more convenient to define loads on element faces.
+</td>
+</tr>
+</table>
+</div>
+<div class="admonitionblock important">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/important.png" alt="Important">
+</td>
+<td class="content">
+Applied loads are additive. That is, if you create more than one
+applied load on a particular element face, the loads will add.
+Displacement boundary conditions by contrast are unique. If you create more
+than one displacement boundary
+condition applying to a particular node and sense, then only one of them
+will be used by the solver, and the other will be discarded. Which of
+multiple boundary conditions applying to the same degree of freedom is used
+is indeterminate, so it is a logical
+error to create multiple different boundary conditions applying to the same degree
+of freedom. No warning or error message will be generated in the case
+of multiple boundary conditions on the same degree of freedom. (It is
+sometimes convenient to be able to do so in cases where the actual value
+used turns out not to matter).
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>An example of adding an applied load is given in the tutorial
+<a href="#cantilever_tutorial">Deflection of a cantilevered beam: adding custom boundary conditions and loads</a>.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="adding_a_convergence_set">3.15. Optional: Adding a convergence set</h3>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>Adding a <em>convergence set</em> is optional, but it allows the solver to use the
+<em>convergence set</em> convergence measure, which is generally the best one for
+linear models. Best in this context means that the solver can reliably identify
+when a certain precision has been obtained, and thus stop iterating.
+Less tailored convergence measures, which don&#8217;t require the definition of
+a <em>convergence set</em>, must be more conservative, and thus run to more
+iterations to be certain of obtaining a given precision.
+See <a href="#convergence_measure">Convergence measure</a>.</p>
+</div>
+<div class="paragraph">
+<p>Convergence sets are most conveniently defined with the method <code>ConvergenceSetFromConstraint</code>
+of <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>. You simply pass it the most relevant
+boundary condition or applied force. &#8220;Most relevant&#8221; simply means the one
+you are most interested in.</p>
+</div>
+<div class="paragraph">
+<p>For example, the standard compression tests generate their convergence sets with</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>model.ConvergenceSetFromConstraint("top_displacement")</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>Here <em>top_displacement</em> is the name of the boundary condition on the top surface.
+This results in a convergence set which is equivalent to the total force on the top surface.</p>
+</div>
+<div class="paragraph">
+<p>In <a href="#cantilever_tutorial">Tutorial: Deflection of a cantilevered beam; adding custom boundary conditions and loads</a>, an applied force is defined on the tip of a
+cantilever, and the convergence set is generated with</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>model.ConvergenceSetFromConstraint("end_force")</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>This results in a convergence set which is the average displacement of the tip
+of the cantilever.</p>
+</div>
+<div class="paragraph">
+<p>However defined, if <em>convergence set</em> is used as the convergence measure, then the
+solver watches that quantity to determine when it has ceased to change meaningfully,
+and thus, when iterating can be stopped.</p>
+</div>
+<div class="admonitionblock warning">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/warning.png" alt="Warning">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>You cannot define a convergence set that consists entirely of fixed nodes. That is,
+entirely of boundary condition nodes that are set to zero displacement. This is because the
+solver internally elimates these degrees of freedom, and is hence unable to
+calculate the corresponding forces during iterations.</p>
+</div>
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_ensuring_your_model_is_well_defined">3.16. Ensuring your model is well-defined</h3>
+<div class="paragraph">
+<p>
+
+</p>
+</div>
+<div class="paragraph">
+<p>It is possible to create a model that is degenerate, or not well-defined.
+In other words, a model that has not a single solution, but many solutions
+(typically an infinite number). As a linear algebra problem, such a problem has a
+singular global stiffness matrix. For example, consider the standard
+uniaxial problem where a sample volume is compressed between two hard
+parallel plates. (See <a href="#uniaxial_test">uniaxial test</a> in the chapter on
+<a href="#n88modelgenerator">n88modelgenerator</a>). If we specify no contact friction, then although the
+sample compresses in a predictable way between the two plates, it is free to
+slide around as a whole (translate) anywhere between the plates. For the particular case
+of the uniaxial model, <a href="#n88modelgenerator">n88modelgenerator</a> provides the option to add
+a <a href="#n88modelgenerator_pin">pin</a>, which consists of the following additional constraints:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>fix the <em>x</em>,<em>y</em> senses of an arbitrary node, and</p>
+</li>
+<li>
+<p>fix one sense of another node (usually from the same element).</p>
+</li>
+</ol>
+</div>
+<div class="paragraph">
+<p>The first constraint is sufficient to prevent translation, and the second constraint
+is required to prevent rotation.</p>
+</div>
+<div class="paragraph">
+<p>Models with only applied loads and no displacement boundary conditions are always
+ill-defined.</p>
+</div>
+<div class="paragraph">
+<p>Practically, <code>n88solver</code> will usually solve even ill-defined problems. In
+fact, for the type of ill-defined problem described here,
+it often does so faster than the equivalent well-defined problem (<em>i.e.</em>
+one with added &#8220;pin&#8221; constraints to make it non-singular). Many types
+of ill-defined problems can cause <code>n88solver</code> to converge much more slowly. For example,
+see the discussion on <a href="#ensuring_connectivity">Ensuring connectivity</a>.
+Not all solvers
+however can handle ill-defined problems, so this should be avoided when
+exporting models to other solvers. Also, if you would like overlay
+the renderings of two similar ill-defined problems or compare differences
+in any way, it is usually necessary to first register them to eliminate
+meaningless differences (such as overall translations or rotations in
+the example described).</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="setting_post_processing_parameters">3.17. Setting post-processing parameters</h3>
+<div class="paragraph">
+<p>
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>If you have followed every step, then you have a model that
+is completely defined for the solver. In fact you could save it to a file
+and solve it now. The post-processor <a href="#n88postfaim">n88postfaim</a> however requires
+a bit more information so that meaningful results can be extracted from the solved model. <a href="#n88postfaim">n88postfaim</a> calculates certain quantities
+with reference to node or element sets.
+For example, in a compression test the relevant sets correspond to
+the top and bottom faces, as we are interested principally in the
+forces on these faces. These sets already exist (&#8220;face_z0&#8221; and
+&#8220;face_z1&#8221;), as we previously used them to apply boundary conditions.
+We need to list the relevant node sets to be used by
+<a href="#n88postfaim">n88postfaim</a>. Of course, if you&#8217;re doing some custom post-processing that does not
+involve <a href="#n88postfaim">n88postfaim</a>, then this step is optional and can be skipped.
+Setting the post-processing node sets involves setting some &#8220;information&#8221;
+with a key (this may seem slightly obscure, but it is a standard VTK
+technique):</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>info = model.GetInformation()
 pp_node_sets_key = vtkbone.vtkboneSolverParameters.POST_PROCESSING_NODE_SETS()
 pp_node_sets_key.Append (info, "face_z0")
 pp_node_sets_key.Append (info, "face_z1")</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>Any number of sets may be specified for post-processing.
-              <a href="#n88postfaim">n88postfaim</a> requires the element sets as well as the node
-              sets, and they must match exactly, meaning that the <em>n<sup>th</sup></em> post-processing element set
-              must be exactly those elements which contain any of the nodes of the
-              <em>n<sup>th</sup></em> post-processing node set. (The element set name is not required
-              to be the same as the node set name).
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>If you&#8217;ve used <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
-              to get pre-defined node
-              and element sets, then you already have the corresponding element
-              sets, and in fact they have the same names, so</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>info = model.GetInformation()
+</div>
+</div>
+<div class="paragraph">
+<p>Any number of sets may be specified for post-processing.
+<a href="#n88postfaim">n88postfaim</a> requires the element sets as well as the node
+sets, and they must match exactly, meaning that the <em>n<sup>th</sup></em> post-processing element set
+must be exactly those elements which contain any of the nodes of the
+<em>n<sup>th</sup></em> post-processing node set. (The element set name is not required
+to be the same as the node set name).</p>
+</div>
+<div class="paragraph">
+<p>If you&#8217;ve used <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a> to get pre-defined node
+and element sets, then you already have the corresponding element
+sets, and in fact they have the same names, so</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>info = model.GetInformation()
 pp_node_sets_key = vtkbone.vtkboneSolverParameters.POST_PROCESSING_NODE_SETS()
 pp_node_sets_key.Append (info, "face_z0")
 pp_node_sets_key.Append (info, "face_z1")
 pp_elem_sets_key = vtkbone.vtkboneSolverParameters.POST_PROCESSING_ELEMENT_SETS()
 pp_element_sets_key.Append (info, "face_z0")
 pp_element_sets_key.Append (info, "face_z1")</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>If you&#8217;ve created custom node sets, then you can obtain the corresponding
-              element sets with the method <code>GetAssociatedElementsFromNodeSet()</code>, so
-              for example (taken from the <a href="#screw_pullout_tutorial">screw pull-out tutorial</a>),</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>info = model.GetInformation()
+</div>
+</div>
+<div class="paragraph">
+<p>If you&#8217;ve created custom node sets, then you can obtain the corresponding
+element sets with the method <code>GetAssociatedElementsFromNodeSet()</code>, so
+for example (taken from the <a href="#screw_pullout_tutorial">screw pull-out tutorial</a>),</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>info = model.GetInformation()
 pp_node_sets_key = vtkbone.vtkboneSolverParameters.POST_PROCESSING_NODE_SETS()
 pp_elem_sets_key = vtkbone.vtkboneSolverParameters.POST_PROCESSING_ELEMENT_SETS()
 for setname in ["bone_top_visible", "screw_top"]:
@@ -6085,193 +3651,151 @@ <h3 id="setting_post_processing_parameters">3.17. Setting post-processing parame
     elementSet = model.GetAssociatedElementsFromNodeSet (setname)
     model.AddElementSet (elementSet)
     pp_elem_sets_key.Append (info, setname)</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>Examples of setting post-processing parameters are given in the tutorials
-              <a href="#cantilever_tutorial">Deflection of a cantilevered beam: adding custom boundary conditions and
-                loads</a>
-              and <a href="#screw_pullout_tutorial">Advanced custom model tutorial: a screw pull-out test</a>.
-            </p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="filters_for_standard_tests">3.18. Filters for creating standard tests</h3>
-          <div class="paragraph">
-            <p>
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>For each of the standard tests, namely the ones that <a href="#n88modelgenerator">n88modelgenerator</a>
-              can generate, there is a filter to generate the test, complete with
-              all displacement boundary conditions, applied forces, and relevant post-processing sets.
-              Of course, it is easier to just simply use <a href="#n88modelgenerator">n88modelgenerator</a> for these
-              cases rather than
-              write a script. However, these filters provide more options than are
-              exposed by <a href="#n88modelgenerator">n88modelgenerator</a>, and a script will allow you to access these
-              options. Furthermore, sometimes a standard model is nearly, but not quite,
-              what you want. In this case, the fastest way to proceed is to use a
-              standard test generating filter, and then tweak the resulting model.</p>
-          </div>
-          <div class="paragraph">
-            <p>All the standard test filters are subclasses of <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
-              (see <a href="#creating_sets">Creating node and element sets</a>), so that they
-              support variable orientation as defined by the Data Frame and the Test Frame,
-              as well as having the standard sets defined (&#8220;face_z0&#8221;, etc&#8230;&#8203;)</p>
-          </div>
-          <div class="paragraph">
-            <p>The following table lists the standard model filters.</p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 3. vtkbone filter classes that generate standard models</caption>
-            <colgroup>
-              <col style="width: 50%;">
-              <col style="width: 50%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">vtkbone filter</th>
-                <th class="tableblock halign-left valign-top">n88modelgenerator test types</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a
-                      href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyCompressionTest.html">vtkboneApplyCompressionTest</a>
-                  </p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a href="#uniaxial_test">uniaxial</a>, <a href="#axial_test">axial</a> and
-                    <a href="#confined_test">confined</a>
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a
-                      href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplySymmetricShearTest.html">vtkboneApplySymmetricShearTest</a>
-                  </p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a href="#symshear_test">symshear</a></p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a
-                      href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyDirectionalShearTest.html">vtkboneApplyDirectionalShearTest</a>
-                  </p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a href="#dshear_test">dshear</a></p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a
-                      href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyBendingTest.html">vtkboneApplyBendingTest</a>
-                  </p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a href="#bending_test">bending</a></p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a
-                      href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTorsionTest.html">vtkboneApplyTorsionTest</a>
-                  </p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a href="#torsion_test">torsion</a></p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div class="paragraph">
-            <p>For details on the options supported by these filters, refer to the API
-              documentation.</p>
-          </div>
-          <div class="paragraph">
-            <p>An example of using a standard test filter is given in the tutorial
-              <a href="#cube_with_vtkbone_tutorial">Compressing a cube revisited using vtkbone</a>.
-            </p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_modifying_a_finite_element_model">3.19. Modifying a finite element model</h3>
-          <div class="paragraph">
-            <p>Often a standard model type will be very close to the desired test configuration,
-              but some modifications are needed. Every part of <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-              can be modified, or even deleted, after creation.
-              There are in general too many possibilities to enumerate here.</p>
-          </div>
-          <div class="paragraph">
-            <p>If a model is already written as an <code>n88model</code> file, it can be read with
-              <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneN88ModelReader.html">vtkboneN88ModelReader</a>
-              , modified, and rewritten.
-            </p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_updating_the_history_and_the_log">3.20. Updating the history and the log</h3>
-          <div class="paragraph">
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>It is good practice (but not strictly necessary) to add relevant
-              details to the History and Log fields of a model before writing
-              it out. This will assist greatly in the future if it is required to
-              trace back the origins and history of a given
-              <code>n88model</code> file.
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The history and comments of an <code>n88model</code> file can be viewed
-              with the command</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>n88modelinfo --history --comments myfile.n88model</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>You can leave out the <code>--history</code> and <code>--comments</code> arguments, although
-              then you will get a lot more information about the model, possibly more
-              than you want.</p>
-          </div>
-          <div class="paragraph">
-            <p>The History field should have one line per executable that modifies the
-              model file. This line should start with a time/date stamp and briefly state
-              the program (and perhaps the user) which modified or created the file.
-              History can be added with the method <code>AppendHistory()</code>; the date/time
-              stamp will be automatically added. For example</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>model.AppendHistory("Created with screwpullout.py version 6.0")</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>The Log field is intended to record any other information that would
-              be useful to be able to recover at a later time. Every addition can be any number of lines long. You
-              should
-              record any parameters or settings that are relevant here. As for
-              <code>AppendHistory()</code>, <code>AppendLog()</code> will add a date/time stamp (although
-              on its own line). It will also ensure that every addition to the Log
-              is separated by a black line from other additions to Log, for ease in
-              reading it. For example
-            </p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>settingsText = ["Configuration:",
+</div>
+</div>
+<div class="paragraph">
+<p>Examples of setting post-processing parameters are given in the tutorials
+<a href="#cantilever_tutorial">Deflection of a cantilevered beam: adding custom boundary conditions and loads</a>
+and <a href="#screw_pullout_tutorial">Advanced custom model tutorial: a screw pull-out test</a>.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="filters_for_standard_tests">3.18. Filters for creating standard tests</h3>
+<div class="paragraph">
+<p>
+
+</p>
+</div>
+<div class="paragraph">
+<p>For each of the standard tests, namely the ones that <a href="#n88modelgenerator">n88modelgenerator</a>
+can generate, there is a filter to generate the test, complete with
+all displacement boundary conditions, applied forces, and relevant post-processing sets.
+Of course, it is easier to just simply use <a href="#n88modelgenerator">n88modelgenerator</a> for these
+cases rather than
+write a script. However, these filters provide more options than are
+exposed by <a href="#n88modelgenerator">n88modelgenerator</a>, and a script will allow you to access these
+options. Furthermore, sometimes a standard model is nearly, but not quite,
+what you want. In this case, the fastest way to proceed is to use a
+standard test generating filter, and then tweak the resulting model.</p>
+</div>
+<div class="paragraph">
+<p>All the standard test filters are subclasses of <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
+(see <a href="#creating_sets">Creating node and element sets</a>), so that they
+support variable orientation as defined by the Data Frame and the Test Frame,
+as well as having the standard sets defined (&#8220;face_z0&#8221;, etc&#8230;&#8203;)</p>
+</div>
+<div class="paragraph">
+<p>The following table lists the standard model filters.</p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 3. vtkbone filter classes that generate standard models</caption>
+<colgroup>
+<col style="width: 50%;">
+<col style="width: 50%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">vtkbone filter</th>
+<th class="tableblock halign-left valign-top">n88modelgenerator test types</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyCompressionTest.html">vtkboneApplyCompressionTest</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="#uniaxial_test">uniaxial</a>, <a href="#axial_test">axial</a> and
+  <a href="#confined_test">confined</a></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplySymmetricShearTest.html">vtkboneApplySymmetricShearTest</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="#symshear_test">symshear</a></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyDirectionalShearTest.html">vtkboneApplyDirectionalShearTest</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="#dshear_test">dshear</a></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyBendingTest.html">vtkboneApplyBendingTest</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="#bending_test">bending</a></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTorsionTest.html">vtkboneApplyTorsionTest</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="#torsion_test">torsion</a></p></td>
+</tr>
+</tbody>
+</table>
+<div class="paragraph">
+<p>For details on the options supported by these filters, refer to the API
+documentation.</p>
+</div>
+<div class="paragraph">
+<p>An example of using a standard test filter is given in the tutorial
+<a href="#cube_with_vtkbone_tutorial">Compressing a cube revisited using vtkbone</a>.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_modifying_a_finite_element_model">3.19. Modifying a finite element model</h3>
+<div class="paragraph">
+<p>Often a standard model type will be very close to the desired test configuration,
+but some modifications are needed. Every part of <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
+can be modified, or even deleted, after creation.
+There are in general too many possibilities to enumerate here.</p>
+</div>
+<div class="paragraph">
+<p>If a model is already written as an <code>n88model</code> file, it can be read with
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneN88ModelReader.html">vtkboneN88ModelReader</a> , modified, and rewritten.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_updating_the_history_and_the_log">3.20. Updating the history and the log</h3>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>It is good practice (but not strictly necessary) to add relevant
+details to the History and Log fields of a model before writing
+it out. This will assist greatly in the future if it is required to
+trace back the origins and history of a given
+<code>n88model</code> file.</p>
+</div>
+<div class="paragraph">
+<p>The history and comments of an <code>n88model</code> file can be viewed
+with the command</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelinfo --history --comments myfile.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>You can leave out the <code>--history</code> and <code>--comments</code> arguments, although
+then you will get a lot more information about the model, possibly more
+than you want.</p>
+</div>
+<div class="paragraph">
+<p>The History field should have one line per executable that modifies the
+model file. This line should start with a time/date stamp and briefly state
+the program (and perhaps the user) which modified or created the file.
+History can be added with the method <code>AppendHistory()</code>; the date/time
+stamp will be automatically added. For example</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>model.AppendHistory("Created with screwpullout.py version 6.0")</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>The Log field is intended to record any other information that would
+be useful to be able to recover at a later time. Every addition can be any number of lines long. You should
+record any parameters or settings that are relevant here. As for
+<code>AppendHistory()</code>, <code>AppendLog()</code> will add a date/time stamp (although
+on its own line). It will also ensure that every addition to the Log
+is separated by a black line from other additions to Log, for ease in
+reading it. For example</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>settingsText = ["Configuration:",
     "input file                     = %s" % input_image_file,
     "output file                    = %s" % output_faim_file,
     "bone material id               = %s" % bone_material_id,
@@ -6285,139 +3809,122 @@ <h3 id="_updating_the_history_and_the_log">3.20. Updating the history and the lo
     "bone constraint max depth      = %s" % bone_constraint_max_depth]
 
 model.AppendLog ("\n".join(settingsText)) <img src="./images/icons/callouts/1.png" alt="1"></pre>
-            </div>
-          </div>
-          <div class="colist arabic">
-            <table>
-              <tr>
-                <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                <td>This might look pretty weird if you&#8217;re not a Python guru. <code>settingsText</code>
-                  is a Python list of strings (each of one line). <code>"\n".join(settingsText)</code>
-                  joins them all into one long string, separated by line returns.</td>
-              </tr>
-            </table>
-          </div>
-          <div class="admonitionblock tip">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/tip.png" alt="Tip">
-                </td>
-                <td class="content">
-                  A particularly clever trick if your script uses a configuration file
-                  to set values, one which is used by <a href="#n88modelgenerator">n88modelgenerator</a>, and also
-                  used in the above example (which is from the
-                  <a href="#screw_pullout_tutorial">screw pull-out tutorial</a>), is to write the settings
-                  into the Comment field in exactly the same format that they
-                  appear in the configuration file. Then, if ever the data need to be
-                  exactly re-created for some reason, the settings can be copied from the
-                  Log and pasted directly into a new configuration file. The script can
-                  then be rerun with that configuration file without any further editing.
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>Examples of adding information to the history and to the log are given
-              in the tutorials
-              <a href="#cube_with_vtkbone_tutorial">Compressing a cube revisited using vtkbone</a>,
-              <a href="#cantilever_tutorial">Deflection of a cantilevered beam: adding custom boundary conditions and
-                loads</a>
-              and <a href="#screw_pullout_tutorial">Advanced custom model tutorial: a screw pull-out test</a>.
-            </p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_writing_a_model_file_for_input_to_the_solver">3.21. Writing a model file for input to the solver</h3>
-          <div class="paragraph">
-            <p>
-
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>When your <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-              is the way you like it, writing
-              a file is straightforward:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>writer = vtkbone.vtkboneN88ModelWriter()
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>This might look pretty weird if you&#8217;re not a Python guru. <code>settingsText</code>
+is a Python list of strings (each of one line). <code>"\n".join(settingsText)</code>
+joins them all into one long string, separated by line returns.</td>
+</tr>
+</table>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+A particularly clever trick if your script uses a configuration file
+to set values, one which is used by <a href="#n88modelgenerator">n88modelgenerator</a>, and also
+used in the above example (which is from the
+<a href="#screw_pullout_tutorial">screw pull-out tutorial</a>), is to write the settings
+into the Comment field in exactly the same format that they
+appear in the configuration file. Then, if ever the data need to be
+exactly re-created for some reason, the settings can be copied from the
+Log and pasted directly into a new configuration file. The script can
+then be rerun with that configuration file without any further editing.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Examples of adding information to the history and to the log are given
+in the tutorials
+<a href="#cube_with_vtkbone_tutorial">Compressing a cube revisited using vtkbone</a>,
+<a href="#cantilever_tutorial">Deflection of a cantilevered beam: adding custom boundary conditions and loads</a>
+and <a href="#screw_pullout_tutorial">Advanced custom model tutorial: a screw pull-out test</a>.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_writing_a_model_file_for_input_to_the_solver">3.21. Writing a model file for input to the solver</h3>
+<div class="paragraph">
+<p>
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>When your <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a> is the way you like it, writing
+a file is straightforward:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>writer = vtkbone.vtkboneN88ModelWriter()
 writer.SetInput (model)
 writer.SetFileName ("a_snazzy_model.n88model")
 writer.Update()</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>Other formats can also be written using the appropriate writer including,</p>
-          </div>
-          <div class="ulist">
-            <ul>
-              <li>
-                <p><a
-                    href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFaimVersion5InputWriter.html">vtkboneFaimVersion5InputWriter</a>
-                  , and</p>
-              </li>
-              <li>
-                <p><a
-                    href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneAbaqusInputWriter.html">vtkboneAbaqusInputWriter</a>
-                  .</p>
-              </li>
-            </ul>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_visualizing_intermediate_results">3.22. Visualizing intermediate results</h3>
-          <div class="paragraph">
-            <p>When developing a complicated model, it is often a good idea to write out
-              intermediate results that can be visualized. This can be done either by
-              writing out intermediate geometries and node sets using standard VTK
-              file format writers, such as <a
-                href="http://www.vtk.org/doc/release/6.3/html/classvtkXMLUnstructuredGridWriter.html">vtkXMLUnstructuredGridWriter</a>
-              and
-              <a href="http://www.vtk.org/doc/release/6.3/html/classvtkXMLPolyDataWriter.html">vtkXMLPolyDataWriter</a>
-              , or by writing the model with
-              <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneN88ModelWriter.html">vtkboneN88ModelWriter</a>
-              as early as possible as you build up your script,
-              before the model is complete. Even incomplete models can be visualized.
-              The tool <a href="#n88extractsets">n88extractsets</a> is handy to extract and visualize
-              node and element sets, as well as boundary conditions and applied loads.
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>For an example of visualizing intermediate results as the model is
-              built up, see
-              <a href="#screw_pullout_tutorial">Advanced custom model tutorial: a screw pull-out test</a>.
-            </p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_error_handling">3.23. Error handling</h3>
-          <div class="paragraph">
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>VTK classes do not throw exceptions or halt execution when an error occurs.
-              If
-              catching error conditions is important to you, you need to provide a VTK
-              observer class. For more information, refer to
-              <a href="http://www.vtk.org/Wiki/VTK/Tutorials/Callbacks"
-                class="bare">http://www.vtk.org/Wiki/VTK/Tutorials/Callbacks</a> . However, if you don&#8217;t
-              provide an error observer (and most often, you won&#8217;t want to be bothered to),
-              you will still be informed about error conditions by a message printed to
-              standard out (i.e. to the console). For scripting purposes, this is generally
-              adequate.
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>If you do want to trap the error, here is an example in Python.</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>class ErrorObserver:
+</div>
+</div>
+<div class="paragraph">
+<p>Other formats can also be written using the appropriate writer including,</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p><a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFaimVersion5InputWriter.html">vtkboneFaimVersion5InputWriter</a> , and</p>
+</li>
+<li>
+<p><a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneAbaqusInputWriter.html">vtkboneAbaqusInputWriter</a> .</p>
+</li>
+</ul>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_visualizing_intermediate_results">3.22. Visualizing intermediate results</h3>
+<div class="paragraph">
+<p>When developing a complicated model, it is often a good idea to write out
+intermediate results that can be visualized. This can be done either by
+writing out intermediate geometries and node sets using standard VTK
+file format writers, such as <a href="http://www.vtk.org/doc/release/6.3/html/classvtkXMLUnstructuredGridWriter.html">vtkXMLUnstructuredGridWriter</a> and
+<a href="http://www.vtk.org/doc/release/6.3/html/classvtkXMLPolyDataWriter.html">vtkXMLPolyDataWriter</a> , or by writing the model with
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneN88ModelWriter.html">vtkboneN88ModelWriter</a> as early as possible as you build up your script,
+before the model is complete. Even incomplete models can be visualized.
+The tool <a href="#n88extractsets">n88extractsets</a> is handy to extract and visualize
+node and element sets, as well as boundary conditions and applied loads.</p>
+</div>
+<div class="paragraph">
+<p>For an example of visualizing intermediate results as the model is
+built up, see
+<a href="#screw_pullout_tutorial">Advanced custom model tutorial: a screw pull-out test</a>.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_error_handling">3.23. Error handling</h3>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>VTK classes do not throw exceptions or halt execution when an error occurs.
+If
+catching error conditions is important to you, you need to provide a VTK
+observer class. For more information, refer to
+<a href="http://www.vtk.org/Wiki/VTK/Tutorials/Callbacks" class="bare">http://www.vtk.org/Wiki/VTK/Tutorials/Callbacks</a> . However, if you don&#8217;t
+provide an error observer (and most often, you won&#8217;t want to be bothered to),
+you will still be informed about error conditions by a message printed to
+standard out (i.e. to the console). For scripting purposes, this is generally
+adequate.</p>
+</div>
+<div class="paragraph">
+<p>If you do want to trap the error, here is an example in Python.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>class ErrorObserver:
    def __init__(self):
        self.__ErrorOccurred = False
        self.__ErrorMessage = None
@@ -6442,529 +3949,508 @@ <h3 id="_error_handling">3.23. Error handling</h3>
 if errorObserver.ErrorOccurred():
     print "ERROR reading file: ", errorObserver.ErrorMessage()
     sys.exit (-1)</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>vtkbone provides a very simple error observer class, <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneErrorWarningObserver.html">vtkboneErrorWarningObserver</a>
-              . Its use however is limited to
-              C++ code; use the above example for Python.</p>
-          </div>
-        </div>
-      </div>
-    </div>
-    <div class="sect1">
-      <h2 id="solving_linear_problems">4. Solving Linear Problems</h2>
-      <div class="sectionbody">
-        <div class="paragraph">
-          <p></p>
-        </div>
-        <div class="sect2">
-          <h3 id="using_n88solver_slt">4.1. Obtaining solutions to linear problems using n88solver_slt</h3>
-          <div class="paragraph">
-            <p>
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>For a model with only linear elastic materials, the solver can be run as follows</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>n88solver_slt myfile.n88model</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>In special cases, you may want to use <code>n88solver_sla</code> instead of <code>n88solver_slt</code>:
-              See <a href="#material_arrays">Efficient Handling of Large Numbers of Material Definitions</a>.
-              Everything in this section applies equally well to that solver.</p>
-          </div>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <div class="paragraph">
-            <p>The solution as expressed as displacements - from the original position - at node.
-              The displacements are written into the input file; no additional output
-              file is created. If the <code>n88model</code> file contains an existing solution, it
-              will be overwritten. Furthermore, if there is an existing solution, it will be used as a
-              starting point for the solver for further iterations. This behaviour is not always desired
-              and can be suppressed; see <a href="#n88solver_restart">restart</a> for details.</p>
-          </div>
-          <div class="admonitionblock tip">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/tip.png" alt="Tip">
-                </td>
-                <td class="content">
-                  <div class="paragraph">
-                    <p>To check whether an <code>n88model</code> file has already been solved, the
-                      following command is useful</p>
-                  </div>
-                  <div class="listingblock">
-                    <div class="content">
-                      <pre>n88modelinfo --history --solutions myfile.n88model</pre>
-                    </div>
-                  </div>
-                  <div class="paragraph">
-                    <p>See <a href="#n88modelinfo">n88modelinfo</a> for more details.</p>
-                  </div>
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>The complete list of arguments to <a href="#n88solver">n88solver</a> is given in the
-              <a href="#n88solver">Command Reference chapter</a>.
-            </p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_convergence">4.2. Convergence</h3>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <div class="paragraph">
-            <p><a href="#n88solver">n88solver_slt</a> is a pre-conditioned conjugate gradient solver which improves
-              the solution through an iterative process. Therefore it is necessary to define a
-              convergence criterion that defines when the solution is good enough, and the iterating can
-              stop.</p>
-          </div>
-          <div id="convergence_measure" class="paragraph">
-            <div class="title">Convergence measure</div>
-            <p></p>
-          </div>
-          <div class="paragraph">
-            <p><a href="#n88solver">n88solver_slt</a> provides the options to select from among different
-              <em>convergence measures</em>. See <a href="#n88solver_convergence_measure">convergence_measure</a>.
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The traditional convergence measure is the maximum change over all degrees of
-              freedom. We call this method <em>maximum du</em>. Mathmatically, for
-              the <em>i<sup>th</sup></em> iteration it is defined as</p>
-          </div>
-          <div class="stemblock">
-            <div class="content">
-              \[
-              e_i = \frac{max_j |x_{i,j}-x_{i-1,j}|}{max_j |x_{i-1,j}|}
-              \]
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>where <em>x<sub>i,j</sub></em> is the displacement of the <em>j<sup>th</sup></em> degree of freedom at
-              the
-              <em>i<sup>th</sup></em> iteration. The maximum is taken over all degrees of freedom.
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The difficulty with this convergence measure is that it is not clear what
-              numerical value of tolerance is optimal, as it is not obvious how it
-              relates to quantities that a user would be directly interesting in.
-              Although the convergence measure is unitless, there is in fact no consistent
-              relationship between <em>e<sub>i</sub></em> and the relative precision of quantities
-              such as displacement and force. Therefore the tolerance must be chosen
-              conservatively based on experience.</p>
-          </div>
-          <div class="paragraph">
-            <p>In version 8, we introduced a new convergence measure, which we
-              call a <em>convergence set</em>. Essentially, this is a parameter, <em>c</em>, equivalent directly
-              to a quantity of interest to the user. This parameter depends on the
-              model. For example for a compression test with fixed strain or displacement,
-              it would be equivalent to the reaction force on the top surface (more
-              precisely the top boundary condition). On the other hand, if you define
-              a compression test with a given force, in that case an appropriate parameter
-              <em>c</em> would be the average displacement of the top surface. The solver
-              continues iterations until the relative change in <em>c</em> from iteration to iteration
-              falls below a specified threshold:
-            </p>
-          </div>
-          <div class="stemblock">
-            <div class="content">
-              \[
-              e_i = \frac{|c_i-c_{i-1}|}{|c_{i-1}|}
-              \]
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>The choice of tolerance is now straight-forward: if you want to obtain a certain
-              relative precision in your calculated reaction force for example, let us say
-              one part in 10<sup>4</sup>,
-              then you allow a bit of a safety margin and chose for example a tolerance
-              of 10<sup>-5</sup>.</p>
-          </div>
-          <div class="paragraph">
-            <p>Clearly the difficulty is now in defining the quantity <em>c</em>. Fortunately,
-              the standard faim model generator tools, including <code>n88modelgenerator</code>
-              and <code>vtkbone</code> will define a suitable one for you. For the standard
-              tests, it is the complement of the most important moving boundary condition,
-              or most important applied force, as appropriate. By the <em>complement</em>, we mean
-              that <em>c</em> is calculated as a force in the case of a boundary condition; conversely it is calculated
-              as an average displacement in the case of an applied
-              force. The definition of <em>c</em> therefore consists of defining a <em>convergence
-                set</em>, which is some collection of degrees of freedom, together with some specification
-              of what is to be calculated over this collection of degrees of freedom.
-              It is exactly analogus to a constraint, which is internally how
-              boundary conditions and applied forces are stored in <code>n88model</code> files;
-              a <em>convergence set</em> is stored in a similar manner in an <code>n88model</code> file.
-              See <a href="#n88model_file_format">n88model File Format</a>. Clearly, in the case that
-              no convergence set is defined in the <code>n88model</code> file, the <code>convergence set</code>
-              method for determining convergence cannot be used. In this case, the solver
-              will fall back to the traditional <em>maximum du</em> method.</p>
-          </div>
-          <div class="paragraph">
-            <p>Regardless of the convergence measure chosen, the convergence measure does not decay
-              smoothly, but can be jumpy or noisy. Therefore, a convergence window is introduced,
-              so that iterations are not terminated prematurely by a randomly low
-              convergence measure value.
-              To be considered converged, the convergence measure <em>e<sub>i</sub></em> must remain
-              below the threshold for at least the specified number of consecutive iterations.
-              For the <em>maximum du</em> method, we have found by experience that a convergence window
-              of 3 is typically sufficient. For the <em>convergence set</em> method, because it
-              looks at only a part of the whole model, we have found that the convergence window
-              must be increased
-              as the number of degrees of freedom increases. Based on empirical analysis
-              of many models, we suggest the following formula for the convergence window</p>
-          </div>
-          <div class="stemblock">
-            <div class="content">
-              \[
-              w = 0.16 \sqrt{n}
-              \]
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>where <em>n</em> is the number of nodes in the model. This formula is in fact what the
-              solver will use if you don&#8217;t explicitly chose another value with the
-              parameter <a href="#n88solver_convergence_window">convergence_window</a>.</p>
-          </div>
-          <div class="paragraph">
-            <div class="title">Maximum iterations</div>
-            <p></p>
-          </div>
-          <div class="paragraph">
-            <p>In addition to the convergence criterion described above, a <em>maximum number of
-                iterations</em> can be set. This is useful for stopping the iterating if the
-              thresholds have been set too
-              low (<em>i.e.</em> too strictly). Sometimes we may want to stop and perform a more sophisticated
-              analysis of the quality of the solution before deciding if we want to
-              proceed with further iterations.</p>
-          </div>
-          <div class="paragraph">
-            <p>
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>Note that no matter how the solver terminated, we can re-launch it, possibly
-              with different convergence criteria. By default, the solver will use an
-              existing solution as the starting point and continue to refine it from
-              where it left off. Note however, that not all the numerical parameters of
-              the conjugate gradient method are stored in the <code>n88model</code> file. Therefore, stopping
-              and re-starting the solver does not result in precisely the same progression
-              of iterations as compared with simply letting the solver run uninterupted. Some
-              additional iterations are required to reconstruct the conjugate gradient
-              information.</p>
-          </div>
-          <div class="paragraph">
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>If you want to make a close investigation of the convergence of your model
-              as the solver iterates, you can make use of the <a href="#n88solver_iterations_file">iterations_file</a>
-              option to output all iteration data to
-              a file. It can be informative
-              to plot these data on a log-log graph (convergence measure <em>e<sub>i</sub></em> versus
-              iteration number <em>i</em>).</p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="evaluating_solution_quality">4.3. Evaluating solution quality</h3>
-          <div class="paragraph">
-            <p>
-
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>For a linear problem, the solver is solving a system equivalent to</p>
-          </div>
-          <div class="stemblock">
-            <div class="content">
-              \[
-              \mathbf{K} \mathbf{x} = \mathbf{f}
-              \]
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>where <strong>x</strong> are the displacements, <strong>f</strong> are the forces (including all the
-              internal
-              forces on each node), and <strong>K</strong> is a global
-              stiffness matrix. The solver never actually constructs
-              <strong>K</strong>; the memory requirements would be prohibitive, as <strong>K</strong> is a matrix
-              of size <em>N<sup>2</sup></em>, where <em>N</em> is the number of degrees of freedom. The
-              residuals are defined as
-            </p>
-          </div>
-          <div class="stemblock">
-            <div class="content">
-              \[
-              \mathbf{r} = \mathbf{K} \mathbf{x} - \mathbf{f}
-              \]
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>For the exact solution, the residual vector is identically zero. As we
-              are obtaining a numerical solution rather than an exact solution,
-              we cannot in practice obtain exactly zero-valued residuals. The remaining value of the
-              residuals is a good measure of the accuracy of the solution, with smaller
-              residuals indicating a closer match to the unobtainable perfect solution.</p>
-          </div>
-          <div class="paragraph">
-            <p>To answer the question, &#8220;What is a good value for the residuals?&#8221;, observe
-              that the residuals have units of force. We therefore need to compare with a
-              characteristic force in the system.</p>
-          </div>
-          <div class="paragraph">
-            <p>Numerics88 provides a tool, <a href="#n88evaluate">n88evaluate</a>, to evaluate a solution.
-              It is run like this</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>n88evaluate myfile.n88model</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>The output related to the residuals looks like this</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>Analysis of forces (residuals):
+</div>
+</div>
+<div class="paragraph">
+<p>vtkbone provides a very simple error observer class, <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneErrorWarningObserver.html">vtkboneErrorWarningObserver</a> . Its use however is limited to
+C++ code; use the above example for Python.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="sect1">
+<h2 id="solving_linear_problems">4. Solving Linear Problems</h2>
+<div class="sectionbody">
+<div class="paragraph">
+<p></p>
+</div>
+<div class="sect2">
+<h3 id="using_n88solver_slt">4.1. Obtaining solutions to linear problems using n88solver_slt</h3>
+<div class="paragraph">
+<p>
+
+</p>
+</div>
+<div class="paragraph">
+<p>For a model with only linear elastic materials, the solver can be run as follows</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88solver_slt myfile.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>In special cases, you may want to use <code>n88solver_sla</code> instead of <code>n88solver_slt</code>:
+See <a href="#material_arrays">Efficient Handling of Large Numbers of Material Definitions</a>.
+Everything in this section applies equally well to that solver.</p>
+</div>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>The solution as expressed as displacements - from the original position - at node.
+The displacements are written into the input file; no additional output
+file is created. If the <code>n88model</code> file contains an existing solution, it
+will be overwritten. Furthermore, if there is an existing solution, it will be used as a
+starting point for the solver for further iterations. This behaviour is not always desired
+and can be suppressed; see <a href="#n88solver_restart">restart</a> for details.</p>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>To check whether an <code>n88model</code> file has already been solved, the
+following command is useful</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelinfo --history --solutions myfile.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>See <a href="#n88modelinfo">n88modelinfo</a> for more details.</p>
+</div>
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>The complete list of arguments to <a href="#n88solver">n88solver</a> is given in the
+<a href="#n88solver">Command Reference chapter</a>.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_convergence">4.2. Convergence</h3>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p><a href="#n88solver">n88solver_slt</a> is a pre-conditioned conjugate gradient solver which improves
+the solution through an iterative process. Therefore it is necessary to define a
+convergence criterion that defines when the solution is good enough, and the iterating can
+stop.</p>
+</div>
+<div id="convergence_measure" class="paragraph">
+<div class="title">Convergence measure</div>
+<p></p>
+</div>
+<div class="paragraph">
+<p><a href="#n88solver">n88solver_slt</a> provides the options to select from among different
+<em>convergence measures</em>. See <a href="#n88solver_convergence_measure">convergence_measure</a>.</p>
+</div>
+<div class="paragraph">
+<p>The traditional convergence measure is the maximum change over all degrees of
+freedom. We call this method <em>maximum du</em>. Mathmatically, for
+the <em>i<sup>th</sup></em> iteration it is defined as</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+e_i = \frac{max_j |x_{i,j}-x_{i-1,j}|}{max_j |x_{i-1,j}|}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>where <em>x<sub>i,j</sub></em> is the displacement of the <em>j<sup>th</sup></em> degree of freedom at the
+<em>i<sup>th</sup></em> iteration. The maximum is taken over all degrees of freedom.</p>
+</div>
+<div class="paragraph">
+<p>The difficulty with this convergence measure is that it is not clear what
+numerical value of tolerance is optimal, as it is not obvious how it
+relates to quantities that a user would be directly interesting in.
+Although the convergence measure is unitless, there is in fact no consistent
+relationship between <em>e<sub>i</sub></em> and the relative precision of quantities
+such as displacement and force. Therefore the tolerance must be chosen
+conservatively based on experience.</p>
+</div>
+<div class="paragraph">
+<p>In version 8, we introduced a new convergence measure, which we
+call a <em>convergence set</em>. Essentially, this is a parameter, <em>c</em>, equivalent directly
+to a quantity of interest to the user. This parameter depends on the
+model. For example for a compression test with fixed strain or displacement,
+it would be equivalent to the reaction force on the top surface (more
+precisely the top boundary condition). On the other hand, if you define
+a compression test with a given force, in that case an appropriate parameter
+<em>c</em> would be the average displacement of the top surface. The solver
+continues iterations until the relative change in <em>c</em> from iteration to iteration
+falls below a specified threshold:</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+e_i = \frac{|c_i-c_{i-1}|}{|c_{i-1}|}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>The choice of tolerance is now straight-forward: if you want to obtain a certain
+relative precision in your calculated reaction force for example, let us say
+one part in 10<sup>4</sup>,
+then you allow a bit of a safety margin and chose for example a tolerance
+of 10<sup>-5</sup>.</p>
+</div>
+<div class="paragraph">
+<p>Clearly the difficulty is now in defining the quantity <em>c</em>. Fortunately,
+the standard faim model generator tools, including <code>n88modelgenerator</code>
+and <code>vtkbone</code> will define a suitable one for you. For the standard
+tests, it is the complement of the most important moving boundary condition,
+or most important applied force, as appropriate. By the <em>complement</em>, we mean
+that <em>c</em> is calculated as a force in the case of a boundary condition; conversely it is calculated as an average displacement in the case of an applied
+force. The definition of <em>c</em> therefore consists of defining a <em>convergence
+set</em>, which is some collection of degrees of freedom, together with some specification
+of what is to be calculated over this collection of degrees of freedom.
+It is exactly analogus to a constraint, which is internally how
+boundary conditions and applied forces are stored in <code>n88model</code> files;
+a <em>convergence set</em> is stored in a similar manner in an <code>n88model</code> file.
+See <a href="#n88model_file_format">n88model File Format</a>. Clearly, in the case that
+no convergence set is defined in the <code>n88model</code> file, the <code>convergence set</code>
+method for determining convergence cannot be used. In this case, the solver
+will fall back to the traditional <em>maximum du</em> method.</p>
+</div>
+<div class="paragraph">
+<p>Regardless of the convergence measure chosen, the convergence measure does not decay
+smoothly, but can be jumpy or noisy. Therefore, a convergence window is introduced,
+so that iterations are not terminated prematurely by a randomly low
+convergence measure value.
+To be considered converged, the convergence measure <em>e<sub>i</sub></em> must remain
+below the threshold for at least the specified number of consecutive iterations.
+For the <em>maximum du</em> method, we have found by experience that a convergence window
+of 3 is typically sufficient. For the <em>convergence set</em> method, because it
+looks at only a part of the whole model, we have found that the convergence window
+must be increased
+as the number of degrees of freedom increases. Based on empirical analysis
+of many models, we suggest the following formula for the convergence window</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+w = 0.16 \sqrt{n}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>where <em>n</em> is the number of nodes in the model. This formula is in fact what the
+solver will use if you don&#8217;t explicitly chose another value with the
+parameter <a href="#n88solver_convergence_window">convergence_window</a>.</p>
+</div>
+<div class="paragraph">
+<div class="title">Maximum iterations</div>
+<p></p>
+</div>
+<div class="paragraph">
+<p>In addition to the convergence criterion described above, a <em>maximum number of
+iterations</em> can be set. This is useful for stopping the iterating if the
+thresholds have been set too
+low (<em>i.e.</em> too strictly). Sometimes we may want to stop and perform a more sophisticated
+analysis of the quality of the solution before deciding if we want to
+proceed with further iterations.</p>
+</div>
+<div class="paragraph">
+<p>
+
+</p>
+</div>
+<div class="paragraph">
+<p>Note that no matter how the solver terminated, we can re-launch it, possibly
+with different convergence criteria. By default,  the solver will use an
+existing solution as the starting point and continue to refine it from
+where it left off. Note however, that not all the numerical parameters of
+the conjugate gradient method are stored in the <code>n88model</code> file. Therefore, stopping
+and re-starting the solver does not result in precisely the same progression
+of iterations as compared with simply letting the solver run uninterupted. Some
+additional iterations are required to reconstruct the conjugate gradient
+information.</p>
+</div>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>If you want to make a close investigation of the convergence of your model
+as the solver iterates, you can make use of the <a href="#n88solver_iterations_file">iterations_file</a> option to output all iteration data to
+a file. It can be informative
+to plot these data on a log-log graph (convergence measure <em>e<sub>i</sub></em> versus
+iteration number <em>i</em>).</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="evaluating_solution_quality">4.3. Evaluating solution quality</h3>
+<div class="paragraph">
+<p>
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>For a linear problem, the solver is solving a system equivalent to</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+\mathbf{K} \mathbf{x} = \mathbf{f}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>where <strong>x</strong> are the displacements, <strong>f</strong> are the forces (including all the internal
+forces on each node), and <strong>K</strong> is a global
+stiffness matrix. The solver never actually constructs
+<strong>K</strong>; the memory requirements would be prohibitive, as <strong>K</strong> is a matrix
+of size <em>N<sup>2</sup></em>, where <em>N</em> is the number of degrees of freedom. The
+residuals are defined as</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+\mathbf{r} = \mathbf{K} \mathbf{x} - \mathbf{f}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>For the exact solution, the residual vector is identically zero. As we
+are obtaining a numerical solution rather than an exact solution,
+we cannot in practice obtain exactly zero-valued residuals. The remaining value of the
+residuals is a good measure of the accuracy of the solution, with smaller
+residuals indicating a closer match to the unobtainable perfect solution.</p>
+</div>
+<div class="paragraph">
+<p>To answer the question, &#8220;What is a good value for the residuals?&#8221;, observe
+that the residuals have units of force. We therefore need to compare with a
+characteristic force in the system.</p>
+</div>
+<div class="paragraph">
+<p>Numerics88 provides a tool, <a href="#n88evaluate">n88evaluate</a>, to evaluate a solution.
+It is run like this</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88evaluate myfile.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>The output related to the residuals looks like this</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Analysis of forces (residuals):
     max err           : 3.00E-07
     rms err           : 3.15E-08
     max err/max force : 3.51E-06
     rms err/max force : 3.68E-07</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>The second two numbers are the maximum and RMS residuals, scaled to the maximum nodal
-              force in the solution. These values are a measure of the relative error.
-              Note that this error is only the mathematical error of the solution to the
-              stated system of equations. There are naturally other sources of error, such
-              as that due to the measurement and discretisation of the physical
-              object, and the error in determining the material properties of the
-              object. When the solver is working normally, these other sources of error
-              will be much larger than the remaining mathematical error in the
-              solution obtained by the solver.</p>
-          </div>
-          <div class="paragraph">
-            <p><code>n88evaluate</code> also performs a check that the boundary conditions are
-              indeed satisfied:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>Analysis of solution displacements at boundary conditions:
+</div>
+</div>
+<div class="paragraph">
+<p>The second two numbers are the maximum and RMS residuals, scaled to the maximum nodal
+force in the solution. These values are a measure of the relative error.
+Note that this error is only the mathematical error of the solution to the
+stated system of equations. There are naturally other sources of error, such
+as that due to the measurement and discretisation of the physical
+object, and the error in determining the material properties of the
+object. When the solver is working normally, these other sources of error
+will be much larger than the remaining mathematical error in the
+solution obtained by the solver.</p>
+</div>
+<div class="paragraph">
+<p><code>n88evaluate</code> also performs a check that the boundary conditions are
+indeed satisfied:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Analysis of solution displacements at boundary conditions:
     max err           : 0.00E+00
     rms err           : 0.00E+00</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>This is a trivial check: anything other than zero or very small values indicates
-              a problem with solver.</p>
-          </div>
-        </div>
-      </div>
-    </div>
-    <div class="sect1">
-      <h2 id="solving_nonlinear_problems">5. Solving Nonlinear Problems</h2>
-      <div class="sectionbody">
-        <div class="paragraph">
-          <p></p>
-        </div>
-        <div class="sect2">
-          <h3 id="using_n88solver_spt">5.1. Obtaining solutions to nonlinear problems with n88solver_spt</h3>
-          <div class="paragraph">
-            <p>
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>If you have defined plasticity for any materials used in your model, then you must
-              use the solver <a href="#n88solver">n88solver_spt</a>, which is a solver suitable for small-strain
-              elastoplastic models. This solver is invoked exactly as is <code>n88solver_slt</code>. It
-              recognizes a couple of additional options related to the plastic convergence. To solve an elastoplastic
-              model, the solver first obtains a linear elastic solution, and then performs a plastic
-              iteration to update the plastic strain. This is repeated until the plastic convergence
-              criterion is met. Thus linear solutions, consisting of many linear iterations, alternate
-              with single plastic iteration steps.</p>
-          </div>
-          <div class="admonitionblock note">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/note.png" alt="Note">
-                </td>
-                <td class="content">
-                  <div class="paragraph">
-                    <p>It is perfectly possible to run <code>n88solver_spt</code> on a model with only linear
-                      elastic material definitions. <code>n88solver_spt</code> takes no longer to run on a linear
-                      model than does <code>n88solver_slt</code>. However it does use more memory. Conversely,
-                      it is also possible to run <code>n88solver_slt</code> on a model
-                      containing elastoplastic material definitions. In this case, the plasticity is
-                      simply ignored, and the linear solution will be obtained.</p>
-                  </div>
-                </td>
-              </tr>
-            </table>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="elastoplastic_convergence">5.2. Convergence</h3>
-          <div class="paragraph">
-            <p>For elastoplastic problems, the default convergence measure remains the traditional
-              <code>dumax</code> method, instead of the new <code>convergence set</code> method. See <a
-                href="#convergence_measure">Convergence measure</a>.
-              The reason for this is that, not infrequently the addition of plasticity has only a
-              small effect on quantities like reaction force. In these cases, observing a quantity
-              such as the total reaction force to determine convergence does not work well
-              for the plastic iterations. Furthermore, when solving an elastoplastic problem,
-              we are more likely to be interested in quantities pertaining to the entire volume,
-              such as the number and location of yielded elements, rather than only quantities that are
-              calculated over just a boundary condition, such as reaction force. Recall that the
-              <code>dumax</code> convergence measure is calculated over all degrees of freedom, while
-              the <code>convergence set</code> convergence measure is typically calculated over a chosen
-              boundary condition.
-            </p>
-          </div>
-          <div class="admonitionblock tip">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/tip.png" alt="Tip">
-                </td>
-                <td class="content">
-                  <div class="paragraph">
-                    <p>As was the case for linear files, you can generate a file with all the iteration data
-                      using the option <a href="#n88solver_iterations_file">iterations_file</a>. For elastoplastic
-                      solutions, this file can be quite large. Here is a command to extract just the last linear
-                      iteration of every plastic iteration step, which often contains all the information
-                      we are looking for (<em>i.e.</em> the full plastic evolution, as well as the linear tolerance
-                      for each plastic iteration, and the number of linear iterations required at
-                      each plastic step).</p>
-                  </div>
-                  <div class="listingblock">
-                    <div class="content">
-                      <pre>awk '$2!=previous {print line; previous=$2}
+</div>
+</div>
+<div class="paragraph">
+<p>This is a trivial check: anything other than zero or very small values indicates
+a problem with solver.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="sect1">
+<h2 id="solving_nonlinear_problems">5. Solving Nonlinear Problems</h2>
+<div class="sectionbody">
+<div class="paragraph">
+<p></p>
+</div>
+<div class="sect2">
+<h3 id="using_n88solver_spt">5.1. Obtaining solutions to nonlinear problems with n88solver_spt</h3>
+<div class="paragraph">
+<p>
+
+</p>
+</div>
+<div class="paragraph">
+<p>If you have defined plasticity for any materials used in your model, then you must
+use the solver <a href="#n88solver">n88solver_spt</a>, which is a solver suitable for small-strain elastoplastic models. This solver is invoked exactly as is <code>n88solver_slt</code>. It
+recognizes a couple of additional options related to the plastic convergence. To solve an elastoplastic
+model, the solver first obtains a linear elastic solution, and then performs a plastic
+iteration to update the plastic strain. This is repeated until the plastic convergence
+criterion is met. Thus linear solutions, consisting of many linear iterations, alternate
+with single plastic iteration steps.</p>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>It is perfectly possible to run <code>n88solver_spt</code> on a model with only linear
+elastic material definitions. <code>n88solver_spt</code> takes no longer to run on a linear
+model than does <code>n88solver_slt</code>. However it does use more memory. Conversely,
+it is also possible to run <code>n88solver_slt</code> on a model
+containing elastoplastic material definitions. In this case, the plasticity is
+simply ignored, and the linear solution will be obtained.</p>
+</div>
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect2">
+<h3 id="elastoplastic_convergence">5.2. Convergence</h3>
+<div class="paragraph">
+<p>For elastoplastic problems, the default convergence measure remains the traditional
+<code>dumax</code> method, instead of the new <code>convergence set</code> method. See <a href="#convergence_measure">Convergence measure</a>.
+The reason for this is that, not infrequently the addition of plasticity has only a
+small effect on quantities like reaction force. In these cases, observing a quantity
+such as the total reaction force to determine convergence does not work well
+for the plastic iterations. Furthermore, when solving an elastoplastic problem,
+we are more likely to be interested in quantities pertaining to the entire volume,
+such as the number and location of yielded elements, rather than only quantities that are
+calculated over just a boundary condition, such as reaction force. Recall that the
+<code>dumax</code> convergence measure is calculated over all degrees of freedom, while
+the <code>convergence set</code> convergence measure is typically calculated over a chosen
+boundary condition.</p>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>As was the case for linear files, you can generate a file with all the iteration data
+using the option <a href="#n88solver_iterations_file">iterations_file</a>. For elastoplastic
+solutions, this file can be quite large. Here is a command to extract just the last linear
+iteration of every plastic iteration step, which often contains all the information
+we are looking for (<em>i.e.</em> the full plastic evolution, as well as the linear tolerance
+for each plastic iteration, and the number of linear iterations required at
+each plastic step).</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>awk '$2!=previous {print line; previous=$2}
      $2==previous {line = $0; previous=$2}' iterations.txt</pre>
-                    </div>
-                  </div>
-                  <div class="paragraph">
-                    <p>This command can be run in Linux and macOS, as well as in a Bash shell in Windows 10. In
-                      case you don&#8217;t have <code>awk</code>, here is a Python script that does the same thing</p>
-                  </div>
-                  <div class="listingblock">
-                    <div class="content">
-                      <pre>lines = open("iterations.txt").readlines()
+</div>
+</div>
+<div class="paragraph">
+<p>This command can be run in Linux and macOS, as well as in a Bash shell in Windows 10. In
+case you don&#8217;t have <code>awk</code>, here is a Python script that does the same thing</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>lines = open("iterations.txt").readlines()
 output = [p for (l,p) in zip(lines,[lines[0]] + lines[:-1]) if l.split()[1] != p.split()[1]]
 for o in output: print o,</pre>
-                    </div>
-                  </div>
-                </td>
-              </tr>
-            </table>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="nonlinear_progressive_loads">5.3. Obtaining accurate nonlinear solutions by progressively applying
-            loads</h3>
-          <div class="paragraph">
-            <p>In contrast to a linear elastic model, there is in general no single unique solution for a
-              given end-state of a system with elastoplastic characteristics. As discussed in
-              <a href="#plasticity">the section plasticity</a> in the chapter <em>Preparing Finite Element Models with
-                n88modelgenerator</em>, elastoplastic models exhibit irreversibility and hysteresis, and thus
-              have a path dependence. In other words, a dependence not only on the final state, but on
-              the history in obtaining the final state. For a real object, the history is the
-              time-dependence of the state, presumably starting from some initial neutral state. Within
-              the solver, it is not necessary (or possible) to account for a continuous time dependence
-              of the state: nevertheless even if we solve for a single end state of an elastoplastic
-              model, the solver necessarily traces a path in a mathematical space from some starting
-              point to the final solution. Just as for the real physical situation, this path in
-              mathematical space can affect the final solution.
-              Therefore, the most strictly correct approach to solving nonlinear elastoplastic problems is to
-              incrementally apply loads (or strains), starting with a solution at or near the elastic limit
-              (<em>i.e.</em> near the onset of nonlinear behaviour), and obtaining a complete solution at each load
-              increment, until the final state is obtained.
-              This is obviously more complicated than a single all-at-once solution, and also more
-              time-consuming. The question is, does this make any practical difference?
-              Frequently, for loads applied monotonically in a single direction,
-              the answer is no. Conversly, if your physical situation involves
-              increasing and decreasing a load, or changing the direction of
-              an applied load, then it is important to model this load history.
-              A tutorial
-              demonstrating the incremental application of a load to an elastoplastic problem
-              is <a href="#cantilever_elastoplastic_tutorial">A cantilevered beam with elastoplastic material
-                properties</a> .
-            </p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="evaluating_nonlinear_solution_quality">5.4. Evaluating nonlinear solution quality</h3>
-          <div class="paragraph">
-            <p>Evaluating the correctness of an elastoplastic solution is more subtle than
-              evaluating the correctness of a linear elastic model, for the simple reason
-              that, as mentioned in the previous section, there is no single unique solution
-              to an elastoplastic problem.</p>
-          </div>
-          <div class="paragraph">
-            <p>There are nevertheless some measures we can use. Internal forces must still balance,
-              and we can examine the residuals, as in
-              <a href="#evaluating_solution_quality">Evaluating solution quality</a> in the section on
-              linear models.
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>When examining the yield strain, there must be no unyielded elements for which a positive yield function
-              is calculated. Here is the check of that in <a href="#n88evaluate">n88evaluate</a>:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>Analysis of yield function F:
+</div>
+</div>
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect2">
+<h3 id="nonlinear_progressive_loads">5.3. Obtaining accurate nonlinear solutions by progressively applying loads</h3>
+<div class="paragraph">
+<p>In contrast to a linear elastic model, there is in general no single unique solution for a
+given end-state of a system with elastoplastic characteristics. As discussed in
+<a href="#plasticity">the section plasticity</a> in the chapter <em>Preparing Finite Element Models with
+n88modelgenerator</em>, elastoplastic models exhibit irreversibility and hysteresis, and thus
+have a path dependence. In other words, a dependence not only on the final state, but on
+the history in obtaining the final state. For a real object, the history is the
+time-dependence of the state, presumably starting from some initial neutral state. Within
+the solver, it is not necessary (or possible) to account for a continuous time dependence
+of the state: nevertheless even if we solve for a single end state of an elastoplastic
+model, the solver necessarily traces a path in a mathematical space from some starting
+point to the final solution. Just as for the real physical situation, this path in
+mathematical space can affect the final solution.
+Therefore, the most strictly correct approach to solving nonlinear elastoplastic problems is to
+incrementally apply loads (or strains), starting with a solution at or near the elastic limit (<em>i.e.</em> near the onset of nonlinear behaviour), and obtaining a complete solution at each load
+increment, until the final state is obtained.
+This is obviously more complicated than a single all-at-once solution, and also more
+time-consuming. The question is, does this make any practical difference?
+Frequently, for loads applied monotonically in a single direction,
+the answer is no. Conversly, if your physical situation involves
+increasing and decreasing a load, or changing the direction of
+an applied load, then it is important to model this load history.
+A tutorial
+demonstrating the incremental application of a load to an elastoplastic problem
+is <a href="#cantilever_elastoplastic_tutorial">A cantilevered beam with elastoplastic material properties</a> .</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="evaluating_nonlinear_solution_quality">5.4. Evaluating nonlinear solution quality</h3>
+<div class="paragraph">
+<p>Evaluating the correctness of an elastoplastic solution is more subtle than
+evaluating the correctness of a linear elastic model, for the simple reason
+that, as mentioned in the previous section, there is no single unique solution
+to an elastoplastic problem.</p>
+</div>
+<div class="paragraph">
+<p>There are nevertheless some measures we can use. Internal forces must still balance,
+and we can examine the residuals, as in
+<a href="#evaluating_solution_quality">Evaluating solution quality</a> in the section on
+linear models.</p>
+</div>
+<div class="paragraph">
+<p>When examining the yield strain, there must be no unyielded elements for which a positive yield function
+is calculated. Here is the check of that in <a href="#n88evaluate">n88evaluate</a>:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Analysis of yield function F:
     Unyielded elements with F&gt;0:
         count             : 0
         max F             : -
         rms F             : -
         max F/max stress  : -
         rms F/max stress  : -</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>Actually in rare cases, a small number of unyielded elements might have very
-              small positive values of yield function, but in this case, the values should
-              be very small indeed.</p>
-          </div>
-          <div class="paragraph">
-            <p>Secondly, one might expect all the yielded elements in the solution (<em>i.e.</em> those elements
-              with a nonzero plastic strain) to lie on the yield surface (<em>F</em>=0). In fact, this is not
-              necessarily the case. Even in an elastoplastic model carefully solved with incremental
-              applied test strain, it may happen that some elements reach the yield stress (<em>i.e.</em> the
-              yield surface) for some value of applied test strain, but then actually experience a
-              substantially reduced stress at a higher applied test strain, due to the mechanical failure or yield
-              of some other part of the model. Thus it is perfectly possible to have an end-state
-              solution in which some elements are observed to have non-zero plastic strains but are in a stress state
-              much
-              less than the yield stress (<em>i.e.</em> well inside the yield surface). More common though is
-              for yield elements to have a very small remnant positive yield function, which is
-              somewhat analogous to the residual in the linear case.</p>
-          </div>
-          <div class="paragraph">
-            <p>Values related to the yield function calculated for all yielded elements are reported by
-              <a href="#n88evaluate">n88evaluate</a>, as shown in this example:
-            </p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>Analysis of yield function F:
+</div>
+</div>
+<div class="paragraph">
+<p>Actually in rare cases, a small number of unyielded elements might have very
+small positive values of yield function, but in this case, the values should
+be very small indeed.</p>
+</div>
+<div class="paragraph">
+<p>Secondly, one might expect all the yielded elements in the solution (<em>i.e.</em> those elements
+with a nonzero plastic strain) to lie on the yield surface (<em>F</em>=0). In fact, this is not
+necessarily the case. Even in an elastoplastic model carefully solved with incremental
+applied test strain, it may happen that some elements reach the yield stress (<em>i.e.</em> the
+yield surface) for some value of applied test strain, but then actually experience a
+substantially reduced stress at a higher applied test strain, due to the mechanical failure or yield
+of some other part of the model. Thus it is perfectly possible to have an end-state
+solution in which some elements are observed to have non-zero plastic strains but are in a stress state much
+less than the yield stress (<em>i.e.</em> well inside the yield surface). More common though is
+for yield elements to have a very small remnant positive yield function, which is
+somewhat analogous to the residual in the linear case.</p>
+</div>
+<div class="paragraph">
+<p>Values related to the yield function calculated for all yielded elements are reported by
+<a href="#n88evaluate">n88evaluate</a>, as shown in this example:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Analysis of yield function F:
     Yielded elements:
         count             : 2058
         min F             : -1.85E+01
@@ -6973,322 +4459,305 @@ <h3 id="evaluating_nonlinear_solution_quality">5.4. Evaluating nonlinear solutio
         min F/max stress  : -2.12E-01
         max F/max stress  : 1.23E-06
         rms F/max stress  : 8.88E-02</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>In light of the above discussion, the important value is <code>max F/max stress</code>: it can
-              be used as a measure of the relative error of the plastic component
-              of the solution.</p>
-          </div>
-        </div>
-      </div>
-    </div>
-    <div class="sect1">
-      <h2 id="postprocessing">6. Post-Processing and Analysis</h2>
-      <div class="sectionbody">
-        <div class="sect2">
-          <h3 id="using_n88derivedfields">6.1. Calculating additional solution fields with n88derivedfields</h3>
-          <div class="paragraph">
-            <p>
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The fundamental solution from <a href="#n88solver">n88solver</a> are the displacements on each node.
-              However,
-              this is often not the only value of interest. Subsequently running
-              <a href="#n88derivedfields">n88derivedfields</a> on the <code>n88model</code> file will generate
-              additional
-              fields and add them to the active solution in the file.
-            </p>
-          </div>
-          <div class="admonitionblock tip">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/tip.png" alt="Tip">
-                </td>
-                <td class="content">
-                  <div class="paragraph">
-                    <p>To check which solution fields are present in a <code>n88model</code> file, run</p>
-                  </div>
-                  <div class="listingblock">
-                    <div class="content">
-                      <pre>n88modelinfo --solutions your_model.n88model</pre>
-                    </div>
-                  </div>
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>The following are the additional fields that will be added to the <code>n88model</code>
-              file by <a href="#n88derivedfields">n88derivedfields</a>.</p>
-          </div>
-          <div id="n88derivedfields_reaction_force" class="paragraph">
-            <div class="title">ReactionForce</div>
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The reaction force at each node, in the 3 coordinate directions
-              (<em>f<sub>x</sub></em>,<em>f<sub>y</sub></em>,<em>f<sub>z</sub></em>). For a linear problem the reaction
-              force
-              is given by</p>
-          </div>
-          <div class="stemblock">
-            <div class="content">
-              \[
-              \mathbf{f} = \mathbf{K} \mathbf{x}
-              \]
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>This is of course the same equation that the solver has solved, except that
-              now we use it with the solution values for <strong>x</strong> (the
-              displacements) to determine forces. If the solution is accurate, then the
-              forces will be nearly
-              all zero, except on degrees of freedom where a boundary condition
-              (displacement or applied force) applies. Those therefore are the interesting
-              values.</p>
-          </div>
-          <div id="n88derivedfields_strain" class="paragraph">
-            <div class="title">Strain</div>
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The strain at each element, given by &#949;<sub>xx</sub>,
-              &#949;<sub>yy</sub>, &#949;<sub>zz</sub>, &#947;<sub>yz</sub>, &#947;<sub>zx</sub>, &#947;<sub>xy</sub>,
-              where &#949;<sub>ii</sub> is the <em>engineering normal strain</em>
-              along the axis direction <em>i</em>, and the &#947;<sub>ij</sub>
-              are the <em>engineering shear strains</em>.</p>
-          </div>
-          <div class="paragraph">
-            <p>Note that the field <code>Strain</code> is always the total strain, so that for
-              elasto-plastic models, the elastic strain can be obtained by
-              subtracting <code>PlasticStrain</code> from <code>Strain</code>.</p>
-          </div>
-          <div id="n88derivedfields_plastic_strain" class="paragraph">
-            <div class="title">PlasticStrain</div>
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The plastic strain at each element. The plastic strain is the
-              irreversible strain that arises from further deformation once the
-              elastic limits as defined by the yield surface as been reached.
-              <code>PlasticStrain</code> has the same 6 components as <code>Strain</code>.
-            </p>
-          </div>
-          <div id="n88derivedfields_stress" class="paragraph">
-            <div class="title">Stress</div>
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The stress at each element, given by
-              &#963;<sub>xx</sub>, &#963;<sub>yy</sub>, &#963;<sub>zz</sub>, &#963;<sub>yz</sub>, &#963;<sub>zx</sub>,
-              &#963;<sub>xy</sub> .</p>
-          </div>
-          <div class="paragraph">
-            <p>Note that the stress can be obtained directly from the strain (and vice versa)
-              using the material properties. See
-              <a href="#elastic_material_properties">Elastic material properties</a>.
-            </p>
-          </div>
-          <div id="n88derivedfields_von_mises_stress" class="paragraph">
-            <div class="title">VonMisesStress</div>
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The von Mises stress is a scalar value that is frequently used as a
-              yield criterion. It is also used as a heuristic measure of the
-              &#8220;magnitude&#8221; of the stress at a point, for example for the purpose of
-              coloring a rendering according to stress concentration.
-              It is defined on each element by</p>
-          </div>
-          <div class="stemblock">
-            <div class="content">
-              \[
-              \sigma_\nu^2 = \frac{1}{2} \left ( (\sigma_{xx} - \sigma_{yy})^2 + (\sigma_{yy} - \sigma_{zz})^2 +
-              (\sigma_{zz} - \sigma_{xx})^2 \right ) + 3 \left ( \sigma_{yz}^2 + \sigma_{zx}^2 + \sigma_{xy}^2 \right )
-              \]
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>It can also be expressed more concisely as a norm of the devatoric stresses.
-              For details refer to any Mechanics of Solids textbook.</p>
-          </div>
-          <div id="n88derivedfields_strain_energy_density" class="paragraph">
-            <div class="title">StrainEnergyDensity</div>
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The strain energy density is given by</p>
-          </div>
-          <div class="stemblock">
-            <div class="content">
-              \[
-              U = \frac{1}{2} \, \left ( \sigma_{xx} \varepsilon_{xx} + \sigma_{yy} \varepsilon_{yy} + \sigma_{zz}
-              \varepsilon_{zz} + \sigma_{yz} \gamma_{yz} + \sigma_{zx} \gamma_{zx} + \sigma_{xy} \gamma_{xy} \right )
-              \]
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>This expression continues to be valid even for nonlinear elastoplastic
-              models, provided that the strain values are limited to the elastic strain
-              component.</p>
-          </div>
-          <div class="paragraph">
-            <p>In a finite element context, the strain energy density is a scalar value
-              defined on each element.</p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="extracting_fields">6.2. Exporting solution fields from the model file</h3>
-          <div class="paragraph">
-            <p>If <a href="#n88postfaim">n88postfaim</a>, which is described in the next section,
-              provides the values which are of interest to you, you will not need the
-              numerical data of the solution fields. In other cases, where you want do some custom post-processing on
-              the
-              solution, it will be necessary to obtain the solution fields as array data.
-              There are several options for obtaining the field data from an <code>n88model</code>
-              file:</p>
-          </div>
-          <div class="olist arabic">
-            <ol class="arabic">
-              <li>
-                <p>Use <a href="#n88extractfields">n88extractfields</a> to export fields to a text file.
-                  This is
-                  convenient because text files are easy to understand and easy to import.
-                  The trade off is that text files are inefficient in terms of disk space
-                  required, and relatively slow to write and read.</p>
-              </li>
-              <li>
-                <p>Use the <code>vtkbone</code> object <a
-                    href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneN88ModelReader.html">vtkboneN88ModelReader</a>
-                  . This requires
-                  writing some code in C++ or Python.</p>
-              </li>
-              <li>
-                <p>Import the data into third party software that can read NetCDF4 or HDF5.</p>
-              </li>
-            </ol>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="using_n88postfaim">6.3. Obtaining standard post-processing values with n88postfaim</h3>
-          <div class="paragraph">
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p><code>n88postfaim</code> is a tool performs a number of standard analyses
-              on a solved <code>n88model</code> file. It produces a text file output
-              reporting summarized results in a table format.</p>
-          </div>
-          <div class="sect3">
-            <h4 id="_running_n88postfaim">6.3.1. Running n88postfaim</h4>
-            <div class="paragraph">
-              <p><code>n88postfaim</code> requires that <a href="#n88derivedfields">n88derivedfields</a> has been
-                run on the solved <code>n88model</code> file because it makes use of the derived fields.
-                If any field is required for a particular table, but is not present in
-                the <code>n88model</code> file, <code>n88postfaim</code> will simply silently skip that table.</p>
-            </div>
-            <div class="paragraph">
-              <p>In the usual case, running <code>n88postfaim</code> is as simple as,</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88postfaim -o analysis.txt radius_slice82_bending.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>This will generate an output file <code>analysis.txt</code>. The output is a report of
-                values that are commonly of interest in finite element calculations.</p>
-            </div>
-            <div class="paragraph">
-              <p>The sections below will discuss a few important options that affect
-                the output of <code>n88postfaim</code>. For a complete list of arguments supported by
-                <code>n88postfaim</code>, see the <a href="#n88postfaim">Command Reference chapter</a>.
-              </p>
-            </div>
-            <div class="admonitionblock note">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/note.png" alt="Note">
-                  </td>
-                  <td class="content">
-                    <div class="paragraph">
-                      <p>The model <code>radius_slice82_bending.n88model</code>, which is used in
-                        examples below, can be generated from the data file <code>radius_slice82.aim</code>,
-                        with the following command:</p>
-                    </div>
-                    <div class="listingblock">
-                      <div class="content">
-                        <pre>n88modelgenerator --test=bending radius_slice82.aim</pre>
-                      </div>
-                    </div>
-                    <div class="paragraph">
-                      <p>This data file is provided for the <a href="#radius_slice_tutorial">radius
-                          compression tutorial</a>, but here we apply a bending test so that
-                        angular analysis quantities such as torques are defined. This model
-                        also has been segmented to have more than one material ID. In
-                        particular, ID 127 is used to identify cortical bone and
-                        ID 100 is used to identify cancellous bone.</p>
-                    </div>
-                    <div class="paragraph">
-                      <p>This applies to all tables except <a href="#n88postfaim_plastic_strain">Plastic Strain</a>,
-                        for which the flag <code>--plasticity=vonmises,40</code> was added to the
-                        <code>n88modelgenerator</code>
-                        arguments.
-                      </p>
-                    </div>
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="sect4">
-              <h5 id="analysis_sets">Specifying post-processing node and element sets</h5>
-              <div class="paragraph">
-                <p>
-
-                </p>
-              </div>
-              <div class="paragraph">
-                <p>Some of the quantities that <code>n88postfaim</code> reports are calculated with
-                  respect to defined node and/or element sets. For example, for a
-                  compression test, the forces on the top and bottom surfaces are of interest.
-                  If we define node and element sets corresponding to these surfaces,
-                  then <code>n88postfaim</code> will, amongst other things, calculate these forces for us.
-                  Post-processing node and element sets must be defined during
-                  the model generation stage.
-                  If you used <a href="#n88modelgenerator">n88modelgenerator</a>, some relevant node and
-                  element sets have automatically been defined. For custom models generated
-                  with <code>vtkbone</code> see
-                  <a href="#creating_sets">Creating node and element sets</a>.
-                </p>
-              </div>
-              <div class="paragraph">
-                <p>The available sets in an <code>n88model</code> file can be discovered with
-                  <a href="#n88modelinfo">n88modelinfo</a>. For example, the command
-                </p>
-              </div>
-              <div class="listingblock">
-                <div class="content">
-                  <pre>n88modelinfo --sets --element_sets radius_slice82_bending.n88model</pre>
-                </div>
-              </div>
-              <div class="paragraph">
-                <p>gives the following output:</p>
-              </div>
-              <div class="listingblock">
-                <div class="content">
-                  <pre>NodeSets:
+</div>
+</div>
+<div class="paragraph">
+<p>In light of the above discussion, the important value is <code>max F/max stress</code>: it can
+be used as a measure of the relative error of the plastic component
+of the solution.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="sect1">
+<h2 id="postprocessing">6. Post-Processing and Analysis</h2>
+<div class="sectionbody">
+<div class="sect2">
+<h3 id="using_n88derivedfields">6.1. Calculating additional solution fields with n88derivedfields</h3>
+<div class="paragraph">
+<p>
+
+</p>
+</div>
+<div class="paragraph">
+<p>The fundamental solution from <a href="#n88solver">n88solver</a> are the displacements on each node. However,
+this is often not the only value of interest. Subsequently running
+<a href="#n88derivedfields">n88derivedfields</a> on the <code>n88model</code> file will generate additional
+fields and add them to the active solution in the file.</p>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>To check which solution fields are present in a <code>n88model</code> file, run</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelinfo --solutions your_model.n88model</pre>
+</div>
+</div>
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>The following are the additional fields that will be added to the <code>n88model</code>
+file by <a href="#n88derivedfields">n88derivedfields</a>.</p>
+</div>
+<div id="n88derivedfields_reaction_force" class="paragraph">
+<div class="title">ReactionForce</div>
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>The reaction force at each node, in the 3 coordinate directions
+(<em>f<sub>x</sub></em>,<em>f<sub>y</sub></em>,<em>f<sub>z</sub></em>). For a linear problem the reaction force
+is given by</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+\mathbf{f} = \mathbf{K} \mathbf{x}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>This is of course the same equation that the solver has solved, except that
+now we use it with the solution values for <strong>x</strong> (the
+displacements) to determine forces. If the solution is accurate, then the
+forces will be nearly
+all zero, except on degrees of freedom where a boundary condition
+(displacement or applied force) applies. Those therefore are the interesting
+values.</p>
+</div>
+<div id="n88derivedfields_strain" class="paragraph">
+<div class="title">Strain</div>
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>The strain at each element, given by &#949;<sub>xx</sub>,
+&#949;<sub>yy</sub>, &#949;<sub>zz</sub>, &#947;<sub>yz</sub>, &#947;<sub>zx</sub>, &#947;<sub>xy</sub>,
+where &#949;<sub>ii</sub> is the <em>engineering normal strain</em>
+along the axis direction <em>i</em>, and the &#947;<sub>ij</sub>
+are the <em>engineering shear strains</em>.</p>
+</div>
+<div class="paragraph">
+<p>Note that the field <code>Strain</code> is always the total strain, so that for
+elasto-plastic models, the elastic strain can be obtained by
+subtracting <code>PlasticStrain</code> from <code>Strain</code>.</p>
+</div>
+<div id="n88derivedfields_plastic_strain" class="paragraph">
+<div class="title">PlasticStrain</div>
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>The plastic strain at each element. The plastic strain is the
+irreversible strain that arises from further deformation once the
+elastic limits as defined by the yield surface as been reached.
+<code>PlasticStrain</code> has the same 6 components as <code>Strain</code>.</p>
+</div>
+<div id="n88derivedfields_stress" class="paragraph">
+<div class="title">Stress</div>
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>The stress at each element, given by
+&#963;<sub>xx</sub>, &#963;<sub>yy</sub>, &#963;<sub>zz</sub>, &#963;<sub>yz</sub>, &#963;<sub>zx</sub>, &#963;<sub>xy</sub> .</p>
+</div>
+<div class="paragraph">
+<p>Note that the stress can be obtained directly from the strain (and vice versa)
+using the material properties. See
+<a href="#elastic_material_properties">Elastic material properties</a>.</p>
+</div>
+<div id="n88derivedfields_von_mises_stress" class="paragraph">
+<div class="title">VonMisesStress</div>
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>The von Mises stress is a scalar value that is frequently used as a
+yield criterion. It is also used as a heuristic measure of the
+&#8220;magnitude&#8221; of the stress at a point, for example for the purpose of
+coloring a rendering according to stress concentration.
+It is defined on each element by</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+\sigma_\nu^2 = \frac{1}{2} \left ( (\sigma_{xx} - \sigma_{yy})^2 + (\sigma_{yy} - \sigma_{zz})^2 + (\sigma_{zz} - \sigma_{xx})^2 \right ) + 3 \left ( \sigma_{yz}^2 + \sigma_{zx}^2 + \sigma_{xy}^2 \right )
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>It can also be expressed more concisely as a norm of the devatoric stresses.
+For details refer to any Mechanics of Solids textbook.</p>
+</div>
+<div id="n88derivedfields_strain_energy_density" class="paragraph">
+<div class="title">StrainEnergyDensity</div>
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>The strain energy density is given by</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+U = \frac{1}{2} \, \left ( \sigma_{xx} \varepsilon_{xx} + \sigma_{yy} \varepsilon_{yy} + \sigma_{zz} \varepsilon_{zz} + \sigma_{yz} \gamma_{yz} + \sigma_{zx} \gamma_{zx} +  \sigma_{xy} \gamma_{xy} \right )
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>This expression continues to be valid even for nonlinear elastoplastic
+models, provided that the strain values are limited to the elastic strain
+component.</p>
+</div>
+<div class="paragraph">
+<p>In a finite element context, the strain energy density is a scalar value
+defined on each element.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="extracting_fields">6.2. Exporting solution fields from the model file</h3>
+<div class="paragraph">
+<p>If <a href="#n88postfaim">n88postfaim</a>, which is described in the next section,
+provides the values which are of interest to you, you will not need the
+numerical data of the solution fields. In other cases, where you want do some custom post-processing on the
+solution, it will be necessary to obtain the solution fields as array data.
+There are several options for obtaining the field data from an <code>n88model</code>
+file:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>Use <a href="#n88extractfields">n88extractfields</a> to export fields to a text file.
+This is
+convenient because text files are easy to understand and easy to import.
+The trade off is that text files are inefficient in terms of disk space
+required, and relatively slow to write and read.</p>
+</li>
+<li>
+<p>Use the <code>vtkbone</code> object <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneN88ModelReader.html">vtkboneN88ModelReader</a> . This requires
+writing some code in C++ or Python.</p>
+</li>
+<li>
+<p>Import the data into third party software that can read NetCDF4 or HDF5.</p>
+</li>
+</ol>
+</div>
+</div>
+<div class="sect2">
+<h3 id="using_n88postfaim">6.3. Obtaining standard post-processing values with n88postfaim</h3>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p><code>n88postfaim</code> is a tool performs a number of standard analyses
+on a solved <code>n88model</code> file. It produces a text file output
+reporting summarized results in a table format.</p>
+</div>
+<div class="sect3">
+<h4 id="_running_n88postfaim">6.3.1. Running n88postfaim</h4>
+<div class="paragraph">
+<p><code>n88postfaim</code> requires that <a href="#n88derivedfields">n88derivedfields</a> has been
+run on the solved <code>n88model</code> file because it makes use of the derived fields.
+If any field is required for a particular table, but is not present in
+the <code>n88model</code> file, <code>n88postfaim</code> will simply silently skip that table.</p>
+</div>
+<div class="paragraph">
+<p>In the usual case, running <code>n88postfaim</code> is as simple as,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88postfaim -o analysis.txt radius_slice82_bending.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>This will generate an output file <code>analysis.txt</code>. The output is a report of
+values that are commonly of interest in finite element calculations.</p>
+</div>
+<div class="paragraph">
+<p>The sections below will discuss a few important options that affect
+the output of <code>n88postfaim</code>. For a complete list of arguments supported by
+<code>n88postfaim</code>, see the <a href="#n88postfaim">Command Reference chapter</a>.</p>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>The model <code>radius_slice82_bending.n88model</code>, which is used in
+examples below, can be generated from the data file <code>radius_slice82.aim</code>,
+with the following command:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelgenerator --test=bending radius_slice82.aim</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>This data file is provided for the <a href="#radius_slice_tutorial">radius
+compression tutorial</a>, but here we apply a bending test so that
+angular analysis quantities such as torques are defined. This model
+also has been segmented to have more than one material ID. In
+particular, ID 127 is used to identify cortical bone and
+ID 100 is used to identify cancellous bone.</p>
+</div>
+<div class="paragraph">
+<p>This applies to all tables except <a href="#n88postfaim_plastic_strain">Plastic Strain</a>,
+for which the flag <code>--plasticity=vonmises,40</code> was added to the <code>n88modelgenerator</code>
+arguments.</p>
+</div>
+</td>
+</tr>
+</table>
+</div>
+<div class="sect4">
+<h5 id="analysis_sets">Specifying post-processing node and element sets</h5>
+<div class="paragraph">
+<p>
+
+</p>
+</div>
+<div class="paragraph">
+<p>Some of the quantities that <code>n88postfaim</code> reports are calculated with
+respect to defined node and/or element sets. For example, for a
+compression test, the forces on the top and bottom surfaces are of interest.
+If we define node and element sets corresponding to these surfaces,
+then <code>n88postfaim</code> will, amongst other things, calculate these forces for us.
+Post-processing node and element sets must be defined during
+the model generation stage.
+If you used <a href="#n88modelgenerator">n88modelgenerator</a>, some relevant node and
+element sets have automatically been defined. For custom models generated
+with <code>vtkbone</code> see
+<a href="#creating_sets">Creating node and element sets</a>.</p>
+</div>
+<div class="paragraph">
+<p>The available sets in an <code>n88model</code> file can be discovered with
+<a href="#n88modelinfo">n88modelinfo</a>. For example, the command</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelinfo --sets --element_sets radius_slice82_bending.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>gives the following output:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>NodeSets:
 ----------------------------------------------------------------------
 
   Name : face_z0
@@ -7343,153 +4812,145 @@ <h5 id="analysis_sets">Specifying post-processing node and element sets</h5>
   Part : Part1
   NumberOfElements : 8
 ----------------------------------------------------------------------</pre>
-                </div>
-              </div>
-              <div class="paragraph">
-                <p>Given that the sets of interest have been generated and are present in
-                  the <code>n88model</code> file, we must tell <code>n88postfaim</code>
-                  which to actually use. Much of the time this is also done at the
-                  model generation stage. For models generated with <code>vtkbone</code>, see
-                  <a href="#setting_post_processing_parameters">Setting post-processing parameters</a>.
-                  <a href="#n88modelgenerator">n88modelgenerator</a> also writes a list of
-                  sets to use into the <code>n88model</code> file, but note that this list often
-                  does not encompass all of the available sets.
-                  For example, for any type of compression test, <a href="#n88modelgenerator">n88modelgenerator</a>
-                  will only list the top and bottom surface sets to be used for post-processing,
-                  although it generates node and element sets for all faces. In a <a href="#confined_test">confined
-                    test</a> the forces on the side
-                  faces are sometimes of interest, so this may be a case where the
-                  list of post-processing sets as generated by
-                  <a href="#n88modelgenerator">n88modelgenerator</a> is insufficient. <code>n88postfaim</code> has
-                  command line options that allow us to override the list of post-processing sets from the
-                  <code>n88model</code> file. Here an example:
-                </p>
-              </div>
-              <div class="listingblock">
-                <div class="content">
-                  <pre>n88postfaim --node_sets face_y0,face_y1 --element_sets face_y0,face_y1 -o analysis.txt radius_slice82_bending.n88model</pre>
-                </div>
-              </div>
-              <div class="paragraph">
-                <p>Note that for each node set, <code>n88postfaim</code> requires the corresponding element
-                  set. For example,
-                  for a set consisting of all the nodes on a surface, we also require the
-                  set of all
-                  elements on the surface. <code>n88modelgenerator</code> (and <code>vtkbone</code> objects
-                  which generate sets automatically)
-                  will generate sets such that the corresponding node and element sets have the
-                  same names. If this is the case, that we have matching node and element sets,
-                  then a simpler but equivalent version of the above example command is</p>
-              </div>
-              <div class="listingblock">
-                <div class="content">
-                  <pre>n88postfaim --sets face_y0,face_y1 -o analysis.txt radius_slice82_bending.n88model</pre>
-                </div>
-              </div>
-            </div>
-            <div class="sect4">
-              <h5 id="analysis_rotation_center">Specifying a rotation center</h5>
-              <div class="paragraph">
-                <p>
-
-
-                </p>
-              </div>
-              <div class="paragraph">
-                <p>Certain quantities, such as rotations and torques, are calculated relative
-                  to a reference point, or center. This reference point can be specified in
-                  a number of ways:</p>
-              </div>
-              <div class="olist arabic">
-                <ol class="arabic">
-                  <li>
-                    <p>For <a href="#bending_test">bending</a> and <a href="#torsion_test">torsion</a> tests,
-                      <a href="#n88modelgenerator">n88modelgenerator</a> will
-                      write a default rotation center into the <code>n88model</code> file, which will be
-                      located at the center of mass of the model.
-                    </p>
-                  </li>
-                  <li>
-                    <p><a href="#n88modelgenerator">n88modelgenerator</a> supports an argument
-                      <a href="#n88modelgenerator_central_axis">central_axis</a> that allows the
-                      reference point to be specified, as numerical coordinates or
-                      as the center of mass or the center of bounds.
-                      The reference value will be written to the
-                      <code>n88model</code> file. If specified, it overrides the above default.
-                    </p>
-                  </li>
-                  <li>
-                    <p><code>n88postfaim</code> supports an argument <a
-                        href="#n88postfaim_rotation_center">rotation_center</a>
-                      that can be used to specify the reference point. If specified,
-                      it overrides any value in the <code>n88model</code> file.</p>
-                  </li>
-                </ol>
-              </div>
-              <div class="paragraph">
-                <p>If the rotation point is not specified in one of these ways, then the
-                  corresponding analysis values and tables will not be calculated
-                  or reported. This simplifies the analysis output for models for
-                  which these values are typically not of interest
-                  (<em>e.g.</em> an axial compression test).</p>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="analysis_file_def">6.3.2. Description of output tables</h4>
-            <div class="paragraph">
-              <p>Below are listed the tables provided in the output of <code>n88postfaim</code>.</p>
-            </div>
-            <div class="paragraph">
-              <p>Note that not all values or tables are generated for every model. Angular
-                values are generated only if a rotation center is defined (see the above section),
-                while a break-down of values per material is only performed in the
-                case that more than one material is defined.</p>
-            </div>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="admonitionblock important">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/important.png" alt="Important">
-                  </td>
-                  <td class="content">
-                    <code>n88postfaim</code> knows nothing of the Test Frame coordinate system
-                    (see <a href="#test_orientation">Test Orientation</a>). All coordinate
-                    directions in the analysis file are in the original Data Frame coordinate
-                    system. An exception is that the names of the sets, as assigned
-                    by <code>n88modelgenerator</code> and listed in <a
-                      href="#sets_generated_by_vtkboneApplyTestBase">Node and element sets generated by
-                      vtkboneApplyTestBase</a>,
-                    are obtained from their orientation in the Test Frame.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="admonitionblock important">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/important.png" alt="Important">
-                  </td>
-                  <td class="content">
-                    The table numbering is not fixed. Tables are simply numbered
-                    sequentially at the time they are generated. You cannot rely on a certain
-                    table number consistently identifying a given table.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="sect4">
-              <h5 id="n88postfaim_model_input">Model Input</h5>
-              <div class="paragraph">
-                <p>This table lists general parameters of the model input.</p>
-              </div>
-              <div class="listingblock">
-                <div class="content">
-                  <pre>Table 1: Model Input
+</div>
+</div>
+<div class="paragraph">
+<p>Given that the sets of interest have been generated and are present in
+the <code>n88model</code> file, we must tell <code>n88postfaim</code>
+which to actually use. Much of the time this is also done at the
+model generation stage. For models generated with <code>vtkbone</code>, see
+<a href="#setting_post_processing_parameters">Setting post-processing parameters</a>.
+<a href="#n88modelgenerator">n88modelgenerator</a> also writes a list of
+sets to use into the <code>n88model</code> file, but note that this list often
+does not encompass all of the available sets.
+For example, for any type of compression test, <a href="#n88modelgenerator">n88modelgenerator</a>
+will only list the top and bottom surface sets to be used for post-processing,
+although it generates node and element sets for all faces. In a <a href="#confined_test">confined test</a> the forces on the side
+faces are sometimes of interest, so this may be a case where the
+list of post-processing sets as generated by
+<a href="#n88modelgenerator">n88modelgenerator</a> is insufficient. <code>n88postfaim</code> has
+command line options that allow us to override the list of post-processing sets from the <code>n88model</code> file. Here an example:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88postfaim --node_sets face_y0,face_y1 --element_sets face_y0,face_y1 -o analysis.txt radius_slice82_bending.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>Note that for each node set, <code>n88postfaim</code> requires the corresponding element
+set. For example,
+for a set consisting of all the nodes on a surface, we also require the
+set of all
+elements on the surface. <code>n88modelgenerator</code> (and <code>vtkbone</code> objects
+which generate sets automatically)
+will generate sets such that the corresponding node and element sets have the
+same names. If this is the case, that we have matching node and element sets,
+then a simpler but equivalent version of the above example command is</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88postfaim --sets face_y0,face_y1 -o analysis.txt radius_slice82_bending.n88model</pre>
+</div>
+</div>
+</div>
+<div class="sect4">
+<h5 id="analysis_rotation_center">Specifying a rotation center</h5>
+<div class="paragraph">
+<p>
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>Certain quantities, such as rotations and torques, are calculated relative
+to a reference point, or center. This reference point can be specified in
+a number of ways:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>For <a href="#bending_test">bending</a> and <a href="#torsion_test">torsion</a> tests,
+<a href="#n88modelgenerator">n88modelgenerator</a> will
+write a default rotation center into the <code>n88model</code> file, which will be
+located at the center of mass of the model.</p>
+</li>
+<li>
+<p><a href="#n88modelgenerator">n88modelgenerator</a> supports an argument
+<a href="#n88modelgenerator_central_axis">central_axis</a> that allows the
+reference point to be specified, as numerical coordinates or
+as the center of mass or the center of bounds.
+The reference value will be written to the
+<code>n88model</code> file. If specified, it overrides the above default.</p>
+</li>
+<li>
+<p><code>n88postfaim</code> supports an argument <a href="#n88postfaim_rotation_center">rotation_center</a>
+that can be used to specify the reference point. If specified,
+it overrides any value in the <code>n88model</code> file.</p>
+</li>
+</ol>
+</div>
+<div class="paragraph">
+<p>If the rotation point is not specified in one of these ways, then the
+corresponding analysis values and tables will not be calculated
+or reported. This simplifies the analysis output for models for
+which these values are typically not of interest
+(<em>e.g.</em> an axial compression test).</p>
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="analysis_file_def">6.3.2. Description of output tables</h4>
+<div class="paragraph">
+<p>Below are listed the tables provided in the output of <code>n88postfaim</code>.</p>
+</div>
+<div class="paragraph">
+<p>Note that not all values or tables are generated for every model. Angular
+values are generated only if a rotation center is defined (see the above section),
+while a break-down of values per material is only performed in the
+case that more than one material is defined.</p>
+</div>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="admonitionblock important">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/important.png" alt="Important">
+</td>
+<td class="content">
+<code>n88postfaim</code> knows nothing of the Test Frame coordinate system
+(see <a href="#test_orientation">Test Orientation</a>). All coordinate
+directions in the analysis file are in the original Data Frame coordinate
+system. An exception is that the names of the sets, as assigned
+by <code>n88modelgenerator</code> and listed in <a href="#sets_generated_by_vtkboneApplyTestBase">Node and element sets generated by vtkboneApplyTestBase</a>,
+are obtained from their orientation in the Test Frame.
+</td>
+</tr>
+</table>
+</div>
+<div class="admonitionblock important">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/important.png" alt="Important">
+</td>
+<td class="content">
+The table numbering is not fixed. Tables are simply numbered
+sequentially at the time they are generated. You cannot rely on a certain
+table number consistently identifying a given table.
+</td>
+</tr>
+</table>
+</div>
+<div class="sect4">
+<h5 id="n88postfaim_model_input">Model Input</h5>
+<div class="paragraph">
+<p>This table lists general parameters of the model input.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Table 1: Model Input
 ----------------------------------------------------------------------------
 Filename:                                    radius_slice82_bending.n88model
 Element dim X:                                                         0.082
@@ -7499,137 +4960,131 @@ <h5 id="n88postfaim_model_input">Model Input</h5>
 Number of nodes:                                                     3816642
 Number of nodes per element:                                               8
 Dimension of problem:                                                      3</pre>
-                </div>
-              </div>
-            </div>
-            <div class="sect4">
-              <h5 id="n88postfaim_materials">Materials</h5>
-              <div class="paragraph">
-                <p>
-                </p>
-              </div>
-              <div class="paragraph">
-                <p>The material definitions as assigned to each material ID are
-                  listed. In addition, a very brief summary of the material definition
-                  is provided, in particular the material type is shown, and a rough
-                  indication of the stiffness is given by the parameter <em>E<sub>ii_max</sub></em>.
-                  For an isotropic material, <em>E<sub>ii_max</sub></em> is the Youngs modulus <em>E</em>, while
-                  for an orthotropic material it is the maximum of <em>E<sub>xx</sub></em>, <em>E<sub>yy</sub></em>, and
-                  <em>E<sub>zz</sub></em> .
-                  In addition, the total number of elements in the model having each
-                  material ID are shown, giving a measure of the distribution of the materials.
-                </p>
-              </div>
-              <div class="listingblock">
-                <div class="content">
-                  <pre>Table 2: Materials
+</div>
+</div>
+</div>
+<div class="sect4">
+<h5 id="n88postfaim_materials">Materials</h5>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>The material definitions as assigned to each material ID are
+listed. In addition, a very brief summary of the material definition
+is provided, in particular the material type is shown, and a rough
+indication of the stiffness is given by the parameter <em>E<sub>ii_max</sub></em>.
+For an isotropic material, <em>E<sub>ii_max</sub></em> is the Youngs modulus <em>E</em>, while
+for an orthotropic material it is the maximum of <em>E<sub>xx</sub></em>, <em>E<sub>yy</sub></em>, and <em>E<sub>zz</sub></em> .
+In addition, the total number of elements in the model having each
+material ID are shown, giving a measure of the distribution of the materials.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Table 2: Materials
 ----------------------------------------------------------------------------
 Number of materials:                                                       2
 ----------------------------------------------------------------------------
    m     ID   Name                  Type                 E_ii_max   Elements
    1      100 NewMaterial1          LinearIsotropic        6829.0    1351375
    2      127 NewMaterial1          LinearIsotropic        6829.0    1316215</pre>
-                </div>
-              </div>
-              <div class="paragraph">
-                <p>Note that in this example, it happens that although we have two material IDs
-                  (defined during segmentation),
-                  they are both assigned to the same material definition.</p>
-              </div>
-              <div class="paragraph">
-                <p>The output will be somewhat different for <a href="#material_arrays">material arrays</a>,
-                  since material arrays correspond to a range of material IDs.
-                  Here is an example:</p>
-              </div>
-              <div class="listingblock">
-                <div class="content">
-                  <pre>Table 2: Materials
+</div>
+</div>
+<div class="paragraph">
+<p>Note that in this example, it happens that although we have two material IDs
+(defined during segmentation),
+they are both assigned to the same material definition.</p>
+</div>
+<div class="paragraph">
+<p>The output will be somewhat different for <a href="#material_arrays">material arrays</a>,
+since material arrays correspond to a range of material IDs.
+Here is an example:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Table 2: Materials
 ----------------------------------------------------------------------------
 Number of materials:                                                       1
 ----------------------------------------------------------------------------
    m     ID   Name                  Type                 E_ii_max   Elements
    1   1..127 NewMaterial1_homminga LinearIsotropic             -       7087</pre>
-                </div>
-              </div>
-              <div class="paragraph">
-                <p>Also, for any of the tables described below for which sub-tables
-                  for each material ID are generated, it is to be noted that
-                  all material IDs corresponding to a material array are grouped
-                  into a single subtable. This prevents the amount of output
-                  from becoming excessive.</p>
-              </div>
-              <div class="paragraph">
-                <p>If you require more details about the materials defined,
-                  we recommend that you use the
-                  <a href="#n88modelinfo">n88modelinfo</a> command. For example
-                </p>
-              </div>
-              <div class="listingblock">
-                <div class="content">
-                  <pre>n88modelinfo --materials radius_slice82_bending.n88model</pre>
-                </div>
-              </div>
-            </div>
-            <div class="sect4">
-              <h5 id="n88postfaim_postprocessing_sets">Post-processing sets</h5>
-              <div class="paragraph">
-                <p>The sets used by <code>n88postfaim</code> are reported. See
-                  <a href="#analysis_sets">Specifying post-processing node and element sets</a> .
-                </p>
-              </div>
-              <div class="listingblock">
-                <div class="content">
-                  <pre>Table 3: Post-processing Sets
+</div>
+</div>
+<div class="paragraph">
+<p>Also, for any of the tables described below for which sub-tables
+for each material ID are generated, it is to be noted that
+all material IDs corresponding to a material array are grouped
+into a single subtable. This prevents the amount of output
+from becoming excessive.</p>
+</div>
+<div class="paragraph">
+<p>If you require more details about the materials defined,
+we recommend that you use the
+<a href="#n88modelinfo">n88modelinfo</a> command. For example</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelinfo --materials radius_slice82_bending.n88model</pre>
+</div>
+</div>
+</div>
+<div class="sect4">
+<h5 id="n88postfaim_postprocessing_sets">Post-processing sets</h5>
+<div class="paragraph">
+<p>The sets used by <code>n88postfaim</code> are reported. See
+<a href="#analysis_sets">Specifying post-processing node and element sets</a> .</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Table 3: Post-processing Sets
 ----------------------------------------------------------------------------
 Number of sets:                                                            2
 ----------------------------------------------------------------------------
      n   Node set name              Nodes   Element set name        Elements
      1   face_z1                    25991   face_z1                    21210
      2   face_z0                    40032   face_z0                    28999</pre>
-                </div>
-              </div>
-            </div>
-            <div class="sect4">
-              <h5 id="n88postfaim_strain">Strain</h5>
-              <div class="paragraph">
-                <p></p>
-              </div>
-              <div class="paragraph">
-                <p>Statistics of the six strain components for each element,
-                  namely the three engineering normal strains
-                  <code>&#949;<sub>xx</sub></code>, <code>&#949;<sub>yy</sub></code>, <code>&#949;<sub>zz</sub></code>
-                  and the three engineering shear strains
-                  <code>&#947;<sub>yz</sub></code>, <code>&#947;<sub>zx</sub></code>, <code>&#947;<sub>xy</sub></code>
-                </p>
-              </div>
-              <div class="paragraph">
-                <p>For models with elastoplastic material definitions, the strain given here
-                  is the total strain (<em>i.e.</em> the sum of the elastic and plastic strains).</p>
-              </div>
-              <div class="paragraph">
-                <p>The strains are summarized in terms of statistical quantities, namely average, standard deviation,
-                  minimum
-                  and maximum, and skewness and kurtosis. The median strain, 5<sup>th</sup>,
-                  25<sup>th</sup>, 75<sup>th</sup> and 95<sup>th</sup> percentile strains are reported. Finally, the
-                  fraction of strains that are below zero (<em>i.e.</em> compressive strain) is
-                  reported in addition to the median and average strain of the negative
-                  (compressive) and positive (tensile) strain.</p>
-              </div>
-              <div class="paragraph">
-                <p>The summary of strains is provided for all elements in the model as well as
-                  being summarized for each specific material ID in the case of
-                  more than one defined material. In this example model,
-                  this provides a
-                  means of considering differences in the summary of strains in the cortex
-                  (<em>e.g.</em> material ID 127) separately from trabecular (<em>e.g.</em> material ID 100)
-                  bone.</p>
-              </div>
-              <div class="paragraph">
-                <p>Strain is dimensionless.</p>
-              </div>
-              <div class="listingblock">
-                <div class="content">
-                  <pre>Table 4: Strain
+</div>
+</div>
+</div>
+<div class="sect4">
+<h5 id="n88postfaim_strain">Strain</h5>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>Statistics of the six strain components for each element,
+namely the three engineering normal strains
+<code>&#949;<sub>xx</sub></code>, <code>&#949;<sub>yy</sub></code>, <code>&#949;<sub>zz</sub></code>
+and the three engineering shear strains
+<code>&#947;<sub>yz</sub></code>, <code>&#947;<sub>zx</sub></code>, <code>&#947;<sub>xy</sub></code></p>
+</div>
+<div class="paragraph">
+<p>For models with elastoplastic material definitions, the strain given here
+is the total strain (<em>i.e.</em> the sum of the elastic and plastic strains).</p>
+</div>
+<div class="paragraph">
+<p>The strains are summarized in terms of statistical quantities, namely average, standard deviation, minimum
+and maximum, and skewness and kurtosis. The median strain, 5<sup>th</sup>,
+25<sup>th</sup>, 75<sup>th</sup> and 95<sup>th</sup> percentile strains are reported. Finally, the
+fraction of strains that are below zero (<em>i.e.</em> compressive strain) is
+reported in addition to the median and average strain of the negative
+(compressive) and positive (tensile) strain.</p>
+</div>
+<div class="paragraph">
+<p>The summary of strains is provided for all elements in the model as well as
+being summarized for each specific material ID in the case of
+more than one defined material. In this example model,
+this provides a
+means of considering differences in the summary of strains in the cortex
+(<em>e.g.</em> material ID 127) separately from trabecular (<em>e.g.</em> material ID 100)
+bone.</p>
+</div>
+<div class="paragraph">
+<p>Strain is dimensionless.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Table 4: Strain
 ----------------------------------------------------------------------------
 m:                                                                       ALL
 Material ID:                                                             ALL
@@ -7670,34 +5125,32 @@ <h5 id="n88postfaim_strain">Strain</h5>
 skewness   -6.398E-01 -3.604E-02  4.942E-01 -8.592E-01 -1.007E+00  2.105E-01
 kurtosis   -2.316E-01  7.413E-01 -7.675E-01  4.422E+00  3.701E+00  4.171E+00
 median      1.376E-04  9.347E-05 -2.057E-03  6.242E-04 -4.044E-03 -9.920E-05</pre>
-                </div>
-              </div>
-              <div class="paragraph">
-                <p><em>Skewness</em> is a measure of the asymmetry of the distribution of element stresses.
-                  <em>Kurtosis</em> is a measure of the &#8220;peakedness&#8221; of the distribution of element
-                  stresses.
-                </p>
-              </div>
-            </div>
-            <div class="sect4">
-              <h5 id="n88postfaim_plastic_strain">Plastic Strain</h5>
-              <div class="paragraph">
-                <p></p>
-              </div>
-              <div class="paragraph">
-                <p>For models with elastoplastic material definitions, a table of plastic strain
-                  statistics is produced. To obtain the elastic strain, subtract the plastic
-                  strain from the total strain, given in the previous table.</p>
-              </div>
-              <div class="paragraph">
-                <p>The presentation of the plastic strain the same format as for the total strain.</p>
-              </div>
-              <div class="paragraph">
-                <p>Plastic strain is dimensionless.</p>
-              </div>
-              <div class="listingblock">
-                <div class="content">
-                  <pre>============================================================================
+</div>
+</div>
+<div class="paragraph">
+<p><em>Skewness</em> is a measure of the asymmetry of the distribution of element stresses.
+<em>Kurtosis</em> is a measure of the &#8220;peakedness&#8221; of the distribution of element stresses.</p>
+</div>
+</div>
+<div class="sect4">
+<h5 id="n88postfaim_plastic_strain">Plastic Strain</h5>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>For models with elastoplastic material definitions, a table of plastic strain
+statistics is produced. To obtain the elastic strain, subtract the plastic
+strain from the total strain, given in the previous table.</p>
+</div>
+<div class="paragraph">
+<p>The presentation of the plastic strain the same format as for the total strain.</p>
+</div>
+<div class="paragraph">
+<p>Plastic strain is dimensionless.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>============================================================================
 Table 5: Plastic Strain
 ----------------------------------------------------------------------------
 m:                                                                       ALL
@@ -7740,35 +5193,31 @@ <h5 id="n88postfaim_plastic_strain">Plastic Strain</h5>
 kurtosis    4.603E+00  8.276E+00  3.481E+00  6.679E+01  4.224E+01  1.604E+02
 median      0.000E+00  0.000E+00  0.000E+00  0.000E+00 -5.584E-04  0.000E+00
 ============================================================================</pre>
-                </div>
-              </div>
-            </div>
-            <div class="sect4">
-              <h5 id="n88postfaim_stress">Stress</h5>
-              <div class="paragraph">
-                <p></p>
-              </div>
-              <div class="paragraph">
-                <p>Statistics of the six stress components for each element, including the normal stresses
-                  (<code>&#963;<sub>xx</sub></code>, <code>&#963;<sub>yy</sub></code>, <code>&#963;<sub>zz</sub></code>)
-                  and shear
-                  stresses (<code>&#963;<sub>yz</sub></code>, <code>&#963;<sub>zx</sub></code>,
-                  <code>&#963;<sub>xy</sub></code>).
-                </p>
-              </div>
-              <div class="paragraph">
-                <p>The presentation of the stress follows the same format as
-                  described for the <a href="#n88postfaim_strain">Strain table</a>.</p>
-              </div>
-              <div class="paragraph">
-                <p>Units depend on inputs, but typically displacements are expressed in
-                  millimeters (mm), forces in newtons (N), and stresses in MPa. See
-                  <a href="#note_about_units">Note about units</a>.
-                </p>
-              </div>
-              <div class="listingblock">
-                <div class="content">
-                  <pre>Table 6: Stress
+</div>
+</div>
+</div>
+<div class="sect4">
+<h5 id="n88postfaim_stress">Stress</h5>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>Statistics of the six stress components for each element, including the normal stresses
+ (<code>&#963;<sub>xx</sub></code>, <code>&#963;<sub>yy</sub></code>, <code>&#963;<sub>zz</sub></code>) and shear
+stresses (<code>&#963;<sub>yz</sub></code>, <code>&#963;<sub>zx</sub></code>, <code>&#963;<sub>xy</sub></code>).</p>
+</div>
+<div class="paragraph">
+<p>The presentation of the stress follows the same format as
+described for the <a href="#n88postfaim_strain">Strain table</a>.</p>
+</div>
+<div class="paragraph">
+<p>Units depend on inputs, but typically displacements are expressed in
+millimeters (mm), forces in newtons (N), and stresses in MPa. See
+<a href="#note_about_units">Note about units</a>.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Table 6: Stress
 ----------------------------------------------------------------------------
 m:                                                                       ALL
 Material ID:                                                             ALL
@@ -7809,33 +5258,31 @@ <h5 id="n88postfaim_stress">Stress</h5>
 skewness   -5.163E-01  5.951E-01  4.757E-01 -8.592E-01 -1.007E+00  2.105E-01
 kurtosis    3.035E+00  1.604E+00 -7.415E-01  4.422E+00  3.701E+00  4.171E+00
 median     -3.882E+00 -2.612E+00 -1.698E+01  1.640E+00 -1.062E+01 -2.606E-01</pre>
-                </div>
-              </div>
-            </div>
-            <div class="sect4">
-              <h5 id="n88postfaim_strain_energy_density">Strain Energy Density</h5>
-              <div class="paragraph">
-                <p></p>
-              </div>
-              <div class="paragraph">
-                <p>Statistics on the strain energy density are reported. See <a
-                    href="#n88derivedfields_strain_energy_density">StrainEnergyDensity</a> in <a
-                    href="#n88derivedfields">n88derivedfields</a>
-                  for a definition of the strain energy density.</p>
-              </div>
-              <div class="paragraph">
-                <p>For models with elastoplastic material definitions, the strain energy density
-                  is the elastic strain energy density. (Plastic strain energy density is not
-                  well defined: the work done producing a given a plastic strain is mostly
-                  converted into heat energy and cannot be retreived again as mechanical work.)</p>
-              </div>
-              <div class="paragraph">
-                <p>The presentation of the strain energy density follows the same format as
-                  described for the <a href="#n88postfaim_strain">Strain table</a>.</p>
-              </div>
-              <div class="listingblock">
-                <div class="content">
-                  <pre>Table 7: Strain Energy Density
+</div>
+</div>
+</div>
+<div class="sect4">
+<h5 id="n88postfaim_strain_energy_density">Strain Energy Density</h5>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>Statistics on the strain energy density are reported. See <a href="#n88derivedfields_strain_energy_density">StrainEnergyDensity</a> in <a href="#n88derivedfields">n88derivedfields</a>
+for a definition of the strain energy density.</p>
+</div>
+<div class="paragraph">
+<p>For models with elastoplastic material definitions, the strain energy density
+is the elastic strain energy density. (Plastic strain energy density is not
+well defined: the work done producing a given a plastic strain is mostly
+converted into heat energy and cannot be retreived again as mechanical work.)</p>
+</div>
+<div class="paragraph">
+<p>The presentation of the strain energy density follows the same format as
+described for the <a href="#n88postfaim_strain">Strain table</a>.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Table 7: Strain Energy Density
 ----------------------------------------------------------------------------
 m:                                                                       ALL
 Material ID:                                                             ALL
@@ -7873,27 +5320,26 @@ <h5 id="n88postfaim_strain_energy_density">Strain Energy Density</h5>
 skewness    3.914E+00
 kurtosis    9.946E+01
 median      2.203E-01</pre>
-                </div>
-              </div>
-            </div>
-            <div class="sect4">
-              <h5 id="n88postfaim_von_mises_stress">Von Mises Stress</h5>
-              <div class="paragraph">
-                <p></p>
-              </div>
-              <div class="paragraph">
-                <p>Statistics on the von Mises stress are reported.
-                  See <a href="#n88derivedfields_von_mises_stress">VonMisesStress</a> in <a
-                    href="#n88derivedfields">n88derivedfields</a>
-                  for a definition of the von Mises stress.</p>
-              </div>
-              <div class="paragraph">
-                <p>The presentation of the von Mises stress follows the same format as
-                  for the <a href="#n88postfaim_strain">Strain table</a>.</p>
-              </div>
-              <div class="listingblock">
-                <div class="content">
-                  <pre>Table 8: Von Mises Stress
+</div>
+</div>
+</div>
+<div class="sect4">
+<h5 id="n88postfaim_von_mises_stress">Von Mises Stress</h5>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>Statistics on the von Mises stress are reported.
+See <a href="#n88derivedfields_von_mises_stress">VonMisesStress</a> in <a href="#n88derivedfields">n88derivedfields</a>
+for a definition of the von Mises stress.</p>
+</div>
+<div class="paragraph">
+<p>The presentation of the von Mises stress follows the same format as
+for the <a href="#n88postfaim_strain">Strain table</a>.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Table 8: Von Mises Stress
 ----------------------------------------------------------------------------
 m:                                                                       ALL
 Material ID:                                                             ALL
@@ -7931,30 +5377,28 @@ <h5 id="n88postfaim_von_mises_stress">Von Mises Stress</h5>
 skewness    4.575E-01
 kurtosis    1.077E-01
 median      5.081E+01</pre>
-                </div>
-              </div>
-            </div>
-            <div class="sect4">
-              <h5 id="n88postfaim_nodal_displacements">Nodal Displacements</h5>
-              <div class="paragraph">
-                <p></p>
-              </div>
-              <div class="paragraph">
-                <p>The three components of displacements (<code>u<sub>x</sub></code>,
-                  <code>u<sub>y</sub></code>, <code>u<sub>z</sub></code>) are reported. A sub-table is
-                  generated for each post-processing node set. Statistics of
-                  the displacements are reported over all the nodes of each
-                  set.
-                </p>
-              </div>
-              <div class="paragraph">
-                <p>Units are self-consistent, but are typically millimeters (mm). See
-                  <a href="#note_about_units">A note about units</a>.
-                </p>
-              </div>
-              <div class="listingblock">
-                <div class="content">
-                  <pre>Table 9: Nodal Displacements
+</div>
+</div>
+</div>
+<div class="sect4">
+<h5 id="n88postfaim_nodal_displacements">Nodal Displacements</h5>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>The three components of displacements (<code>u<sub>x</sub></code>,
+<code>u<sub>y</sub></code>, <code>u<sub>z</sub></code>) are reported. A sub-table is
+generated for each post-processing node set. Statistics of
+the displacements are reported over all the nodes of each
+set.</p>
+</div>
+<div class="paragraph">
+<p>Units are self-consistent, but are typically millimeters (mm). See
+<a href="#note_about_units">A note about units</a>.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Table 9: Nodal Displacements
 ----------------------------------------------------------------------------
 Node set:                                                                  1
 Name:                                                                face_z1
@@ -7975,29 +5419,26 @@ <h5 id="n88postfaim_nodal_displacements">Nodal Displacements</h5>
 minimum     0.000E+00  0.000E+00 -8.768E-02
 maximum     0.000E+00  0.000E+00  1.392E-01
 median      0.000E+00  0.000E+00  1.250E-02</pre>
-                </div>
-              </div>
-            </div>
-            <div class="sect4">
-              <h5 id="n88postfaim_nodal_forces">Nodal Forces</h5>
-              <div class="paragraph">
-                <p></p>
-              </div>
-              <div class="paragraph">
-                <p>The three components of force (<code>F<sub>x</sub></code>, <code>F<sub>y</sub></code>,
-                  <code>F<sub>z</sub></code>) are reported. A sub-table is
-                  generated for each post-processing element set. The forces
-                  are provided giving statistical values over all elements in the set.
-                </p>
-              </div>
-              <div class="paragraph">
-                <p>Units depend on inputs, but are typically Newtons (N). See
-                  <a href="#note_about_units">A note about units</a>.
-                </p>
-              </div>
-              <div class="listingblock">
-                <div class="content">
-                  <pre>Table 10: Nodal Forces
+</div>
+</div>
+</div>
+<div class="sect4">
+<h5 id="n88postfaim_nodal_forces">Nodal Forces</h5>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>The three components of force  (<code>F<sub>x</sub></code>, <code>F<sub>y</sub></code>, <code>F<sub>z</sub></code>) are reported. A sub-table is
+generated for each post-processing element set. The forces
+are provided giving statistical values over all elements in the set.</p>
+</div>
+<div class="paragraph">
+<p>Units depend on inputs, but are typically Newtons (N). See
+<a href="#note_about_units">A note about units</a>.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Table 10: Nodal Forces
 ----------------------------------------------------------------------------
 Node set:                                                                  1
 Name:                                                                face_z1
@@ -8020,63 +5461,59 @@ <h5 id="n88postfaim_nodal_forces">Nodal Forces</h5>
 minimum    -3.655E-01 -3.909E-01 -1.399E+00
 maximum     4.889E-01  3.679E-01  1.196E+00
 median      8.519E-04 -2.016E-03  3.913E-03</pre>
-                </div>
-              </div>
-            </div>
-            <div class="sect4">
-              <h5 id="n88postfaim_nodal_twist">Nodal Twist</h5>
-              <div class="paragraph">
-                <p></p>
-              </div>
-              <div class="paragraph">
-                <p>Similar to nodal displacements, statistics on the angular displacements
-                  for each node set are provided.</p>
-              </div>
-              <div class="paragraph">
-                <p>The angular displacements are defined as the projected angles between the
-                  vector to the initial location of the node and the vector to the displaced
-                  location of the node. The vectors are projected onto a plane perpendicular to
-                  the specified axis. This is shown in <a href="#projected_angle">Figure 14</a>, which defines
-                  <code>ROTx</code>. <code>p</code> is the initial position of the node, and <code>p'</code> is the
-                  displaced
-                  position of the node, as calculated by FE. These two vectors are projected
-                  onto the <em>y-z</em> plane, and the angle between them in this plane is defined as
-                  <code>ROTx</code>. <code>ROTy</code> and <code>ROTz</code> are similarly defined. Angular
-                  displacements are
-                  relative to the center of rotation; this is shown as <code>p<sub>0</sub></code> in
-                  <a href="#projected_angle">Figure 14</a>. See <a href="#analysis_rotation_center">specifying a
-                    rotation center</a>.
-                </p>
-              </div>
-              <div id="projected_angle" class="imageblock">
-                <div class="content">
-                  <img src="images/projected_angle.png" alt="projected angle">
-                </div>
-                <div class="title">Figure 14. Definition of projected angle ROTx</div>
-              </div>
-              <div class="admonitionblock note">
-                <table>
-                  <tr>
-                    <td class="icon">
-                      <img src="./images/icons/note.png" alt="Note">
-                    </td>
-                    <td class="content">
-                      <code>ROTx</code>, <code>ROTy</code>, <code>ROTz</code> do not form a set of Euler angles.
-                    </td>
-                  </tr>
-                </table>
-              </div>
-              <div class="paragraph">
-                <p>Nodes that are within an exclusion radius (default value 10<sup>-6</sup>) of the rotation center
-                  are excluded from the calculation, as the angular displacement of a node at the
-                  rotation center (initial or final position) is not defined.</p>
-              </div>
-              <div class="paragraph">
-                <p>Units are radians (rad).</p>
-              </div>
-              <div class="listingblock">
-                <div class="content">
-                  <pre>Table 11: Nodal Twist
+</div>
+</div>
+</div>
+<div class="sect4">
+<h5 id="n88postfaim_nodal_twist">Nodal Twist</h5>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>Similar to nodal displacements, statistics on the angular displacements
+for each node set are provided.</p>
+</div>
+<div class="paragraph">
+<p>The angular displacements are defined as the projected angles between the
+vector to the initial location of the node and the vector to the displaced
+location of the node. The vectors are projected onto a plane perpendicular to
+the specified axis. This is shown in <a href="#projected_angle">Figure 14</a>, which defines
+<code>ROTx</code>. <code>p</code> is the initial position of the node, and <code>p'</code> is the displaced
+position of the node, as calculated by FE. These two vectors are projected
+onto the <em>y-z</em> plane, and the angle between them in this plane is defined as
+<code>ROTx</code>. <code>ROTy</code> and <code>ROTz</code> are similarly defined. Angular displacements are
+relative to the center of rotation; this is shown as <code>p<sub>0</sub></code> in
+<a href="#projected_angle">Figure 14</a>. See <a href="#analysis_rotation_center">specifying a rotation center</a>.</p>
+</div>
+<div id="projected_angle" class="imageblock">
+<div class="content">
+<img src="images/projected_angle.png" alt="projected angle">
+</div>
+<div class="title">Figure 14. Definition of projected angle ROTx</div>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+<code>ROTx</code>, <code>ROTy</code>, <code>ROTz</code> do not form a set of Euler angles.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Nodes that are within an exclusion radius (default value 10<sup>-6</sup>) of the rotation center
+are excluded from the calculation, as the angular displacement of a node at the
+rotation center (initial or final position) is not defined.</p>
+</div>
+<div class="paragraph">
+<p>Units are radians (rad).</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Table 11: Nodal Twist
 ----------------------------------------------------------------------------
 Twist measured relative to:                              66.049 54.985 4.510
 Exclusion radius:                                                    1.0E-06
@@ -8102,28 +5539,28 @@ <h5 id="n88postfaim_nodal_twist">Nodal Twist</h5>
 minimum    -1.014E-02  6.411E-07  0.000E+00
 maximum     9.126E-03  8.099E-03  0.000E+00
 median     -3.388E-04  4.688E-03  0.000E+00</pre>
-                </div>
-              </div>
-            </div>
-            <div class="sect4">
-              <h5 id="n88postfaim_nodal_torques">Nodal Torques</h5>
-              <div class="paragraph">
-                <p></p>
-              </div>
-              <div class="paragraph">
-                <p>Similar to nodal twist, statistics on the the nodal torques for each node set are reported.</p>
-              </div>
-              <div class="paragraph">
-                <p>As with the nodal twist results, torques are calculated relative to a
-                  reference point. See <a href="#analysis_rotation_center">specifying a rotation center</a>.</p>
-              </div>
-              <div class="paragraph">
-                <p>Units depend on inputs, but are typically in newton-millimeters (Nmm).
-                  See <a href="#note_about_units">Note about units</a>.</p>
-              </div>
-              <div class="listingblock">
-                <div class="content">
-                  <pre>Table 12: Nodal Torques
+</div>
+</div>
+</div>
+<div class="sect4">
+<h5 id="n88postfaim_nodal_torques">Nodal Torques</h5>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>Similar to nodal twist, statistics on the the nodal torques for each node set are reported.</p>
+</div>
+<div class="paragraph">
+<p>As with the nodal twist results, torques are calculated relative to a
+reference point. See <a href="#analysis_rotation_center">specifying a rotation center</a>.</p>
+</div>
+<div class="paragraph">
+<p>Units depend on inputs, but are typically in newton-millimeters (Nmm).
+See <a href="#note_about_units">Note about units</a>.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Table 12: Nodal Torques
 ----------------------------------------------------------------------------
 Torque measured relative to:                             66.049 54.985 4.510
 ----------------------------------------------------------------------------
@@ -8148,42 +5585,38 @@ <h5 id="n88postfaim_nodal_torques">Nodal Torques</h5>
 minimum    -1.111E+01 -3.944E+00 -3.920E+00
 maximum     7.102E+00  1.176E+01  5.743E+00
 median     -4.530E-03  3.083E-01 -2.374E-03</pre>
-                </div>
-              </div>
-            </div>
-            <div class="sect4">
-              <h5 id="n88postfaim_load_sharing">Load Sharing</h5>
-              <div class="paragraph">
-                <p></p>
-              </div>
-              <div class="paragraph">
-                <p>A calculation of the fraction of the load carried by each material ID is
-                  provided, based on the nodal forces in each associated node set.</p>
-              </div>
-              <div class="paragraph">
-                <p>The portion of total load on the node set
-                  is reported for each material in terms of nodal forces (<em>F<sub>x</sub></em>,
-                  <em>F<sub>y</sub></em>, <em>F<sub>z</sub></em>).
-                  Nodal torques (<em>T<sub>x</sub></em>, <em>T<sub>y</sub></em>, <em>T<sub>z</sub></em>) are also
-                  reported if a center of rotation
-                  is defined. See <a href="#analysis_rotation_center">specifying a rotation center</a>.
-                  The total
-                  forces and torques are also reported, and it should be noted that are the same as
-                  reported in <a href="#n88postfaim_nodal_forces">Nodal Forces</a> and <a
-                    href="#n88postfaim_nodal_torques">Nodal Torques</a>
-                </p>
-              </div>
-              <div class="paragraph">
-                <p>The method used to determine the loads carried by each material requires
-                  identifying the nodes belonging to each material. Since material definitions
-                  are based on elements, some nodes are shared by more than one
-                  material. In these cases, the
-                  forces and torques associated with the node are proportionally assigned to
-                  each material definition.</p>
-              </div>
-              <div class="listingblock">
-                <div class="content">
-                  <pre>Table 13: Load Sharing
+</div>
+</div>
+</div>
+<div class="sect4">
+<h5 id="n88postfaim_load_sharing">Load Sharing</h5>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>A calculation of the fraction of the load carried by each material ID is
+provided, based on the nodal forces in each associated node set.</p>
+</div>
+<div class="paragraph">
+<p>The portion of total load on the node set
+is reported for each material in terms of nodal forces (<em>F<sub>x</sub></em>, <em>F<sub>y</sub></em>, <em>F<sub>z</sub></em>).
+Nodal torques (<em>T<sub>x</sub></em>, <em>T<sub>y</sub></em>, <em>T<sub>z</sub></em>) are also reported if a center of rotation
+is defined. See <a href="#analysis_rotation_center">specifying a rotation center</a>.
+The total
+forces and torques are also reported, and it should be noted that are the same as
+reported in <a href="#n88postfaim_nodal_forces">Nodal Forces</a> and <a href="#n88postfaim_nodal_torques">Nodal Torques</a></p>
+</div>
+<div class="paragraph">
+<p>The method used to determine the loads carried by each material requires
+identifying the nodes belonging to each material. Since material definitions
+are based on elements, some nodes are shared by more than one
+material. In these cases, the
+forces and torques associated with the node are proportionally assigned to
+each material definition.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Table 13: Load Sharing
 ----------------------------------------------------------------------------
 Torque measured relative to:                          66.0487 54.9845 4.5100
 ----------------------------------------------------------------------------
@@ -8216,271 +5649,251 @@ <h5 id="n88postfaim_load_sharing">Load Sharing</h5>
                        127 -6.4737E+03  2.1242E+04  1.6599E+03
                 ----------  ----------  ----------  ----------
                      total -1.0939E+04  3.6823E+04  1.7959E+03</pre>
-                </div>
-              </div>
-              <div class="colist arabic">
-                <table>
-                  <tr>
-                    <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                    <td>Represents the total force attributed to material definition 127 (cortical
-                      bone in this model).</td>
-                  </tr>
-                  <tr>
-                    <td><img src="./images/icons/callouts/2.png" alt="2"></td>
-                    <td>This result is the same as the total <code>F<sub>z</sub></code> in
-                      <a href="#n88postfaim_nodal_forces">Nodal Forces</a>.
-                    </td>
-                  </tr>
-                </table>
-              </div>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="tabulate_analysis">6.4. Tabulating results from analysis files</h3>
-          <div class="paragraph">
-            <p>The analysis file generated by <a href="#n88postfaim">n88postfaim</a> is intended to be human-readable.
-              If you run several
-              similar models, it is common to want to tabulate certain numerical results in
-              spreadsheet format. It is possible, but tiresome, to open the analysis
-              file for each solved model individually and manually search for the desired
-              numbers.
-              To make this process more efficient, we provide the tool
-              <a href="#n88tabulate">n88tabulate</a>. See <a href="#n88tabulate">n88tabulate</a>. This tool extracts
-              certain specified values from any number of analysis files and collates
-              them into a tabular format suitable for importing into a spreadsheet.
-            </p>
-          </div>
-        </div>
-      </div>
-    </div>
-    <div class="sect1">
-      <h2 id="tutorials">7. Tutorials</h2>
-      <div class="sectionbody">
-        <div class="paragraph">
-          <p>This chapter presents a number of tutorials to help you learn the
-            Faim finite element tools.</p>
-        </div>
-        <div class="paragraph">
-          <p>A zip file containing the data files used for the tutorials, as well as
-            the tutorial scripts, can be downloaded from <a href="http://numerics88.com/n88/downloads/"
-              class="bare">http://numerics88.com/n88/downloads/</a> .</p>
-        </div>
-        <div class="paragraph">
-          <p>The first series of tutorials introduces
-            the standard work flow for Faim, where standard models as generated by
-            <a href="#n88modelgenerator">n88modelgenerator</a> are desired. These
-            tutorials are:
-          </p>
-        </div>
-        <div class="olist arabic">
-          <ol class="arabic">
-            <li>
-              <p><a href="#cube_tutorial">An introductory tutorial: compressing a solid cube</a></p>
-            </li>
-            <li>
-              <p><a href="#radius_slice_tutorial">Compression test of a radius bone slice</a></p>
-            </li>
-            <li>
-              <p><a href="#radius_bending_tutorial">Bending test of a radius bone with an uneven surface</a></p>
-            </li>
-          </ol>
-        </div>
-        <div class="paragraph">
-          <p>These are intended to be followed in order, as each one builds on the
-            previous.</p>
-        </div>
-        <div class="paragraph">
-          <p>Following these introductory tutorials is a series dealing with more advanced topics.</p>
-        </div>
-        <div class="paragraph">
-          <p>There is a tutorial that introduces models with nonlinear elasto-plastic material properties.</p>
-        </div>
-        <div class="olist arabic">
-          <ol class="arabic">
-            <li>
-              <p><a href="#radius_bending_elastoplastic_tutorial">Bending of a radius bone with elasto-plastic material
-                  properties.</a></p>
-            </li>
-          </ol>
-        </div>
-        <div class="paragraph">
-          <p>Then there are a series of tutorials which present the building of custom models using
-            <code>vtkbone</code>. This series is intended only for those who find
-            <a href="#n88modelgenerator">n88modelgenerator</a> insufficiently flexible for their needs. The tutorials
-            in this series are:
-          </p>
-        </div>
-        <div class="olist arabic">
-          <ol class="arabic">
-            <li>
-              <p><a href="#cube_with_vtkbone_tutorial">Compressing a cube revisited using vtkbone</a></p>
-            </li>
-            <li>
-              <p><a href="#cantilever_tutorial">Deflection of a cantilevered beam; adding custom boundary conditions and
-                  loads</a></p>
-            </li>
-            <li>
-              <p><a href="#cantilever_elastoplastic_tutorial">A cantilevered beam with elastoplastic material
-                  properties</a></p>
-            </li>
-            <li>
-              <p><a href="#screw_pullout_tutorial">Advanced custom model tutorial: a screw pull-out test</a></p>
-            </li>
-            <li>
-              <p><a href="#longitudinal_fe_with_vtkbone_tutorial">Radius compression with transformed boundary
-                  conditions for longitudinal bone strength estimates</a></p>
-            </li>
-          </ol>
-        </div>
-        <div class="paragraph">
-          <p>Finally, some <a href="#additional_examples">additional examples</a> are provided
-            with the distribution. These are not described in the manual, but demonstrate addition concepts or
-            functionality.</p>
-        </div>
-        <div class="sect2">
-          <h3 id="cube_tutorial">7.1. Introductory tutorial: Compressing a solid cube</h3>
-          <div class="paragraph">
-            <p>We start with a very simple example, where we compress a uniform
-              homogenous cube. This tutorial will demonstrate:</p>
-          </div>
-          <div class="ulist">
-            <ul>
-              <li>
-                <p>How to use the standard test generator <code>n88modelgenerator</code> to generate a
-                  finite element model suitable for input to the solver.</p>
-              </li>
-              <li>
-                <p>How to solve the model.</p>
-              </li>
-              <li>
-                <p>How to use ParaView to visualize the model and the solution.</p>
-              </li>
-              <li>
-                <p>How to identify key values in the analysis file.</p>
-              </li>
-            </ul>
-          </div>
-          <div class="paragraph">
-            <p>The data file is <code>cube6x6x6.vti</code>. It can be found in the <code>data</code> folder of
-              the the tutorial zip file available for download from <a href="http://numerics88.com/n88/downloads/"
-                class="bare">http://numerics88.com/n88/downloads/</a> .
-              We recommend that you copy it to a temporary working
-              directory for this tutorial.</p>
-          </div>
-          <div class="paragraph">
-            <p>You can examine this data file, which we will be using as input, with
-              ParaView. To do this, open ParaView
-              and select the menu item <span class="menuseq"><b class="menu">File</b>&#160;<b class="caret">&#8250;</b>
-                <b class="menuitem">Open</b></span>, and navigate to the location
-              of <code>cube6x6x6.vti</code>. You will notice that after selecting the file and
-              clicking <b class="button">OK</b>, nothing is displayed, although the file name now appears in
-              the <em>Pipeline Browser</em>. This is typical for ParaView, and allows options
-              relevant to the source to be modified before the data is actually loaded.
-              In this case, there are no options we are concerned with, so we can go ahead and click
-              <b class="button">Apply</b> (on the Properties tab of the Pipeline browser) to actually
-              load the data. At first, only a wire-frame cube will be displayed, which
-              shows the extents of the image data. To actually inspect the data, we
-              are going to change the drop-down list on the toolbar that currently displays
-              <em>Outline</em> to <em>Points</em>. This results in a display of a number of points
-              in space, as shown in <a href="#cube6_points">Figure 15</a>.
-            </p>
-          </div>
-          <div id="cube6_points" class="imageblock">
-            <div class="content">
-              <img src="images/cube6_points.png" alt="cube6 points">
-            </div>
-            <div class="title">Figure 15. Points view of 6x6x6 cube.</div>
-          </div>
-          <div class="paragraph">
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>If you&#8217;re alert, you&#8217;ll notice that in fact there are 7&#215;7&#215;7
-              points. This is due to the fact that the actual data for this data file
-              is associated with the <em>Cells</em>, to use VTK terminology, rather than the
-              <em>Points</em>. The points shown are therefore in this case the corners of the cells. To make
-              this clear, change the view again from <em>Points</em> to <em>Surface with Edges</em>.
-              This will now look like <a href="#cube6_surface">Figure 16</a>. (Click and drag in the image
-              window of ParaView to rotate the object - experiment with both the right
-              and left mouse buttons, and also while holding down any of the Shift, Control and Alt keys). We are going
-              to create
-              a finite element model where every <em>Cell</em>, or small constituent cube
-              from <a href="#cube6_surface">Figure 16</a> will become one element in the finite element model.
-            </p>
-          </div>
-          <div id="cube6_surface" class="imageblock">
-            <div class="content">
-              <img src="images/cube6_surface.png" alt="cube6 surface">
-            </div>
-            <div class="title">Figure 16. Surface with edges view of 6x6x6 cube.</div>
-          </div>
-          <div class="paragraph">
-            <p>For a simulated test, we are going to apply a compression test using <code>n88modelgenerator</code> to
-              this data file. There are a
-              number of different standard compression tests, as described in
-              <a href="#standard_tests">Standard Tests</a>. Here we are going to use the <a href="#axial_test">axial</a>
-              variation. In an axial compression
-              test, the sides are unconstrained and the top and bottom surfaces constrained
-              laterally, as if they experience a high contact friction with the
-              imaginary surfaces applying the compression.
-            </p>
-          </div>
-          <div class="sect3">
-            <h4 id="_generating_the_model">7.1.1. Generating the model</h4>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="paragraph">
-              <p>The first step is to open a Terminal (on Windows a Command Prompt or PowerShell).
-                Make sure both that the Faim is on the Path, as described in <a href="#how_to_run">How to run the
-                  solvers</a>,
-                and also that you have activated the Anaconda python environment for <code>n88tools</code>,
-                as described in <a href="#install_n88tools">Install n88tools and vtkbone</a>.</p>
-            </div>
-            <div class="admonitionblock important">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/important.png" alt="Important">
-                  </td>
-                  <td class="content">
-                    If you close the terminal part way through this tutorial, and
-                    then pick it up again later by opening a new terminal, you will have to
-                    re-set the environment variables and re-activate the conda environment.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Assuming that you have copied the data file <code>cube6x6x6.vti</code> to your current
-                working directory, the command to generate the model is</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88modelgenerator --test=axial cube6x6x6.vti</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Since we haven&#8217;t specified otherwise, <code>n88modelgenerator</code> will select all
-                default parameters, including default material properties (homogeneous
-                material with isotropic Young&#8217;s modulus of 6829 MPa and Poisson&#8217;s ratio 0.3),
-                and a displacement,
-                applied to the top surface in the <em>z</em> direction, numerically equivalent to
-                an apparent level strain of -0.01 (the minus indicates compressive strain).
-                Refer to <a href="#n88modelgenerator">the section on
-                  n88modelgenerator</a> for details on setting parameters differently if you wish
-                to do so.</p>
-            </div>
-            <div class="paragraph">
-              <p>Here is the output when we run it:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88modelgenerator Version 10.0
-Copyright (c) 2010-2025, Numerics88 Solutions Ltd.
-Licensed to Numerics88 Solutions Ltd.; lic. no. 91
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>Represents the total force attributed to material definition 127 (cortical
+bone in this model).</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/2.png" alt="2"></td>
+<td>This result is the same as the total <code>F<sub>z</sub></code> in
+<a href="#n88postfaim_nodal_forces">Nodal Forces</a>.</td>
+</tr>
+</table>
+</div>
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="tabulate_analysis">6.4. Tabulating results from analysis files</h3>
+<div class="paragraph">
+<p>The analysis file generated by <a href="#n88postfaim">n88postfaim</a> is intended to be human-readable. If you run several
+similar models, it is common to want to tabulate certain numerical results in
+spreadsheet format. It is possible, but tiresome, to open the analysis
+file for each solved model individually and manually search for the desired
+numbers.
+To make this process more efficient, we provide the tool
+<a href="#n88tabulate">n88tabulate</a>. See <a href="#n88tabulate">n88tabulate</a>. This tool extracts
+certain specified values from any number of analysis files and collates
+them into a tabular format suitable for importing into a spreadsheet.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="sect1">
+<h2 id="tutorials">7. Tutorials</h2>
+<div class="sectionbody">
+<div class="paragraph">
+<p>This chapter presents a number of tutorials to help you learn the
+Faim finite element tools.</p>
+</div>
+<div class="paragraph">
+<p>A zip file containing the data files used for the tutorials, as well as
+the tutorial scripts, can be downloaded from <a href="http://numerics88.com/n88/downloads/" class="bare">http://numerics88.com/n88/downloads/</a> .</p>
+</div>
+<div class="paragraph">
+<p>The first series of tutorials introduces
+the standard work flow for Faim, where standard models as generated by
+<a href="#n88modelgenerator">n88modelgenerator</a> are desired.  These
+tutorials are:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p><a href="#cube_tutorial">An introductory tutorial: compressing a solid cube</a></p>
+</li>
+<li>
+<p><a href="#radius_slice_tutorial">Compression test of a radius bone slice</a></p>
+</li>
+<li>
+<p><a href="#radius_bending_tutorial">Bending test of a radius bone with an uneven surface</a></p>
+</li>
+</ol>
+</div>
+<div class="paragraph">
+<p>These are intended to be followed in order, as each one builds on the
+previous.</p>
+</div>
+<div class="paragraph">
+<p>Following these introductory tutorials is a series dealing with more advanced topics.</p>
+</div>
+<div class="paragraph">
+<p>There is a tutorial that introduces models with nonlinear elasto-plastic material properties.</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p><a href="#radius_bending_elastoplastic_tutorial">Bending of a radius bone with elasto-plastic material properties.</a></p>
+</li>
+</ol>
+</div>
+<div class="paragraph">
+<p>Then there are a series of tutorials which present the building of custom models using <code>vtkbone</code>.  This series is intended only for those who find
+<a href="#n88modelgenerator">n88modelgenerator</a> insufficiently flexible for their needs.  The tutorials
+in this series are:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p><a href="#cube_with_vtkbone_tutorial">Compressing a cube revisited using vtkbone</a></p>
+</li>
+<li>
+<p><a href="#cantilever_tutorial">Deflection of a cantilevered beam; adding custom boundary conditions and loads</a></p>
+</li>
+<li>
+<p><a href="#cantilever_elastoplastic_tutorial">A cantilevered beam with elastoplastic material properties</a></p>
+</li>
+<li>
+<p><a href="#screw_pullout_tutorial">Advanced custom model tutorial: a screw pull-out test</a></p>
+</li>
+<li>
+<p><a href="#longitudinal_fe_with_vtkbone_tutorial">Radius compression with transformed boundary conditions for longitudinal bone strength estimates</a></p>
+</li>
+</ol>
+</div>
+<div class="paragraph">
+<p>Finally, some <a href="#additional_examples">additional examples</a> are provided
+with the distribution.  These are not described in the manual, but demonstrate addition concepts or functionality.</p>
+</div>
+<div class="sect2">
+<h3 id="cube_tutorial">7.1. Introductory tutorial: Compressing a solid cube</h3>
+<div class="paragraph">
+<p>We start with a very simple example, where we compress a uniform
+homogenous cube. This tutorial will demonstrate:</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p>How to use the standard test generator <code>n88modelgenerator</code> to generate a
+finite element model suitable for input to the solver.</p>
+</li>
+<li>
+<p>How to solve the model.</p>
+</li>
+<li>
+<p>How to use ParaView to visualize the model and the solution.</p>
+</li>
+<li>
+<p>How to identify key values in the analysis file.</p>
+</li>
+</ul>
+</div>
+<div class="paragraph">
+<p>The data file is <code>cube6x6x6.vti</code>. It can be found in the <code>data</code> folder of
+the the tutorial zip file available for download from <a href="http://numerics88.com/n88/downloads/" class="bare">http://numerics88.com/n88/downloads/</a> .
+We recommend that you copy it to a temporary working
+directory for this tutorial.</p>
+</div>
+<div class="paragraph">
+<p>You can examine this data file, which we will be using as input, with
+ParaView. To do this, open ParaView
+and select the menu item <span class="menuseq"><b class="menu">File</b>&#160;<b class="caret">&#8250;</b> <b class="menuitem">Open</b></span>, and navigate to the location
+of <code>cube6x6x6.vti</code>. You will notice that after selecting the file and
+clicking <b class="button">OK</b>, nothing is displayed, although the file name now appears in
+the <em>Pipeline Browser</em>. This is typical for ParaView, and allows options
+relevant to the source to be modified before the data is actually loaded.
+In this case, there are no options we are concerned with, so we can go ahead and click
+<b class="button">Apply</b> (on the Properties tab of the Pipeline browser) to actually
+load the data. At first, only a wire-frame cube will be displayed, which
+shows the extents of the image data. To actually inspect the data, we
+are going to change the drop-down list on the toolbar that currently displays
+<em>Outline</em> to <em>Points</em>. This results in a display of a number of points
+in space, as shown in <a href="#cube6_points">Figure 15</a>.</p>
+</div>
+<div id="cube6_points" class="imageblock">
+<div class="content">
+<img src="images/cube6_points.png" alt="cube6 points">
+</div>
+<div class="title">Figure 15. Points view of 6x6x6 cube.</div>
+</div>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>If you&#8217;re alert, you&#8217;ll notice that in fact there are 7&#215;7&#215;7
+points. This is due to the fact that the actual data for this data file
+is associated with the <em>Cells</em>, to use VTK terminology, rather than the
+<em>Points</em>. The points shown are therefore in this case the corners of the cells. To make
+this clear, change the view again from <em>Points</em> to <em>Surface with Edges</em>.
+This will now look like <a href="#cube6_surface">Figure 16</a>. (Click and drag in the image
+window of ParaView to rotate the object - experiment with both the right
+and left mouse buttons, and also while holding down any of the Shift, Control and Alt keys). We are going to create
+a finite element model where every <em>Cell</em>, or small constituent cube
+from <a href="#cube6_surface">Figure 16</a> will become one element in the finite element model.</p>
+</div>
+<div id="cube6_surface" class="imageblock">
+<div class="content">
+<img src="images/cube6_surface.png" alt="cube6 surface">
+</div>
+<div class="title">Figure 16. Surface with edges view of 6x6x6 cube.</div>
+</div>
+<div class="paragraph">
+<p>For a simulated test, we are going to apply a compression test using <code>n88modelgenerator</code> to this data file. There are a
+number of different standard compression tests, as described in
+<a href="#standard_tests">Standard Tests</a>. Here we are going to use the <a href="#axial_test">axial</a>
+variation. In an axial compression
+test, the sides are unconstrained and the top and bottom surfaces constrained
+laterally, as if they experience a high contact friction with the
+imaginary surfaces applying the compression.</p>
+</div>
+<div class="sect3">
+<h4 id="_generating_the_model">7.1.1. Generating the model</h4>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>The first step is to open a Terminal (on Windows a Command Prompt or PowerShell).
+Make sure both that the Faim is on the Path, as described in <a href="#how_to_run">How to run the solvers</a>,
+and also that you have activated the Anaconda python environment for <code>n88tools</code>,
+as described in <a href="#install_n88tools">Install n88tools and vtkbone</a>.</p>
+</div>
+<div class="admonitionblock important">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/important.png" alt="Important">
+</td>
+<td class="content">
+If you close the terminal part way through this tutorial, and
+then pick it up again later by opening a new terminal, you will have to
+re-set the environment variables and re-activate the conda environment.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Assuming that you have copied the data file <code>cube6x6x6.vti</code> to your current
+working directory, the command to generate the model is</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelgenerator --test=axial cube6x6x6.vti</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>Since we haven&#8217;t specified otherwise, <code>n88modelgenerator</code> will select all
+default parameters, including default material properties (homogeneous
+material with isotropic Young&#8217;s modulus of 6829 MPa and Poisson&#8217;s ratio 0.3),
+and a displacement,
+applied to the top surface in the <em>z</em> direction, numerically equivalent to
+an apparent level strain of -0.01 (the minus indicates compressive strain).
+Refer to <a href="#n88modelgenerator">the section on
+n88modelgenerator</a> for details on setting parameters differently if you wish
+to do so.</p>
+</div>
+<div class="paragraph">
+<p>Here is the output when we run it:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelgenerator Version 10.0
+Copyright (c) 2010-2025, Numerics88 Solutions.
+Licensed to Numerics88 Solutions.; lic. no. 91
 
 input_file   = cube6x6x6.vti
 output_file  = cube6x6x6_axial.n88model
@@ -8513,37 +5926,37 @@ <h4 id="_generating_the_model">7.1.1. Generating the model</h4>
           top_displacement : 49 nodes
    0.02 Writing Numerics88 Model file cube6x6x6_axial.n88model .
    0.03 Done.</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>We now have a file <code>cube6x6x6_axial.n88model</code> that can be used directly as
-                input to the solver.</p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_solving_the_model">7.1.2. Solving the model</h4>
-            <div class="paragraph">
-              <p>Having now defined the problem, we can solve it, and do some post-processing,
-                all in one step with <a href="#faim">faim</a>.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>faim cube6x6x6_axial.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>The output is:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>Model has 216 elements.
+</div>
+</div>
+<div class="paragraph">
+<p>We now have a file <code>cube6x6x6_axial.n88model</code> that can be used directly as
+input to the solver.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_solving_the_model">7.1.2. Solving the model</h4>
+<div class="paragraph">
+<p>Having now defined the problem, we can solve it, and do some post-processing,
+all in one step with <a href="#faim">faim</a>.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>faim cube6x6x6_axial.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>The output is:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Model has 216 elements.
 Model contains only linear material definitions.
 
 Choosing n88solver_slt.
 Running solver: n88solver_slt cube6x6x6_axial.n88model
 n88solver_slt version 10.0
-Copyright (c) 2010-2025, Numerics88 Solutions Ltd.
-Licensed to Numerics88 Solutions Ltd.; lic. no. 91
+Copyright (c) 2010-2020, Numerics88 Solutions.
+Licensed to Numerics88 Solutions.; lic. no. 91
 Problem:
   active solution       = (none)
   active problem        = Problem1
@@ -8568,8 +5981,8 @@ <h4 id="_solving_the_model">7.1.2. Solving the model</h4>
 
 Running field calculator: n88derivedfields cube6x6x6_axial.n88model
 n88derivedfields version 10.0
-Copyright (c) 2010-2025, Numerics88 Solutions Ltd.
-Licensed to Numerics88 Solutions Ltd.; lic. no. 91
+Copyright (c) 2010-2025, Numerics88 Solutions.
+Licensed to Numerics88 Solutions.; lic. no. 91
 Problem:
   active solution       = Solution1
   active problem        = Problem1
@@ -8580,323 +5993,363 @@ <h4 id="_solving_the_model">7.1.2. Solving the model</h4>
 Peak data allocation: 19.8 kiB
 
 Running analysis tool: n88postfaim --output_file cube6x6x6_axial_analysis.txt cube6x6x6_axial.n88model</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_visualizing_the_results_with_paraview">7.1.3. Visualizing the results with ParaView</h4>
-            <div class="paragraph">
-              <p>First ensure that ParaView is set up with the plugins to read Numerics88
-                files, as described in <a href="#paraview_plugins">Installing and using the Numerics88 plugins for
-                  ParaView</a>. Assuming that the plugins are loaded correctly,
-                <code>cube6x6x6_axial.n88model</code> can be opened directly with ParaView. When we
-                first open this file, it looks very similar to the
-                input data. However, if we go to the <em>Information</em> tab in the Pipeline
-                Browser, we can see that there are now several Data Arrays, <em>Displacement</em>,
-                <em>ReactionForce</em>, etc&#8230;&#8203; as shown in <a href="#cube6_arrays">Figure 17</a>. Notice that
-                the
-                icon next the the array name indicates whether the data is on <em>Points</em>
-                or <em>Cells</em>, which is equivalent in finite element terminology to <em>Nodes</em> and
-                <em>Elements</em>, respectively.
-              </p>
-            </div>
-            <div id="cube6_arrays" class="imageblock">
-              <div class="content">
-                <img src="images/cube6_arrays.png" alt="cube6 arrays">
-              </div>
-              <div class="title">Figure 17. Solved 6x6x6 cube with Data Arrays.</div>
-            </div>
-            <div class="paragraph">
-              <p>There are many ways to visualize the data. As a simple example, choose
-                <em>Displacement</em> from the drop-down menu on the toolbar that currently
-                shows <em>_MaterialID</em>. Also click the <b class="button">Toggle Color Legend Visibility</b>
-                button on the toolbar (on the very left side). ParaView should now
-                look like <a href="#cube6_displacement">Figure 18</a>. Notice that a new drop-down
-                box appears that shows <em>Magnitude</em>. This occurs because the Displacements
-                are a vector quantity. Experiment with changing this to
-                <em>Z</em>, <em>X</em> and <em>Y</em>.
-              </p>
-            </div>
-            <div id="cube6_displacement" class="imageblock">
-              <div class="content">
-                <img src="images/cube6_displacement.png" alt="cube6 displacement">
-              </div>
-              <div class="title">Figure 18. Solved 6x6x6 cube colored by Displacement.</div>
-            </div>
-            <div class="paragraph">
-              <p>Although we now have the cube colored by Displacement, the object is shown
-                in its undeformed unloaded shape. To visualize the deformations, we can use
-                the <em>Warp By Vector</em> tool. There is an icon for this on the bottom
-                Toolbar. Because we have imposed a small strain, -0.01, it will be hard to
-                see. The <em>Warp By Vector</em> tool however allows us to apply a Scale Factor.
-                We will set this to 10, so that the displacements are amplified by a factor
-                of 10. The results are shown in <a href="#cube6_warped">Figure 19</a>, where the compression
-                and outward bulging of the sides are clearly seen. In this figure, we
-                have, in addition to applying the Warp By Vector tool, re-enabled
-                the display of the original <code>cube6x6x6_axial.n88model</code>, which was
-                automatically disabled by ParaView when we connected a filter object to it.
-                We then set its display type to <em>Outline</em>, resulting in the white
-                box outline in <a href="#cube6_warped">Figure 19</a>, which indicates the original undeformed
-                box shape.</p>
-            </div>
-            <div id="cube6_warped" class="imageblock">
-              <div class="content">
-                <img src="images/cube6_warped.png" alt="cube6 warped">
-              </div>
-              <div class="title">Figure 19. Solved 6x6x6 cube shown with exaggerated displacement using the Warp By
-                Vector tool.</div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_obtaining_numerical_values_from_the_analysis_file">7.1.4. Obtaining numerical values from the
-              analysis file</h4>
-            <div class="paragraph">
-              <p>A typical result we want to obtain with a compression test is the object
-                apparent stiffness. Numerically the stiffness is the net external force
-                divided by the displacement. We can find the displacement and force on the top
-                surface from the analysis file, <code>cube6x6x6_axial_analysis.txt</code>. This file is
-                a text file, and can be opened with any text
-                editor. Refer to <a href="#analysis_file_def">the section on post-processing with n88postfaim</a>
-                for the complete explanation of the values available.</p>
-            </div>
-            <div class="paragraph">
-              <p>The displacement is obtained from table <a href="#n88postfaim_nodal_displacements">Nodal
-                  Displacements</a>. The
-                displacements in this table are listed according to node set.</p>
-            </div>
-            <div class="paragraph">
-              <p><code>n88modelgenerator</code> has defined some standard node sets (for a complete
-                list see <a href="#creating_sets">Creating node and element sets</a> in the chapter
-                on Preparing Models with <code>vtkbone</code>.) Here the node sets that are relevant
-                are the two surfaces to which the boundary conditions are applied, namely
-                the top and bottom surfaces, <em>face_z1</em> and <em>face_z0</em>, respectively.
-                The analysis file has been generated using these two node sets.
-                If we examine the Nodal Displacements table of
-                <code>cube6x6x6x_axial_analysis.txt</code>, as shown in <a href="#analysis_uz">Figure 20</a>, we see
-                that the top node set has a uniform displacement in the <em>z</em> direction of
-                -0.06 mm. The relevant number is circled in red. Notice also that the
-                minimum and maximum are the same so all nodes of this set are equally
-                displaced, as we expect, since this is in fact a boundary
-                condition. The other node set is the nodes of the bottom
-                surface, and it has constant displacement of 0.
-              </p>
-            </div>
-            <div id="analysis_uz" class="imageblock">
-              <div class="content">
-                <img src="images/cube6_analysis_uz_hr.png" alt="cube6 analysis uz hr">
-              </div>
-              <div class="title">Figure 20. uz components in Nodal Displacements table of the analysis file.</div>
-            </div>
-            <div id="analysis_fz" class="imageblock">
-              <div class="content">
-                <img src="images/cube6_analysis_fz_hr.png" alt="cube6 analysis fz hr">
-              </div>
-              <div class="title">Figure 21. Fz components in Nodal Forces table of the analysis file.</div>
-            </div>
-            <div class="paragraph">
-              <p>Similarly to the table for displacements, table <a href="#n88postfaim_nodal_forces">Nodal Forces</a>
-                shows forces, summed over the defined node sets. Here the relevant
-                value is -2651 N, as shown in <a href="#analysis_fz">Figure 21</a>. The apparent stiffness of the
-                cube is therefore</p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                \frac{-2651 \: N}{-0.06 \: mm} = 4.42 \! \times \! 10^5 N/mm
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Is this value reasonable? We can estimate what we should get. Completely
-                ignoring lateral expansion and Poisson&#8217;s ratio, we can do a quick estimate
-                that the stiffness of a homogeneous cube should be approximately,</p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                k = \frac{E A}{h}
-                = \frac { [ 6829 \: N/mm^2 ] [ 6 \: mm ]^2 } { [ 6 mm ] }
-                = 4.10 \! \times \! 10^5 N/mm
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>This is close to what we obtained from the finite element model. The
-                difference arises from the fact that the finite element model takes account
-                of the complicated lateral expansion (bulging of the sides) that occurs in
-                an axial test, while our simple back-of-the-envelope calculation assumes uniaxial
-                conditions (<em>i.e.</em>, no lateral constraint on the top and bottom boundary surfaces).</p>
-            </div>
-            <div class="paragraph">
-              <p>This concludes the cube tutorial. You have learned how
-                to generate standard models from image data using <code>n88modelgenerator</code>,
-                how to solve the models, how to visualize the models using ParaView,
-                and how to do some elementary post-processing analysis.</p>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="radius_slice_tutorial">7.2. Tutorial: Compression test of a radius bone slice</h3>
-          <div class="paragraph">
-            <p>In the previous tutorial, we saw how to generate a finite element model from
-              an image file using <a href="#n88modelgenerator">n88modelgenerator</a>, how
-              to solve it, how to visualize the results, and how obtain some relevant
-              numerical results. In this tutorial, we are going to generate and solve
-              a similar compression test. Instead of
-              a small contrived image, we will be using a real data file obtained
-              from a microCT scan of a distal radius bone. We will also provide more detail
-              about the steps along the way, and be introduced to some of the tools that
-              aid in examining and verifying models.</p>
-          </div>
-          <div class="paragraph">
-            <p>In detail, this tutorial will demonstrate:</p>
-          </div>
-          <div class="ulist">
-            <ul>
-              <li>
-                <p>How to use <a href="#n88modelinfo">n88modelinfo</a> to obtain information about
-                  <code>n88model</code> files, and in particular to trace back exactly how they were
-                  generated and processed.
-                </p>
-              </li>
-              <li>
-                <p>How to examine the residuals to evaluate the accuracy of the solution.</p>
-              </li>
-              <li>
-                <p>How to quantify the load sharing between the two types of bone, cortical
-                  bone and trabecular bone.</p>
-              </li>
-              <li>
-                <p>How to compress data files using <a href="#n88copymodel">n88copymodel</a> for
-                  efficient storage.</p>
-              </li>
-            </ul>
-          </div>
-          <div class="paragraph">
-            <p>The data file is <code>radius_slice82.aim</code>, and it is obtained with the tutorial
-              data available from <a href="http://numerics88.com/n88/downloads/"
-                class="bare">http://numerics88.com/n88/downloads/</a> .
-              This is a large image file of
-              325&#215;437&#215;110 voxels in size. It was obtained with a scan
-              resolution of 82 micrometers. The tutorial will be demonstrated using
-              this data file. However, a reduced-resolution file, <code>radius_slice164.aim</code>, is
-              also provided. The resolution has been reduced to an effective 164 micrometers,
-              resulting in a much smaller data file with dimensions 163&#215;219&#215;55.
-              If you are working on a computer with limited memory, or are just impatient, then you can follow along
-              using the smaller file.</p>
-          </div>
-          <div class="paragraph">
-            <p>Before proceeding, ensure that the Numerics88 plugins for ParaView are loaded as
-              described in <a href="#paraview_plugins">Install the Numerics88 plugins for ParaView</a>.</p>
-          </div>
-          <div class="paragraph">
-            <p>In the previous tutorial you might recall that the data file was a VTK
-              image data file, and that it explicitly had the data on the <em>Cells</em>
-              rather than on the <em>Points</em>. Most image file formats make no such
-              distinction, but ParaView always uses one or the other, as it affects how the
-              data are rendered. In fact if you
-              experiment you will determine that certain filters will work in one case and
-              not the other, or that other filters will work differently depending on
-              whether the data are on the Points or the Cells. As an example, the
-              <em>Contour</em> filter requires data on the Points, while the <em>Threshold</em> filter
-              generally only gives the results you expect with the data on the Cells.
-              You will see when opening an AIM file that in the Properties
-              tab we have a couple of options, which are <em>Data on Cells</em> and <em>Pad</em>. This
-              is shown in <a href="#radius_slice_open">Figure 22</a>. For this tutorial we want to select
-              <em>Data on Cells</em>, which is the default.
-            </p>
-          </div>
-          <div id="radius_slice_open" class="imageblock">
-            <div class="content">
-              <img src="images/radius_slice_open.png" alt="radius slice open">
-            </div>
-            <div class="title">Figure 22. Options when opening an AIM file.</div>
-          </div>
-          <div class="paragraph">
-            <p>Once you&#8217;ve opened the file <code>radius_slice82.aim</code> (or <code>radius_slice164.aim</code>)
-              and clicked <b class="button">Apply</b>, locate the icon for the Threshold filter on the toolbar.
-              Change the Lower Threshold to 1 before clicking <b class="button">Apply</b>, as shown in
-              <a href="#radius_slice_threshold">Figure 23</a>; Scalars should be set to <em>AIMData</em>.
-            </p>
-          </div>
-          <div id="radius_slice_threshold" class="imageblock">
-            <div class="content">
-              <img src="images/radius_slice_threshold.png" alt="radius slice threshold">
-            </div>
-            <div class="title">Figure 23. The threshold filter.</div>
-          </div>
-          <div class="paragraph">
-            <p>Now change the <em>Representation</em> drop-down box to <em>Surface</em> and the <em>Color by</em>
-              drop-down box to <em>AIMData</em>. Also turn on the legend by clicking the
-              <b class="button">Toggle Color Legend Visibility</b> button. After rotating the image
-              (click and drag in the image window) to get a good viewing angle, this
-              should look something like <a href="#radius_slice_image">Figure 24</a>. You can see that this
-              data file has been segmented such that the cortical bone has material ID 127
-              and the trabecular bone has material ID 100.
-            </p>
-          </div>
-          <div id="radius_slice_image" class="imageblock">
-            <div class="content">
-              <img src="images/radius_slice_image.png" alt="radius slice image">
-            </div>
-            <div class="title">Figure 24. Input image for the radius slice tutorial.</div>
-          </div>
-          <div class="sect3">
-            <h4 id="_generating_the_model_2">7.2.1. Generating the model</h4>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="paragraph">
-              <p>As before, we recommend copying the data file <code>radius_slice82.aim</code> into a
-                temporary working directory. The command to generate the model is</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88modelgenerator --test=uniaxial radius_slice82.aim</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>The resulting model file will be named <code>radius_slice82_uniaxial.n88model</code>.</p>
-            </div>
-            <div class="admonitionblock note">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/note.png" alt="Note">
-                  </td>
-                  <td class="content">
-                    Don&#8217;t forget that before running <code>n88modelgenerator</code>, make sure that
-                    Faim is on the Path, as described in <a href="#how_to_run">How to run the solvers</a>,
-                    and also that you have activated the Anaconda python environment for <code>n88tools</code>,
-                    as described in <a href="#install_n88tools">Install n88tools and vtkbone</a>.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Before we solve it, we are going to examine
-                this model file using <a href="#n88modelinfo">n88modelinfo</a>.
-                You will find that <a href="#n88modelinfo">n88modelinfo</a> is a very useful tool
-                for getting information about the models, and for tracing back how they
-                were created and solved. <a href="#n88modelinfo">n88modelinfo</a> can be run like this,</p>
-            </div>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88modelinfo radius_slice82_uniaxial.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p><a href="#n88modelinfo">n88modelinfo</a> can generate quite a bit of output. We will
-                shortly see how to reduce this to just the information that we are
-                interested in. For now though, let&#8217;s look at the complete output.
-                Comments follow below the example output.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>History:
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_visualizing_the_results_with_paraview">7.1.3. Visualizing the results with ParaView</h4>
+<div class="paragraph">
+<p>First ensure that ParaView is set up with the plugins to read Numerics88
+files, as described in <a href="#paraview_plugins">Installing and using the Numerics88 plugins for ParaView</a>. Assuming that the plugins are loaded correctly,
+<code>cube6x6x6_axial.n88model</code> can be opened directly with ParaView. When we
+first open this file, it looks very similar to the
+input data. However, if we go to the <em>Information</em> tab in the Pipeline
+Browser, we can see that there are now several Data Arrays, <em>Displacement</em>,
+<em>ReactionForce</em>, etc&#8230;&#8203; as shown in <a href="#cube6_arrays">Figure 17</a>. Notice that the
+icon next the the array name indicates whether the data is on <em>Points</em>
+or <em>Cells</em>, which is equivalent in finite element terminology to <em>Nodes</em> and
+<em>Elements</em>, respectively.</p>
+</div>
+<div id="cube6_arrays" class="imageblock">
+<div class="content">
+<img src="images/cube6_arrays.png" alt="cube6 arrays">
+</div>
+<div class="title">Figure 17. Solved 6x6x6 cube with Data Arrays.</div>
+</div>
+<div class="paragraph">
+<p>There are many ways to visualize the data. As a simple example, choose
+<em>Displacement</em> from the drop-down menu on the toolbar that currently
+shows <em>_MaterialID</em>. Also click the <b class="button">Toggle Color Legend Visibility</b>
+button on the toolbar (on the very left side). ParaView should now
+look like <a href="#cube6_displacement">Figure 18</a>. Notice that a new drop-down
+box appears that shows <em>Magnitude</em>. This occurs because the Displacements
+are a vector quantity. Experiment with changing this to
+<em>Z</em>, <em>X</em> and <em>Y</em>.</p>
+</div>
+<div id="cube6_displacement" class="imageblock">
+<div class="content">
+<img src="images/cube6_displacement.png" alt="cube6 displacement">
+</div>
+<div class="title">Figure 18. Solved 6x6x6 cube colored by Displacement.</div>
+</div>
+<div class="paragraph">
+<p>Although we now have the cube colored by Displacement, the object is shown
+in its undeformed unloaded shape. To visualize the deformations, we can use
+the <em>Warp By Vector</em> tool. You can find the Warp By Vector filter icon on the bottom toolbar. See <a href="#warp_by_vector_button">Figure 19</a>.</p>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+If you cannot find the toolbar icon, you can also access it via Filters → Common → Warp By Vector.
+</td>
+</tr>
+</table>
+</div>
+<div id="warp_by_vector_button" class="imageblock">
+<div class="content">
+<img src="images/warp_by_vector_button.png" alt="warp by vector button">
+</div>
+<div class="title">Figure 19. Warp By Vector button in the ParaView toolbar</div>
+</div>
+<div class="paragraph">
+<p>Because we have imposed a small strain, -0.01, it will be hard to
+see. The <em>Warp By Vector</em> tool however allows us to apply a Scale Factor.
+We will set this to 10, so that the displacements are amplified by a factor
+of 10. The results are shown in <a href="#cube6_warped">Figure 20</a>, where the compression
+and outward bulging of the sides are clearly seen. In this figure, we
+have, in addition to applying the Warp By Vector tool, re-enabled
+the display of the original <code>cube6x6x6_axial.n88model</code>, which was
+automatically disabled by ParaView when we connected a filter object to it.
+We then set its display type to <em>Outline</em>, resulting in the white
+box outline in <a href="#cube6_warped">Figure 20</a>, which indicates the original undeformed
+box shape.</p>
+</div>
+<div id="cube6_warped" class="imageblock">
+<div class="content">
+<img src="images/cube6_warped.png" alt="cube6 warped">
+</div>
+<div class="title">Figure 20. Solved 6x6x6 cube shown with exaggerated displacement using the Warp By Vector tool.</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_obtaining_numerical_values_from_the_analysis_file">7.1.4. Obtaining numerical values from the analysis file</h4>
+<div class="paragraph">
+<p>A typical result we want to obtain with a compression test is the object
+apparent stiffness. Numerically the stiffness is the net external force
+divided by the displacement. We can find the displacement and force on the top
+surface from the analysis file, <code>cube6x6x6_axial_analysis.txt</code>. This file is
+a text file, and can be opened with any text
+editor. Refer to <a href="#analysis_file_def">the section on post-processing with n88postfaim</a>
+for the complete explanation of the values available.</p>
+</div>
+<div class="paragraph">
+<p>The displacement is obtained from table <a href="#n88postfaim_nodal_displacements">Nodal Displacements</a>. The
+displacements in this table are listed according to node set.</p>
+</div>
+<div class="paragraph">
+<p><code>n88modelgenerator</code> has defined some standard node sets (for a complete
+list see <a href="#creating_sets">Creating node and element sets</a> in the chapter
+on Preparing Models with <code>vtkbone</code>.)  Here the node sets that are relevant
+are the two surfaces to which the boundary conditions are applied, namely
+the top and bottom surfaces, <em>face_z1</em> and <em>face_z0</em>, respectively.
+The analysis file has been generated using these two node sets.
+If we examine the Nodal Displacements table of
+<code>cube6x6x6x_axial_analysis.txt</code>, as shown in <a href="#analysis_uz">Figure 21</a>, we see
+that the top node set has a uniform displacement in the <em>z</em> direction of
+-0.06 mm. The relevant number is circled in red. Notice also that the
+minimum and maximum are the same so all nodes of this set are equally
+displaced, as we expect, since this is in fact a boundary
+condition. The other node set is the nodes of the bottom
+surface, and it has constant displacement of 0.</p>
+</div>
+<div id="analysis_uz" class="imageblock">
+<div class="content">
+<img src="images/cube6_analysis_uz_hr.png" alt="cube6 analysis uz hr">
+</div>
+<div class="title">Figure 21. uz components in Nodal Displacements table of the analysis file.</div>
+</div>
+<div id="analysis_fz" class="imageblock">
+<div class="content">
+<img src="images/cube6_analysis_fz_hr.png" alt="cube6 analysis fz hr">
+</div>
+<div class="title">Figure 22. Fz components in Nodal Forces table of the analysis file.</div>
+</div>
+<div class="paragraph">
+<p>Similarly to the table for displacements, table <a href="#n88postfaim_nodal_forces">Nodal Forces</a> shows forces, summed over the defined node sets. Here the relevant
+value is -2651 N, as shown in <a href="#analysis_fz">Figure 22</a>. The apparent stiffness of the
+cube is therefore</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+\frac{-2651 \: N}{-0.06 \: mm} = 4.42 \! \times \! 10^5 N/mm
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>Is this value reasonable?  We can estimate what we should get. Completely
+ignoring lateral expansion and Poisson&#8217;s ratio, we can do a quick estimate
+that the stiffness of a homogeneous cube should be approximately,</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+k = \frac{E A}{h}
+= \frac { [ 6829 \: N/mm^2 ] [ 6 \: mm ]^2 } { [ 6 mm ] }
+= 4.10 \! \times \! 10^5 N/mm
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>This is close to what we obtained from the finite element model. The
+difference arises from the fact that the finite element model takes account
+of the complicated lateral expansion (bulging of the sides) that occurs in
+an axial test, while our simple back-of-the-envelope calculation assumes uniaxial
+conditions (<em>i.e.</em>, no lateral constraint on the top and bottom boundary surfaces).</p>
+</div>
+<div class="paragraph">
+<p>This concludes the cube tutorial. You have learned how
+to generate standard models from image data using <code>n88modelgenerator</code>,
+how to solve the models, how to visualize the models using ParaView,
+and how to do some elementary post-processing analysis.</p>
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="radius_slice_tutorial">7.2. Tutorial: Compression test of a radius bone slice</h3>
+<div class="paragraph">
+<p>In the previous tutorial, we saw how to generate a finite element model from
+an image file using <a href="#n88modelgenerator">n88modelgenerator</a>, how
+to solve it, how to visualize the results, and how obtain some relevant
+numerical results. In this tutorial, we are going to generate and solve
+a similar compression test. Instead of
+a small contrived image, we will be using a real data file obtained
+from a microCT scan of a distal radius bone. We will also provide more detail
+about the steps along the way, and be introduced to some of the tools that
+aid in examining and verifying models.</p>
+</div>
+<div class="paragraph">
+<p>In detail, this tutorial will demonstrate:</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p>How to use <a href="#n88modelinfo">n88modelinfo</a> to obtain information about
+<code>n88model</code> files, and in particular to trace back exactly how they were
+generated and processed.</p>
+</li>
+<li>
+<p>How to examine the residuals to evaluate the accuracy of the solution.</p>
+</li>
+<li>
+<p>How to quantify the load sharing between the two types of bone, cortical
+bone and trabecular bone.</p>
+</li>
+<li>
+<p>How to compress data files using <a href="#n88copymodel">n88copymodel</a> for
+efficient storage.</p>
+</li>
+</ul>
+</div>
+<div class="paragraph">
+<p>The data file is <code>radius_slice82.aim</code>, and it is obtained with the tutorial
+data available from <a href="http://numerics88.com/n88/downloads/" class="bare">http://numerics88.com/n88/downloads/</a> .
+This is a large image file of
+325&#215;437&#215;110 voxels in size. It was obtained with a scan
+resolution of 82 micrometers. The tutorial will be demonstrated using
+this data file. However, a reduced-resolution file, <code>radius_slice164.aim</code>, is
+also provided. The resolution has been reduced to an effective 164 micrometers,
+resulting in a much smaller data file with dimensions 163&#215;219&#215;55.
+If you are working on a computer with limited memory, or are just impatient, then you can follow along using the smaller file.</p>
+</div>
+<div class="paragraph">
+<p>Before proceeding, ensure that the Numerics88 plugins for ParaView are loaded as
+described in <a href="#paraview_plugins">Install the Numerics88 plugins for ParaView</a>.</p>
+</div>
+<div class="paragraph">
+<p>In the previous tutorial you might recall that the data file was a VTK
+image data file, and that it explicitly had the data on the <em>Cells</em>
+rather than on the <em>Points</em>. Most image file formats make no such
+distinction, but ParaView always uses one or the other, as it affects how the
+data are rendered. In fact if you
+experiment you will determine that certain filters will work in one case and
+not the other, or that other filters will work differently depending on
+whether the data are on the Points or the Cells. As an example, the
+<em>Contour</em> filter requires data on the Points, while the <em>Threshold</em> filter
+generally only gives the results you expect with the data on the Cells.
+You will see when opening an AIM file that in the Properties
+tab we have a couple of options, which are <em>Data on Cells</em> and <em>Pad</em>. This
+is shown in <a href="#radius_slice_open">Figure 23</a>. For this tutorial we want to select
+<em>Data on Cells</em>, which is the default.</p>
+</div>
+<div id="radius_slice_open" class="imageblock">
+<div class="content">
+<img src="images/radius_slice_open.png" alt="radius slice open">
+</div>
+<div class="title">Figure 23. Options when opening an AIM file.</div>
+</div>
+<div class="paragraph">
+<p>Once you&#8217;ve opened the file <code>radius_slice82.aim</code> (or <code>radius_slice164.aim</code>)
+and clicked <b class="button">Apply</b>, you need to apply a <em>Threshold filter</em> to the image.</p>
+</div>
+<div class="paragraph">
+<p>You can find the <em>Threshold filter</em> icon on the main toolbar, see <a href="#threshold_button">Figure 24</a>.</p>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+If you don&#8217;t see the <em>Threshold filter</em> on the toolbar, you can also access it via Filters → Common → Threshold.
+</td>
+</tr>
+</table>
+</div>
+<div id="threshold_button" class="imageblock">
+<div class="content">
+<img src="images/threshold_button.png" alt="threshold button">
+</div>
+<div class="title">Figure 24. The Threshold filter button.</div>
+</div>
+<div class="paragraph">
+<p>Click the <em>Threshold filter</em> button, then set the following properties in the Properties panel as shown in <a href="#radius_slice_threshold">Figure 25</a></p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p><em>Scalars</em> to AIMData</p>
+</li>
+<li>
+<p><em>Lower Threshold</em> to 0</p>
+</li>
+</ul>
+</div>
+<div class="paragraph">
+<p>Click <b class="button">Apply</b> to apply the filter.</p>
+</div>
+<div id="radius_slice_threshold" class="imageblock">
+<div class="content">
+<img src="images/radius_slice_threshold.png" alt="radius slice threshold">
+</div>
+<div class="title">Figure 25. The threshold filter.</div>
+</div>
+<div class="paragraph">
+<p>Now change the <em>Representation</em> drop-down box to <em>Surface</em> and the <em>Color by</em>
+drop-down box to <em>AIMData</em>. Also turn on the legend by clicking the
+<b class="button">Toggle Color Legend Visibility</b> button. After rotating the image
+(click and drag in the image window) to get a good viewing angle, this
+should look something like <a href="#radius_slice_image">Figure 26</a>. You can see that this
+data file has been segmented such that the cortical bone has material ID 127
+and the trabecular bone has material ID 100.</p>
+</div>
+<div id="radius_slice_image" class="imageblock">
+<div class="content">
+<img src="images/radius_slice_image.png" alt="radius slice image">
+</div>
+<div class="title">Figure 26. Input image for the radius slice tutorial.</div>
+</div>
+<div class="sect3">
+<h4 id="_generating_the_model_2">7.2.1. Generating the model</h4>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>As before, we recommend copying the data file <code>radius_slice82.aim</code> into a
+temporary working directory. The command to generate the model is</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelgenerator --test=uniaxial radius_slice82.aim</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>The resulting model file will be named <code>radius_slice82_uniaxial.n88model</code>.</p>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+Don&#8217;t forget that before running <code>n88modelgenerator</code>, make sure that
+Faim is on the Path, as described in <a href="#how_to_run">How to run the solvers</a>,
+and also that you have activated the Anaconda python environment for <code>n88tools</code>,
+as described in <a href="#install_n88tools">Install n88tools and vtkbone</a>.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Before we solve it, we are going to examine
+this model file using <a href="#n88modelinfo">n88modelinfo</a>.
+You will find that <a href="#n88modelinfo">n88modelinfo</a> is a very useful tool
+for getting information about the models, and for tracing back how they
+were created and solved. <a href="#n88modelinfo">n88modelinfo</a> can be run like this,</p>
+</div>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelinfo radius_slice82_uniaxial.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p><a href="#n88modelinfo">n88modelinfo</a> can generate quite a bit of output. We will
+shortly see how to reduce this to just the information that we are
+interested in. For now though, let&#8217;s look at the complete output.
+Comments follow below the example output.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>History:
 ----------------------------------------------------------------------
 2016-Sep-15 14:49:17 Model created by n88modelgenerator version 8.0
 ----------------------------------------------------------------------
@@ -8905,8 +6358,8 @@ <h4 id="_generating_the_model_2">7.2.1. Generating the model</h4>
 ----------------------------------------------------------------------
 2016-Sep-15 14:49:17
 n88modelgenerator Version 8.0
-Copyright (c) 2010-2016, Numerics88 Solutions Ltd.
-Licensed to Numerics88 Solutions Ltd.; lic. no. 91
+Copyright (c) 2010-2016, Numerics88 Solutions.
+Licensed to Numerics88 Solutions.; lic. no. 91
 
 input_file   = radius_slice82.aim
 output_file  = radius_slice82_uniaxial.n88model
@@ -9055,164 +6508,160 @@ <h4 id="_generating_the_model_2">7.2.1. Generating the model</h4>
 Solutions:
 ----------------------------------------------------------------------
 ----------------------------------------------------------------------</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Some things to note about the output of <a href="#n88modelinfo">n88modelinfo</a>:</p>
-            </div>
-            <div class="ulist">
-              <ul>
-                <li>
-                  <p>The <em>History</em> is a useful field to see what programs were run to generate
-                    or modify the file, and when.</p>
-                </li>
-                <li>
-                  <p>The <em>Log</em> field is similar to the History, except that it gives far more
-                    detailed information. Of particular note is that <a href="#n88modelgenerator">n88modelgenerator</a>
-                    reports its complete configuration, including all parameters values relevant
-                    to the particular test type, even ones which haven&#8217;t been explicitly
-                    set, but are default values.</p>
-                </li>
-                <li>
-                  <p>This file hasn&#8217;t been solved yet, so there is nothing in <em>Solutions</em>.</p>
-                </li>
-                <li>
-                  <p>The sets defined for post-processing are <em>face_z1</em> and <em>face_z0</em>,
-                    which are the top and bottom surfaces, respectively. We will need this
-                    information later to interpret the results in the analysis file.</p>
-                </li>
-              </ul>
-            </div>
-            <div class="paragraph">
-              <p>Now, as mentioned, that is a lot of output. Often we are interested in
-                just part of the output. In this case, we can specify the bits we want.
-                For example, to get just the History and the Log, we could do this,</p>
-            </div>
-            <div class="paragraph">
-              <p>
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88modelinfo --history --log radius_slice82_uniaxial.n88model</pre>
-              </div>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    To discover what the valid arguments to <a href="#n88modelinfo">n88modelinfo</a> are,
-                    you can either refer to the manual (See <a href="#n88modelinfo">n88modelinfo</a>), or you can
-                    run <code>n88modelinfo --help</code>.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    <div class="paragraph">
-                      <p>If you want the output of <a href="#n88modelinfo">n88modelinfo</a> to be saved in a file,
-                        then run it like this</p>
-                    </div>
-                    <div class="listingblock">
-                      <div class="content">
-                        <pre>n88modelinfo radius_slice82_uniaxial.n88model &gt; info.txt</pre>
-                      </div>
-                    </div>
-                    <div class="paragraph">
-                      <p>This will direct the output of <a href="#n88modelinfo">n88modelinfo</a> to
-                        the file <code>info.txt</code>.</p>
-                    </div>
-                  </td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_solving_the_model_2">7.2.2. Solving the model</h4>
-            <div class="paragraph">
-              <p>From the previous tutorial, we know that we can use <a href="#faim">faim</a> to solve
-                the model and perform so post-processing on it. <a href="#faim">faim</a> itself actually
-                just calls three other programs to carry out the actual work. Usually it&#8217;s
-                easiest to call <a href="#faim">faim</a>, but in this tutorial we are going to call
-                the individual processing programs ourselves, so we can understand what
-                <a href="#faim">faim</a> is doing.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>The first step carried out by <a href="#faim">faim</a> is to solve the model with <a
-                  href="#n88solver">n88solver_slt</a>, which we can do with</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88solver_slt radius_slice82_uniaxial.n88model <img src="./images/icons/callouts/1.png" alt="1"></pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>The specification <code>slt</code> for the solver means that this is the solver for <em>small
-                      strain</em>, <em>linear problems</em>, using a <em>material table</em>.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    <div class="paragraph">
-                      <p>This model will take some time to solve. If you have licensed the GPU solvers,
-                        and have suitable hardware, then you probably would like to jump right
-                        into using the GPU hardware. To do this, specify the <a href="#n88solver_engine">engine</a>
-                        and <a href="#n88solver_device">device</a>. For example, for a system with two
-                        compute-capable Nvidia cards, including the one being used for the display,
-                        the command would be:</p>
-                    </div>
-                    <div class="listingblock">
-                      <div class="content">
-                        <pre>n88solver_slt --engine=nv --device=0,1 radius_slice82_uniaxial.n88model</pre>
-                      </div>
-                    </div>
-                    <div class="paragraph">
-                      <p>If you have a system where the compute GPUs are distinct from the
-                        video card used for the display, such as is typical for Nvidia Tesla hardware,
-                        then the correct <a href="#n88solver_device">device</a> option for two
-                        compute-capable Nvidia cards is more likely to be <code>--device=1,2</code> .</p>
-                    </div>
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>We can see how this has modified the <code>n88model</code> file by running
-                <a href="#n88modelinfo">n88modelinfo</a> again. To avoid the lengthy complete output,
-                here we use arguments that show only the sections
-                that have in fact changed
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88modelinfo --history --log --solutions radius_slice82_uniaxial.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>The output is:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>History:
+</div>
+</div>
+<div class="paragraph">
+<p>Some things to note about the output of <a href="#n88modelinfo">n88modelinfo</a>:</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p>The <em>History</em> is a useful field to see what programs were run to generate
+or modify the file, and when.</p>
+</li>
+<li>
+<p>The <em>Log</em> field is similar to the History, except that it gives far more
+detailed information. Of particular note is that <a href="#n88modelgenerator">n88modelgenerator</a>
+reports its complete configuration, including all parameters values relevant
+to the particular test type, even ones which haven&#8217;t been explicitly
+set, but are default values.</p>
+</li>
+<li>
+<p>This file hasn&#8217;t been solved yet, so there is nothing in <em>Solutions</em>.</p>
+</li>
+<li>
+<p>The sets defined for post-processing are <em>face_z1</em> and <em>face_z0</em>,
+which are the top and bottom surfaces, respectively. We will need this
+information later to interpret the results in the analysis file.</p>
+</li>
+</ul>
+</div>
+<div class="paragraph">
+<p>Now, as mentioned, that is a lot of output. Often we are interested in
+just part of the output. In this case, we can specify the bits we want.
+For example, to get just the History and the Log, we could do this,</p>
+</div>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelinfo --history --log radius_slice82_uniaxial.n88model</pre>
+</div>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+To discover what the valid arguments to <a href="#n88modelinfo">n88modelinfo</a> are,
+you can either refer to the manual (See <a href="#n88modelinfo">n88modelinfo</a>), or you can
+run <code>n88modelinfo --help</code>.
+</td>
+</tr>
+</table>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>If you want the output of <a href="#n88modelinfo">n88modelinfo</a> to be saved in a file,
+then run it like this</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelinfo radius_slice82_uniaxial.n88model &gt; info.txt</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>This will direct the output of <a href="#n88modelinfo">n88modelinfo</a> to
+the file <code>info.txt</code>.</p>
+</div>
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_solving_the_model_2">7.2.2. Solving the model</h4>
+<div class="paragraph">
+<p>From the previous tutorial, we know that we can use <a href="#faim">faim</a> to solve
+the model and perform so post-processing on it. <a href="#faim">faim</a> itself actually
+just calls three other programs to carry out the actual work. Usually it&#8217;s
+easiest to call <a href="#faim">faim</a>, but in this tutorial we are going to call
+the individual processing programs ourselves, so we can understand what
+<a href="#faim">faim</a> is doing.</p>
+</div>
+<div class="paragraph">
+<p>The first step carried out by <a href="#faim">faim</a> is to solve the model with <a href="#n88solver">n88solver_slt</a>, which we can do with</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88solver_slt radius_slice82_uniaxial.n88model <img src="./images/icons/callouts/1.png" alt="1"></pre>
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>The specification <code>slt</code> for the solver means that this is the solver for <em>small strain</em>, <em>linear problems</em>, using a <em>material table</em>.</td>
+</tr>
+</table>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>This model will take some time to solve. If you have licensed the GPU solvers,
+and have suitable hardware, then you probably would like to jump right
+into using the GPU hardware. To do this, specify the <a href="#n88solver_engine">engine</a>
+and <a href="#n88solver_device">device</a>. For example, for a system with two
+compute-capable Nvidia cards, including the one being used for the display,
+the command would be:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88solver_slt --engine=nv --device=0,1 radius_slice82_uniaxial.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>If you have a system where the compute GPUs are distinct from the
+video card used for the display, such as is typical for Nvidia Tesla hardware,
+then the correct <a href="#n88solver_device">device</a> option for two
+compute-capable Nvidia cards is more likely to be <code>--device=1,2</code> .</p>
+</div>
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>We can see how this has modified the <code>n88model</code> file by running
+<a href="#n88modelinfo">n88modelinfo</a> again. To avoid the lengthy complete output,
+here we use arguments that show only the sections
+that have in fact changed</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelinfo --history --log --solutions radius_slice82_uniaxial.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>The output is:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>History:
 ----------------------------------------------------------------------
 2016-Sep-15 14:49:17 Model created by n88modelgenerator version 8.0
 2016-Sep-15 15:22:54 Solved by n88solver_slt 8.0
@@ -9222,8 +6671,8 @@ <h4 id="_solving_the_model_2">7.2.2. Solving the model</h4>
 ----------------------------------------------------------------------
 2016-Sep-15 14:49:17
 n88modelgenerator Version 8.0
-Copyright (c) 2010-2016, Numerics88 Solutions Ltd.
-Licensed to Numerics88 Solutions Ltd.; lic. no. 91
+Copyright (c) 2010-2016, Numerics88 Solutions.
+Licensed to Numerics88 Solutions.; lic. no. 91
 
 input_file   = radius_slice82.aim
 output_file  = radius_slice82_uniaxial.n88model
@@ -9256,9 +6705,9 @@ <h4 id="_solving_the_model_2">7.2.2. Solving the model</h4>
           top_displacement : 25991 nodes
 
 2016-Sep-15 15:22:54
-n88solver_slt version 8.0
-Copyright (c) 2010-2015, Numerics88 Solutions Ltd.
-Licensed to Numerics88 Solutions Ltd.; lic. no. 91
+n88solver_slt version 9.1
+Copyright (c) 2010-2025, Numerics88 Solutions.
+Licensed to Numerics88 Solutions.; lic. no. 91
 Problem:
   active solution       = (none)
   active problem        = Problem1
@@ -9286,54 +6735,53 @@ <h4 id="_solving_the_model_2">7.2.2. Solving the model</h4>
   Variables defined on nodes:
     Displacement
 ----------------------------------------------------------------------</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Note things are worth noting here. In the <em>Log</em> section, we now have a record
-                of the complete configuration of the solver (in this case, it happens to be default
-                values). And in the <em>Solutions</em> section, we now have a solution (&#8220;Solution1&#8221;)
-                with a field defined on the nodes, namely <em>Displacements</em>.</p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_evaluating_the_accuracy_of_the_solution">7.2.3. Evaluating the accuracy of the solution</h4>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="paragraph">
-              <p>Faim includes a tool that can be used to evaluate the accuracy of the
-                obtained solutions. This is discussed in the section
-                <a href="#evaluating_solution_quality">Evaluating solution quality</a>. It can
-                be run like this:
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88evaluate radius_slice82_uniaxial.n88model</pre>
-              </div>
-            </div>
-            <div class="admonitionblock warning">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/warning.png" alt="Warning">
-                  </td>
-                  <td class="content">
-                    The <code>n88evaluate</code> tool in its current implementation requires
-                    far more memory than the solver itself does. For this example, it will
-                    use almost 60GB of memory, while the solver needed less than 2GB. Therefore,
-                    currently, <strong>you should not attempt to run this part of the tutorial on a machine
-                      with less than 64GB of RAM</strong> .
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>The output is,</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>Analysis of solution displacements at boundary conditions:
+</div>
+</div>
+<div class="paragraph">
+<p>Note things are worth noting here. In the <em>Log</em> section, we now have a record
+of the complete configuration of the solver (in this case, it happens to be default
+values). And in the <em>Solutions</em> section, we now have a solution (&#8220;Solution1&#8221;)
+with a field defined on the nodes, namely <em>Displacements</em>.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_evaluating_the_accuracy_of_the_solution">7.2.3. Evaluating the accuracy of the solution</h4>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>Faim includes a tool that can be used to evaluate the accuracy of the
+obtained solutions. This is discussed in the section
+<a href="#evaluating_solution_quality">Evaluating solution quality</a>. It can
+be run like this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88evaluate radius_slice82_uniaxial.n88model</pre>
+</div>
+</div>
+<div class="admonitionblock warning">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/warning.png" alt="Warning">
+</td>
+<td class="content">
+The <code>n88evaluate</code> tool in its current implementation requires
+far more memory than the solver itself does. For this example, it will
+use almost 60GB of memory, while the solver needed less than 2GB. Therefore,
+currently, <strong>you should not attempt to run this part of the tutorial on a machine
+with less than 64GB of RAM</strong> .
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>The output is,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Analysis of solution displacements at boundary conditions:
     max err           : 0.00E+00
     rms err           : 0.00E+00
 
@@ -9342,46 +6790,43 @@ <h4 id="_evaluating_the_accuracy_of_the_solution">7.2.3. Evaluating the accuracy
     rms err           : 9.35E-07
     max err/max force : 9.26E-06
     rms err/max force : 6.79E-07</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>The meaning of these results is discussed in the section
-                <a href="#evaluating_solution_quality">Evaluating solution quality</a>;
-                briefly we can take the number <code>rms err/max force</code> as a measure
-                of the relative error. Here it is 7&#215;10<sup>-7</sup>, which is acceptably small.
-              </p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_obtaining_additional_solution_fields_with_n88derivedfields">7.2.4. Obtaining additional solution
-              fields with n88derivedfields</h4>
-            <div class="paragraph">
-              <p>So far our solution consists only of displacements. Many other values
-                are of interest, for example strains and stresses. These are calculated
-                with <a href="#n88derivedfields">n88derivedfields</a>. It can be run very simply
-                as,</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88derivedfields radius_slice82_uniaxial.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Now let&#8217;s have a look at what&#8217;s in the model file, using again
-                <a href="#n88modelinfo">n88modelinfo</a>,
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88modelinfo --history --solutions radius_slice82_uniaxial.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>The output is:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>History:
+</div>
+</div>
+<div class="paragraph">
+<p>The meaning of these results is discussed in the section
+<a href="#evaluating_solution_quality">Evaluating solution quality</a>;
+briefly we can take the number <code>rms err/max force</code> as a measure
+of the relative error. Here it is 7&#215;10<sup>-7</sup>, which is acceptably small.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_obtaining_additional_solution_fields_with_n88derivedfields">7.2.4. Obtaining additional solution fields with n88derivedfields</h4>
+<div class="paragraph">
+<p>So far our solution consists only of displacements. Many other values
+are of interest, for example strains and stresses. These are calculated
+with <a href="#n88derivedfields">n88derivedfields</a>. It can be run very simply
+as,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88derivedfields radius_slice82_uniaxial.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>Now let&#8217;s have a look at what&#8217;s in the model file, using again
+<a href="#n88modelinfo">n88modelinfo</a>,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelinfo --history --solutions radius_slice82_uniaxial.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>The output is:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>History:
 ----------------------------------------------------------------------
 2016-Sep-15 14:49:17 Model created by n88modelgenerator version 8.0
 2016-Sep-15 15:22:54 Solved by n88solver_slt 8.0
@@ -9402,230 +6847,222 @@ <h4 id="_obtaining_additional_solution_fields_with_n88derivedfields">7.2.4. Obta
     StrainEnergyDensity
     VonMisesStress
 ----------------------------------------------------------------------</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>We have a number of new solution fields (or variables). Some are defined on
-                the nodes and some defined on the elements. For details on these
-                fields, see <a href="#n88derivedfields">n88derivedfields</a>.</p>
-            </div>
-            <div class="admonitionblock important">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/important.png" alt="Important">
-                  </td>
-                  <td class="content">
-                    Even if you are not interested in the numerical values of the
-                    fields added by <a href="#n88derivedfields">n88derivedfields</a>, they are required
-                    by <a href="#n88postfaim">n88postfaim</a>. Running the latter requires first running
-                    the former.
-                  </td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_using_n88postfaim_to_generate_the_analysis_file">7.2.5. Using n88postfaim to generate the analysis
-              file</h4>
-            <div class="paragraph">
-              <p>The final step performed by <a href="#faim">faim</a> is to call <a href="#n88postfaim">n88postfaim</a>,
-                which does post-processing analysis. In the previous
-                tutorial we saw that an analysis file was generated, which is a text
-                file with a number of tables summarizing the numerical results.
-                It is <a href="#n88postfaim">n88postfaim</a> that generates this text file. To run
-                it on an <code>n88model</code> file that contains all the solution fields is
-                once again straightforward in most cases,</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88postfaim -o analysis.txt radius_slice82_uniaxial.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Note that unlike the previous commands, for <a href="#n88postfaim">n88postfaim</a>
-                we actually have to specify an output file with <code>-o analysis.txt</code>.
-                (If we don&#8217;t, then the output will just be printed to the terminal.)
-                The <a href="#faim">faim</a> command, which combines <code>n88solver_slt</code>,
-                <code>n88derivedfields</code>,
-                and <code>n88postfaim</code>, would have automatically generated the filename
-                <code>radius_slice82_uniaxial_analysis.txt</code> in this case, but that is
-                getting a little bit lengthy, so we&#8217;ll just use <code>analysis.txt</code> here.
-              </p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_determining_load_sharing_distribution_with_n88postfaim">7.2.6. Determining load sharing
-              distribution with n88postfaim</h4>
-            <div class="paragraph">
-              <p>We already saw some of the values in the analysis file in the previous
-                tutorial. For this tutorial, we are going to have a look at table
-                <a href="#n88postfaim_load_sharing">Load Sharing</a>, as shown in
-                <a href="#radius_slice_load_sharing">Figure 25</a>. We see that this table breaks up the
-                total load on each node set according to material ID. In this case,
-                we have material ID 127 being cortical bone, and material ID 100 being
-                trabecular bone. Recall that the material properties are not different; it is
-                merely a different labelling. Here we will see the reason for doing this.
-                Recall also that the sets defined for post-processing are the
-                top and the bottom surfaces. (If you&#8217;re not sure of this then the command
-                <code>n88modelinfo --problems radius_slice82_uniaxial.n88model</code> will show you.)
-                Because of the alignment in the CT scanner, in this case the top surface
-                is proximal, and the bottom surface is distal.
-                Referring to the values circled in red in <a href="#radius_slice_load_sharing">Figure 25</a>, we
-                conclude that on the proximal surface of this radius bone slice, the
-                proportion of the load carried by
-                the trabecular bone is (-806) / (-5199) = 15.5%, while on the distal
-                surface of the slice the proportion of the load carried by
-                the trabecular bone is (3637) / (5199) = 70.0%.
-              </p>
-            </div>
-            <div id="radius_slice_load_sharing" class="imageblock">
-              <div class="content">
-                <img src="images/radius_slice_load_sharing_hr.png" alt="radius slice load sharing hr">
-              </div>
-              <div class="title">Figure 25. Load Sharing table in analysis file.</div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_enabling_compression_for_large_model_files">7.2.7. Enabling compression for large model files</h4>
-            <div class="paragraph">
-              <p>The <code>n88model</code> file format supports compression internally and transparently.
-                An <code>n88model</code> which contains compressed data can be read with every N88 tool just like
-                any other <code>n88model</code>, without the need for the user to explicitly
-                de-compress the data. Compression is not used by default, because it
-                does have an increased calculation overhead for reading and writing
-                (particularly for writing). However, once we are finished with processing
-                the model, we typically want to keep the data around for archival
-                purposes. It is recommended to compress the <code>n88model</code> files for archiving.
-                This can be done with the <a href="#n88compress">n88compress</a> tool, as follows,</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88compress radius_slice82_uniaxial.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>For this data file, enabling compression reduces its size from 438 MB to
-                226 MB, a reduction of 47%.</p>
-            </div>
-            <div class="paragraph">
-              <p>This ends the tutorial on a compression test on a radius bone slice. We
-                were introduced to <a href="#n88modelinfo">n88modelinfo</a>, we solved a realistic
-                model, we looked at using the residuals to evaluate the quality of the
-                solution, we saw how to do load distribution calculations, and finally we
-                learned how to enable compression to more efficiently
-                store large <code>n88model</code> files.</p>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="radius_bending_tutorial">7.3. Tutorial: Bending test of a radius bone with an uneven surface</h3>
-          <div class="paragraph">
-            <p>In the previous two tutorials, we had input images where the object in the
-              image intersected the top and bottom bounds of the image, thus forming
-              nice flat surfaces to which we could apply boundary conditions. This
-              won&#8217;t always be the case. In this tutorial we&#8217;ll look at an object
-              with a very uneven surface.</p>
-          </div>
-          <div class="paragraph">
-            <p>In detail, this tutorial will demonstrate:</p>
-          </div>
-          <div class="ulist">
-            <ul>
-              <li>
-                <p>How to use the uneven surface parameters of <a href="#n88modelgenerator">n88modelgenerator</a>.</p>
-              </li>
-              <li>
-                <p>How to use <a href="#n88extractsets">n88extractsets</a> to examine our boundary
-                  conditions.</p>
-              </li>
-            </ul>
-          </div>
-          <div class="paragraph">
-            <p>The data file is <code>radius82.aim</code>. As for the previous tutorial, there
-              is also a reduced resolution version, <code>radius164.aim</code>. This data
-              is particularly large, with the unreduced version having a
-              size of 400&#215;350&#215;1100, or 154 million voxels; the resulting
-              finite element model will have 14 million elements.</p>
-          </div>
-          <div class="paragraph">
-            <p>The input image is shown in <a href="#radius_bending_input">Figure 26</a>.</p>
-          </div>
-          <div id="radius_bending_input" class="imageblock">
-            <div class="content">
-              <img src="images/radius_bending_input_hr.png" alt="radius bending input hr">
-            </div>
-            <div class="title">Figure 26. Radius bone image for bending test.</div>
-          </div>
-          <div class="admonitionblock tip">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/tip.png" alt="Tip">
-                </td>
-                <td class="content">
-                  <div class="paragraph">
-                    <p>In this tutorial, we are no longer going to go into detail on how
-                      to load and render data in ParaView, as we did in the previous two
-                      tutorials. If you&#8217;re curious about how we generated that image of the
-                      radius bone from the image file, these are the steps:</p>
-                  </div>
-                  <div class="olist arabic">
-                    <ol class="arabic">
-                      <li>
-                        <p>Open the <code>radius82.aim</code>, and before clicking Apply, deselect Data on Cells</p>
-                      </li>
-                      <li>
-                        <p>Add a Contour filter. The default contour value (63.5) is fine.</p>
-                      </li>
-                      <li>
-                        <p>In View Options, add a Headlight with value 0.06.</p>
-                      </li>
-                    </ol>
-                  </div>
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="sect3">
-            <h4 id="_generating_the_model_with_n88modelgenerator">7.3.1. Generating the model with n88modelgenerator
-            </h4>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="paragraph">
-              <p>We are going to apply a bending test, as described in
-                <a href="#bending_test">Bending test</a>. In order to identify the rough head of the
-                bone as a boundary surface, we use the option
-                <a href="#n88modelgenerator_bottom_surface">bottom_surface=visible</a>.
-                As it implies, it will select nodes that are visible from a certain point of
-                view. In this case, visible means &#8220;looking up from below&#8221; (effectively
-                from an infinite distance, as parallel rays are used). Note that the
-                distal head of the bone is in the &#8220;bottom&#8221; of the image, that is at
-                smaller values of <em>z</em>. With this option, you can imagine that we might
-                &#8220;see&#8221; parts of the object that are far away if they are not obscured by
-                the foreground part of the image. We don&#8217;t want these distant parts of the object
-                to form part of our boundary set, so when we use the
-                <a href="#n88modelgenerator_bottom_surface">bottom_surface=visible</a>
-                option, we nearly always want to set a depth limit as well using
-                <a href="#n88modelgenerator_bottom_surface_maximum_depth">bottom_surface_maximum_depth</a>.
-                In this case a suitable limit is 15 (units are the same as the image units,
-                which are millimeters in this case). In general there may be a bit of
-                experimentation to get the best depth limit.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>Since we have several parameters that we want to specify, it will be more
-                convenient to create a configuration file for
-                <a href="#n88modelgenerator">n88modelgenerator</a> than to specify them individually
-                on the command line, as we have done previously. To do this, open
-                a text editor, and create the following file. Save it to your working
-                directory as <code>radius_bending_test.conf</code>.
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># File: radius_bending_test.conf
+</div>
+</div>
+<div class="paragraph">
+<p>We have a number of new solution fields (or variables). Some are defined on
+the nodes and some defined on the elements. For details on these
+fields, see <a href="#n88derivedfields">n88derivedfields</a>.</p>
+</div>
+<div class="admonitionblock important">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/important.png" alt="Important">
+</td>
+<td class="content">
+Even if you are not interested in the numerical values of the
+fields added by <a href="#n88derivedfields">n88derivedfields</a>, they are required
+by <a href="#n88postfaim">n88postfaim</a>. Running the latter requires first running
+the former.
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_using_n88postfaim_to_generate_the_analysis_file">7.2.5. Using n88postfaim to generate the analysis file</h4>
+<div class="paragraph">
+<p>The final step performed by <a href="#faim">faim</a> is to call <a href="#n88postfaim">n88postfaim</a>,
+which does post-processing analysis. In the previous
+tutorial we saw that an analysis file was generated, which is a text
+file with a number of tables summarizing the numerical results.
+It is <a href="#n88postfaim">n88postfaim</a> that generates this text file. To run
+it on an <code>n88model</code> file that contains all the solution fields is
+once again straightforward in most cases,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88postfaim -o analysis.txt radius_slice82_uniaxial.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>Note that unlike the previous commands, for <a href="#n88postfaim">n88postfaim</a>
+we actually have to specify an output file with <code>-o analysis.txt</code>.
+(If we don&#8217;t, then the output will just be printed to the terminal.)
+The <a href="#faim">faim</a> command, which combines <code>n88solver_slt</code>, <code>n88derivedfields</code>,
+and <code>n88postfaim</code>, would have automatically generated the filename
+<code>radius_slice82_uniaxial_analysis.txt</code> in this case, but that is
+getting a little bit lengthy, so we&#8217;ll just use <code>analysis.txt</code> here.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_determining_load_sharing_distribution_with_n88postfaim">7.2.6. Determining load sharing distribution with n88postfaim</h4>
+<div class="paragraph">
+<p>We already saw some of the values in the analysis file in the previous
+tutorial. For this tutorial, we are going to have a look at table
+<a href="#n88postfaim_load_sharing">Load Sharing</a>, as shown in
+<a href="#radius_slice_load_sharing">Figure 27</a>. We see that this table breaks up the
+total load on each node set according to material ID. In this case,
+we have material ID 127 being cortical bone, and material ID 100 being
+trabecular bone. Recall that the material properties are not different; it is
+merely a different labelling. Here we will see the reason for doing this.
+Recall also that the sets defined for post-processing are the
+top and the bottom surfaces. (If you&#8217;re not sure of this then the command
+<code>n88modelinfo --problems radius_slice82_uniaxial.n88model</code> will show you.)
+Because of the alignment in the CT scanner, in this case the top surface
+is proximal, and the bottom surface is distal.
+Referring to the values circled in red in <a href="#radius_slice_load_sharing">Figure 27</a>, we
+conclude that on the proximal surface of this radius bone slice, the
+proportion of the load carried by
+the trabecular bone is (-806) / (-5199) = 15.5%, while on the distal
+surface of the slice the proportion of the load carried by
+the trabecular bone is (3637) / (5199) = 70.0%.</p>
+</div>
+<div id="radius_slice_load_sharing" class="imageblock">
+<div class="content">
+<img src="images/radius_slice_load_sharing_hr.png" alt="radius slice load sharing hr">
+</div>
+<div class="title">Figure 27. Load Sharing table in analysis file.</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_enabling_compression_for_large_model_files">7.2.7. Enabling compression for large model files</h4>
+<div class="paragraph">
+<p>The <code>n88model</code> file format supports compression internally and transparently.
+An <code>n88model</code> which contains compressed data can be read with every N88 tool just like
+any other <code>n88model</code>, without the need for the user to explicitly
+de-compress the data. Compression is not used by default, because it
+does have an increased calculation overhead for reading and writing
+(particularly for writing). However, once we are finished with processing
+the model, we typically want to keep the data around for archival
+purposes. It is recommended to compress the <code>n88model</code> files for archiving.
+This can be done with the <a href="#n88compress">n88compress</a> tool, as follows,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88compress radius_slice82_uniaxial.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>For this data file, enabling compression reduces its size from 438 MB to
+226 MB, a reduction of 47%.</p>
+</div>
+<div class="paragraph">
+<p>This ends the tutorial on a compression test on a radius bone slice. We
+were introduced to <a href="#n88modelinfo">n88modelinfo</a>, we solved a realistic
+model, we looked at using the residuals to evaluate the quality of the
+solution, we saw how to do load distribution calculations, and finally we
+learned how to enable compression to more efficiently
+store large <code>n88model</code> files.</p>
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="radius_bending_tutorial">7.3. Tutorial: Bending test of a radius bone with an uneven surface</h3>
+<div class="paragraph">
+<p>In the previous two tutorials, we had input images where the object in the
+image intersected the top and bottom bounds of the image, thus forming
+nice flat surfaces to which we could apply boundary conditions. This
+won&#8217;t always be the case. In this tutorial we&#8217;ll look at an object
+with a very uneven surface.</p>
+</div>
+<div class="paragraph">
+<p>In detail, this tutorial will demonstrate:</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p>How to use the uneven surface parameters of <a href="#n88modelgenerator">n88modelgenerator</a>.</p>
+</li>
+<li>
+<p>How to use <a href="#n88extractsets">n88extractsets</a> to examine our boundary
+conditions.</p>
+</li>
+</ul>
+</div>
+<div class="paragraph">
+<p>The data file is <code>radius82.aim</code>. As for the previous tutorial, there
+is also a reduced resolution version, <code>radius164.aim</code>. This data
+is particularly large, with the unreduced version having a
+size of 400&#215;350&#215;1100, or 154 million voxels; the resulting
+finite element model will have 14 million elements.</p>
+</div>
+<div class="paragraph">
+<p>The input image is shown in <a href="#radius_bending_input">Figure 28</a>.</p>
+</div>
+<div id="radius_bending_input" class="imageblock">
+<div class="content">
+<img src="images/radius_bending_input_hr.png" alt="radius bending input hr">
+</div>
+<div class="title">Figure 28. Radius bone image for bending test.</div>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>In this tutorial, we are no longer going to go into detail on how
+to load and render data in ParaView, as we did in the previous two
+tutorials. If you&#8217;re curious about how we generated that image of the
+radius bone from the image file, these are the steps:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>Open the <code>radius82.aim</code>, and before clicking Apply, deselect Data on Cells</p>
+</li>
+<li>
+<p>Add a Contour filter. The default contour value (63.5) is fine.</p>
+</li>
+<li>
+<p>In View Options, add a Headlight with value 0.06.</p>
+</li>
+</ol>
+</div>
+</td>
+</tr>
+</table>
+</div>
+<div class="sect3">
+<h4 id="_generating_the_model_with_n88modelgenerator">7.3.1. Generating the model with n88modelgenerator</h4>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>We are going to apply a bending test, as described in
+<a href="#bending_test">Bending test</a>. In order to identify the rough head of the
+bone as a boundary surface, we use the option
+<a href="#n88modelgenerator_bottom_surface">bottom_surface=visible</a>.
+As it implies, it will select nodes that are visible from a certain point of
+view. In this case, visible means &#8220;looking up from below&#8221; (effectively
+from an infinite distance, as parallel rays are used). Note that the
+distal head of the bone is in the &#8220;bottom&#8221; of the image, that is at
+smaller values of <em>z</em>. With this option, you can imagine that we might
+&#8220;see&#8221; parts of the object that are far away if they are not obscured by
+the foreground part of the image. We don&#8217;t want these distant parts of the object
+to form part of our boundary set, so when we use the
+<a href="#n88modelgenerator_bottom_surface">bottom_surface=visible</a>
+option, we nearly always want to set a depth limit as well using
+<a href="#n88modelgenerator_bottom_surface_maximum_depth">bottom_surface_maximum_depth</a>.
+In this case a suitable limit is 15 (units are the same as the image units,
+which are millimeters in this case). In general there may be a bit of
+experimentation to get the best depth limit.</p>
+</div>
+<div class="paragraph">
+<p>Since we have several parameters that we want to specify, it will be more
+convenient to create a configuration file for
+<a href="#n88modelgenerator">n88modelgenerator</a> than to specify them individually
+on the command line, as we have done previously. To do this, open
+a text editor, and create the following file. Save it to your working
+directory as <code>radius_bending_test.conf</code>.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># File: radius_bending_test.conf
 #
 # A configuration file for the radius bending tutorial.
 
@@ -9633,299 +7070,330 @@ <h4 id="_generating_the_model_with_n88modelgenerator">7.3.1. Generating the mode
 test                          = bending
 bottom_surface                = visible
 bottom_surface_maximum_depth  = 15</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Lines starting with # are comment lines: any line starting with # is
-                ignored.</p>
-            </div>
-            <div class="paragraph">
-              <p>We can now run <a href="#n88modelgenerator">n88modelgenerator</a> by specifying
-                only the configuration file to use:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88modelgenerator --config radius_bending_test.conf</pre>
-              </div>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    Some text editors automatically add a <code>.txt</code> file extension.
-                    You can either
-                    subsequently rename the file, or just accept the <code>.txt</code> ending and
-                    everywhere in this tutorial use the actual complete file name. Even more
-                    confusing can be that many operating systems by default hide the
-                    file extension in the file browser, so that you may save a file as
-                    <code>radius_bending_test.conf</code>,
-                    and the file browser in your operating system shows it with this name,
-                    but its complete name is actually <code>radius_bending_test.conf.txt</code>. The
-                    complete name must be specified to all Numerics88 tools.
-                  </td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_using_n88extractsets_to_obtain_and_visualize_boundary_conditions">7.3.2. Using n88extractsets to
-              obtain and visualize boundary conditions</h4>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="paragraph">
-              <p>Because this is a non-trivial boundary set, we really want to
-                visualize it to make sure it is reasonable and that it corresponds to
-                what we expect. The
-                best way to do this is with the tool <a href="#n88extractsets">n88extractsets</a>.
-                This is the command to use:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88extractsets --constraints radius82_bending.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Here &#8220;--constraints&#8221; means both boundary conditions and applied loads.
-                (We can leave off this option, but then we will get even more output files
-                which in the present case we are not interested in.)</p>
-            </div>
-            <div class="paragraph">
-              <p>The output looks like this:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>Reading N88 Model file : radius82_bending.n88model
+</div>
+</div>
+<div class="paragraph">
+<p>Lines starting with # are comment lines: any line starting with # is
+ignored.</p>
+</div>
+<div class="paragraph">
+<p>We can now run <a href="#n88modelgenerator">n88modelgenerator</a> by specifying
+only the configuration file to use:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelgenerator --config radius_bending_test.conf</pre>
+</div>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+Some text editors automatically add a <code>.txt</code> file extension.
+You can either
+subsequently rename the file, or just accept the <code>.txt</code> ending and
+everywhere in this tutorial use the actual complete file name. Even more
+confusing can be that many operating systems by default hide the
+file extension in the file browser, so that you may save a file as <code>radius_bending_test.conf</code>,
+and the file browser in your operating system shows it with this name,
+but its complete name is actually <code>radius_bending_test.conf.txt</code>. The
+complete name must be specified to all Numerics88 tools.
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_using_n88extractsets_to_obtain_and_visualize_boundary_conditions">7.3.2. Using n88extractsets to obtain and visualize boundary conditions</h4>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>Because this is a non-trivial boundary set, we really want to
+visualize it to make sure it is reasonable and that it corresponds to
+what we expect. The
+best way to do this is with the tool <a href="#n88extractsets">n88extractsets</a>.
+This is the command to use:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88extractsets --constraints radius82_bending.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>Here &#8220;--constraints&#8221; means both boundary conditions and applied loads.
+(We can leave off this option, but then we will get even more output files
+which in the present case we are not interested in.)</p>
+</div>
+<div class="paragraph">
+<p>The output looks like this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Reading N88 Model file : radius82_bending.n88model
 Writing constraint : radius82_bending_constraint_bottom_fixed.vtp
 Writing constraint : radius82_bending_constraint_top_fixed.vtp
 Writing constraint : radius82_bending_constraint_top_displacement.vtp
 Writing constraint : radius82_bending_constraint_bottom_displacement.vtp</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>We see that four files are generated, one for each constraint.
-                These are VTK &#8220;PolyData&#8221; files, which consist of a set of &#8220;Vertices&#8221;
-                (points), one for each node in the boundary condition set.
-                <a href="#n88modelgenerator">n88modelgenerator</a> has separated the &#8220;fixed&#8221; constraints,
-                which are degrees of freedom that are fixed at zero, and the
-                &#8220;displacement&#8221; constraints, which are degrees of freedom that are fixed
-                at some non-zero value. This distinction is sometimes useful, although
-                the solver does not require it. In this case the nodes belonging to
-                the constraint or boundary condition have <em>x</em> and <em>y</em> fixed at zero,
-                and <em>z</em> at non-zero values. Thus the &#8220;fixed&#8221; and &#8220;displacement&#8221; sets
-                will consist of the same set of nodes, but with different senses and
-                values. We are going to open the file <code>radius82_bending_constraint_bottom_displacement.vtp</code>
-                displacement and render it together with the contoured input image. This
-                is shown in <a href="#radius_bending_boundary_points">Figure 27</a>. Each individual
-                node belonging to the boundary condition is shown as a blue dot.
-              </p>
-            </div>
-            <div id="radius_bending_boundary_points" class="imageblock">
-              <div class="content">
-                <img src="images/radius_bending_boundary_points_hr.png" alt="radius bending boundary points hr">
-              </div>
-              <div class="title">Figure 27. Set of nodes on bottom boundary condition for radius bone bending test.
-              </div>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    <div class="paragraph">
-                      <p>Generating this image is quite straightforward. We start with the
-                        contoured input image data, as above, then we also open the file
-                        <code>radius82_bending_constraint_bottom_displacement.vtp</code>, and simply render it as
-                        &#8220;Solid Color&#8221;, setting the color to blue.
-                      </p>
-                    </div>
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>This looks good so we can go ahead and solve this model with <a href="#faim">faim</a>.
-                Expect this to take a while - go grab a coffee.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>faim radius82_bending.n88model</pre>
-              </div>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    <div class="paragraph">
-                      <p>Just as in the previous model, if you have licensed the GPU solvers,
-                        and have suitable GPU hardware, then you are going to want to use it.
-                        <a href="#faim">faim</a> can take all the arguments that <a href="#n88solver">n88solver</a>
-                        can so for example:
-                      </p>
-                    </div>
-                    <div class="listingblock">
-                      <div class="content">
-                        <pre>faim --engine=nv --device=0,1 radius82_bending.n88model</pre>
-                      </div>
-                    </div>
-                    <div class="paragraph">
-                      <p>where as before the device list will depend on the number of GPUs in
-                        your system and their configuration .</p>
-                    </div>
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>As this is a very large file, once solved we should enable compression
-                as in the previous tutorial. Compression can take a rather long time
-                on a file this large. Remember that it is never necessary to uncompress
-                an n88model file before reading it.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88compress radius82_bending.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>A comparison of the original input image with the solved model is shown
-                in <a href="#radius_bending_bent">Figure 28</a>. Here we have used a Warp By Vector filter
-                with a Scale Factor of 15 to make the distortion more evident to the
-                eye.</p>
-            </div>
-            <div id="radius_bending_bent" class="imageblock">
-              <div class="content">
-                <img src="images/radius_bending_bent_hr.png" alt="radius bending bent hr">
-              </div>
-              <div class="title">Figure 28. Comparison of original input and solved model of bending radius bone, with
-                15 times displacement amplification.</div>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    <div class="paragraph">
-                      <p>Generating an attractive rendering of the solved model (or any <code>n88model</code>
-                        file) with ParaView takes a few additional steps. We saw that with an input image, we could use
-                        the Contour filter to get a nice surface with curvature that reflects the
-                        light in ways that give us visual clues about the shape of the object.
-                        An <code>n88model</code> file by contrast consists of a collection of cubic voxels,
-                        each of which has flat surfaces (however small they may be), all oriented the
-                        same. A direct
-                        rendering of it therefore lacks the visual lighting cues that we expect.
-                        With a few additional steps, we can convert it to a smooth
-                        surface with curvature. For <a href="#radius_bending_bent">Figure 28</a> we applied the
-                        following steps (to the result of the Warp By Vector filter):</p>
-                    </div>
-                    <div class="olist arabic">
-                      <ol class="arabic">
-                        <li>
-                          <p>Apply an Extract Surface filter. This converts the data from
-                            an Unstructured Grid (in this case a bunch of Hexahedrons) to a surface
-                            consisting of Polygons.</p>
-                        </li>
-                        <li>
-                          <p>Apply a Smooth filter with Number of Iterations set to 300.</p>
-                        </li>
-                      </ol>
-                    </div>
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Another useful way to render this data is coloured by von Mises stress.
-                See <a href="#n88derivedfields_von_mises_stress">VonMisesStress</a>.
-                This is shown in <a href="#radius_bending_von_mises">Figure 29</a>.</p>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    You will want to manually set the scale of the coloring for von Mises
-                    stress, as the uneven contact surface has locally very high stresses, which
-                    however are uninteresting (and even unphysical, as the microscopic contact
-                    surface irregularities would yield). You can adjust the range by selecting
-                    Color Map Editor from the View menu, then click on the Rescale to Custom Range
-                    button to the left of the color map plot.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div id="radius_bending_von_mises" class="imageblock">
-              <div class="content">
-                <img src="images/radius_bending_von_mises.png" alt="radius bending von mises">
-              </div>
-              <div class="title">Figure 29. Radius in bending test with coloring by von Mises stress</div>
-            </div>
-            <div class="paragraph">
-              <p>Showing the von Mises stress as in <a href="#radius_bending_von_mises">Figure 29</a> is
-                informative, but only indicates the stress on the visible surfaces.
-                Often we will want to look at the stresses within the volume. One way to
-                do this is with a Slice filter. This is shown in <a href="#radius_bending_vm_slice">Figure 30</a>.
-                Without going into a great deal of detail, you can see the filters used
-                in this rendering in the Pipeline Browser.</p>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    The Slice filter should be used on volume data, and not on surface
-                    data. Notice that in <a href="#radius_bending_von_mises">Figure 29</a> we&#8217;ve applied the Slice
-                    filter to the output of WarpByVector1, and not to ExtractSurface1 or
-                    anything derived from it.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div id="radius_bending_vm_slice" class="imageblock">
-              <div class="content">
-                <img src="images/radius_bending_vm_slice.png" alt="radius bending vm slice">
-              </div>
-              <div class="title">Figure 30. von Mises stress on a slice of the radius in bending test</div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_numerical_results">7.3.3. Numerical results</h4>
-            <div class="paragraph">
-              <p>The interesting quantity in the analysis file
-                <code>radius82_bending_analysis.txt</code> (see <a href="#analysis_file_def">the section on
-                  post-processing with n88postfaim</a>) is the torque around
-                the bending axis, which in this case is in the <em>y</em> direction. Refer to
-                <a href="#bending_test_figure">Figure 8</a>. This quantity
-                is given as the <code>total</code> of <code>Ty</code> in the following table from
-                <code>radius82_bending_analysis.txt</code>. By default, this is calculated
-                around the center of mass of
-                the object, although you can re-run <a href="#n88postfaim">n88postfaim</a> and
-                specify an argument for the argument <a href="#n88postfaim_rotation_center">rotation_center</a>
-                if you want the torques calculated around an axis passing through a different
-                point. Because the head of the bone is &#8220;down&#8221;
-                in the sense of smaller <em>z</em>, <code>face_z0</code> is the head of the bone, and
-                <code>face_z1</code> is the cut face of the shaft. In any case, we can see that the torques
-                balance. The numerical value of the <em>y</em> compenent of the torque is
-                1997 N&#183;mm (see <a href="#note_about_units">A note about units</a>), or 1.997 N&#183;m.
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>============================================================================
+</div>
+</div>
+<div class="paragraph">
+<p>We see that four files are generated, one for each constraint.
+These are VTK &#8220;PolyData&#8221; files, which consist of a set of &#8220;Vertices&#8221;
+(points), one for each node in the boundary condition set.
+<a href="#n88modelgenerator">n88modelgenerator</a> has separated the &#8220;fixed&#8221; constraints,
+which are degrees of freedom that are fixed at zero, and the
+&#8220;displacement&#8221; constraints, which are degrees of freedom that are fixed
+at some non-zero value. This distinction is sometimes useful, although
+the solver does not require it. In this case the nodes belonging to
+the constraint or boundary condition have <em>x</em> and <em>y</em> fixed at zero,
+and <em>z</em> at non-zero values. Thus the &#8220;fixed&#8221; and &#8220;displacement&#8221; sets
+will consist of the same set of nodes, but with different senses and
+values. We are going to open the file <code>radius82_bending_constraint_bottom_displacement.vtp</code>
+displacement and render it together with the contoured input image. This
+is shown in <a href="#radius_bending_boundary_points">Figure 29</a>. Each individual
+node belonging to the boundary condition is shown as a blue dot.</p>
+</div>
+<div id="radius_bending_boundary_points" class="imageblock">
+<div class="content">
+<img src="images/radius_bending_boundary_points_hr.png" alt="radius bending boundary points hr">
+</div>
+<div class="title">Figure 29. Set of nodes on bottom boundary condition for radius bone bending test.</div>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>Generating this image is quite straightforward. We start with the
+contoured input image data, as above, then we also open the file
+<code>radius82_bending_constraint_bottom_displacement.vtp</code>, and simply render it as
+&#8220;Solid Color&#8221;, setting the colour to blue.</p>
+</div>
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>This looks good so we can go ahead and solve this model with <a href="#faim">faim</a>.
+Expect this to take a while - go grab a coffee.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>faim radius82_bending.n88model</pre>
+</div>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>Just as in the previous model, if you have licensed the GPU solvers,
+and have suitable GPU hardware, then you are going to want to use it.
+<a href="#faim">faim</a> can take all the arguments that <a href="#n88solver">n88solver</a>
+can so for example:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>faim --engine=nv --device=0,1 radius82_bending.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>where as before the device list will depend on the number of GPUs in
+your system and their configuration .</p>
+</div>
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>As this is a very large file, once solved we should enable compression
+as in the previous tutorial. Compression can take a rather long time
+on a file this large. Remember that it is never necessary to uncompress
+an n88model file before reading it.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88compress radius82_bending.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>A comparison of the original input image with the solved model is shown in <a href="#radius_bending_bent">Figure 31</a>. Here we have used a Warp By Vector filter with a Scale Factor of 15 to make the distortion more evident to the eye.</p>
+</div>
+<div class="paragraph">
+<p>You can find the Warp By Vector filter icon on the main toolbar. See <a href="#warp_by_vector_button">Figure 19</a>.</p>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+If you cannot find the toolbar icon, you can also access it via Filters → Common → Warp By Vector.
+</td>
+</tr>
+</table>
+</div>
+<div id="warp_by_vector_button" class="imageblock">
+<div class="content">
+<img src="images/warp_by_vector_button.png" alt="warp by vector button">
+</div>
+<div class="title">Figure 30. Warp By Vector button in the ParaView toolbar</div>
+</div>
+<div id="radius_bending_bent" class="imageblock">
+<div class="content">
+<img src="images/radius_bending_bent_hr.png" alt="radius bending bent hr">
+</div>
+<div class="title">Figure 31. Comparison of original input and solved model of bending radius bone, with 15 times displacement amplification.</div>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>Generating an attractive rendering of the solved model (or any <code>n88model</code>
+file) with ParaView takes a few additional steps. We saw that with an input image, we could use
+the Contour filter to get a nice surface with curvature that reflects the
+light in ways that give us visual clues about the shape of the object.
+An <code>n88model</code> file by contrast consists of a collection of cubic voxels,
+each of which has flat surfaces (however small they may be), all oriented the
+same. A direct
+rendering of it therefore lacks the visual lighting cues that we expect.
+With a few additional steps, we can convert it to a smooth
+surface with curvature. For <a href="#radius_bending_bent">Figure 31</a> we applied the
+following steps (to the result of the Warp By Vector filter):</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>Apply an Extract Surface filter by clicking the <em>Filters</em> tab on the toolbar to the top of the screen. Use the search or alphabetical function to locate and apply the <em>Extract Surface</em> filter.  Applying this filter converts the data from an Unstructured Grid (in this case a bunch of Hexahedrons) to a surface consisting of Polygons.</p>
+</li>
+<li>
+<p>Apply a Smooth filter with Number of Iterations set to 300.</p>
+</li>
+</ol>
+</div>
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Another useful way to render this data is coloured by von Mises stress.
+See <a href="#n88derivedfields_von_mises_stress">VonMisesStress</a>.
+This is shown in <a href="#radius_bending_von_mises">Figure 35</a>.</p>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>You will want to manually set the scale of the colouring for von Mises
+stress, as the uneven contact surface has locally very high stresses, which
+however are uninteresting (and even unphysical, as the microscopic contact
+surface irregularities would yield). You can adjust the range by using the Color Map Editor. To access this, select the <em>View</em> tab at the top of the screen and then select Color Map Editor from the dropdown menu. Alternatively, you can also select the Color Map Editor button on the top left of the toolbar. See <a href="#color_map_editor_button">Figure 32</a>.</p>
+</div>
+<div id="color_map_editor_button" class="imageblock">
+<div class="content">
+<img src="images/color_map_editor_button.png" alt="color map editor button">
+</div>
+<div class="title">Figure 32. Color Map Editor button in the ParaView toolbar</div>
+</div>
+<div class="paragraph">
+<p>After opening the Color Map Editor, click on the <em>Rescale to Custom Range</em> button to the right of the colour map plot. See <a href="#rescale_to_custom_range_button">Figure 33</a>.</p>
+</div>
+<div id="rescale_to_custom_range_button" class="imageblock">
+<div class="content">
+<img src="images/rescale_to_custom_range_button.png" alt="rescale to custom range button">
+</div>
+<div class="title">Figure 33. Rescale to Custom Range button in the Color Map Editor</div>
+</div>
+<div class="paragraph">
+<p>You can also find the <em>Rescale to Custom Range</em> button in the upper left corner of the toolbar. See <a href="#rescale_to_custom_range_button_toolbar">Figure 34</a>.</p>
+</div>
+<div id="rescale_to_custom_range_button_toolbar" class="imageblock">
+<div class="content">
+<img src="images/rescale_to_custom_range_button_toolbar.png" alt="rescale to custom range button toolbar">
+</div>
+<div class="title">Figure 34. Rescale to Custom Range button in the ParaView toolbar</div>
+</div>
+</td>
+</tr>
+</table>
+</div>
+<div id="radius_bending_von_mises" class="imageblock">
+<div class="content">
+<img src="images/radius_bending_von_mises.png" alt="radius bending von mises">
+</div>
+<div class="title">Figure 35. Radius in bending test with colouring by von Mises stress</div>
+</div>
+<div class="paragraph">
+<p>Showing the von Mises stress as in <a href="#radius_bending_von_mises">Figure 35</a> is
+informative, but only indicates the stress on the visible surfaces.
+Often we will want to look at the stresses within the volume. One way to
+do this is with a Slice filter. This is shown in <a href="#radius_bending_vm_slice">Figure 36</a>.
+Without going into a great deal of detail, you can see the filters used
+in this rendering in the Pipeline Browser.</p>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+The Slice filter should be used on volume data, and not on surface
+data. Notice that in <a href="#radius_bending_von_mises">Figure 35</a> we&#8217;ve applied the Slice
+filter to the output of WarpByVector1, and not to ExtractSurface1 or
+anything derived from it.
+</td>
+</tr>
+</table>
+</div>
+<div id="radius_bending_vm_slice" class="imageblock">
+<div class="content">
+<img src="images/radius_bending_vm_slice.png" alt="radius bending vm slice">
+</div>
+<div class="title">Figure 36. von Mises stress on a slice of the radius in bending test</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_numerical_results">7.3.3. Numerical results</h4>
+<div class="paragraph">
+<p>The interesting quantity in the analysis file
+<code>radius82_bending_analysis.txt</code> (see <a href="#analysis_file_def">the section on post-processing with n88postfaim</a>) is the torque around
+the bending axis, which in this case is in the <em>y</em> direction. Refer to
+<a href="#bending_test_figure">Figure 8</a>. This quantity
+is given as the <code>total</code> of <code>Ty</code> in the following table from
+<code>radius82_bending_analysis.txt</code>. By default, this is calculated
+around the center of mass of
+the object, although you can re-run <a href="#n88postfaim">n88postfaim</a> and
+specify an argument for the argument <a href="#n88postfaim_rotation_center">rotation_center</a>
+if you want the torques calculated around an axis passing through a different
+point. Because the head of the bone is &#8220;down&#8221;
+in the sense of smaller <em>z</em>, <code>face_z0</code> is the head of the bone, and
+<code>face_z1</code> is the cut face of the shaft. In any case, we can see that the torques
+balance. The numerical value of the <em>y</em> compenent of the torque is
+1997 N&#183;mm (see <a href="#note_about_units">A note about units</a>), or 1.997 N&#183;m.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>============================================================================
 Table 11: Nodal Torques
 ---------------------------------------------------------------------------
 Torque measured relative to:                            60.502 94.130 48.216
@@ -9952,45 +7420,42 @@ <h4 id="_numerical_results">7.3.3. Numerical results</h4>
 maximum     2.722E+01  8.554E+01  2.405E+01
 median     -2.631E-02 -7.920E-01 -1.935E-02
 ============================================================================</pre>
-              </div>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="radius_bending_elastoplastic_tutorial">7.4. Tutorial: Radius bending with elasto-plastic material
-            properties</h3>
-          <div class="paragraph">
-            <p>In this tutorial, we are going to repeat the radius bending test
-              of the previous tutorial, but this time we will use nonlinear
-              elasto-plastic material properties. We recommend that you first read the
-              section on <a href="#plasticity">Plasticity</a>.</p>
-          </div>
-          <div class="sect3">
-            <h4 id="_creating_the_model">7.4.1. Creating the model</h4>
-            <div class="paragraph">
-              <p>Because nonlinear models take substantially longer to solve than
-                linear models, for this tutorial we are going to use the
-                reduced-resolution image file <code>radius164.aim</code>. However, if you
-                have the processing power and the time to obtain solutions, and
-                you want to use the original resolution file <code>radius82.aim</code>, you
-                can of course do so.</p>
-            </div>
-            <div class="paragraph">
-              <p>Creating a model with elasto-plastic material properties with
-                <code>n88modelgenerator</code> is straight-forward: one simply has to set the
-                <a href="#n88modelgenerator_plasticity">plasticity</a> option. For example, the
-                following configuration file is similar to the one in the last tutorial,
-                but we have added <code>plasticity = vonmises,10</code>. This means that we
-                want a <em>von Mises</em> yield criterion (see <a href="#von_mises_material">von Mises yield
-                  criterion</a>) with a yield strength of 10 MPa. There
-                is no scientific justification for choosing this numerical value
-                for the yield strength: it was chosen simply because it produces
-                interesting results for this tutorial.
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># File: radius_bending_elastoplastic.conf
+</div>
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="radius_bending_elastoplastic_tutorial">7.4. Tutorial: Radius bending with elasto-plastic material properties</h3>
+<div class="paragraph">
+<p>In this tutorial, we are going to repeat the radius bending test
+of the previous tutorial, but this time we will use nonlinear
+elasto-plastic material properties. We recommend that you first read the
+section on <a href="#plasticity">Plasticity</a>.</p>
+</div>
+<div class="sect3">
+<h4 id="_creating_the_model">7.4.1. Creating the model</h4>
+<div class="paragraph">
+<p>Because nonlinear models take substantially longer to solve than
+linear models, for this tutorial we are going to use the
+reduced-resolution image file <code>radius164.aim</code>. However, if you
+have the processing power and the time to obtain solutions, and
+you want to use the original resolution file <code>radius82.aim</code>, you
+can of course do so.</p>
+</div>
+<div class="paragraph">
+<p>Creating a model with elasto-plastic material properties with
+<code>n88modelgenerator</code> is straight-forward: one simply has to set the
+<a href="#n88modelgenerator_plasticity">plasticity</a> option. For example, the
+following configuration file is similar to the one in the last tutorial,
+but we have added <code>plasticity = vonmises,10</code>. This means that we
+want a <em>von Mises</em> yield criterion (see <a href="#von_mises_material">von Mises yield criterion</a>) with a yield strength of 10 MPa. There
+is no scientific justification for choosing this numerical value
+for the yield strength: it was chosen simply because it produces
+interesting results for this tutorial.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># File: radius_bending_elastoplastic.conf
 #
 # A configuration file for the tutorial: radius bending with
 # elasto-plastic material properties.
@@ -10001,32 +7466,32 @@ <h4 id="_creating_the_model">7.4.1. Creating the model</h4>
 bottom_surface                 = visible
 bottom_surface_maximum_depth   = 15
 plasticity                     = vonmises,10</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>As before, we generate the model with</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88modelgenerator --config radius_bending_elastoplastic.conf</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>We can verify that the resulting model file has elasto-plastic
-                material definitions using the handy <a href="#n88modelinfo">n88modelinfo</a>
-                command,</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88modelinfo --materials radius_bending_elastoplastic.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>The output is</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>Materials:
+</div>
+</div>
+<div class="paragraph">
+<p>As before, we generate the model with</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelgenerator --config radius_bending_elastoplastic.conf</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>We can verify that the resulting model file has elasto-plastic
+material definitions using the handy <a href="#n88modelinfo">n88modelinfo</a>
+command,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelinfo --materials radius_bending_elastoplastic.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>The output is</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Materials:
 ----------------------------------------------------------------------
 
   Name : NewMaterial1
@@ -10035,51 +7500,51 @@ <h4 id="_creating_the_model">7.4.1. Creating the model</h4>
   nu : 0.3
   Y : 10.0
 ----------------------------------------------------------------------</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_solving_the_model_3">7.4.2. Solving the model</h4>
-            <div class="paragraph">
-              <p>We can solve the model with <a href="#faim">faim</a>,</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>faim radius_bending_elastoplastic.n88model</pre>
-              </div>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    <div class="paragraph">
-                      <p>As before, if you have licensed the GPU solvers,
-                        and have suitable GPU hardware, then you are going to want to use
-                        the <a href="#n88solver_engine">engine</a> and <a href="#n88solver_device">device</a>
-                        options to obtain faster solutions.</p>
-                    </div>
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Let us look into the file to see what fields are present for a solved
-                elasto-plastic model. The command to list the solutions is, as before,</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88modelinfo --solutions radius_bending_elastoplastic.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>this gives an output of</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>Solutions:
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_solving_the_model_3">7.4.2. Solving the model</h4>
+<div class="paragraph">
+<p>We can solve the model with <a href="#faim">faim</a>,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>faim radius_bending_elastoplastic.n88model</pre>
+</div>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>As before, if you have licensed the GPU solvers,
+and have suitable GPU hardware, then you are going to want to use
+the <a href="#n88solver_engine">engine</a> and <a href="#n88solver_device">device</a>
+options to obtain faster solutions.</p>
+</div>
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Let us look into the file to see what fields are present for a solved
+elasto-plastic model. The command to list the solutions is, as before,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelinfo --solutions radius_bending_elastoplastic.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>this gives an output of</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Solutions:
 ----------------------------------------------------------------------
 
   Name : Solution1
@@ -10096,128 +7561,123 @@ <h4 id="_solving_the_model_3">7.4.2. Solving the model</h4>
   Variables defined on gauss points:
     PlasticStrain
 ----------------------------------------------------------------------</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Everything here is as before for linear solutions, with the addition
-                of a new field <code>PlasticStrain</code>. <code>PlasticStrain</code> is the irreversible strain
-                that arises from exceeding the elastic limits as defined by the yield
-                surface.
-                See <a href="#n88derivedfields_plastic_strain">PlasticStrain</a> in the section <a
-                  href="#using_n88derivedfields">Calculating additional solution fields with n88derivedfields</a>.
-                You may also note that <em>variables defined on gauss points</em> is a new
-                category. In essence, this is a higher accuracy version of <em>variables defined
-                  on elements</em>, and it is required for accurately processing
-                elastoplastic models.</p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_rendering_yielded_elements">7.4.3. Rendering yielded elements</h4>
-            <div class="paragraph">
-              <p>We can use ParaView to open the solved model file
-                <code>radius_bending_elastoplastic.n88model</code>. In <a href="#radius_yielded_1">Figure 33</a>
-                we&#8217;ve rendered the surface of the model such that unyielded elements
-                are shown in grey, while yielded elements are shown in red. For
-                elasto-plastic materials, there is a clear distinction between
-                elements that remain within the elastic limits and therefore have
-                zero plastic strain, and those
-                which have exceeded the elastic limits and have non-zero plastic strain.
-                (where non-zero means that at least one of the 6 components
-                <em>xx</em>, <em>yy</em>, <em>zz</em>, <em>yz</em>, <em>zx</em> and <em>xy</em> of the plastic strain is
-                non-zero).
-                In order to generate the rendering of <a href="#radius_yielded_1">Figure 33</a> we set the
-                <em>Coloring</em> to the <em>Magnitude</em> of <em>PlasticStrain</em>. You can find these
-                in drop-down boxes in the toolbar in ParaView, as shown in
-                <a href="#paraview_plasticstrain_magnitude">Figure 31</a>. Next we will manually set a tiny
-                range for the color scale, thus ensuring that practically every element
-                that is yielded is shown in fully saturated red. If we set a symmetric
-                scale around zero, then unyielded elements, which have a <em>PlasticStrain</em>
-                magnitude of zero, will be drawn in a neutral gray. To set the color
-                scale, click <b class="button">Rescale to Custom Data Range</b>, which is just to
-                the left of the drop-down box for <em>PlasticStrain</em>, as shown in
-                <a href="#paraview_rescale">Figure 32</a>. For this rendering I used a range of -0.00001 to
-                0.00001 . Note that in Paraview, the <em>Magnitude</em> of the <em>PlasticStrain</em>
-                is simply the square root of the sum of the squares of the 6 components
-                of plastic strain. This quantity has no physical
-                interpretation, but it is useful for distinguishing yielded and unyielded
-                elements, as here.
-              </p>
-            </div>
-            <div id="paraview_plasticstrain_magnitude" class="imageblock">
-              <div class="content">
-                <img src="images/paraview_plasticstrain_magnitude.png" alt="paraview plasticstrain magnitude">
-              </div>
-              <div class="title">Figure 31. Setting the color display to the Magnitude of PlasticStrain.</div>
-            </div>
-            <div id="paraview_rescale" class="imageblock">
-              <div class="content">
-                <img src="images/paraview_rescale.png" alt="paraview rescale">
-              </div>
-              <div class="title">Figure 32. The Rescale to Custom Data Range button.</div>
-            </div>
-            <div id="radius_yielded_1" class="imageblock">
-              <div class="content">
-                <img src="images/radius_yielded_1.png" alt="radius yielded 1">
-              </div>
-              <div class="title">Figure 33. Bending radius test with elasto-plastic material properties. Yielded
-                elements are shown in red.</div>
-            </div>
-            <div class="paragraph">
-              <p>What we observe in <a href="#radius_yielded_1">Figure 33</a> rendering
-                is that there are
-                essentially three regions of plastic deformation in this bone
-                subject to a bending force. They are,</p>
-            </div>
-            <div class="ulist">
-              <ul>
-                <li>
-                  <p>The uneven head of the bone. This region yields fundamentally because
-                    the deformation is applied here, and the surface is rough. Rough surfaces
-                    yield easily in localised spots: crudely speaking, you don&#8217;t have to push
-                    very hard on a pointy little protusion to bend it. This yielding is
-                    uninteresting, and if you were to slice the model here, you would find
-                    that the yielding is superficial, that is, not very deep.</p>
-                </li>
-                <li>
-                  <p>On the inside surface of the bend, the bone yields in compression.</p>
-                </li>
-                <li>
-                  <p>On the outside surface of the bend, the bone yields in tension.</p>
-                </li>
-              </ul>
-            </div>
-            <div class="paragraph">
-              <p>You can&#8217;t actually tell from <a href="#radius_yielded_1">Figure 33</a> what
-                is yielding in compression and what in tension, but with a bit more manipulation,
-                we can generate an image that does show this.
-                Since we know <em>a priori</em> that the tension and compression on the sides
-                of the bone shaft will be predominantly in the <em>z</em> direction, we can
-                change the component of <em>YieldStrain</em> from <em>Magnitude</em> to <em>ZZ</em>.
-                (You may need to manually re-adjust the color scale, as ParaView will automatically
-                rescale to the data range when you change the variable for the color.)
-                Elements yielded in compression now show as blue, as in <a href="#radius_yielded_2">Figure 34</a>.
-                We have in addition used a <em>Slice</em> filter, as in the previous tutorial.
-                This allows us to see that the yielded region is rather thick.</p>
-            </div>
-            <div id="radius_yielded_2" class="imageblock">
-              <div class="content">
-                <img src="images/radius_yielded_2.png" alt="radius yielded 2">
-              </div>
-              <div class="title">Figure 34. A slice through the radius. Yielded elements are shown in red for elements
-                yielded in tension, and in blue for elements yielded in compression.</div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_numerical_results_2">7.4.4. Numerical results</h4>
-            <div class="paragraph">
-              <p>In comparison with the linear case, the <em>y</em> component of the torque has
-                dropped about 1.5%, from 1.997 N&#183;m to 1.968 N&#183;m; hence
-                a decrease in stiffness of 1.5%. In conclusion,
-                this amount of plasticity has not significantly affected the results.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>============================================================================
+</div>
+</div>
+<div class="paragraph">
+<p>Everything here is as before for linear solutions, with the addition
+of a new field <code>PlasticStrain</code>. <code>PlasticStrain</code> is the irreversible strain
+that arises from exceeding the elastic limits as defined by the yield
+surface.
+See <a href="#n88derivedfields_plastic_strain">PlasticStrain</a> in the section <a href="#using_n88derivedfields">Calculating additional solution fields with n88derivedfields</a>.
+You may also note that <em>variables defined on gauss points</em> is a new
+category. In essence, this is a higher accuracy version of <em>variables defined
+on elements</em>, and it is required for accurately processing
+elastoplastic models.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_rendering_yielded_elements">7.4.3. Rendering yielded elements</h4>
+<div class="paragraph">
+<p>We can use ParaView to open the solved model file
+<code>radius_bending_elastoplastic.n88model</code>. In <a href="#radius_yielded_1">Figure 39</a>
+we&#8217;ve rendered the surface of the model such that unyielded elements
+are shown in grey, while yielded elements are shown in red. For
+elasto-plastic materials, there is a clear distinction between
+elements that remain within the elastic limits and therefore have
+zero plastic strain, and those
+which have exceeded the elastic limits and have non-zero plastic strain.
+(where non-zero means that at least one of the 6 components
+<em>xx</em>, <em>yy</em>, <em>zz</em>, <em>yz</em>, <em>zx</em> and <em>xy</em> of the plastic strain is non-zero).
+In order to generate the rendering of <a href="#radius_yielded_1">Figure 39</a> we set the
+<em>Coloring</em> to the <em>Magnitude</em> of <em>PlasticStrain</em>. You can find these
+in drop-down boxes in the toolbar in ParaView, as shown in
+<a href="#paraview_plasticstrain_magnitude">Figure 37</a>. Next we will manually set a tiny
+range for the color scale, thus ensuring that practically every element
+that is yielded is shown in fully saturated red. If we set a symmetric
+scale around zero, then unyielded elements, which have a <em>PlasticStrain</em>
+magnitude of zero, will be drawn in a neutral gray. To set the color
+scale, click <b class="button">Rescale to Custom Data Range</b>, which is just to
+the left of the drop-down box for <em>PlasticStrain</em>, as shown in
+<a href="#paraview_rescale">Figure 38</a>. For this rendering I used a range of -0.00001 to
+0.00001 . Note that in Paraview, the <em>Magnitude</em> of the <em>PlasticStrain</em>
+is simply the square root of the sum of the squares of the 6 components
+of plastic strain. This quantity has no physical
+interpretation, but it is useful for distinguishing yielded and unyielded
+elements, as here.</p>
+</div>
+<div id="paraview_plasticstrain_magnitude" class="imageblock">
+<div class="content">
+<img src="images/paraview_plasticstrain_magnitude.png" alt="paraview plasticstrain magnitude">
+</div>
+<div class="title">Figure 37. Setting the color display to the Magnitude of PlasticStrain.</div>
+</div>
+<div id="paraview_rescale" class="imageblock">
+<div class="content">
+<img src="images/paraview_rescale.png" alt="paraview rescale">
+</div>
+<div class="title">Figure 38. The Rescale to Custom Data Range button.</div>
+</div>
+<div id="radius_yielded_1" class="imageblock">
+<div class="content">
+<img src="images/radius_yielded_1.png" alt="radius yielded 1">
+</div>
+<div class="title">Figure 39. Bending radius test with elasto-plastic material properties. Yielded elements are shown in red.</div>
+</div>
+<div class="paragraph">
+<p>What we observe in <a href="#radius_yielded_1">Figure 39</a> rendering
+is that there are
+essentially three regions of plastic deformation in this bone
+subject to a bending force. They are,</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p>The uneven head of the bone. This region yields fundamentally because
+the deformation is applied here, and the surface is rough. Rough surfaces
+yield easily in localised spots: crudely speaking, you don&#8217;t have to push
+very hard on a pointy little protusion to bend it. This yielding is
+uninteresting, and if you were to slice the model here, you would find
+that the yielding is superficial, that is, not very deep.</p>
+</li>
+<li>
+<p>On the inside surface of the bend, the bone yields in compression.</p>
+</li>
+<li>
+<p>On the outside surface of the bend, the bone yields in tension.</p>
+</li>
+</ul>
+</div>
+<div class="paragraph">
+<p>You can&#8217;t actually tell from <a href="#radius_yielded_1">Figure 39</a> what
+is yielding in compression and what in tension, but with a bit more manipulation,
+we can generate an image that does show this.
+Since we know <em>a priori</em> that the tension and compression on the sides
+of the bone shaft will be predominantly in the <em>z</em> direction, we can
+change the component of <em>YieldStrain</em> from <em>Magnitude</em> to <em>ZZ</em>.
+(You may need to manually re-adjust the color scale, as ParaView will automatically
+rescale to the data range when you change the variable for the color.)
+Elements yielded in compression now show as blue, as in <a href="#radius_yielded_2">Figure 40</a>.
+We have in addition used a <em>Slice</em> filter, as in the previous tutorial.
+This allows us to see that the yielded region is rather thick.</p>
+</div>
+<div id="radius_yielded_2" class="imageblock">
+<div class="content">
+<img src="images/radius_yielded_2.png" alt="radius yielded 2">
+</div>
+<div class="title">Figure 40. A slice through the radius. Yielded elements are shown in red for elements yielded in tension, and in blue for elements yielded in compression.</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_numerical_results_2">7.4.4. Numerical results</h4>
+<div class="paragraph">
+<p>In comparison with the linear case, the <em>y</em> component of the torque has
+dropped about 1.5%, from 1.997 N&#183;m to 1.968 N&#183;m; hence
+a decrease in stiffness of 1.5%. In conclusion,
+this amount of plasticity has not significantly affected the results.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>============================================================================
 Table 12: Nodal Torques
 ----------------------------------------------------------------------------
 Torque measured relative to:                            60.546 94.150 48.216
@@ -10244,48 +7704,47 @@ <h4 id="_numerical_results_2">7.4.4. Numerical results</h4>
 maximum     2.158E+01  4.561E+01  1.482E+01
 median     -1.126E-01 -1.084E+00  1.470E-02
 ============================================================================</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_a_more_careful_calculation_incrementally_applying_the_load">7.4.5. A more careful calculation:
-              incrementally applying the load</h4>
-            <div class="paragraph">
-              <p>There are always more subtle considerations for nonlinear calculations
-                than for linear calculations. One aspect of elasto-plastic calculations
-                is that they exhibit hysteresis, or irreversible changes to strain.
-                In this way, the solutions depend in fact, not only on the current
-                applied state, but in principle on the whole time-dependent history.</p>
-            </div>
-            <div class="paragraph">
-              <p>Whether this is significant or not in practice is something that can
-                be investigated experimentally - or rather computationally in our case.
-                In the present case, we already know that there is only a 1.5% difference
-                in numerical results
-                between the linear model and the elastoplastic model. So this
-                more careful method of applying the load in the nonlinear case is
-                very unlikely to result in significant differences in the result.
-                This tutorial is therefore more of a demonstration of principle,
-                and an introduction to the possibility of modifying already-solved <code>n88model</code> files.</p>
-            </div>
-            <div class="paragraph">
-              <p>To apply the bending in increments, we will take advantage of the fact
-                that <a href="#n88modelgenerator">n88modelgenerator</a>
-                can accept an existing <code>n88model</code> file as input. In this case, it
-                will preserve the grid, <em>i.e.</em> the points and elements of the model,
-                but generate new boundary conditions and/or material definitions.
-                Crucially, it also preserves an existing solution, which is then
-                automatically used as the starting value when the solver is
-                subsequently called.</p>
-            </div>
-            <div class="paragraph">
-              <p>We are first going to make a configuration file containing all the
-                parameters of <a href="#n88modelgenerator">n88modegenerator</a> that
-                are the same for each increment of bending.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># File: common.conf
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_a_more_careful_calculation_incrementally_applying_the_load">7.4.5. A more careful calculation: incrementally applying the load</h4>
+<div class="paragraph">
+<p>There are always more subtle considerations for nonlinear calculations
+than for linear calculations. One aspect of elasto-plastic calculations
+is that they exhibit hysteresis, or irreversible changes to strain.
+In this way, the solutions depend in fact, not only on the current
+applied state, but in principle on the whole time-dependent history.</p>
+</div>
+<div class="paragraph">
+<p>Whether this is significant or not in practice is something that can
+be investigated experimentally - or rather computationally in our case.
+In the present case, we already know that there is only a 1.5% difference
+in numerical results
+between the linear model and the elastoplastic model. So this
+more careful method of applying the load in the nonlinear case is
+very unlikely to result in significant differences in the result.
+This tutorial is therefore more of a demonstration of principle,
+and an introduction to the possibility of modifying already-solved <code>n88model</code> files.</p>
+</div>
+<div class="paragraph">
+<p>To apply the bending in increments, we will take advantage of the fact
+that <a href="#n88modelgenerator">n88modelgenerator</a>
+can accept an existing <code>n88model</code> file as input. In this case, it
+will preserve the grid, <em>i.e.</em> the points and elements of the model,
+but generate new boundary conditions and/or material definitions.
+Crucially, it also preserves an existing solution, which is then
+automatically used as the starting value when the solver is
+subsequently called.</p>
+</div>
+<div class="paragraph">
+<p>We are first going to make a configuration file containing all the
+parameters of <a href="#n88modelgenerator">n88modegenerator</a> that
+are the same for each increment of bending.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># File: common.conf
 #
 # A configuration file for the tutorial: radius bending with
 # elast-plastic material properties.
@@ -10297,23 +7756,23 @@ <h4 id="_a_more_careful_calculation_incrementally_applying_the_load">7.4.5. A mo
 bottom_surface = visible
 bottom_surface_maximum_depth = 15
 plasticity = vonmises,10</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Now we are going to call <a href="#n88modelgenerator">n88modegenerator</a>
-                and <a href="#faim">faim</a> multiple times, in steps of 0.1&#186;, from bending
-                angle 0.6&#186; up to bending angle 1.0&#186;. 0.6&#186; is chosen as a the starting
-                angle because it happens to be just after the onset of nonlinear behaviour.
-                In general, it takes a bit of experimentation to find the minimum
-                applied test condition for which some elements start to exceed the linear
-                region.</p>
-            </div>
-            <div class="paragraph">
-              <p>Here are the commands. You may want to put these into a script file.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88modelgenerator --conf=common.conf --bending_angle=0.6 radius164.aim incremental_bending_0.6.n88model
+</div>
+</div>
+<div class="paragraph">
+<p>Now we are going to call <a href="#n88modelgenerator">n88modegenerator</a>
+and <a href="#faim">faim</a> multiple times, in steps of 0.1&#186;, from bending
+angle 0.6&#186; up to bending angle 1.0&#186;. 0.6&#186; is chosen as a the starting
+angle because it happens to be just after the onset of nonlinear behaviour.
+In general, it takes a bit of experimentation to find the minimum
+applied test condition for which some elements start to exceed the linear
+region.</p>
+</div>
+<div class="paragraph">
+<p>Here are the commands. You may want to put these into a script file.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelgenerator --conf=common.conf --bending_angle=0.6 radius164.aim incremental_bending_0.6.n88model
 n88solver_spt incremental_bending_0.6.n88model
 n88modelgenerator --conf=common.conf --bending_angle=0.7 incremental_bending_0.6.n88model incremental_bending_0.7.n88model
 n88solver_spt incremental_bending_0.7.n88model
@@ -10323,24 +7782,24 @@ <h4 id="_a_more_careful_calculation_incrementally_applying_the_load">7.4.5. A mo
 n88solver_spt incremental_bending_0.9.n88model
 n88modelgenerator --conf=common.conf --bending_angle=1.0 incremental_bending_0.9.n88model incremental_bending_1.0.n88model
 n88solver_spt incremental_bending_1.0.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Once we have run all of these commands, we can verify that the final
-                data file, <code>incremental_bending_1.0.n88model</code>, does indeed show the
-                history of being processed multiple times:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88modelinfo --history incremental_bending_1.0.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>This gives an output of:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>History:
+</div>
+</div>
+<div class="paragraph">
+<p>Once we have run all of these commands, we can verify that the final
+data file, <code>incremental_bending_1.0.n88model</code>, does indeed show the
+history of being processed multiple times:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelinfo --history incremental_bending_1.0.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>This gives an output of:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>History:
 ----------------------------------------------------------------------
 2016-Sep-27 12:53:47 Model created by n88modelgenerator version 8.0
 2016-Sep-27 13:09:03 Solved by n88solver_spt 8.0
@@ -10353,32 +7812,31 @@ <h4 id="_a_more_careful_calculation_incrementally_applying_the_load">7.4.5. A mo
 2016-Sep-27 13:46:31 Model modified by n88modelgenerator version 8.0
 2016-Sep-27 14:03:09 Solved by n88solver_spt 8.0
 ----------------------------------------------------------------------</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>As usual, the details can be recovered with the <code>--log</code> options of
-                <a href="#n88modelinfo">n88modelinfo</a>, but the output is lengthy,
-                so we will not show it here.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>To perform the post-processing on the final result, we call,</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88derivedfields incremental_bending_1.0.n88model
+</div>
+</div>
+<div class="paragraph">
+<p>As usual, the details can be recovered with the <code>--log</code> options of
+<a href="#n88modelinfo">n88modelinfo</a>, but the output is lengthy,
+so we will not show it here.</p>
+</div>
+<div class="paragraph">
+<p>To perform the post-processing on the final result, we call,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88derivedfields incremental_bending_1.0.n88model
 n88postfaim incremental_bending_1.0.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Numerically, the results have changed little in this case, as
-                expected. We now have a <em>y</em>-component of torque of 1.972 N&#183;m,
-                which compares with 1.997 N&#183;m in the linear case, and
-                1.968 N&#183;m for the &#8220;all at once&#8221; elastoplastic case.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>============================================================================
+</div>
+</div>
+<div class="paragraph">
+<p>Numerically, the results have changed little in this case, as
+expected. We now have a <em>y</em>-component of torque of 1.972 N&#183;m,
+which compares with 1.997 N&#183;m in the linear case, and
+1.968 N&#183;m for the &#8220;all at once&#8221; elastoplastic case.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>============================================================================
 Table 12: Nodal Torques
 ----------------------------------------------------------------------------
 Torque measured relative to:                            60.546 94.150 48.216
@@ -10405,213 +7863,202 @@ <h4 id="_a_more_careful_calculation_incrementally_applying_the_load">7.4.5. A mo
 maximum     2.276E+01  4.839E+01  1.579E+01
 median     -1.405E-01 -1.222E+00  2.123E-02
 ============================================================================</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>This tutorial is the final tutorial in the series presenting the Faim standard workflow,
-                with models generated by <a href="#n88modelgenerator">n88modelgenerator</a>. Those
-                interested in generating custom models will want to continue on to the
-                tutorials presenting <code>vtkbone</code>. If you intend for the moment to use only
-                <a href="#n88modelgenerator">n88modelgenerator</a> for generating your models, then
-                you can stop here.
-              </p>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="cube_with_vtkbone_tutorial">7.5. Tutorial: Compressing a cube revisited using vtkbone</h3>
-          <div class="paragraph">
-            <p>In the preceding tutorials, we used <a href="#n88modelgenerator">n88modelgenerator</a>
-              to quickly generate finite element models from segmented 3D images.
-              <a href="#n88modelgenerator">n88modelgenerator</a> has many parameters that can
-              be used to tune the models in produces, but inevitably, the variety of
-              models that can be produced using the parameter-setting approach is limited.
-              A far more flexible approach is scripting. Numerics88 contains a collection
-              of objects suitable for constructing
-              and manipulating finite element objects. These can be scripted with Python.
-              Python is one of the easiest languages
-              to learn, and yet retains a great deal of expressive power. This
-              collection of objects is built on top of <a href="http://vtk.org">VTK</a> and is referred
-              to as <code>vtkbone</code>. It is documented in <a href="#vtkbone">Preparing Finite Element Models with
-                vtkbone</a>.
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>In this tutorial, we are going to revisit the first tutorial,
-              <a href="#cube_tutorial">Introductory tutorial: Compressing a solid cube</a>.
-              In fact we&#8217;re going to do it all over again, only this time, we will
-              generate the model by writing a little script with <code>vtkbone</code>, instead
-              of using <a href="#n88modelgenerator">n88modelgenerator</a>. It will be
-              more work, but we will have a working model-generation script that could
-              be further tweaked to do things that would not be possible with
-              <a href="#n88modelgenerator">n88modelgenerator</a>.
-            </p>
-          </div>
-          <div class="sect3">
-            <h4 id="_getting_familiar_with_python_vtk_and_numpy">7.5.1. Getting familiar with Python, VTK and Numpy</h4>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="paragraph">
-              <p>It is not necessary to know Python in order to write and
-                modify scripts using <code>vtkbone</code>, as very often you can make obvious
-                modifications to existing scripts. However, having a basic familiarity
-                can make you more comfortable with the following scripting. As
-                Python is very widely used, there are any number of excellent
-                introductory books. A suggested place to start is the on-line
-                tutorial at <a href="http://docs.python.org/tutorial/" class="bare">http://docs.python.org/tutorial/</a>
-                .</p>
-            </div>
-            <div class="paragraph">
-              <p>One feature of Python which we will use that is not a part of the
-                standard Python distribution (but is distributed with Numerics88
-                software) is Numpy, which efficiently handles numerical arrays
-                in Python. Again, prior knowledge of Numpy is not required, but will
-                help. Documentation for Numpy can be found at <a href="http://docs.scipy.org/doc/"
-                  class="bare">http://docs.scipy.org/doc/</a> .
-                We
-                recommend <a href="https://docs.scipy.org/doc/numpy-dev/user/quickstart.html"
-                  class="bare">https://docs.scipy.org/doc/numpy-dev/user/quickstart.html</a> as
-                an introduction.</p>
-            </div>
-            <div class="paragraph">
-              <p>Finally, there is <a href="http://vtk.org">VTK</a> . VTK is quite complex and rather
-                more difficult to learn than either Python or Numpy, but fortunately it
-                is not necessary to know very much VTK. We will be using
-                a mixture of custom <code>vtkbone</code> objects and standard VTK objects. When one
-                of these comes up in the following tutorials, you may want to
-                have a glance at the corresponding API documentation for that object.
-                This is explained in <a href="#api_documentation">vtkbone API documentation</a>.</p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_preliminaries_first_lines_of_python">7.5.2. Preliminaries: first lines of Python</h4>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="paragraph">
-              <p>First create a working directory. Using your favourite text editor, create a
-                file <code>apply_compression.py</code>.</p>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    You can also use an editor or an integrated
-                    development environment specifically
-                    intended for python, such as IDLE, but this is not necessary. A plain
-                    old text editor will work fine. On Windows, Notepad
-                    can be used. On OS X, you can use TextEdit, which you will
-                    find in the Utilities folder within Applications. If using TextEdit, be sure
-                    to select <span class="menuseq"><b class="menu">Format</b>&#160;<b class="caret">&#8250;</b> <b
-                        class="menuitem">Make Plain Text</b></span>. Atom is an open-source text editor with a variety
-                    of tools for scripting in Python.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="admonitionblock note">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/note.png" alt="Note">
-                  </td>
-                  <td class="content">
-                    If you want to cheat and not actually type this tutorial script
-                    line-by-line as we go, you can find the finished version in the
-                    directory <code>tutorials/cube_with_vtk</code>, once you unpack the archive
-                    of tutorial data that can be downloaded from <a href="http://numerics88.com/n88/downloads"
-                      class="bare">http://numerics88.com/n88/downloads</a> .
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Start by adding these
-                lines, which import all the Python modules that we will be using:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>from __future__ import division
+</div>
+</div>
+<div class="paragraph">
+<p>This tutorial is the final tutorial in the series presenting the Faim standard workflow,
+with models generated by <a href="#n88modelgenerator">n88modelgenerator</a>. Those
+interested in generating custom models will want to continue on to the
+tutorials presenting <code>vtkbone</code>. If you intend for the moment to use only
+<a href="#n88modelgenerator">n88modelgenerator</a> for generating your models, then
+you can stop here.</p>
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="cube_with_vtkbone_tutorial">7.5. Tutorial: Compressing a cube revisited using vtkbone</h3>
+<div class="paragraph">
+<p>In the preceding tutorials, we used <a href="#n88modelgenerator">n88modelgenerator</a>
+to quickly generate finite element models from segmented 3D images.
+<a href="#n88modelgenerator">n88modelgenerator</a> has many parameters that can
+be used to tune the models in produces, but inevitably, the variety of
+models that can be produced using the parameter-setting approach is limited.
+A far more flexible approach is scripting. Numerics88 contains a collection
+of objects suitable for constructing
+and manipulating finite element objects. These can be scripted with Python.
+Python is one of the easiest languages
+to learn, and yet retains a great deal of expressive power. This
+collection of objects is built on top of <a href="http://vtk.org">VTK</a> and is referred
+to as <code>vtkbone</code>. It is documented in <a href="#vtkbone">Preparing Finite Element Models with vtkbone</a>.</p>
+</div>
+<div class="paragraph">
+<p>In this tutorial, we are going to revisit the first tutorial,
+<a href="#cube_tutorial">Introductory tutorial: Compressing a solid cube</a>.
+In fact we&#8217;re going to do it all over again, only this time, we will
+generate the model by writing a little script with <code>vtkbone</code>, instead
+of using <a href="#n88modelgenerator">n88modelgenerator</a>. It will be
+more work, but we will have a working model-generation script that could
+be further tweaked to do things that would not be possible with
+<a href="#n88modelgenerator">n88modelgenerator</a>.</p>
+</div>
+<div class="sect3">
+<h4 id="_getting_familiar_with_python_vtk_and_numpy">7.5.1. Getting familiar with Python, VTK and Numpy</h4>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>It is not necessary to know Python in order to write and
+modify scripts using <code>vtkbone</code>, as very often you can make obvious
+modifications to existing scripts. However, having a basic familiarity
+can make you more comfortable with the following scripting. As
+Python is very widely used, there are any number of excellent
+introductory books. A suggested place to start is the on-line
+tutorial at <a href="http://docs.python.org/tutorial/" class="bare">http://docs.python.org/tutorial/</a> .</p>
+</div>
+<div class="paragraph">
+<p>One feature of Python which we will use that is not a part of the
+standard Python distribution (but is distributed with Numerics88
+software) is Numpy, which efficiently handles numerical arrays
+in Python. Again, prior knowledge of Numpy is not required, but will
+help. Documentation for Numpy can be found at <a href="http://docs.scipy.org/doc/" class="bare">http://docs.scipy.org/doc/</a> .
+We
+recommend <a href="https://docs.scipy.org/doc/numpy-dev/user/quickstart.html" class="bare">https://docs.scipy.org/doc/numpy-dev/user/quickstart.html</a> as
+an introduction.</p>
+</div>
+<div class="paragraph">
+<p>Finally, there is <a href="http://vtk.org">VTK</a> . VTK is quite complex and rather
+more difficult to learn than either Python or Numpy, but fortunately it
+is not necessary to know very much VTK. We will be using
+a mixture of custom <code>vtkbone</code> objects and standard VTK objects. When one
+of these comes up in the following tutorials, you may want to
+have a glance at the corresponding API documentation for that object.
+This is explained in <a href="#api_documentation">vtkbone API documentation</a>.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_preliminaries_first_lines_of_python">7.5.2. Preliminaries: first lines of Python</h4>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>First create a working directory. Using your favourite text editor, create a
+file <code>apply_compression.py</code>.</p>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+You can also use an editor or an integrated
+development environment specifically
+intended for python, such as IDLE, but this is not necessary. A plain
+old text editor will work fine. On Windows, Notepad
+can be used. On OS X, you can use TextEdit, which you will
+find in the Utilities folder within Applications. If using TextEdit, be sure
+to select <span class="menuseq"><b class="menu">Format</b>&#160;<b class="caret">&#8250;</b> <b class="menuitem">Make Plain Text</b></span>. Atom is an open-source text editor with a variety of tools for scripting in Python.
+</td>
+</tr>
+</table>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+If you want to cheat and not actually type this tutorial script
+line-by-line as we go, you can find the finished version in the
+directory <code>tutorials/cube_with_vtk</code>, once you unpack the archive
+of tutorial data that can be downloaded from <a href="http://numerics88.com/n88/downloads" class="bare">http://numerics88.com/n88/downloads</a> .
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Start by adding these
+lines, which import all the Python modules that we will be using:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>from __future__ import division
 import argparse
 import os
 import sys
 import vtk
 import vtkbone</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Once you save this, you already have a script that you can run! In fact, you should run it,
-                with just these lines
-                in it - even though it does nothing yet, because it will verify that Python can
-                successfully locate VTK and <code>vtkbone</code>. The script can be run like this
-                (make sure you&#8217;ve saved <code>apply_compression.py</code>),</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ python apply_compression.py</pre>
-              </div>
-            </div>
-            <div class="admonitionblock note">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/note.png" alt="Note">
-                  </td>
-                  <td class="content">
-                    The dollar sign (<code>$</code>) at the beginning of the line is the prompt:
-                    don&#8217;t type that. On Windows the prompt will be something like <code>C:\&gt;</code> .
-                    On all systems the prompt might contain additional information, such
-                    as the current directory.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>You should get as output . . . nothing whatsoever. If you get an error like
-                &#8220;ImportError: No module named vtk&#8221;, then it
-                is likely that the n88tools is not installed, or that the anaconda python
-                environment is not activated. Refer to <a href="#install_n88tools">Install n88tools and vtkbone</a>.</p>
-            </div>
-            <div class="paragraph">
-              <p>We recommend also having a version number in your script. Increment it
-                whenever you change the script (not every time you
-                add a line, but if you modify the finished script later so that the
-                resulting model is somewhat different, then increment the version number.)
-                We&#8217;ll see soon how we can
-                ensure that the script version number gets written into the log
-                of the <code>n88model</code> file. Although we&#8217;re not accountants, we highly
-                recommend having an audit trail that will allow you to know exactly how
-                a given model was generated. (Obviously, you should archive copies of every
-                version of your script, not just the most recent one. You should also
-                floss daily, which we&#8217;re sure that you do.) For now, just add a version
-                number to the script with this line. We are on version 3, since
-                this tutorial has been in the manual for quite some time, and it has been
-                tweaked a couple of times.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>script_version = 4</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Now, we&#8217;re going to want to specify the input image file on the
-                command line, because this will allow us to use the script on
-                any input file, not just one hard-coded by name into the script.
-                We&#8217;re also going to want to inform the user that an input
-                file name is required if they don&#8217;t supply one. (&#8220;The user&#8221; is most likely
-                you yourself, but don&#8217;t assume that next week you&#8217;ll remember how you
-                intended to use the script you write this week.) The python module
-                <code>argparse</code> is really handy for this. The following lines will do
-                the desired thing:
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>parser = argparse.ArgumentParser (
+</div>
+</div>
+<div class="paragraph">
+<p>Once you save this, you already have a script that you can run!  In fact, you should run it,
+with just these lines
+in it - even though it does nothing yet, because it will verify that Python can
+successfully locate VTK and <code>vtkbone</code>. The script can be run like this
+(make sure you&#8217;ve saved <code>apply_compression.py</code>),</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ python apply_compression.py</pre>
+</div>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+The dollar sign (<code>$</code>) at the beginning of the line is the prompt:
+don&#8217;t type that. On Windows the prompt will be something like <code>C:\&gt;</code> .
+On all systems the prompt might contain additional information, such
+as the current directory.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>You should get as output . . . nothing whatsoever. If you get an error like
+&#8220;ImportError: No module named vtk&#8221;, then it
+is likely that the n88tools is not installed, or that the anaconda python
+environment is not activated. Refer to <a href="#install_n88tools">Install n88tools and vtkbone</a>.</p>
+</div>
+<div class="paragraph">
+<p>We recommend also having a version number in your script. Increment it
+whenever you change the script (not every time you
+add a line, but if you modify the finished script later so that the
+resulting model is somewhat different, then increment the version number.)
+ We&#8217;ll see soon how we can
+ensure that the script version number gets written into the log
+of the <code>n88model</code> file. Although we&#8217;re not accountants, we highly
+recommend having an audit trail that will allow you to know exactly how
+a given model was generated. (Obviously, you should archive copies of every
+version of your script, not just the most recent one. You should also
+floss daily, which we&#8217;re sure that you do.) For now, just add a version
+number to the script with this line. We are on version 3, since
+this tutorial has been in the manual for quite some time, and it has been
+tweaked a couple of times.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>script_version = 4</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>Now, we&#8217;re going to want to specify the input image file on the
+command line, because this will allow us to use the script on
+any input file, not just one hard-coded by name into the script.
+We&#8217;re also going to want to inform the user that an input
+file name is required if they don&#8217;t supply one. (&#8220;The user&#8221; is most likely
+you yourself, but don&#8217;t assume that next week you&#8217;ll remember how you
+intended to use the script you write this week.)  The python module
+<code>argparse</code> is really handy for this. The following lines will do
+the desired thing:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>parser = argparse.ArgumentParser (
     description="""Apply a compression test.
 This script does essentially the same as the command
 "n88modelgenerator --test=uniaxial"
@@ -10622,31 +8069,29 @@ <h4 id="_preliminaries_first_lines_of_python">7.5.2. Preliminaries: first lines
    help="An input image file of the segmented data; must be in VTK XML format (.vti).")
 
 args = parser.parse_args()</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>So now when we run it as before, this time we do get some output:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ python apply_compression.py
+</div>
+</div>
+<div class="paragraph">
+<p>So now when we run it as before, this time we do get some output:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ python apply_compression.py
 usage: apply_compression.py [-h] input_file
 apply_compression.py: error: too few arguments</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Progress!</p>
-            </div>
-            <div class="paragraph">
-              <p>Let&#8217;s see what happens if we run it with the <code>-h</code> flag. Note that
-                <code>argparse</code> has
-                automatically added a <code>-h</code> flag, the purpose of which is to get help about the
-                command.
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ python apply_compression.py -h
+</div>
+</div>
+<div class="paragraph">
+<p>Progress!</p>
+</div>
+<div class="paragraph">
+<p>Let&#8217;s see what happens if we run it with the <code>-h</code> flag. Note that <code>argparse</code> has
+automatically added a <code>-h</code> flag, the purpose of which is to get help about the
+command.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ python apply_compression.py -h
 usage: apply_compression.py [-h] input_file
 
 Apply a compression test. This script does essentially the same as the command
@@ -10658,185 +8103,170 @@ <h4 id="_preliminaries_first_lines_of_python">7.5.2. Preliminaries: first lines
 
 optional arguments:
   -h, --help  show this help message and exit</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_reading_the_input_file">7.5.3. Reading the input file</h4>
-            <div class="paragraph">
-              <p>The input file is <code>cube6x6x6.vti</code> and as usual you can find it in the
-                <code>data</code> folder of your distribution. We&#8217;ve seen it before in the
-                <a href="#cube_tutorial">first tutorial</a>. Copy it to your working directory.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>As the data is in VTK&#8217;s <code>.vti</code> format (properly referred to as
-                &#8220;VTK XML Image Data file format&#8221;), we&#8217;ll need a <a
-                  href="http://www.vtk.org/doc/release/6.3/html/classvtkXMLImageDataReader.html">vtkXMLImageDataReader</a>
-                object to read it. That will look like this:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>print(f"Reading, {args.input_file}")
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_reading_the_input_file">7.5.3. Reading the input file</h4>
+<div class="paragraph">
+<p>The input file is <code>cube6x6x6.vti</code> and as usual you can find it in the
+<code>data</code> folder of your distribution. We&#8217;ve seen it before in the
+<a href="#cube_tutorial">first tutorial</a>. Copy it to your working directory.</p>
+</div>
+<div class="paragraph">
+<p>As the data is in VTK&#8217;s <code>.vti</code> format (properly referred to as
+&#8220;VTK XML Image Data file format&#8221;), we&#8217;ll need a <a href="http://www.vtk.org/doc/release/6.3/html/classvtkXMLImageDataReader.html">vtkXMLImageDataReader</a>
+object to read it. That will look like this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>print(f"Reading, {args.input_file}")
 reader = vtk.vtkXMLImageDataReader()
 reader.SetFileName(args.input_file)
 reader.Update()
 image = reader.GetOutput()</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p><a
-                  href="http://www.vtk.org/doc/release/6.3/html/classvtkXMLImageDataReader.html">vtkXMLImageDataReader</a>
-                is a type of VTK &#8220;filter&#8221;
-                (specifically a &#8220;source&#8221;). What we&#8217;ve done is very typical for
-                VTK filters and we&#8217;ll see this sequence of steps for employing a VTK filter
-                over and over again. It is,</p>
-            </div>
-            <div class="olist arabic">
-              <ol class="arabic">
-                <li>
-                  <p>Create the filter object.</p>
-                </li>
-                <li>
-                  <p>Set any inputs. (Here there are none, because a source doesn&#8217;t have any.)</p>
-                </li>
-                <li>
-                  <p>Set any parameter values. In this case we set the parameter value <code>FileName()</code>.</p>
-                </li>
-                <li>
-                  <p>Call <code>Update()</code>. (Otherwise nothing happens and we wonder why.)</p>
-                </li>
-                <li>
-                  <p>Get any output.</p>
-                </li>
-              </ol>
-            </div>
-            <div class="paragraph">
-              <p>In fact, this isn&#8217;t the only way to use VTK filter objects, but it is the
-                simplest and it is the procedure we will nearly always employ in our scripts.</p>
-            </div>
-            <div class="paragraph">
-              <p>Let&#8217;s provide some feedback at this point so we have some indication
-                that the data was correctly read. While we&#8217;re at it, let&#8217;s do some error
-                checking to stop things right here if that data wasn&#8217;t able to be read,</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>if not image:
+</div>
+</div>
+<div class="paragraph">
+<p><a href="http://www.vtk.org/doc/release/6.3/html/classvtkXMLImageDataReader.html">vtkXMLImageDataReader</a> is a type of VTK &#8220;filter&#8221;
+(specifically a &#8220;source&#8221;). What we&#8217;ve done is very typical for
+VTK filters and we&#8217;ll see this sequence of steps for employing a VTK filter
+over and over again. It is,</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>Create the filter object.</p>
+</li>
+<li>
+<p>Set any inputs. (Here there are none, because a source doesn&#8217;t have any.)</p>
+</li>
+<li>
+<p>Set any parameter values. In this case we set the parameter value <code>FileName()</code>.</p>
+</li>
+<li>
+<p>Call <code>Update()</code>. (Otherwise nothing happens and we wonder why.)</p>
+</li>
+<li>
+<p>Get any output.</p>
+</li>
+</ol>
+</div>
+<div class="paragraph">
+<p>In fact, this isn&#8217;t the only way to use VTK filter objects, but it is the
+simplest and it is the procedure we will nearly always employ in our scripts.</p>
+</div>
+<div class="paragraph">
+<p>Let&#8217;s provide some feedback at this point so we have some indication
+that the data was correctly read. While we&#8217;re at it, let&#8217;s do some error
+checking to stop things right here if that data wasn&#8217;t able to be read,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>if not image:
     print("No image data read.")
     sys.exit(1)
 
 print(f"Read image with point dimensions: {image.GetDimensions()}")</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Now running it should result in,</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ python apply_compression.py cube6x6x6.vti
+</div>
+</div>
+<div class="paragraph">
+<p>Now running it should result in,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ python apply_compression.py cube6x6x6.vti
 Reading cube6x6x6.vti
 Read image with point dimensions (7, 7, 7) <img src="./images/icons/callouts/1.png" alt="1"></pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>Wait a minute! Why are the reported dimensions (7, 7, 7) when they are
-                    really 6&#215;6&#215;6? It is because these are the reported
-                    Point (or Node) dimensions, rather than the Cell (or Element) dimensions.
-                    If you&#8217;re confused, review the discussion on this point in
-                    <a href="#cube_tutorial">Introductory tutorial: Compressing a solid cube</a>.
-                  </td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_ensuring_connectivity">7.5.4. Ensuring connectivity</h4>
-            <div class="paragraph">
-              <p>We could assume that the input image is properly segmented and just
-                proceed with generating a mesh.
-                Since this is an introductory tutorial perhaps we should. However, it
-                happens not infrequently for whatever reason that a finite element model is
-                attempted on
-                an image which does not consist of a single connected object. This can cause
-                all sorts of trouble.
-                Consider this: if there are disconnected floating bits
-                in the model, where is the proper place for the solver to put them in the
-                solution? Sometimes the solution of such models will be very slow,
-                other times the model will solve OK, but some of the
-                post-processing numbers may appear strange if you don&#8217;t realize that
-                they are calculated over the entire model, including bits which are subject
-                to no constraints.</p>
-            </div>
-            <div class="paragraph">
-              <p>So to avoid potential grief, this is a good place to drop in a
-                <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneImageConnectivityFilter.html">vtkboneImageConnectivityFilter</a>
-                . It will strip away
-                (actually zero-out) any parts of the input image that aren&#8217;t in some
-                way connected to the largest object in the image. It is a safe and prudent step
-                in the generation of a well-defined finite element model.
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>print("Applying connectivity filter.")
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>Wait a minute!  Why are the reported dimensions (7, 7, 7) when they are
+really 6&#215;6&#215;6?  It is because these are the reported
+Point (or Node) dimensions, rather than the Cell (or Element) dimensions.
+If you&#8217;re confused, review the discussion on this point in
+<a href="#cube_tutorial">Introductory tutorial: Compressing a solid cube</a>.</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_ensuring_connectivity">7.5.4. Ensuring connectivity</h4>
+<div class="paragraph">
+<p>We could assume that the input image is properly segmented and just
+proceed with generating a mesh.
+Since this is an introductory tutorial perhaps we should. However, it
+happens not infrequently for whatever reason that a finite element model is
+attempted on
+an image which does not consist of a single connected object. This can cause
+all sorts of trouble.
+Consider this: if there are disconnected floating bits
+in the model, where is the proper place for the solver to put them in the
+solution?  Sometimes the solution of such models will be very slow,
+other times the model will solve OK, but some of the
+post-processing numbers may appear strange if you don&#8217;t realize that
+they are calculated over the entire model, including bits which are subject
+to no constraints.</p>
+</div>
+<div class="paragraph">
+<p>So to avoid potential grief, this is a good place to drop in a
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneImageConnectivityFilter.html">vtkboneImageConnectivityFilter</a> . It will strip away
+(actually zero-out) any parts of the input image that aren&#8217;t in some
+way connected to the largest object in the image. It is a safe and prudent step
+in the generation of a well-defined finite element model.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>print("Applying connectivity filter.")
 connectivity_filter = vtkbone.vtkboneImageConnectivityFilter()
 connectivity_filter.SetExtractionModeToLargestRegion()
 connectivity_filter.SetInputData(image)
 connectivity_filter.Update();
 image = connectivity_filter.GetOutput()</pre>
-              </div>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    <div class="paragraph">
-                      <p>Is it legitimate to assign the output to the variable
-                        <em>image</em> when that was also the name of the input? The answer is
-                        yes. It&#8217;s quite kosher in Python to clobber a variable name by assigning
-                        it to something else. Python is more clever than you might think about
-                        this. It will in fact keep the data associated with the original
-                        input variable around as long required, even though we have no means
-                        to refer to it or access it now. (And
-                        technically speaking, here it will be required, at least as long as
-                        connectivity_filter exists, because connectivity_filter will still use the
-                        original
-                        input data. As long as connectivity_filter is around, we might decide to
-                        use it again without changing the input, so Python won&#8217;t get rid of it.)
-                      </p>
-                    </div>
-                  </td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_generating_a_mesh_2">7.5.5. Generating a mesh</h4>
-            <div class="paragraph">
-              <p>The filter object for generating an FE mesh from an input image is
-                <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneImageToMesh.html">vtkboneImageToMesh</a>
-                . The FE mesh represents the geometry of the model, and
-                consists of elements and nodes (concretely, it will be an object of type
-                <a href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a>
-                ). Note that in VTK terminology, elements will be
-                called Cells, and nodes will be called Points. Most of the time we don&#8217;t need
-                to set any parameters to <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneImageToMesh.html">vtkboneImageToMesh</a>
-                except the input.
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># Generate a finite element mesh from the input image
+</div>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>Is it legitimate to assign the output to the variable
+<em>image</em> when that was also the name of the input?  The answer is
+yes. It&#8217;s quite kosher in Python to clobber a variable name by assigning
+it to something else. Python is more clever than you might think about
+this. It will in fact keep the data associated with the original
+input variable around as long required, even though we have no means
+to refer to it or access it now. (And
+technically speaking, here it will be required, at least as long as
+connectivity_filter exists, because connectivity_filter will still use the
+original
+input data. As long as connectivity_filter is around, we might decide to
+use it again without changing the input, so Python won&#8217;t get rid of it.)</p>
+</div>
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_generating_a_mesh_2">7.5.5. Generating a mesh</h4>
+<div class="paragraph">
+<p>The filter object for generating an FE mesh from an input image is
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneImageToMesh.html">vtkboneImageToMesh</a> . The FE mesh represents the geometry of the model, and
+consists of elements and nodes (concretely, it will be an object of type
+<a href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a> ). Note that in VTK terminology, elements will be
+called Cells, and nodes will be called Points. Most of the time we don&#8217;t need
+to set any parameters to <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneImageToMesh.html">vtkboneImageToMesh</a> except the input.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># Generate a finite element mesh from the input image
 
 geometry_generator = vtkbone.vtkboneImageToMesh()
 geometry_generator.SetInputData(image)
@@ -10844,148 +8274,134 @@ <h4 id="_generating_a_mesh_2">7.5.5. Generating a mesh</h4>
 geometry = geometry_generator.GetOutput()
 
 print(f"Generated {geometry.GetNumberOfCells()} elements and {geometry.GetNumberOfPoints()} nodes.")</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Now our output is beginning to get interesting,</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ python apply_compression.py cube6x6x6.vti
+</div>
+</div>
+<div class="paragraph">
+<p>Now our output is beginning to get interesting,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ python apply_compression.py cube6x6x6.vti
 Reading cube6x6x6.vti
 Read image with point dimensions (7, 7, 7)
 Applying connectivity filter.
 Generated 216 elements and 343 nodes.</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Quick check: 6<sup>3</sup> = 216 and 7<sup>3</sup> = 343, so we&#8217;re good.</p>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    <div class="paragraph">
-                      <p>It is possible to write out the geometry to a file in VTK&#8217;s XML
-                        Unstructured Grid format using <a
-                          href="http://www.vtk.org/doc/release/6.3/html/classvtkXMLUnstructuredGridWriter.html">vtkXMLUnstructuredGridWriter</a>
-                        .
-                        You will then be able to open it in ParaView. It should be very similar
-                        to <a href="#cube6_surface">Figure 16</a>. (In contrast though to rendering the input image, if
-                        there were any zero-valued voxels, there would
-                        be no need to threshold to remove the corresponding cells, as they are
-                        already absent from the meshed geometry.) The lines of code to
-                        save the geometry to a file are as follows:</p>
-                    </div>
-                    <div class="listingblock">
-                      <div class="content">
-                        <pre>writer = vtk.vtkXMLUnstructuredGridWriter()
+</div>
+</div>
+<div class="paragraph">
+<p>Quick check: 6<sup>3</sup> = 216 and 7<sup>3</sup> = 343, so we&#8217;re good.</p>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>It is possible to write out the geometry to a file in VTK&#8217;s XML
+Unstructured Grid format using <a href="http://www.vtk.org/doc/release/6.3/html/classvtkXMLUnstructuredGridWriter.html">vtkXMLUnstructuredGridWriter</a> .
+You will then be able to open it in ParaView. It should be very similar
+to <a href="#cube6_surface">Figure 16</a>. (In contrast though to rendering the input image, if
+there were any zero-valued voxels, there would
+be no need to threshold to remove the corresponding cells, as they are
+already absent from the meshed geometry.)  The lines of code to
+save the geometry to a file are as follows:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>writer = vtk.vtkXMLUnstructuredGridWriter()
 geometry_file = "geometry.vtu"
 print(f"Writing geometry to {geometry_file}")
 writer.SetFileName(geometry_file)
 writer.SetInputData(geometry)
 writer.Write()</pre>
-                      </div>
-                    </div>
-                  </td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_defining_materials_and_creating_a_material_table">7.5.6. Defining materials and creating a material
-              table</h4>
-            <div class="paragraph">
-              <p>Now we need to define some material properties. We can do this
-                by creating an instance of some specific derived class of
-                <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneMaterial.html">vtkboneMaterial</a>
-                . The one of these is
-                <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneLinearIsotropicMaterial.html">vtkboneLinearIsotropicMaterial</a>
-                . Let&#8217;s make one of them,
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>print("Creating a linear isotropic material.")
+</div>
+</div>
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_defining_materials_and_creating_a_material_table">7.5.6. Defining materials and creating a material table</h4>
+<div class="paragraph">
+<p>Now we need to define some material properties. We can do this
+by creating an instance of some specific derived class of
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneMaterial.html">vtkboneMaterial</a> . The one of these is
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneLinearIsotropicMaterial.html">vtkboneLinearIsotropicMaterial</a> . Let&#8217;s make one of them,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>print("Creating a linear isotropic material.")
 material = vtkbone.vtkboneLinearIsotropicMaterial()
 material.SetName("linear_iso_material") <img src="./images/icons/callouts/1.png" alt="1">
 material.SetYoungsModulus(6829) <img src="./images/icons/callouts/2.png" alt="2">
 material.SetPoissonsRatio(0.3) <img src="./images/icons/callouts/2.png" alt="2"></pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>We can give it any name we want. If we need to access it later,
-                    we can look it up by name.</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/2.png" alt="2"></td>
-                  <td>These are default values, so we actually didn&#8217;t really need these
-                    lines, but it doesn&#8217;t hurt be explicit, and now it is
-                    clear how to set different values should you want to do so.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>The other thing we must do is to make a material table, which associates
-                the values in the input image (segmentation IDs or material IDs)
-                with defined materials. Our image file <code>cube6x6x6.vti</code> has the uniform
-                value of 1 on every voxel, so we need to make a material table that
-                associates 1 with our material defined above. But perhaps we
-                might want to run this script someday on an input file that uses different
-                values (127 is very common for historical reasons). We could write
-                here some fancy scripting that would examine the input data and produce a
-                list of all the different values in the image, then map all those values
-                to our material (since we&#8217;re only using one material here). This
-                sounds a bit complicated, but fortunately, there is a <code>vtkbone</code> object,
-                <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneGenerateHomogeneousMaterialTable.html">vtkboneGenerateHomogeneousMaterialTable</a>
-                , that
-                does exactly this for us:
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>mt_generator = vtkbone.vtkboneGenerateHomogeneousMaterialTable()
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>We can give it any name we want. If we need to access it later,
+we can look it up by name.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/2.png" alt="2"></td>
+<td>These are default values, so we actually didn&#8217;t really need these
+lines, but it doesn&#8217;t hurt be explicit, and now it is
+clear how to set different values should you want to do so.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>The other thing we must do is to make a material table, which associates
+the values in the input image (segmentation IDs or material IDs)
+with defined materials. Our image file <code>cube6x6x6.vti</code> has the uniform
+value of 1 on every voxel, so we need to make a material table that
+associates 1 with our material defined above. But perhaps we
+might want to run this script someday on an input file that uses different
+values (127 is very common for historical reasons). We could write
+here some fancy scripting that would examine the input data and produce a
+list of all the different values in the image, then map all those values
+to our material (since we&#8217;re only using one material here). This
+sounds a bit complicated, but fortunately, there is a <code>vtkbone</code> object,
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneGenerateHomogeneousMaterialTable.html">vtkboneGenerateHomogeneousMaterialTable</a> , that
+does exactly this for us:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>mt_generator = vtkbone.vtkboneGenerateHomogeneousMaterialTable()
 mt_generator.SetMaterial(material)
 mt_generator.SetMaterialIdList(image.GetCellData().GetScalars()) <img src="./images/icons/callouts/1.png" alt="1">
 mt_generator.Update()
 material_table = mt_generator.GetOutput()
 print(f"Generated material table with {material_table.GetNumberOfMaterials()} entries.")</pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>Unfortunately, it is not as simple as just setting &#8220;image&#8221; as
-                    the argument to <code>SetMaterialIdList</code>. We have to be quite explicit about specifying the
-                    scalar data on the cells, in this manner.</td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_applying_a_compression_test">7.5.7. Applying a compression test</h4>
-            <div class="paragraph">
-              <p>To apply boundary conditions appropriate to a compression test, we can make
-                use of the object <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyCompressionTest.html">vtkboneApplyCompressionTest</a>
-                , which will do practically all
-                the work for us. <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyCompressionTest.html">vtkboneApplyCompressionTest</a>
-                requires as inputs both
-                the mesh and the material table that we defined above.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># Apply a compression test (uniaxial)
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>Unfortunately, it is not as simple as just setting &#8220;image&#8221; as
+the argument to <code>SetMaterialIdList</code>. We have to be quite explicit about specifying the
+scalar data on the cells, in this manner.</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_applying_a_compression_test">7.5.7. Applying a compression test</h4>
+<div class="paragraph">
+<p>To apply boundary conditions appropriate to a compression test, we can make
+use of the object <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyCompressionTest.html">vtkboneApplyCompressionTest</a> , which will do practically all
+the work for us. <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyCompressionTest.html">vtkboneApplyCompressionTest</a> requires as inputs both
+the mesh and the material table that we defined above.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># Apply a compression test (uniaxial)
 
 print("Applying a uniaxial compression test.")
 generator = vtkbone.vtkboneApplyCompressionTest()
@@ -10993,45 +8409,34 @@ <h4 id="_applying_a_compression_test">7.5.7. Applying a compression test</h4>
 generator.SetInputData(1, material_table) <img src="./images/icons/callouts/2.png" alt="2">
 generator.Update()
 model = generator.GetOutput()</pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>Input 0 to <a
-                      href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyCompressionTest.html">vtkboneApplyCompressionTest</a>
-                    must be the
-                    mesh geometry, as a <a
-                      href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a>
-                    object.</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/2.png" alt="2"></td>
-                  <td>Input 1 to <a
-                      href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyCompressionTest.html">vtkboneApplyCompressionTest</a>
-                    must be the
-                    material table, as a <a
-                      href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneMaterialTable.html">vtkboneMaterialTable</a>
-                    object.</td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_writing_an_n88model_file">7.5.8. Writing an n88model file</h4>
-            <div class="paragraph">
-              <p>The output of <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyCompressionTest.html">vtkboneApplyCompressionTest</a>
-                is a <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-                object, which is a complete representation of the problem we want to
-                solve with finite element analysis. It remains to write out this model
-                in <code>n88model</code> file format.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># Write an n88model file
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>Input 0 to <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyCompressionTest.html">vtkboneApplyCompressionTest</a> must be the
+mesh geometry, as a <a href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a> object.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/2.png" alt="2"></td>
+<td>Input 1 to <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyCompressionTest.html">vtkboneApplyCompressionTest</a> must be the
+material table, as a <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneMaterialTable.html">vtkboneMaterialTable</a> object.</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_writing_an_n88model_file">7.5.8. Writing an n88model file</h4>
+<div class="paragraph">
+<p>The output of <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyCompressionTest.html">vtkboneApplyCompressionTest</a> is a <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
+object, which is a complete representation of the problem we want to
+solve with finite element analysis. It remains to write out this model
+in <code>n88model</code> file format.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># Write an n88model file
 
 output_file = os.path.splitext(args.input_file)[0] + "_custom.n88model" <img src="./images/icons/callouts/1.png" alt="1">
 # Remove directory, so file ends up in current directory.
@@ -11042,24 +8447,24 @@ <h4 id="_writing_an_n88model_file">7.5.8. Writing an n88model file</h4>
 writer.SetInputData(model)
 writer.SetFileName(output_file)
 writer.Update()</pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>This is some fancy Python to derive the output file name from the
-                    input file name.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>That&#8217;s it. If everything works correctly, the output
-                should look like this:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ python apply_compression.py cube6x6x6.vti
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>This is some fancy Python to derive the output file name from the
+input file name.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>That&#8217;s it. If everything works correctly, the output
+should look like this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ python apply_compression.py cube6x6x6.vti
 Reading cube6x6x6.vti
 Read image with point dimensions (7, 7, 7)
 Applying connectivity filter.
@@ -11068,61 +8473,58 @@ <h4 id="_writing_an_n88model_file">7.5.8. Writing an n88model file</h4>
 Generated material table with 1 entries.
 Applying a uniaxial compression test.
 Writing n88model file: cube6x6x6_custom.n88model</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_modifying_the_file_history_and_log">7.5.9. Modifying the file history and log</h4>
-            <div class="paragraph">
-              <p>We promised at the beginning to record the script version number in the
-                file, and so far we haven&#8217;t done this. First we&#8217;ll have a look
-                at what is currently in the history field.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ n88modelinfo --history cube6x6x6_custom.n88model
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_modifying_the_file_history_and_log">7.5.9. Modifying the file history and log</h4>
+<div class="paragraph">
+<p>We promised at the beginning to record the script version number in the
+file, and so far we haven&#8217;t done this. First we&#8217;ll have a look
+at what is currently in the history field.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88modelinfo --history cube6x6x6_custom.n88model
 History:
 ----------------------------------------------------------------------
 2012-Sep-24 08:18:01 Model created by vtkboneApplyCompressionTest version 1.0 .
 ----------------------------------------------------------------------</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>This is useful information so instead of replacing it, we can just add to it.
-                To do this, add the following line to the script, just before writing
-                out the file:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>model.AppendHistory(f"Created by cube_compression.py version {script_version}.")</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Now run the script again, and this time when we run <a href="#n88modelinfo">n88modelinfo</a>, we get:
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ n88modelinfo --history cube6x6x6_custom.n88model
+</div>
+</div>
+<div class="paragraph">
+<p>This is useful information so instead of replacing it, we can just add to it.
+To do this, add the following line to the script, just before writing
+out the file:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>model.AppendHistory(f"Created by cube_compression.py version {script_version}.")</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>Now run the script again, and this time when we run <a href="#n88modelinfo">n88modelinfo</a>, we get:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88modelinfo --history cube6x6x6_custom.n88model
 History:
 ----------------------------------------------------------------------
 2012-Sep-24 08:22:14 Model created by vtkboneApplyCompressionTest version 6.0 .
 2012-Sep-24 08:22:14 Created by apply_compression.py version 2 .
 ----------------------------------------------------------------------</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Good, now we&#8217;ll always know that the <code>cube6x6x6_custom.n88model</code> file was
-                created with version 2 of the script (which called <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyCompressionTest.html">vtkboneApplyCompressionTest</a>
-                from <code>vtkbone</code> version 6.0).</p>
-            </div>
-            <div class="paragraph">
-              <p>We can also have a look at the log, which gives more detailed information:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ n88modelinfo --log cube6x6x6_custom.n88model
+</div>
+</div>
+<div class="paragraph">
+<p>Good, now we&#8217;ll always know that the <code>cube6x6x6_custom.n88model</code> file was
+created with version 2 of the script (which called <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyCompressionTest.html">vtkboneApplyCompressionTest</a> from <code>vtkbone</code> version 6.0).</p>
+</div>
+<div class="paragraph">
+<p>We can also have a look at the log, which gives more detailed information:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88modelinfo --log cube6x6x6_custom.n88model
 Log:
 ----------------------------------------------------------------------
 2012-Sep-24 08:22:14
@@ -11143,27 +8545,22 @@ <h4 id="_modifying_the_file_history_and_log">7.5.9. Modifying the file history a
 PinCellId: 0
 
 ----------------------------------------------------------------------</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>There is already quite a lot of information here, provided automatically
-                by <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyCompressionTest.html">vtkboneApplyCompressionTest</a>
-                . In particular we have all the
-                parameters of <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyCompressionTest.html">vtkboneApplyCompressionTest</a>
-                , which were all set to
-                default values because we didn&#8217;t change any of them.
-                We could, if we wanted, add even more information to the log, using the method
-                <code>model.AppendLog</code>, just as we used <code>model.AppendHistory</code>. In this case, there is
-                nothing lacking that we can&#8217;t query. For example, although no
-                material information appears in the log, we can determine it
-                with <a href="#n88modelinfo">n88modelinfo</a>,
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ n88modelinfo --materials cube6x6x6_custom.n88model
+</div>
+</div>
+<div class="paragraph">
+<p>There is already quite a lot of information here, provided automatically
+by <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyCompressionTest.html">vtkboneApplyCompressionTest</a> . In particular we have all the
+parameters of <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyCompressionTest.html">vtkboneApplyCompressionTest</a> , which were all set to
+default values because we didn&#8217;t change any of them.
+We could, if we wanted, add even more information to the log, using the method
+<code>model.AppendLog</code>, just as we used <code>model.AppendHistory</code>. In this case, there is
+nothing lacking that we can&#8217;t query. For example, although no
+material information appears in the log, we can determine it
+with <a href="#n88modelinfo">n88modelinfo</a>,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88modelinfo --materials cube6x6x6_custom.n88model
 Materials:
 ----------------------------------------------------------------------
 
@@ -11172,105 +8569,100 @@ <h4 id="_modifying_the_file_history_and_log">7.5.9. Modifying the file history a
   E : 6829.0
   nu : 0.3
 ----------------------------------------------------------------------</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>You can now proceed if you want to solve and analyze the model
-                exactly as in
-                <a href="#cube_tutorial">An introductory tutorial: compressing a solid cube</a>.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>This completes the tutorial on building the 6&#215;6&#215;6 cube
-                compression model using <code>vtkbone</code>. We&#8217;ve seen that it takes considerably
-                more work to write a script than to call <a href="#n88modelgenerator">n88modelgenerator</a>,
-                so whenever it suffices,
-                it is preferable to use <a href="#n88modelgenerator">n88modelgenerator</a>. However,
-                although in this case we&#8217;ve done nothing that <a href="#n88modelgenerator">n88modelgenerator</a>
-                couldn&#8217;t have done, we hope that you can imagine that now that we have
-                a script, that we could potentially modify it in any number of ways beyond
-                what would be possible with <a href="#n88modelgenerator">n88modelgenerator</a>.
-                In subsequent tutorials, we&#8217;ll explore these possibilities.</p>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="cantilever_tutorial">7.6. Tutorial: Deflection of a cantilevered beam; adding custom boundary
-            conditions and loads</h3>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <div class="paragraph">
-            <p>In this tutorial, we are going to use <code>vtkbone</code> to create a model that is
-              different than anything that could create with <a href="#n88modelgenerator">n88modelgenerator</a>.
-              The test will be the deflection
-              of a uniform beam fixed at one end, in other words a cantilever. We have chosen this model
-              because there is a simple analytic solution to which we can compare the result.</p>
-          </div>
-          <div class="paragraph">
-            <p>One aspect that will be new to this tutorial will be an applied force as part of the
-              problem definition. Generally though, it is preferable to define models with fixed position
-              boundary conditions and solve for the forces, rather than to specify forces and solve
-              for a displacement. The reason for this will be discussed in the subsequent tutorial.</p>
-          </div>
-          <div class="paragraph">
-            <p>The completed script, <code>create_cantilever.py</code>, can be found in the <code>cantilever</code>
-              subdirectory
-              in the examples.</p>
-          </div>
-          <div class="sect3">
-            <h4 id="_importing_the_required_python_modules">7.6.1. Importing the required python modules</h4>
-            <div class="paragraph">
-              <p>As in the previous tutorial, we start the python script by importing
-                the python modules that we will need. This time we will also need the
-                <code>numpy</code> module, as we are going to do some array manipulation.
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>from __future__ import division
+</div>
+</div>
+<div class="paragraph">
+<p>You can now proceed if you want to solve and analyze the model
+exactly as in
+<a href="#cube_tutorial">An introductory tutorial: compressing a solid cube</a>.</p>
+</div>
+<div class="paragraph">
+<p>This completes the tutorial on building the 6&#215;6&#215;6 cube
+compression model using <code>vtkbone</code>. We&#8217;ve seen that it takes considerably
+more work to write a script than to call <a href="#n88modelgenerator">n88modelgenerator</a>,
+so whenever it suffices,
+it is preferable to use <a href="#n88modelgenerator">n88modelgenerator</a>. However,
+although in this case we&#8217;ve done nothing that <a href="#n88modelgenerator">n88modelgenerator</a>
+couldn&#8217;t have done, we hope that you can imagine that now that we have
+a script, that we could potentially modify it in any number of ways beyond
+what would be possible with <a href="#n88modelgenerator">n88modelgenerator</a>.
+In subsequent tutorials, we&#8217;ll explore these possibilities.</p>
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="cantilever_tutorial">7.6. Tutorial: Deflection of a cantilevered beam; adding custom boundary conditions and loads</h3>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>In this tutorial, we are going to use <code>vtkbone</code> to create a model that is
+different than anything that could create with <a href="#n88modelgenerator">n88modelgenerator</a>.
+The test will be the deflection
+of a uniform beam fixed at one end, in other words a cantilever. We have chosen this model
+because there is a simple analytic solution to which we can compare the result.</p>
+</div>
+<div class="paragraph">
+<p>One aspect that will be new to this tutorial will be an applied force as part of the
+problem definition. Generally though, it is preferable to define models with fixed position
+boundary conditions and solve for the forces, rather than to specify forces and solve
+for a displacement. The reason for this will be discussed in the subsequent tutorial.</p>
+</div>
+<div class="paragraph">
+<p>The completed script, <code>create_cantilever.py</code>, can be found in the <code>cantilever</code> subdirectory
+in the examples.</p>
+</div>
+<div class="sect3">
+<h4 id="_importing_the_required_python_modules">7.6.1. Importing the required python modules</h4>
+<div class="paragraph">
+<p>As in the previous tutorial, we start the python script by importing
+the python modules that we will need. This time we will also need the
+<code>numpy</code> module, as we are going to do some array manipulation.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>from __future__ import division
 import argparse
 import numpy
 from numpy.core import * <img src="./images/icons/callouts/1.png" alt="1">
 import vtk
 import vtkbone
 from vtk.util.numpy_support import vtk_to_numpy, numpy_to_vtk <img src="./images/icons/callouts/2.png" alt="2"></pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>This just saves some typing later. For example we&#8217;ll be able to use the function
-                    <code>array</code> instead of the longer <code>numpy.array</code>.
-                  </td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/2.png" alt="2"></td>
-                  <td>These are the functions that allow us to convert numpy arrays to and
-                    from VTK data arrays.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>As before, we&#8217;ll also set a script version number:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>script_version = 3</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_setting_command_line_options">7.6.2. Setting command line options</h4>
-            <div class="paragraph">
-              <p>As before, we use the <code>argparse</code> module, which makes it quite simple to
-                define a couple of arguments for running the script, one of which,
-                the applied force, will have a numerical value.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>parser = argparse.ArgumentParser (
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>This just saves some typing later. For example we&#8217;ll be able to use the function
+<code>array</code> instead of the longer <code>numpy.array</code>.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/2.png" alt="2"></td>
+<td>These are the functions that allow us to convert numpy arrays to and
+from VTK data arrays.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>As before, we&#8217;ll also set a script version number:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>script_version = 3</pre>
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_setting_command_line_options">7.6.2. Setting command line options</h4>
+<div class="paragraph">
+<p>As before, we use the <code>argparse</code> module, which makes it quite simple to
+define a couple of arguments for running the script, one of which,
+the applied force, will have a numerical value.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>parser = argparse.ArgumentParser (
     description="""Generate a model for a cantilever with an
 applied force to the end of the beam.""")
 
@@ -11281,158 +8673,150 @@ <h4 id="_setting_command_line_options">7.6.2. Setting command line options</h4>
     help="Name for output n88model file.")
 
 args = parser.parse_args()</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_generating_the_image_data">7.6.3. Generating the image data</h4>
-            <div class="paragraph">
-              <p>The beam is going to have a very simple geometry, one which we
-                generate algorithmically without too much trouble. This is also going
-                to serve as a brief introduction to numpy arrays. Because the analytic
-                solution for the cantilever is essentially a 2D problem, we are going to
-                use just a beam width of just a single element. To scale up to a realistic
-                width, if desired, one can just scale all the forces. We are going to create
-                a beam of 200&#215;1&#215;20 elements, with a cubic element
-                of side length 0.5mm. Thus the beam has dimensions of length 100mm, height
-                10mm, and width 0.5mm (but again, everything scales linearly with the width,
-                so the obtained solution can be used for arbitrary widths).</p>
-            </div>
-            <div class="paragraph">
-              <p>Here is how we create a 3-dimensional array data of size 200&#215;1&#215;20:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>dims = array ((20, 1, 200)) <img src="./images/icons/callouts/1.png" alt="1">
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_generating_the_image_data">7.6.3. Generating the image data</h4>
+<div class="paragraph">
+<p>The beam is going to have a very simple geometry, one which we
+generate algorithmically without too much trouble. This is also going
+to serve as a brief introduction to numpy arrays. Because the analytic
+solution for the cantilever is essentially a 2D problem, we are going to
+use just a beam width of just a single element. To scale up to a realistic
+width, if desired, one can just scale all the forces. We are going to create
+a beam of 200&#215;1&#215;20 elements, with a cubic element
+of side length 0.5mm. Thus the beam has dimensions of length 100mm, height
+10mm, and width 0.5mm (but again, everything scales linearly with the width,
+so the obtained solution can be used for arbitrary widths).</p>
+</div>
+<div class="paragraph">
+<p>Here is how we create a 3-dimensional array data of size 200&#215;1&#215;20:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>dims = array ((20, 1, 200)) <img src="./images/icons/callouts/1.png" alt="1">
 cellmap = ones (dims) <img src="./images/icons/callouts/2.png" alt="2"></pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>The order of the dimensions is <em>z</em>,<em>y</em>,<em>x</em>, because numpy indices
-                    always are ordered with the &#8220;fastest-changing&#8221; index last, which
-                    must be <em>x</em>. On the other hand, VTK will generally
-                    want arguments specified as <em>x</em>,<em>y</em>,<em>z</em>. We will have to be careful
-                    about which order to use when.</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/2.png" alt="2"></td>
-                  <td><code>ones</code> is a numpy function that creates an array (in this case a
-                    3-dimensional array) filled with 1s.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>We need to convert this from a <code>numpy</code> array, which is natural to Python, to
-                a VTK data array:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>cellmap_vtk = numpy_to_vtk(ravel(cellmap), deep=1, array_type=vtk.VTK_INT)</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>There are a couple of subtle points here. The first is that VTK is actually
-                going to want the flattened data, meaning as one long 1-dimensional
-                array, rather than as a 3-dimensional array. (It will keep track of the
-                dimensionality separately, as we will see below.) Hence the use of <code>ravel</code>
-                function, which is a numpy function that returns the input array as a
-                one-dimensional array (without copying the underlying data if possible).
-                The other aspect to note is that we specify <code>deep=1</code>, which specifies
-                that the VTK array should create its own copy of the underlying
-                data, instead of just referring to the numpy data. This is less memory
-                efficient, but there are potential pitfalls with sharing the data, so we&#8217;ll
-                go with the more robust method of making a copy.</p>
-            </div>
-            <div class="paragraph">
-              <p>Now that we have the data, we&#8217;re going to create a <a
-                  href="http://www.vtk.org/doc/release/6.3/html/classvtkImageData.html">vtkImageData</a> object
-                which adds information such as the dimensions and the spacing.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>image = vtk.vtkImageData()
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>The order of the dimensions is <em>z</em>,<em>y</em>,<em>x</em>, because numpy indices
+always are ordered with the &#8220;fastest-changing&#8221; index last, which
+must be <em>x</em>. On the other hand, VTK will generally
+want arguments specified as <em>x</em>,<em>y</em>,<em>z</em>. We will have to be careful
+about which order to use when.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/2.png" alt="2"></td>
+<td><code>ones</code> is a numpy function that creates an array (in this case a
+3-dimensional array) filled with 1s.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>We need to convert this from a <code>numpy</code> array, which is natural to Python, to
+a VTK data array:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>cellmap_vtk = numpy_to_vtk(ravel(cellmap), deep=1, array_type=vtk.VTK_INT)</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>There are a couple of subtle points here. The first is that VTK is actually
+going to want the flattened data, meaning as one long 1-dimensional
+array, rather than as a 3-dimensional array. (It will keep track of the
+dimensionality separately, as we will see below.)  Hence the use of <code>ravel</code>
+function, which is a numpy function that returns the input array as a
+one-dimensional array (without copying the underlying data if possible).
+The other aspect to note is that we specify <code>deep=1</code>, which specifies
+that the VTK array should create its own copy of the underlying
+data, instead of just referring to the numpy data. This is less memory
+efficient, but there are potential pitfalls with sharing the data, so we&#8217;ll
+go with the more robust method of making a copy.</p>
+</div>
+<div class="paragraph">
+<p>Now that we have the data, we&#8217;re going to create a <a href="http://www.vtk.org/doc/release/6.3/html/classvtkImageData.html">vtkImageData</a> object
+which adds information such as the dimensions and the spacing.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>image = vtk.vtkImageData()
 image.SetDimensions(dims[::-1] + 1) <img src="./images/icons/callouts/1.png" alt="1">
 image.SetSpacing(0.5, 0.5, 0.5)
 image.GetCellData().SetScalars(cellmap_vtk)</pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>This is a little bit tricky. First, <code>dims[::-1]</code> simply means
-                    &#8220;dims reversed&#8221;, which we need because, as discussed above, dims
-                    is ordered <em>z</em>,<em>y</em>,<em>x</em>, but VTK requires <em>x</em>,<em>y</em>,<em>z</em>.
-                    Secondly we&#8217;re
-                    adding 1 (to every dimension) because <a
-                      href="http://www.vtk.org/doc/release/6.3/html/classvtkImageData.html">vtkImageData</a> dimensions
-                    are always in terms of the number of Points, rather than the number
-                    of Cells. The end result is (201, 2, 21).</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>We&#8217;ve set the spacing to 0.5 . In this tutorial, we are going to use
-                units of millimetres. Units are not specified in the
-                <code>n88model</code> file. Instead we will just have to ensure
-                that all our units are consistent.
-                See <a href="#note_about_units">A note about units</a>.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>We can at this point write out the <a
-                  href="http://www.vtk.org/doc/release/6.3/html/classvtkImageData.html">vtkImageData</a> as a
-                <code>.vti</code> file,
-                and open it with ParaView to ensure that we have obtained the desired result.
-                It should ressemble <a href="#beam_image">Figure 35</a>. As a beam, it looks absurdly thin, but
-                to emphasise once again, we are solving essentially a 2D problem; the
-                numerical results obtained can be scaled to any beam width.
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># Optional: write out image data to examine it
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>This is a little bit tricky. First, <code>dims[::-1]</code> simply means
+&#8220;dims reversed&#8221;, which we need because, as discussed above, dims
+is ordered <em>z</em>,<em>y</em>,<em>x</em>, but VTK requires <em>x</em>,<em>y</em>,<em>z</em>. Secondly we&#8217;re
+adding 1 (to every dimension) because <a href="http://www.vtk.org/doc/release/6.3/html/classvtkImageData.html">vtkImageData</a> dimensions
+are always in terms of the number of Points, rather than the number
+of Cells. The end result is (201, 2, 21).</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>We&#8217;ve set the spacing to 0.5 . In this tutorial, we are going to use
+units of millimetres. Units are not specified in the
+<code>n88model</code> file. Instead we will just have to ensure
+that all our units are consistent.
+See <a href="#note_about_units">A note about units</a>.</p>
+</div>
+<div class="paragraph">
+<p>We can at this point write out the <a href="http://www.vtk.org/doc/release/6.3/html/classvtkImageData.html">vtkImageData</a> as a <code>.vti</code> file,
+and open it with ParaView to ensure that we have obtained the desired result.
+It should ressemble <a href="#beam_image">Figure 41</a>. As a beam, it looks absurdly thin, but
+to emphasise once again, we are solving essentially a 2D problem; the
+numerical results obtained can be scaled to any beam width.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># Optional: write out image data to examine it
 
 print("Writing geometry file: beam_image.vti")
 writer = vtk.vtkXMLImageDataWriter()
 writer.SetInputData(image)
 writer.SetFileName("beam_image.vti")
 writer.Update()</pre>
-              </div>
-            </div>
-            <div id="beam_image" class="imageblock">
-              <div class="content">
-                <img src="images/beam_image.png" alt="beam image">
-              </div>
-              <div class="title">Figure 35. Generated beam image.</div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_generating_a_base_model_without_boundary_conditions">7.6.4. Generating a base model without
-              boundary conditions</h4>
-            <div class="paragraph">
-              <p>Now that we have an image, as in the previous tutorial, we convert it
-                to a geometric mesh:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># Generate a geometrical mesh from the input image
+</div>
+</div>
+<div id="beam_image" class="imageblock">
+<div class="content">
+<img src="images/beam_image.png" alt="beam image">
+</div>
+<div class="title">Figure 41. Generated beam image.</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_generating_a_base_model_without_boundary_conditions">7.6.4. Generating a base model without boundary conditions</h4>
+<div class="paragraph">
+<p>Now that we have an image, as in the previous tutorial, we convert it
+to a geometric mesh:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># Generate a geometrical mesh from the input image
 
 mesh_generator = vtkbone.vtkboneImageToMesh()
 mesh_generator.SetInputData(image)
 mesh_generator.Update()
 mesh = mesh_generator.GetOutput()</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>We also define a material (steel) and a material table.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># Create a material
+</div>
+</div>
+<div class="paragraph">
+<p>We also define a material (steel) and a material table.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># Create a material
 
 material = vtkbone.vtkboneLinearIsotropicMaterial()
 material.SetName("steel")
@@ -11441,116 +8825,109 @@ <h4 id="_generating_a_base_model_without_boundary_conditions">7.6.4. Generating
 
 material_table = vtkbone.vtkboneMaterialTable()
 material_table.AddMaterial (1, material) <img src="./images/icons/callouts/2.png" alt="2"></pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>200GPa is a typical value for the Young&#8217;s modulus
-                    of steel. We will use units of MPa. We have already
-                    declared that our length units are mm, hence all units will be
-                    consistent provided that we use Newtons for forces.</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/2.png" alt="2"></td>
-                  <td>The value 1 comes from the fact that we filled our image with 1s. All
-                    the elements will now be mapped to the material <em>steel</em>.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>In contrast to the previous tutorial, we won&#8217;t be using one of the standard
-                test generation filters. Rather we will use the base test generation filter
-                <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
-                , which creates a
-                <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-                object without any boundary
-                conditions.
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># Create a model without boundary conditions.
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>200GPa is a typical value for the Young&#8217;s modulus
+of steel. We will use units of MPa. We have already
+declared that our length units are mm, hence all units will be
+consistent provided that we use Newtons for forces.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/2.png" alt="2"></td>
+<td>The value 1 comes from the fact that we filled our image with 1s. All
+the elements will now be mapped to the material <em>steel</em>.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>In contrast to the previous tutorial, we won&#8217;t be using one of the standard
+test generation filters. Rather we will use the base test generation filter
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a> , which creates a
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a> object without any boundary
+conditions.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># Create a model without boundary conditions.
 
 generator = vtkbone.vtkboneApplyTestBase()
 generator.SetInputData(0, mesh)
 generator.SetInputData(1, material_table)
 generator.Update()
 model = generator.GetOutput()</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Before we add displacement boundary conditions and applied loads, let&#8217;s save
-                the model so we can examine the results as we build up our script.
-                Of course the model isn&#8217;t complete yet, but that doesn&#8217;t prevent us from
-                saving and examining it.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># Write an n88model file
+</div>
+</div>
+<div class="paragraph">
+<p>Before we add displacement boundary conditions and applied loads, let&#8217;s save
+the model so we can examine the results as we build up our script.
+Of course the model isn&#8217;t complete yet, but that doesn&#8217;t prevent us from
+saving and examining it.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># Write an n88model file
 
 print(f"Writing n88model file: {args.output_file}")
 writer = vtkbone.vtkboneN88ModelWriter()
 writer.SetInputData(model)
 writer.SetFileName(args.output_file)
 writer.Update()</pre>
-              </div>
-            </div>
-            <div class="admonitionblock important">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/important.png" alt="Important">
-                  </td>
-                  <td class="content">
-                    In everything that follows, it is intended that you add
-                    new lines to the script <strong>before</strong> the code (shown just above) that saves
-                    the model to a file. Otherwise of course the saved file won&#8217;t
-                    include our additions and changes.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>To run the script will require both a numerical value for the applied force
-                and an output file name. For now use these values:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>python create_cantilever.py -10 cantilever.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>We are choosing to use a negative applied force, because it is more natural to
-                think of a downward force applied to a cantilever.</p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_adding_fixed_boundary_conditions">7.6.5. Adding fixed boundary conditions</h4>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="paragraph">
-              <p>We want to fix one end of our beam, to weld it to the (virtual) wall.
-                Usually the step requiring the most work in defining boundary
-                condition is identifying the set of nodes that constitute the boundary
-                surface we are interested in. In this case, <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
-                has done the work for us, because although it doesn&#8217;t define any
-                boundary conditions, it does define node (and element) sets on all the faces. (To be more precise, it
-                defines node and element sets consisting
-                of any nodes/elements located at the <em>x</em>,<em>y</em> and <em>z</em> extents of the model.)
-                This is discussed in <a href="#creating_sets">Creating node and element sets</a>.
-                The names of these sets are listed there, but if you&#8217;ve run the script up to
-                this point, you can also use <a href="#n88modelinfo">n88modelinfo</a> to query the
-                set names:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ n88modelinfo --node_sets cantilever.n88model
+</div>
+</div>
+<div class="admonitionblock important">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/important.png" alt="Important">
+</td>
+<td class="content">
+In everything that follows, it is intended that you add
+new lines to the script <strong>before</strong> the code (shown just above) that saves
+the model to a file. Otherwise of course the saved file won&#8217;t
+include our additions and changes.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>To run the script will require both a numerical value for the applied force
+and an output file name. For now use these values:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>python create_cantilever.py -10 cantilever.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>We are choosing to use a negative applied force, because it is more natural to
+think of a downward force applied to a cantilever.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_adding_fixed_boundary_conditions">7.6.5. Adding fixed boundary conditions</h4>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>We want to fix one end of our beam, to weld it to the (virtual) wall.
+Usually the step requiring the most work in defining boundary
+condition is identifying the set of nodes that constitute the boundary
+surface we are interested in. In this case, <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
+has done the work for us, because although it doesn&#8217;t define any
+boundary conditions, it does define node (and element) sets on all the faces. (To be more precise, it defines node and element sets consisting
+of any nodes/elements located at the <em>x</em>,<em>y</em> and <em>z</em> extents of the model.)
+This is discussed in <a href="#creating_sets">Creating node and element sets</a>.
+The names of these sets are listed there, but if you&#8217;ve run the script up to
+this point, you can also use <a href="#n88modelinfo">n88modelinfo</a> to query the
+set names:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88modelinfo --node_sets cantilever.n88model
 NodeSets:
 ----------------------------------------------------------------------
 
@@ -11578,50 +8955,47 @@ <h4 id="_adding_fixed_boundary_conditions">7.6.5. Adding fixed boundary conditio
   Part : Part1
   NumberOfNodes : 4221
 ----------------------------------------------------------------------</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>There are also corresponding element sets, which can be listed with
-                the <code>--element_sets</code> option to <a href="#n88modelinfo">n88modelinfo</a>.</p>
-            </div>
-            <div class="paragraph">
-              <p>Node set <em>face_x0</em> is the one to which we are interested in applying a fixed
-                boundary condition. If you refer
-                to the the API documentation for <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>,
-                you
-                will see that there are a number of methods for defining boundary
-                conditions. One possibility is to use the method <code>FixNodes</code>, which
-                will fix the specified node set in all senses (directions). Only
-                one line of code would be required:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>model.FixNodes ("face_x0", "fixed_beam_base") <img src="./images/icons/callouts/1.png" alt="1"></pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td><em>face_x0</em> is the name of an existing node set; <em>fixed_beam_base</em>
-                    is the name we are assigning to the new constraint.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>However, as we are trying to obtain a result as close as possible to the
-                analytic 2D solution, it is actually better to not limit the freedom of
-                motion in the <em>y</em> direction on the boundary condition. This way, no
-                <em>y</em> direction forces will arise. Were there to be any forces in the <em>y</em>
-                direction, this would cause some essentially 3D effect on the <em>x-z</em> plane
-                by the mechanism of Poisson&#8217;s ratio. So instead of using <code>FixNodes</code>,
-                we will use the following slightly more verbose code
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># Create the fixed boundary conditions at the base of the beam.
+</div>
+</div>
+<div class="paragraph">
+<p>There are also corresponding element sets, which can be listed with
+the <code>--element_sets</code> option to <a href="#n88modelinfo">n88modelinfo</a>.</p>
+</div>
+<div class="paragraph">
+<p>Node set <em>face_x0</em> is the one to which we are interested in applying a fixed
+boundary condition. If you refer
+to the the API documentation for <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>, you
+will see that there are a number of methods for defining boundary
+conditions. One possibility is to use the method <code>FixNodes</code>, which
+will fix the specified node set in all senses (directions). Only
+one line of code would be required:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>model.FixNodes ("face_x0", "fixed_beam_base") <img src="./images/icons/callouts/1.png" alt="1"></pre>
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td><em>face_x0</em> is the name of an existing node set; <em>fixed_beam_base</em>
+is the name we are assigning to the new constraint.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>However, as we are trying to obtain a result as close as possible to the
+analytic 2D solution, it is actually better to not limit the freedom of
+motion in the <em>y</em> direction on the boundary condition. This way, no
+<em>y</em> direction forces will arise. Were there to be any forces in the <em>y</em>
+direction, this would cause some essentially 3D effect on the <em>x-z</em> plane
+by the mechanism of Poisson&#8217;s ratio. So instead of using <code>FixNodes</code>,
+we will use the following slightly more verbose code</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># Create the fixed boundary conditions at the base of the beam.
 # To obtain a more truely 2D result, no constraint is applied to
 # displacements in the _y_ direction.
 
@@ -11635,15 +9009,15 @@ <h4 id="_adding_fixed_boundary_conditions">7.6.5. Adding fixed boundary conditio
     vtkbone.vtkboneConstraint.SENSE_Z,
     0,
     "fixed_beam_base_z")</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>If you now run the script, you can then use <a href="#n88modelinfo">n88modelinfo</a> to verify
-                that the boundary condition has indeed been generated:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ n88modelinfo --constraints cantilever.n88model
+</div>
+</div>
+<div class="paragraph">
+<p>If you now run the script, you can then use <a href="#n88modelinfo">n88modelinfo</a> to verify
+that the boundary condition has indeed been generated:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88modelinfo --constraints cantilever.n88model
 Constraints:
 ----------------------------------------------------------------------
 
@@ -11657,44 +9031,42 @@ <h4 id="_adding_fixed_boundary_conditions">7.6.5. Adding fixed boundary conditio
   Type : NodeAxisDisplacement
   NumberOfValues : 42
 ----------------------------------------------------------------------</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_adding_an_applied_load_to_tip_of_the_beam">7.6.6. Adding an applied load to tip of the beam</h4>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="paragraph">
-              <p>At the free end of the beam, we are going to apply a load.
-                Creating an applied load is very similar to creating a displacement boundary
-                condition. <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-                provides a number of methods
-                for this purpose. There are some important differences,</p>
-            </div>
-            <div class="olist arabic">
-              <ol class="arabic">
-                <li>
-                  <p>Applied loads are applied to element sets; displacement boundary conditions are applied
-                    to node sets.</p>
-                </li>
-                <li>
-                  <p>Applied loads require the additional specification of a particular face of
-                    the elements to which to apply the load, or else the specification that
-                    it is a body force. We are going to apply the load to the outward faces
-                    of the end elements (<em>i.e.</em> those facing in the <em>x</em> direction).</p>
-                </li>
-              </ol>
-            </div>
-            <div class="paragraph">
-              <p>Here is the code to create an applied load constraint, named <em>end_force</em>
-                to the pre-defined element set <em>face_x1</em>. corresponding to the end
-                face of the beam.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># Apply a force to the far end of the beam
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_adding_an_applied_load_to_tip_of_the_beam">7.6.6. Adding an applied load to tip of the beam</h4>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>At the free end of the beam, we are going to apply a load.
+Creating an applied load is very similar to creating a displacement boundary
+condition. <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a> provides a number of methods
+for this purpose. There are some important differences,</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>Applied loads are applied to element sets; displacement boundary conditions are applied
+to node sets.</p>
+</li>
+<li>
+<p>Applied loads require the additional specification of a particular face of
+the elements to which to apply the load, or else the specification that
+it is a body force. We are going to apply the load to the outward faces
+of the end elements (<em>i.e.</em> those facing in the <em>x</em> direction).</p>
+</li>
+</ol>
+</div>
+<div class="paragraph">
+<p>Here is the code to create an applied load constraint, named <em>end_force</em>
+to the pre-defined element set <em>face_x1</em>. corresponding to the end
+face of the beam.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># Apply a force to the far end of the beam
 
 model.ApplyLoad(
 	"face_x1", <img src="./images/icons/callouts/1.png" alt="1">
@@ -11702,132 +9074,127 @@ <h4 id="_adding_an_applied_load_to_tip_of_the_beam">7.6.6. Adding an applied loa
 	vtkbone.vtkboneConstraint.SENSE_Z, <img src="./images/icons/callouts/3.png" alt="3">
 	args.applied_force, <img src="./images/icons/callouts/4.png" alt="4">
 	"end_force") <img src="./images/icons/callouts/5.png" alt="5"></pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>This node set was created by <a
-                      href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
-                    . Here
-                    <em>face_x1</em> means elements on the <em>x1</em> face of the entire model.
-                  </td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/2.png" alt="2"></td>
-                  <td>This specifies the <em>x1</em> faces of the elements.</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/3.png" alt="3"></td>
-                  <td>This specifies the direction of the applied force. (The value of
-                    <code>vtkbone.vtkboneConstraint.SENSE_Z</code> is 2, but the named constant conveys
-                    the intent more clearly than the numerical value.)
-                  </td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/4.png" alt="4"></td>
-                  <td>The applied force will be equally divided among the element faces in the set.
-                    Units, as discusssed above, are Newtons.</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/5.png" alt="5"></td>
-                  <td>The name of the newly-created constraint.</td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_adding_a_convergence_set">7.6.7. Adding a convergence set</h4>
-            <div class="paragraph">
-              <p>As discussed in <a href="#convergence_measure">Convergence measure</a> there are different possibilites
-                for
-                the convergence measure, which is used by the solver to determine when the
-                solution has iterated enough to obtain an acceptable solution. Generally,
-                the best convergence measure to use for linear problems is <em>convergence set</em>.
-                This convergence measure can only be used if we define a <em>convergence set</em> within the
-                model file. A <em>convergence set</em> is something that we choose, and we generally want
-                to choose the quantity that we are most interested in calculating. For example,
-                for a cantilever, this quantity could be the displacement of the tip of the
-                cantilever. You might imagine that this would be difficult to specify. But in most
-                cases, this quantity of interest is the complement of some boundary condition or
-                applied force. In this case, the displacement is the complement of the force
-                applied to the tip. There is a method to generate a convergence set from a boundary
-                condition or from an applied force, and it is very simple to use:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># Create a convergence set: the displacement of the tip
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>This node set was created by <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a> . Here
+<em>face_x1</em> means elements on the <em>x1</em> face of the entire model.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/2.png" alt="2"></td>
+<td>This specifies the <em>x1</em> faces of the elements.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/3.png" alt="3"></td>
+<td>This specifies the direction of the applied force. (The value of
+<code>vtkbone.vtkboneConstraint.SENSE_Z</code> is 2, but the named constant conveys
+the intent more clearly than the numerical value.)</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/4.png" alt="4"></td>
+<td>The applied force will be equally divided among the element faces in the set.
+Units, as discusssed above, are Newtons.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/5.png" alt="5"></td>
+<td>The name of the newly-created constraint.</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_adding_a_convergence_set">7.6.7. Adding a convergence set</h4>
+<div class="paragraph">
+<p>As discussed in <a href="#convergence_measure">Convergence measure</a> there are different possibilites for
+the convergence measure, which is used by the solver to determine when the
+solution has iterated enough to obtain an acceptable solution. Generally,
+the best convergence measure to use for linear problems is <em>convergence set</em>.
+This convergence measure can only be used if we define a <em>convergence set</em> within the
+model file. A <em>convergence set</em> is something that we choose, and we generally want
+to choose the quantity that we are most interested in calculating. For example,
+for a cantilever, this quantity could be the displacement of the tip of the
+cantilever. You might imagine that this would be difficult to specify. But in most
+cases, this quantity of interest is the complement of some boundary condition or
+applied force. In this case, the displacement is the complement of the force
+applied to the tip. There is a method to generate a convergence set from a boundary
+condition or from an applied force, and it is very simple to use:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># Create a convergence set: the displacement of the tip
 
 model.ConvergenceSetFromConstraint("end_force")</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>This method notices that the constraint named <em>end_force</em>, which we created previously,
-                is an applied force,
-                and that it is applied to the faces of certain elements. It then constructs the
-                compliment, which is the displacement, averaged over all nodes located on those
-                element faces. It is this
-                average displacement of the tip that the solver will watch to determine when
-                its value ceases to change meaningfully. At that point the solver is finished.</p>
-            </div>
-            <div class="admonitionblock note">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/note.png" alt="Note">
-                  </td>
-                  <td class="content">
-                    <div class="paragraph">
-                      <p>In this case we have passed an applied force to <code>ConvergenceSetFromConstraint</code>,
-                        and so the complement is naturally the average displacement of the corresponding
-                        nodes. If instead you pass a boundary condition to <code>ConvergenceSetFromConstraint</code>,
-                        then the resulting <em>convergence set</em> will be the total force on the nodes
-                        belonging to the specified boundary condition.</p>
-                    </div>
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="admonitionblock note">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/note.png" alt="Note">
-                  </td>
-                  <td class="content">
-                    <div class="paragraph">
-                      <p>The fact the we define a convergence set in the model file
-                        does not limit us to choosing the <em>convergence set</em> convergence measure.
-                        Although the solver will default to using the <em>convergence set</em> convergence
-                        measure if it finds a <em>convergence set</em> defined in the n88model file,
-                        we can always run the solver while specifying a different convergence measure,
-                        using the option <a href="#n88solver_convergence_measure">convergence_measure</a>.
-                        Similarly, we can skip altogether defining a convergence set, and the solver
-                        will default to a convergence measure that doesn&#8217;t require it. The only
-                        drawback is that the other convergence measures are necessarily more
-                        conservative, and so the solver will usually run for more iterations than
-                        would be strictly necessary for the desired precision.</p>
-                    </div>
-                  </td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="cantilever_post_processing_sets">7.6.8. Specifying sets for post-processing</h4>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="paragraph">
-              <p>There is one more step required, and that is to identify the sets to
-                be used for post-processing calculations by <a href="#n88postfaim">n88postfaim</a>.
-                We are interested in values on the sets <em>face_x0</em> and <em>face_x1</em>.
-                The magic lines of code are:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># Set the node sets and element sets that will be used for post-processing
+</div>
+</div>
+<div class="paragraph">
+<p>This method notices that the constraint named <em>end_force</em>, which we created previously,
+is an applied force,
+and that it is applied to the faces of certain elements. It then constructs the
+compliment, which is the displacement, averaged over all nodes located on those
+element faces. It is this
+average displacement of the tip that the solver will watch to determine when
+its value ceases to change meaningfully. At that point the solver is finished.</p>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>In this case we have passed an applied force to <code>ConvergenceSetFromConstraint</code>,
+and so the complement is naturally the average displacement of the corresponding
+nodes. If instead you pass a boundary condition to <code>ConvergenceSetFromConstraint</code>,
+then the resulting <em>convergence set</em> will be the total force on the nodes
+belonging to the specified boundary condition.</p>
+</div>
+</td>
+</tr>
+</table>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>The fact the we define a convergence set in the model file
+does not limit us to choosing the <em>convergence set</em> convergence measure.
+Although the solver will default to using the <em>convergence set</em> convergence
+measure if it finds a <em>convergence set</em> defined in the n88model file,
+we can always run the solver while specifying a different convergence measure,
+using the option <a href="#n88solver_convergence_measure">convergence_measure</a>.
+Similarly, we can skip altogether defining a convergence set, and the solver
+will default to a convergence measure that doesn&#8217;t require it. The only
+drawback is that the other convergence measures are necessarily more
+conservative, and so the solver will usually run for more iterations than
+would be strictly necessary for the desired precision.</p>
+</div>
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="cantilever_post_processing_sets">7.6.8. Specifying sets for post-processing</h4>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>There is one more step required, and that is to identify the sets to
+be used for post-processing calculations by <a href="#n88postfaim">n88postfaim</a>.
+We are interested in values on the sets <em>face_x0</em> and <em>face_x1</em>.
+The magic lines of code are:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># Set the node sets and element sets that will be used for post-processing
 
 info = model.GetInformation()
 pp_node_sets_key = vtkbone.vtkboneSolverParameters.POST_PROCESSING_NODE_SETS()
@@ -11836,15 +9203,15 @@ <h4 id="cantilever_post_processing_sets">7.6.8. Specifying sets for post-process
 pp_elem_sets_key.Append(info, "face_x0")
 pp_node_sets_key.Append(info, "face_x1")
 pp_elem_sets_key.Append(info, "face_x1")</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>After running the script, we can verify that these post-processing sets
-                are in fact specified in the <code>n88model</code> file:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ n88modelinfo --problems cantilever.n88model
+</div>
+</div>
+<div class="paragraph">
+<p>After running the script, we can verify that these post-processing sets
+are in fact specified in the <code>n88model</code> file:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88modelinfo --problems cantilever.n88model
 Problems:
 ----------------------------------------------------------------------
 
@@ -11855,41 +9222,41 @@ <h4 id="cantilever_post_processing_sets">7.6.8. Specifying sets for post-process
   PostProcessingNodeSets : face_x0,face_x1
   PostProcessingElementSets : face_x0,face_x1
 ----------------------------------------------------------------------</pre>
-              </div>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    <div class="paragraph">
-                      <p>It is possible to skip this step, and instead to specify later the node and
-                        element sets to be used by <a href="#n88postfaim">n88postfaim</a> on the
-                        command line of <a href="#n88postfaim">n88postfaim</a> with the argument</p>
-                    </div>
-                    <div class="listingblock">
-                      <div class="content">
-                        <pre>--sets=face_x0,face_x1</pre>
-                      </div>
-                    </div>
-                  </td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_documenting_the_model_in_the_file_log">7.6.9. Documenting the model in the file log</h4>
-            <div class="paragraph">
-              <p>As discussed previously, it is good practice to document the
-                model creation in both the file History and the file Log. Here we
-                add these lines (again they must come before the code that saves
-                the model):</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># Update history and log
+</div>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>It is possible to skip this step, and instead to specify later the node and
+element sets to be used by <a href="#n88postfaim">n88postfaim</a> on the
+command line of <a href="#n88postfaim">n88postfaim</a> with the argument</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>--sets=face_x0,face_x1</pre>
+</div>
+</div>
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_documenting_the_model_in_the_file_log">7.6.9. Documenting the model in the file log</h4>
+<div class="paragraph">
+<p>As discussed previously, it is good practice to document the
+model creation in both the file History and the file Log. Here we
+add these lines (again they must come before the code that saves
+the model):</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># Update history and log
 
 model.AppendHistory(f"Created by create_cantilever.py version {script_version} .")
 
@@ -11899,16 +9266,16 @@ <h4 id="_documenting_the_model_in_the_file_log">7.6.9. Documenting the model in
     Using vtkbone version {vtkbone.vtkboneVersion.GetvtkboneVersion()} .
     """
 )</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>If we run the script to generate the <code>n88model</code> file, we can at
-                any later time get a brief description of the model and determine
-                what versions were used (including what version of <code>vtkbone</code>).</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ n88modelinfo --history --log cantilever.n88model
+</div>
+</div>
+<div class="paragraph">
+<p>If we run the script to generate the <code>n88model</code> file, we can at
+any later time get a brief description of the model and determine
+what versions were used (including what version of <code>vtkbone</code>).</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88modelinfo --history --log cantilever.n88model
 History:
 ----------------------------------------------------------------------
 2016-Sep-22 17:33:32 Created by create_cantilever.py version 3 .
@@ -11921,271 +9288,255 @@ <h4 id="_documenting_the_model_in_the_file_log">7.6.9. Documenting the model in
 Cantilever beam model with applied force on far face edge of -10.0 .
 Using vtkbone version 1.0 .
 ----------------------------------------------------------------------</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_solving_the_problem_and_comparing_with_theory">7.6.10. Solving the problem and comparing with
-              theory</h4>
-            <div class="paragraph">
-              <p>The model is quickly solved with <a href="#faim">faim</a>:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ faim cantilever.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>If we open the solved file <code>cantilever.n88model</code> in ParaView, we can
-                observe the beam deflection as shown in <a href="#beam_bending_deflection">Figure 36</a>.
-                Here the deflection is amplified by 10 so as to be more evident.
-                The figure is colored by the <em>xx</em> component of strain, with red being
-                tensile and blue being compressive. This is easily done in ParaView, simply
-                by selecting the relevant quantities from the drop-down boxes in the toolbar,
-                as in <a href="#paraview_strain_xx">Figure 37</a>.</p>
-            </div>
-            <div id="beam_bending_deflection" class="imageblock">
-              <div class="content">
-                <img src="images/beam_bending_deflection.png" alt="beam bending deflection">
-              </div>
-              <div class="title">Figure 36. Deflection of loaded cantilever beam. Displacement amplified by 10.
-                Coloration by xx component of strain.</div>
-            </div>
-            <div id="paraview_strain_xx" class="imageblock">
-              <div class="content">
-                <img src="images/paraview_strain_xx.png" alt="paraview strain xx">
-              </div>
-              <div class="title">Figure 37. XX component of strain selected in ParaView toolbar.</div>
-            </div>
-            <div class="paragraph">
-              <p>Now let&#8217;s compare quantitatively with the analytical result for deflection of a cantilever beam
-                as found in any Mechanics of Solids textbook
-                or on wikipedia at <a href="https://en.wikipedia.org/wiki/Deflection_%28engineering%29"
-                  class="bare">https://en.wikipedia.org/wiki/Deflection_%28engineering%29</a>. We have that
-                the deflection &#948; of the end of a cantilever beam is</p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                \delta = \frac {F L^3} {3 E I}
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>where</p>
-            </div>
-            <div class="hdlist">
-              <table>
-                <tr>
-                  <td class="hdlist1">
-                    \(F\)
-                  </td>
-                  <td class="hdlist2">
-                    <p>= force acting on the tip of the beam</p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="hdlist1">
-                    \(L\)
-                  </td>
-                  <td class="hdlist2">
-                    <p>= length of the beam (span)</p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="hdlist1">
-                    \(E\)
-                  </td>
-                  <td class="hdlist2">
-                    <p>= modulus of elasticity</p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="hdlist1">
-                    \(I\)
-                  </td>
-                  <td class="hdlist2">
-                    <p>= area moment of inertia</p>
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>For a beam with a rectangular cross-section \(b \times h\), the area moment of
-                inertia is</p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                I = \frac{b h^3}{12}
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>so that we have</p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                \delta = \frac {4 F L^3}{E b h^3}
-                = \frac {4 \,(10 \, \mathrm{N}) (100 \, \mathrm{mm})^3} {(2 \times 10^5 \, \mathrm{MPa}) (0.5 \,
-                \mathrm{mm}) (10 \, \mathrm{mm})^3} = 0.4 \, \mathrm{mm}
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>You can observe this deflection in ParaView, and we can get a
-                precise number by looking in the <code>beam_analysis.txt</code> file, in the table
-                <em>Nodal Displacements</em>. In this case
-                the result, 0.4018, is very close to 0.4 .
-              </p>
-            </div>
-            <div id="beam_nodal_displacements" class="imageblock">
-              <div class="content">
-                <img src="images/beam_nodal_displacements_hr.png" alt="beam nodal displacements hr">
-              </div>
-              <div class="title">Figure 38. Amount of deflection of the end face of the cantilever beam, as found in the
-                analysis file.</div>
-            </div>
-            <div class="paragraph">
-              <p>This concludes the cantilever beam tutorial. We learned how to create
-                custom models using <code>vtkbone</code> that are beyond the standard types of models
-                that <a href="#n88modelgenerator">n88modelgenerator</a> can generate. We were also
-                introduced to a new type of constraint, which was the applied load.</p>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="cantilever_elastoplastic_tutorial">7.7. Tutorial: A cantilevered beam with elastoplastic material
-            properties</h3>
-          <div class="paragraph">
-            <p>This tutorial uses the same model as the previous one, but now we will solve
-              it using nonlinear elastoplastic material properties.</p>
-          </div>
-          <div class="sect3">
-            <h4 id="_analytic_solution">7.7.1. Analytic solution</h4>
-            <div class="paragraph">
-              <p>The cantilever problem has a known analytic solution even in the case of
-                nonlinear elastoplastic material properties. This solution is due to
-                <a href="#timoshenko1997">Timoshenko and Gere (1997)</a>.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>Before building and solving some models, we will consider the analytic
-                solution, because it will indicate what range of test loads are both
-                interesting and reasonable, which is a non-trivial question for
-                nonlinear problems.</p>
-            </div>
-            <div class="paragraph">
-              <p>The applied load at which the cantilever begins to yield, F<sub>y</sub>, is</p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                F_y = \frac {\sigma_y b h^2} {6 L}
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>where &#963;<sub>y</sub> is the material yield strength (<em>i.e.</em> the value of uniaxial stress
-                at which the material starts to yield), and all other symbols are as in the
-                previous section.</p>
-            </div>
-            <div class="paragraph">
-              <p>For our current model, for which we will use &#963;<sub>y</sub> = 120 MPa, this evaluates to</p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                F_y = \frac { (120 \, \mathrm{MPa}) (0.5 \, \mathrm{mm}) (10 \, \mathrm{mm})^2}
-                {6 \, (100 \, \mathrm{mm})} = 10 \, \mathrm{N}
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>You will notice that this value corresponds (not entirely coincidently) with the
-                applied force used for the linear case in the previous section, for which we
-                had calculated a deflection of 0.4 mm.</p>
-            </div>
-            <div class="paragraph">
-              <p>In the yielding region, the beam deflection is</p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                \frac {\delta} {\delta_y} ~=~ \left ( \frac {F_y} {F} \right )^2 \left ( 5
-                - \left ( 3 + \frac {F} {F_y} \right ) \sqrt {3 - \frac {2 F} {F_y} } \right )
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>This expression is only valid for 1 &#8804; <em>F</em> / <em>F<sub>y</sub></em> &#8804; 3/2; the
-                cantilever
-                will not withstand any force larger than this. For the current model this range corresponds
-                to between 10 N and 15 N.</p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_changes_to_the_generation_script">7.7.2. Changes to the generation script</h4>
-            <div class="paragraph">
-              <p>The model generation script is named <code>create_cantilever_ep.py</code>. It differs from the script
-                in the
-                previous tutorial, <code>create_cantilever.py</code>, only in the definition of the
-                material. This becomes</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># Create a material
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_solving_the_problem_and_comparing_with_theory">7.6.10. Solving the problem and comparing with theory</h4>
+<div class="paragraph">
+<p>The model is quickly solved with <a href="#faim">faim</a>:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ faim cantilever.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>If we open the solved file <code>cantilever.n88model</code> in ParaView, we can
+observe the beam deflection as shown in <a href="#beam_bending_deflection">Figure 42</a>.
+Here the deflection is amplified by 10 so as to be more evident.
+The figure is colored by the <em>xx</em> component of strain, with red being
+tensile and blue being compressive. This is easily done in ParaView, simply
+by selecting the relevant quantities from the drop-down boxes in the toolbar,
+as in <a href="#paraview_strain_xx">Figure 43</a>.</p>
+</div>
+<div id="beam_bending_deflection" class="imageblock">
+<div class="content">
+<img src="images/beam_bending_deflection.png" alt="beam bending deflection">
+</div>
+<div class="title">Figure 42. Deflection of loaded cantilever beam. Displacement amplified by 10. Coloration by xx component of strain.</div>
+</div>
+<div id="paraview_strain_xx" class="imageblock">
+<div class="content">
+<img src="images/paraview_strain_xx.png" alt="paraview strain xx">
+</div>
+<div class="title">Figure 43. XX component of strain selected in ParaView toolbar.</div>
+</div>
+<div class="paragraph">
+<p>Now let&#8217;s compare quantitatively with the analytical result for deflection of a cantilever beam
+as found in any Mechanics of Solids textbook
+or on wikipedia at <a href="https://en.wikipedia.org/wiki/Deflection_%28engineering%29" class="bare">https://en.wikipedia.org/wiki/Deflection_%28engineering%29</a>. We have that
+the deflection &#948; of the end of a cantilever beam is</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+\delta = \frac {F L^3} {3 E I}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>where</p>
+</div>
+<div class="hdlist">
+<table>
+<tr>
+<td class="hdlist1">
+\(F\) 
+</td>
+<td class="hdlist2">
+<p>= force acting on the tip of the beam</p>
+</td>
+</tr>
+<tr>
+<td class="hdlist1">
+\(L\) 
+</td>
+<td class="hdlist2">
+<p>= length of the beam (span)</p>
+</td>
+</tr>
+<tr>
+<td class="hdlist1">
+\(E\) 
+</td>
+<td class="hdlist2">
+<p>= modulus of elasticity</p>
+</td>
+</tr>
+<tr>
+<td class="hdlist1">
+\(I\) 
+</td>
+<td class="hdlist2">
+<p>= area moment of inertia</p>
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>For a beam with a rectangular cross-section \(b \times h\), the area moment of
+inertia is</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+I = \frac{b h^3}{12}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>so that we have</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+\delta = \frac {4 F L^3}{E b h^3}
+= \frac {4 \,(10 \, \mathrm{N}) (100 \, \mathrm{mm})^3} {(2 \times 10^5 \, \mathrm{MPa}) (0.5 \, \mathrm{mm}) (10 \, \mathrm{mm})^3} = 0.4 \, \mathrm{mm}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>You can observe this deflection in ParaView, and we can get a
+precise number by looking in the <code>beam_analysis.txt</code> file, in the table
+<em>Nodal Displacements</em>. In this case
+the result, 0.4018, is very close to 0.4 .</p>
+</div>
+<div id="beam_nodal_displacements" class="imageblock">
+<div class="content">
+<img src="images/beam_nodal_displacements_hr.png" alt="beam nodal displacements hr">
+</div>
+<div class="title">Figure 44. Amount of deflection of the end face of the cantilever beam, as found in the analysis file.</div>
+</div>
+<div class="paragraph">
+<p>This concludes the cantilever beam tutorial. We learned how to create
+custom models using <code>vtkbone</code> that are beyond the standard types of models
+that <a href="#n88modelgenerator">n88modelgenerator</a> can generate. We were also
+introduced to a new type of constraint, which was the applied load.</p>
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="cantilever_elastoplastic_tutorial">7.7. Tutorial: A cantilevered beam with elastoplastic material properties</h3>
+<div class="paragraph">
+<p>This tutorial uses the same model as the previous one, but now we will solve
+it using nonlinear elastoplastic material properties.</p>
+</div>
+<div class="sect3">
+<h4 id="_analytic_solution">7.7.1. Analytic solution</h4>
+<div class="paragraph">
+<p>The cantilever problem has a known analytic solution even in the case of
+nonlinear elastoplastic material properties. This solution is due to
+<a href="#timoshenko1997">Timoshenko and Gere (1997)</a>.</p>
+</div>
+<div class="paragraph">
+<p>Before building and solving some models, we will consider the analytic
+solution, because it will indicate what range of test loads are both
+interesting and reasonable, which is a non-trivial question for
+nonlinear problems.</p>
+</div>
+<div class="paragraph">
+<p>The applied load at which the cantilever begins to yield, F<sub>y</sub>, is</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+F_y = \frac {\sigma_y b h^2} {6 L}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>where &#963;<sub>y</sub> is the material yield strength (<em>i.e.</em> the value of uniaxial stress
+at which the material starts to yield), and all other symbols are as in the
+previous section.</p>
+</div>
+<div class="paragraph">
+<p>For our current model, for which we will use &#963;<sub>y</sub> = 120 MPa, this evaluates to</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+F_y = \frac { (120 \, \mathrm{MPa}) (0.5 \, \mathrm{mm}) (10 \, \mathrm{mm})^2}
+  {6 \, (100 \, \mathrm{mm})} = 10 \, \mathrm{N}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>You will notice that this value corresponds (not entirely coincidently) with the
+applied force used for the linear case in the previous section, for which we
+had calculated a deflection of 0.4 mm.</p>
+</div>
+<div class="paragraph">
+<p>In the yielding region, the beam deflection is</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+\frac {\delta} {\delta_y} ~=~ \left ( \frac {F_y} {F} \right )^2 \left ( 5
+ - \left ( 3 + \frac {F} {F_y} \right ) \sqrt {3 - \frac {2 F} {F_y} } \right )
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>This expression is only valid for 1 &#8804; <em>F</em> / <em>F<sub>y</sub></em> &#8804; 3/2; the cantilever
+will not withstand any force larger than this. For the current model this range corresponds
+to between 10 N and 15 N.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_changes_to_the_generation_script">7.7.2. Changes to the generation script</h4>
+<div class="paragraph">
+<p>The model generation script is named <code>create_cantilever_ep.py</code>. It differs from the script in the
+previous tutorial, <code>create_cantilever.py</code>, only in the definition of the
+material. This becomes</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># Create a material
 
 material = vtkbone.vtkboneVonMisesIsotropicMaterial()
 material.SetName("steel")
 material.SetYoungsModulus(2.0E5)  # units are MPa
 material.SetPoissonsRatio(0.3)
 material.SetYieldStrength(120)   # units are MPa</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>For a <em>von Mises</em> elastoplastic material, we have exactly one new parameter
-                as compared with a linear material, and that is the yield strength, here
-                set to 120 MPa. The exact parameters required depend on the material. For
-                example a <em>Mohr Coulomb</em> material would have two additional parameters,
-                which are set with the method <code>SetYieldStrengths(Y_tension,Y_compression)</code>.
-                As always, for exact usage refer to the <code>vtkbone</code> API documentation
-                ( <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneVonMisesIsotropicMaterial.html">vtkboneVonMisesIsotropicMaterial</a>
-                and
-                <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneMohrCoulombIsotropicMaterial.html">vtkboneMohrCoulombIsotropicMaterial</a>
-                ).
-              </p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_generating_the_model_and_verifying_the_material">7.7.3. Generating the model and verifying the
-              material</h4>
-            <div class="paragraph">
-              <p>As in the linear case, we generate the model with</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>python create_cantilever_ep.py -14.5 cantilever_ep_145.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>And we can quickly verify that this model uses a <em>von Mises</em> material
-                with</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88modelinfo --material cantilever_ep.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>The output is</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>Materials:
+</div>
+</div>
+<div class="paragraph">
+<p>For a <em>von Mises</em> elastoplastic material, we have exactly one new parameter
+as compared with a linear material, and that is the yield strength, here
+set to 120 MPa. The exact parameters required depend on the material. For
+example a <em>Mohr Coulomb</em> material would have two additional parameters,
+which are set with the method <code>SetYieldStrengths(Y_tension,Y_compression)</code>.
+As always, for exact usage refer to the <code>vtkbone</code> API documentation
+( <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneVonMisesIsotropicMaterial.html">vtkboneVonMisesIsotropicMaterial</a> and
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneMohrCoulombIsotropicMaterial.html">vtkboneMohrCoulombIsotropicMaterial</a> ).</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_generating_the_model_and_verifying_the_material">7.7.3. Generating the model and verifying the material</h4>
+<div class="paragraph">
+<p>As in the linear case, we generate the model with</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>python create_cantilever_ep.py -14.5 cantilever_ep_145.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>And we can quickly verify that this model uses a <em>von Mises</em> material
+with</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88modelinfo --material cantilever_ep_145.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>The output is</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Materials:
 ----------------------------------------------------------------------
 
   Name : steel
@@ -12194,70 +9545,66 @@ <h4 id="_generating_the_model_and_verifying_the_material">7.7.3. Generating the
   nu : 0.3
   Y : 120.0
 ----------------------------------------------------------------------</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_solving_the_model_4">7.7.4. Solving the model</h4>
-            <div class="paragraph">
-              <p>The cantilever is, for various reasons, a
-                particularly difficult model for a finite element solver. When combined with
-                nonlinear material properties, in order to get the most accurate results,
-                it is necessary to tighten the convergence tolerance. Thus for the following
-                results, we ran the solver as follows,</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>faim --convergence_tolerance=1E-9 cantilever_ep_145.n88model <img src="./images/icons/callouts/1.png" alt="1"></pre>
-              </div>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    <div class="paragraph">
-                      <p>Although this is a small model, elastoplastic models take considerably
-                        longer to run than linear models, so if you have a system with a suitable
-                        GPU, make use of the option <code>--engine=nv</code>. On the other hand, such a small
-                        model is solved fastest all on one GPU, even in a system with multiple
-                        available GPUs.</p>
-                    </div>
-                  </td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_plastic_strain_distribution">7.7.5. Plastic strain distribution</h4>
-            <div class="paragraph">
-              <p>A solution with applied force of 14.5 N is shown in <a href="#beam_bending_ep_deflection">Figure
-                  39</a>.
-                In comparison with the linear case of <a href="#beam_bending_deflection">Figure 36</a>,
-                we see that the strain is much more concentrated near the fixed end of the beam.</p>
-            </div>
-            <div id="beam_bending_ep_deflection" class="imageblock">
-              <div class="content">
-                <img src="images/cantilever_total_strain.png" alt="cantilever total strain">
-              </div>
-              <div class="title">Figure 39. Deflection of loaded elastoplastic cantilever beam. Displacement amplified
-                by 10. Coloration by xx component of total strain.</div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_comparison_of_finite_element_and_analytic_results">7.7.6. Comparison of finite element and analytic
-              results</h4>
-            <div class="paragraph">
-              <p>By generating and solving models for various loads in the plastic range, we can
-                generate table <a href="#elastoplastic_cantilever_results">Elastoplastic cantilever results</a>. To do
-                this, first we create
-                a number of sequence of models</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>python create_cantilever_ep.py -10.0 cantilever_ep_100.n88model
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_solving_the_model_4">7.7.4. Solving the model</h4>
+<div class="paragraph">
+<p>The cantilever is, for various reasons, a
+particularly difficult model for a finite element solver. When combined with
+nonlinear material properties, in order to get the most accurate results,
+it is necessary to tighten the convergence tolerance. Thus for the following
+results, we ran the solver as follows,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>faim --convergence_tolerance=1E-9 cantilever_ep_145.n88model <img src="./images/icons/callouts/1.png" alt="1"></pre>
+</div>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>Although this is a small model, elastoplastic models take considerably
+longer to run than linear models, so if you have a system with a suitable
+GPU, make use of the option <code>--engine=nv</code>. On the other hand, such a small
+model is solved fastest all on one GPU, even in a system with multiple
+available GPUs.</p>
+</div>
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_plastic_strain_distribution">7.7.5. Plastic strain distribution</h4>
+<div class="paragraph">
+<p>A solution with applied force of 14.5 N is shown in <a href="#beam_bending_ep_deflection">Figure 45</a>.
+In comparison with the linear case of <a href="#beam_bending_deflection">Figure 42</a>,
+we see that the strain is much more concentrated near the fixed end of the beam.</p>
+</div>
+<div id="beam_bending_ep_deflection" class="imageblock">
+<div class="content">
+<img src="images/cantilever_total_strain.png" alt="cantilever total strain">
+</div>
+<div class="title">Figure 45. Deflection of loaded elastoplastic cantilever beam. Displacement amplified by 10. Coloration by xx component of total strain.</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_comparison_of_finite_element_and_analytic_results">7.7.6. Comparison of finite element and analytic results</h4>
+<div class="paragraph">
+<p>By generating and solving models for various loads in the plastic range, we can
+generate table <a href="#elastoplastic_cantilever_results">Elastoplastic cantilever results</a>. To do this, first we create
+a number of sequence of models</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>python create_cantilever_ep.py -10.0 cantilever_ep_100.n88model
 python create_cantilever_ep.py -10.5 cantilever_ep_105.n88model
 python create_cantilever_ep.py -11.0 cantilever_ep_110.n88model
 python create_cantilever_ep.py -11.5 cantilever_ep_115.n88model
@@ -12268,17 +9615,17 @@ <h4 id="_comparison_of_finite_element_and_analytic_results">7.7.6. Comparison of
 python create_cantilever_ep.py -14.0 cantilever_ep_140.n88model
 python create_cantilever_ep.py -14.5 cantilever_ep_145.n88model
 python create_cantilever_ep.py -15.0 cantilever_ep_150.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>You probably want to put all these commands in a script or batch file.</p>
-            </div>
-            <div class="paragraph">
-              <p>And then we solve them all</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>faim --convergence_tolerance=1E-9 cantilever_ep_100.n88model
+</div>
+</div>
+<div class="paragraph">
+<p>You probably want to put all these commands in a script or batch file.</p>
+</div>
+<div class="paragraph">
+<p>And then we solve them all</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>faim --convergence_tolerance=1E-9 cantilever_ep_100.n88model
 faim --convergence_tolerance=1E-9 cantilever_ep_105.n88model
 faim --convergence_tolerance=1E-9 cantilever_ep_110.n88model
 faim --convergence_tolerance=1E-9 cantilever_ep_115.n88model
@@ -12289,328 +9636,200 @@ <h4 id="_comparison_of_finite_element_and_analytic_results">7.7.6. Comparison of
 faim --convergence_tolerance=1E-9 cantilever_ep_140.n88model
 faim --convergence_tolerance=1E-9 cantilever_ep_145.n88model
 faim --convergence_tolerance=1E-9 cantilever_ep_150.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>As we can see from the number
-                of elements exceeding the plastic limit (the last column of the table), FAIM does
-                indeed show plastic onset at 10 N load. The data from table <a
-                  href="#elastoplastic_cantilever_results">Elastoplastic cantilever results</a>
-                are visualized in <a href="#cantilever_elastoplastic">Figure 40</a>. Agreement is very good until the
-                onset of
-                beam failure approaches. Then there begins to be a some divergence between
-                FAIM and the analytic results. Better agreement can be obtained with a
-                smaller element size, but fundamentally near the singularity of failure,
-                there are very rapid changes in plastic strain through the cross-section,
-                and these cannot be well modelled by numerical discretisation. However,
-                away from this singularity, numerical results are good.</p>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    <div class="paragraph">
-                      <p>When running several models at different parameter points, it can
-                        become tedious to open each analysis file and search out the relevant
-                        quantity. We can use the <a href="#n88tabulate">n88tabulate</a> tool to save
-                        some effort. In the present case, after we have solved all the models,
-                        the following command will generate the 4<sup>th</sup> column of the table
-                        (displacement as calculated by FAIM):</p>
-                    </div>
-                    <div class="listingblock">
-                      <div class="content">
-                        <pre>n88tabulate -V dz_avg_ns2 *_analysis.txt</pre>
-                      </div>
-                    </div>
-                    <div class="paragraph">
-                      <p>The variable name for the desired quantity (here <code>dz_avg_ns2</code>) can either be found
-                        in the
-                        <a href="#n88tabulate">n88tabulate</a> section of the manual, or by referring
-                        to the on-line help from running <a href="#n88tabulate">n88tabulate</a> with the
-                        <code>-h</code> flag.
-                      </p>
-                    </div>
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <table id="elastoplastic_cantilever_results" class="tableblock frame-all grid-all" style="width: 80%;">
-              <caption class="title">Table 4. Elastoplastic cantilever results</caption>
-              <colgroup>
-                <col style="width: 20%;">
-                <col style="width: 20%;">
-                <col style="width: 20%;">
-                <col style="width: 20%;">
-                <col style="width: 20%;">
-              </colgroup>
-              <tbody>
-                <tr>
-                  <th class="tableblock halign-right valign-top">
-                    <p class="tableblock">load</p>
-                  </th>
-                  <th class="tableblock halign-center valign-top" colspan="3">
-                    <p class="tableblock">tip displacement</p>
-                  </th>
-                  <th class="tableblock halign-right valign-top">
-                    <p class="tableblock">yielded</p>
-                  </th>
-                </tr>
-                <tr>
-                  <th class="tableblock halign-right valign-top"></th>
-                  <th class="tableblock halign-right valign-top">
-                    <p class="tableblock">linear</p>
-                  </th>
-                  <th class="tableblock halign-right valign-top">
-                    <p class="tableblock">analytic elastoplastic</p>
-                  </th>
-                  <th class="tableblock halign-right valign-top">
-                    <p class="tableblock">faim elastoplastic</p>
-                  </th>
-                  <th class="tableblock halign-right valign-top"></th>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>10.0</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.40</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4000</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4020</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>2</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>10.5</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.42</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4201</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4222</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>4</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>11.0</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.44</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4406</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4427</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>28</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>11.5</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.46</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4621</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4641</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>50</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>12.0</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.48</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4852</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4869</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>84</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>12.5</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.50</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.5107</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.5120</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>124</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>13.0</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.52</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.5397</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.5404</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>174</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>13.5</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.54</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.5745</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.5738</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>228</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>14.0</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.56</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.6188</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.6149</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>294</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>14.5</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.58</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.6835</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.6700</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>368</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>15.0</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.60</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.8889</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.7560</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>454</code></p>
-                  </td>
-                </tr>
-              </tbody>
-            </table>
-            <div id="cantilever_elastoplastic" class="imageblock">
-              <div class="content">
-                <img src="images/cantilever_elastoplastic.png" alt="cantilever elastoplastic">
-              </div>
-              <div class="title">Figure 40. Comparison of FAIM and analytic results for elastoplastic cantilever.</div>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    <div class="paragraph">
-                      <p>If you want, you can experiment with increasing the number of elements
-                        in the model (reducing the element size) to see how this affects the result.</p>
-                    </div>
-                  </td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_incremental_loading_and_hysteresis">7.7.7. Incremental loading and hysteresis</h4>
-            <div class="paragraph">
-              <p>Up to this point, we have solved a sequence of nonlinear models
-                at different loads without giving a lot of thought about how these
-                loads are applied. In fact we have solved each load point "from scratch".
-                From a theoretical point of view, it would be better to start from
-                the greatest load for which the model stays in the linear range,
-                and then incrementally add small amounts of load, obtaining a sequence
-                of slowly changing nonlinear solutions, each of which is used as the starting point
-                for the solver for the subsequent load. This is discussed in
-                <a href="#nonlinear_progressive_loads">Obtaining accurate nonlinear solutions by progressively applying
-                  loads</a>. The question is, does this actually
-                matter?
-                Here we will investigate this and discover that the answer is
-                "it depends".
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>The first thing we need is a script to take an existing
-                solved n88model file, and modify the applied force. You can find
-                this script, named <code>modify_force.py</code>, in the <code>cantilever</code>
-                subdirectory of the examples. Since you are getting by now pretty
-                good at scripts, here are all the preliminaries, up to
-                reading in an existing n88 model file:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>from __future__ import division
+</div>
+</div>
+<div class="paragraph">
+<p>As we can see from the number
+of elements exceeding the plastic limit (the last column of the table), FAIM does
+indeed show plastic onset at 10 N load. The data from table <a href="#elastoplastic_cantilever_results">Elastoplastic cantilever results</a>
+are visualized in <a href="#cantilever_elastoplastic">Figure 46</a>. Agreement is very good until the onset of
+beam failure approaches. Then there begins to be a some divergence between
+FAIM and the analytic results. Better agreement can be obtained with a
+smaller element size, but fundamentally near the singularity of failure,
+there are very rapid changes in plastic strain through the cross-section,
+and these cannot be well modelled by numerical discretisation. However,
+away from this singularity, numerical results are good.</p>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>When running several models at different parameter points, it can
+become tedious to open each analysis file and search out the relevant
+quantity. We can use the <a href="#n88tabulate">n88tabulate</a> tool to save
+some effort. In the present case, after we have solved all the models,
+the following command will generate the 4<sup>th</sup> column of the table
+(displacement as calculated by FAIM):</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88tabulate -V dz_avg_ns2 *_analysis.txt</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>The variable name for the desired quantity (here <code>dz_avg_ns2</code>) can either be found in the
+<a href="#n88tabulate">n88tabulate</a> section of the manual, or by referring
+to the on-line help from running <a href="#n88tabulate">n88tabulate</a> with the
+<code>-h</code> flag.</p>
+</div>
+</td>
+</tr>
+</table>
+</div>
+<table id="elastoplastic_cantilever_results" class="tableblock frame-all grid-all" style="width: 80%;">
+<caption class="title">Table 4. Elastoplastic cantilever results</caption>
+<colgroup>
+<col style="width: 20%;">
+<col style="width: 20%;">
+<col style="width: 20%;">
+<col style="width: 20%;">
+<col style="width: 20%;">
+</colgroup>
+<tbody>
+<tr>
+<th class="tableblock halign-right valign-top"><p class="tableblock">load</p></th>
+<th class="tableblock halign-center valign-top" colspan="3"><p class="tableblock">tip displacement</p></th>
+<th class="tableblock halign-right valign-top"><p class="tableblock">yielded</p></th>
+</tr>
+<tr>
+<th class="tableblock halign-right valign-top"></th>
+<th class="tableblock halign-right valign-top"><p class="tableblock">linear</p></th>
+<th class="tableblock halign-right valign-top"><p class="tableblock">analytic elastoplastic</p></th>
+<th class="tableblock halign-right valign-top"><p class="tableblock">faim elastoplastic</p></th>
+<th class="tableblock halign-right valign-top"></th>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>10.0</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.40</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4000</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4020</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>2</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>10.5</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.42</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4201</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4222</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>4</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>11.0</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.44</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4406</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4427</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>28</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>11.5</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.46</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4621</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4641</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>50</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>12.0</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.48</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4852</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4869</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>84</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>12.5</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.50</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.5107</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.5120</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>124</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>13.0</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.52</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.5397</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.5404</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>174</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>13.5</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.54</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.5745</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.5738</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>228</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>14.0</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.56</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.6188</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.6149</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>294</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>14.5</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.58</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.6835</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.6700</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>368</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>15.0</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.60</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.8889</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.7560</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>454</code></p></td>
+</tr>
+</tbody>
+</table>
+<div id="cantilever_elastoplastic" class="imageblock">
+<div class="content">
+<img src="images/cantilever_elastoplastic.png" alt="cantilever elastoplastic">
+</div>
+<div class="title">Figure 46. Comparison of FAIM and analytic results for elastoplastic cantilever.</div>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>If you want, you can experiment with increasing the number of elements
+in the model (reducing the element size) to see how this affects the result.</p>
+</div>
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_incremental_loading_and_hysteresis">7.7.7. Incremental loading and hysteresis</h4>
+<div class="paragraph">
+<p>Up to this point, we have solved a sequence of nonlinear models
+at different loads without giving a lot of thought about how these
+loads are applied. In fact we have solved each load point "from scratch".
+From a theoretical point of view, it would be better to start from
+the greatest load for which the model stays in the linear range,
+and then incrementally add small amounts of load, obtaining a sequence
+of slowly changing nonlinear solutions, each of which is used as the starting point
+for the solver for the subsequent load. This is discussed in
+<a href="#nonlinear_progressive_loads">Obtaining accurate nonlinear solutions by progressively applying loads</a>. The question is, does this actually
+matter?
+Here we will investigate this and discover that the answer is
+"it depends".</p>
+</div>
+<div class="paragraph">
+<p>The first thing we need is a script to take an existing
+solved n88model file, and modify the applied force. You can find
+this script, named <code>modify_force.py</code>, in the <code>cantilever</code>
+subdirectory of the examples. Since you are getting by now pretty
+good at scripts, here are all the preliminaries, up to
+reading in an existing n88 model file:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>from __future__ import division
 import argparse
 import vtk
 import vtkbone
@@ -12640,16 +9859,16 @@ <h4 id="_incremental_loading_and_hysteresis">7.7.7. Incremental loading and hyst
 reader.SetFileName (args.input_file)
 reader.Update()
 model = reader.GetOutput()</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Now, we could modify the numerical values of the force constraint,
-                but from a programming view, it is easier to just delete it
-                and re-create it.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># Delete the old applied force.
+</div>
+</div>
+<div class="paragraph">
+<p>Now, we could modify the numerical values of the force constraint,
+but from a programming view, it is easier to just delete it
+and re-create it.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># Delete the old applied force.
 
 model.GetConstraints().RemoveItem("end_force")
 
@@ -12661,16 +9880,16 @@ <h4 id="_incremental_loading_and_hysteresis">7.7.7. Incremental loading and hyst
 	vtkbone.vtkboneConstraint.SENSE_Z,
 	args.applied_force,
 	"end_force")</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>That&#8217;s the meat of it. Now we just finish up with the usual
-                entires to the history and the log, and write out the
-                modified file.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># Update history and log
+</div>
+</div>
+<div class="paragraph">
+<p>That&#8217;s the meat of it. Now we just finish up with the usual
+entires to the history and the log, and write out the
+modified file.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># Update history and log
 
 model.AppendHistory(f"Modified modify_force.py version {script_version} .")
 
@@ -12688,545 +9907,425 @@ <h4 id="_incremental_loading_and_hysteresis">7.7.7. Incremental loading and hyst
 writer.SetInputData(model)
 writer.SetFileName(args.output_file)
 writer.Update()</pre>
-              </div>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    <div class="paragraph">
-                      <p>Had we created the model with <a href="#n88modelgenerator">n88modelgenerator</a>,
-                        it would have been even easier to change the load in the model
-                        file: <a href="#n88modelgenerator">n88modelgenerator</a> can take as an input
-                        an existing model file, and it will preserve any existing solutions
-                        while modifying the material properties or constraints according
-                        to the command line arguments in the usual fashion.</p>
-                    </div>
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Now to run this, we first create and solve a nonlinear model as we
-                did above, with an applied
-                force that we know, from the previous analysis, is just at the
-                limit of linear behaviour.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>python create_cantilever_ep.py -10 cantilever_ep.n88model
+</div>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>Had we created the model with <a href="#n88modelgenerator">n88modelgenerator</a>,
+it would have been even easier to change the load in the model
+file: <a href="#n88modelgenerator">n88modelgenerator</a> can take as an input
+an existing model file, and it will preserve any existing solutions
+while modifying the material properties or constraints according
+to the command line arguments in the usual fashion.</p>
+</div>
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Now to run this, we first create and solve a nonlinear model as we
+did above, with an applied
+force that we know, from the previous analysis, is just at the
+limit of linear behaviour.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>python create_cantilever_ep.py -10 cantilever_ep.n88model
 faim --convergence_tolerance=1e-9 cantilever_ep.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>As previously, we can extract from the analysis file just the numerical
-                value for the deflection, like this</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88tabulate -V dz_avg_ns2 cantilever_ep_analysis.txt</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>which returns <code>-4.020E-01</code>.</p>
-            </div>
-            <div class="paragraph">
-              <p>Now we use our <code>modify_force.py</code> script to increase to applied
-                force to -10.5 .</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>python modify_force.py cantilever_ep.n88model -10.5 from_100_to_105.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>And we solve it and extract the new deflection.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>faim --convergence_tolerance=1E-9 from_100_to_105.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>What we want to see, is that faim starts with the following
-                two status lines:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>Model contains elastoplastic material definitions.
+</div>
+</div>
+<div class="paragraph">
+<p>As previously, we can extract from the analysis file just the numerical
+value for the deflection, like this</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88tabulate -V dz_avg_ns2 cantilever_ep_analysis.txt</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>which returns <code>-4.020E-01</code>.</p>
+</div>
+<div class="paragraph">
+<p>Now we use our <code>modify_force.py</code> script to increase to applied
+force to -10.5 .</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>python modify_force.py cantilever_ep.n88model -10.5 from_100_to_105.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>And we solve it and extract the new deflection.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>faim --convergence_tolerance=1E-9 from_100_to_105.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>What we want to see, is that faim starts with the following
+two status lines:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Model contains elastoplastic material definitions.
 Model contains existing solution.</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>And further on, once the solver <code>solver_sp</code> itself has been launched,
-                we want to verify that we see the following status output:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>Using existing solution as starting value.</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Then, rinse and repeat until the desired final load is reached:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>python modify_force.py from_100_to_105.n88model -11 from_105_to_110.n88model
+</div>
+</div>
+<div class="paragraph">
+<p>And further on, once the solver <code>solver_sp</code> itself has been launched,
+we want to verify that we see the following status output:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Using existing solution as starting value.</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>Then, rinse and repeat until the desired final load is reached:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>python modify_force.py from_100_to_105.n88model -11 from_105_to_110.n88model
 faim --convergence_tolerance=1E-9 from_105_to_110.n88model
 n88tabulate -V dz_avg_ns2 from_105_to_110_analysis.txt
 python modify_force.py from_105_to_110.n88model -11.5 from_110_to_115.n88model
 faim --convergence_tolerance=1E-9 from_110_to_115.n88model
 n88tabulate -V dz_avg_ns2 from_110_to_115_analysis.txt</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p><em>and so on</em> . . .</p>
-            </div>
-            <div class="paragraph">
-              <p>We can thus add another column to <a href="#elastoplastic_cantilever_results">Elastoplastic cantilever
-                  results</a>,
-                and compare the &#8220;all-at-once&#8221; nonlinear solutions with the
-                incremental solutions. <a href="#elastoplastic_cantilever_incr">Elastoplastic cantilever incremental
-                  results</a>
-                shows just these two columns. The results are practically
-                indistinguishable. So can we therefore conclude that carefully applying
-                an incremental load is pointless extra work? Not quite. We
-                are not at the end of the story yet. Let us take our solution
-                at a load of 14.5, and from there <em>decrement</em> the applied load back down
-                to the linear region. Programmatically, this looks much like before:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>python modify_force.py from_140_to_145.n88model -14 from_145_to_140.n88model
+</div>
+</div>
+<div class="paragraph">
+<p><em>and so on</em> . . .</p>
+</div>
+<div class="paragraph">
+<p>We can thus add another column to <a href="#elastoplastic_cantilever_results">Elastoplastic cantilever results</a>,
+and compare the &#8220;all-at-once&#8221; nonlinear solutions with the
+incremental solutions. <a href="#elastoplastic_cantilever_incr">Elastoplastic cantilever incremental results</a>
+shows just these two columns. The results are practically
+indistinguishable. So can we therefore conclude that carefully applying
+an incremental load is pointless extra work? Not quite. We
+are not at the end of the story yet. Let us take our solution
+at a load of 14.5, and from there <em>decrement</em> the applied load back down
+to the linear region. Programmatically, this looks much like before:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>python modify_force.py from_140_to_145.n88model -14 from_145_to_140.n88model
 faim --convergence_tolerance=1E-9 from_145_to_140.n88model
 python modify_force.py from_145_to_140.n88model -13.5 from_140_to_135.n88model
 faim --convergence_tolerance=1E-9 from_140_to_135.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p><em>and so on</em> . . .</p>
-            </div>
-            <div class="paragraph">
-              <p>We can tabulate all the deflections at once,</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88tabulate -V filename,dz_avg_ns2 *_analysis.txt</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>These additional load decreasing points are tabulated in
-                <a href="#elastoplastic_cantilever_decr">Elastoplastic cantilever results for decreasing loads</a>.
-                These are plotted
-                together with the increasing load points up to 14.5 in
-                <a href="#cantilever_hysteresis">Figure 41</a>. Now we see that that there is
-                in fact a difference. Indeed we recognize the classic hysteresis
-                curve. (Note that compared with <a href="#cantilever_elastoplastic">Figure 40</a>, we have swapped the
-                axes, just so that it looks more conventional.)
-              </p>
-            </div>
-            <table id="elastoplastic_cantilever_incr" class="tableblock frame-all grid-all" style="width: 80%;">
-              <caption class="title">Table 5. Elastoplastic cantilever incremental results</caption>
-              <colgroup>
-                <col style="width: 33.3333%;">
-                <col style="width: 33.3333%;">
-                <col style="width: 33.3334%;">
-              </colgroup>
-              <thead>
-                <tr>
-                  <th class="tableblock halign-right valign-top">load</th>
-                  <th class="tableblock halign-right valign-top">FAIM EP</th>
-                  <th class="tableblock halign-right valign-top">FAIM incr</th>
-                </tr>
-              </thead>
-              <tbody>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>10.0</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4020</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4020</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>10.5</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4222</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4222</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>11.0</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4427</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4427</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>11.5</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4641</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4641</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>12.0</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4869</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4870</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>12.5</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.5120</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.5120</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>13.0</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.5404</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.5405</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>13.5</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.5738</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.5738</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>14.0</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.6149</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.6150</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>14.5</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.6700</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.6700</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>15.0</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.7560</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.7560</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>15.5</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.9611</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.9611</code></p>
-                  </td>
-                </tr>
-              </tbody>
-            </table>
-            <table id="elastoplastic_cantilever_decr" class="tableblock frame-all grid-all" style="width: 80%;">
-              <caption class="title">Table 6. Elastoplastic cantilever results for decreasing loads</caption>
-              <colgroup>
-                <col style="width: 50%;">
-                <col style="width: 50%;">
-              </colgroup>
-              <thead>
-                <tr>
-                  <th class="tableblock halign-right valign-top">load</th>
-                  <th class="tableblock halign-right valign-top">FAIM decr</th>
-                </tr>
-              </thead>
-              <tbody>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>14.0</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.6499</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>13.5</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.6299</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>13.0</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.6098</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>12.5</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.5897</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>12.0</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.5696</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>11.5</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.5495</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>11.0</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.5294</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>10.5</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.5093</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>10.0</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.4892</code></p>
-                  </td>
-                </tr>
-                <tr>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.0</code></p>
-                  </td>
-                  <td class="tableblock halign-right valign-top">
-                    <p class="tableblock"><code>0.0874</code></p>
-                  </td>
-                </tr>
-              </tbody>
-            </table>
-            <div id="cantilever_hysteresis" class="imageblock">
-              <div class="content">
-                <img src="images/cantilever_hysteresis.png" alt="cantilever hysteresis">
-              </div>
-              <div class="title">Figure 41. Hysteresis exhibited by elastoplastic cantilever.</div>
-            </div>
-            <div class="paragraph">
-              <p>This concludes the tutorial on a cantilever with elastoplastic
-                material properties. We learned how to use elastoplastic materials
-                in <code>vtkbone</code> scripts, and also how to apply loads in incremental steps to
-                nonlinear models by modifying an existing <code>n88model</code> file. By
-                carefully applying incremental loading to the cantilever, we
-                determined that results were essentailly unaffected as compared with an
-                &#8220;all at once&#8221; solution for the initial deflection of the
-                beam, but that a residual deflection remains during the subsequent
-                unloading of the beam. This residual deflection, which is the hysteresis,
-                can only be observed by applying the load incrementally.</p>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="screw_pullout_tutorial">7.8. Advanced custom model: A screw pull-out test</h3>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <div class="paragraph">
-            <p>In the preceding tutorials we were introduced to using <code>vtkbone</code> to create
-              original models that cannot be generated using
-              <a href="#n88modelgenerator">n88modelgenerator</a> . We mentioned
-              that frequently the most challenging part of creating such
-              models is identifying the sets of nodes and/or elements
-              corresponding to the boundary conditions that
-              we desire. In that tutorial, however, we didn&#8217;t actually need to identify
-              any such sets ourselves, as we found that the standard node and element
-              sets as provided by <a
-                href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
-              were suitable for
-              our purposes. In this tutorial, by contrast, we will use
-              some sophisticated criteria for identifying the desired sets
-              for boundary conditions. This includes,
-            </p>
-          </div>
-          <div class="ulist">
-            <ul>
-              <li>
-                <p>Identifying and characterizing features in the input image. Namely, we will
-                  determine the geometric location of a screw axis.</p>
-              </li>
-              <li>
-                <p>Identifying nodes by spatial location (distance from the
-                  screw, as well as depth from the top surface).</p>
-              </li>
-              <li>
-                <p>We will further reduce the selection of nodes based on visibility
-                  from a certain viewing angle, which is a useful technique
-                  for locating nodes on an uneven surface.</p>
-              </li>
-            </ul>
-          </div>
-          <div class="paragraph">
-            <p>In the course of this example, we will generate the files <code>screwpullout.py</code>
-              and <code>screwpullout.conf</code>. You can find the completed versions of these files in
-              the <code>examples/screwpullout</code> directory of the distribution.</p>
-          </div>
-          <div class="sect3">
-            <h4 id="_the_model_a_screw_pull_out_test">7.8.1. The model: a screw pull-out test</h4>
-            <div class="paragraph">
-              <p>This example is a finite element model of an important mechanical test for
-                orthopaedic biomechanics. This tutorial is
-                based on the work of <a href="#stadelmann2012">Stadelmann et al (2012)</a>. Physical
-                tests were done in which a volume of bone substitute
-                was constrained with a ring and the screw was pulled out. Here we
-                construct a finite element model corresponding to this physical test.</p>
-            </div>
-            <div class="paragraph">
-              <p>The geometry of the model is in the file <code>sawbone.aim</code> in the <code>data</code>
-                directory of the distribution. It consists of a volume of bone substitute into which
-                a screw has been embedded. This is shown in <a href="#screw_model_image">Figure 42</a>.
-                The data have been segmented such that
-                bone substitute is labelled with ID 127 (shown in beige), and the screw with ID 90
-                (shown in blue). The mechanical test is to find the force
-                required to pull out the screw.</p>
-            </div>
-            <div id="screw_model_image" class="imageblock">
-              <div class="content">
-                <img src="images/screw_model_image_hr.png" alt="screw model image hr">
-              </div>
-              <div class="title">Figure 42. Screw model segmented image</div>
-            </div>
-            <div class="admonitionblock important">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/important.png" alt="Important">
-                  </td>
-                  <td class="content">
-                    The script will look for the data file <code>sawbone.aim</code> in
-                    whatever directory it is run from. On your distribution, the example
-                    script and the data file are in different directories, <code>examples/screwpullout</code>
-                    and <code>data</code> respectively. We recommend that you copy the files from both
-                    these directories to a temporary working directory for this tutorial.
-                  </td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_preliminaries_first_lines_of_python_2">7.8.2. Preliminaries: first lines of Python</h4>
-            <div class="paragraph">
-              <p>Using your favourite text editor, create a file <code>screwpullout.py</code>.</p>
-            </div>
-            <div class="paragraph">
-              <p>By now you should be pretty familiar with importing the necessary Python
-                modules:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>from __future__ import division
+</div>
+</div>
+<div class="paragraph">
+<p><em>and so on</em> . . .</p>
+</div>
+<div class="paragraph">
+<p>We can tabulate all the deflections at once,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88tabulate -V filename,dz_avg_ns2 *_analysis.txt</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>These additional load decreasing points are tabulated in
+<a href="#elastoplastic_cantilever_decr">Elastoplastic cantilever results for decreasing loads</a>. These are plotted
+together with the increasing load points up to 14.5 in
+<a href="#cantilever_hysteresis">Figure 47</a>. Now we see that that there is
+in fact a difference. Indeed we recognize the classic hysteresis
+curve. (Note that compared with <a href="#cantilever_elastoplastic">Figure 46</a>, we have swapped the
+axes, just so that it looks more conventional.)</p>
+</div>
+<table id="elastoplastic_cantilever_incr" class="tableblock frame-all grid-all" style="width: 80%;">
+<caption class="title">Table 5. Elastoplastic cantilever incremental results</caption>
+<colgroup>
+<col style="width: 33.3333%;">
+<col style="width: 33.3333%;">
+<col style="width: 33.3334%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-right valign-top">load</th>
+<th class="tableblock halign-right valign-top">FAIM EP</th>
+<th class="tableblock halign-right valign-top">FAIM incr</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>10.0</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4020</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4020</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>10.5</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4222</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4222</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>11.0</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4427</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4427</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>11.5</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4641</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4641</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>12.0</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4869</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4870</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>12.5</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.5120</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.5120</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>13.0</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.5404</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.5405</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>13.5</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.5738</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.5738</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>14.0</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.6149</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.6150</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>14.5</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.6700</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.6700</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>15.0</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.7560</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.7560</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>15.5</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.9611</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.9611</code></p></td>
+</tr>
+</tbody>
+</table>
+<table id="elastoplastic_cantilever_decr" class="tableblock frame-all grid-all" style="width: 80%;">
+<caption class="title">Table 6. Elastoplastic cantilever results for decreasing loads</caption>
+<colgroup>
+<col style="width: 50%;">
+<col style="width: 50%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-right valign-top">load</th>
+<th class="tableblock halign-right valign-top">FAIM decr</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>14.0</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.6499</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>13.5</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.6299</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>13.0</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.6098</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>12.5</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.5897</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>12.0</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.5696</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>11.5</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.5495</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>11.0</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.5294</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>10.5</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.5093</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>10.0</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.4892</code></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.0</code></p></td>
+<td class="tableblock halign-right valign-top"><p class="tableblock"><code>0.0874</code></p></td>
+</tr>
+</tbody>
+</table>
+<div id="cantilever_hysteresis" class="imageblock">
+<div class="content">
+<img src="images/cantilever_hysteresis.png" alt="cantilever hysteresis">
+</div>
+<div class="title">Figure 47. Hysteresis exhibited by elastoplastic cantilever.</div>
+</div>
+<div class="paragraph">
+<p>This concludes the tutorial on a cantilever with elastoplastic
+material properties. We learned how to use elastoplastic materials
+in <code>vtkbone</code> scripts, and also how to apply loads in incremental steps to
+nonlinear models by modifying an existing <code>n88model</code> file. By
+carefully applying incremental loading to the cantilever, we
+determined that results were essentailly unaffected as compared with an
+&#8220;all at once&#8221; solution for the initial deflection of the
+beam, but that a residual deflection remains during the subsequent
+unloading of the beam. This residual deflection, which is the hysteresis,
+can only be observed by applying the load incrementally.</p>
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="screw_pullout_tutorial">7.8. Advanced custom model: A screw pull-out test</h3>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>In the preceding tutorials we were introduced to using <code>vtkbone</code> to create
+original models that cannot be generated using
+<a href="#n88modelgenerator">n88modelgenerator</a> .  We mentioned
+that frequently the most challenging part of creating such
+models is identifying the sets of nodes and/or elements
+corresponding to the boundary conditions that
+we desire.  In that tutorial, however, we didn&#8217;t actually need to identify
+any such sets ourselves, as we found that the standard node and element
+sets as provided by <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a> were suitable for
+our purposes.  In this tutorial, by contrast, we will use
+some sophisticated criteria for identifying the desired sets
+for boundary conditions.  This includes,</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p>Identifying and characterizing features in the input image.  Namely, we will
+determine the geometric location of a screw axis.</p>
+</li>
+<li>
+<p>Identifying nodes by spatial location (distance from the
+screw, as well as depth from the top surface).</p>
+</li>
+<li>
+<p>We will further reduce the selection of nodes based on visibility
+from a certain viewing angle, which is a useful technique
+for locating nodes on an uneven surface.</p>
+</li>
+</ul>
+</div>
+<div class="paragraph">
+<p>In the course of this example, we will generate the files <code>screwpullout.py</code>
+and <code>screwpullout.conf</code>. You can find the completed versions of these files in
+the <code>examples/screwpullout</code> directory of the distribution.</p>
+</div>
+<div class="sect3">
+<h4 id="_the_model_a_screw_pull_out_test">7.8.1. The model: a screw pull-out test</h4>
+<div class="paragraph">
+<p>This example is a finite element model of an important mechanical test for
+orthopaedic biomechanics.  This tutorial is
+based on the work of <a href="#stadelmann2012">Stadelmann et al (2012)</a>.  Physical
+tests were done in which a volume of bone substitute
+was constrained with a ring and the screw was pulled out.  Here we
+construct a finite element model corresponding to this physical test.</p>
+</div>
+<div class="paragraph">
+<p>The geometry of the model is in the file <code>sawbone.aim</code> in the <code>data</code>
+directory of the distribution.  It consists of a volume of bone substitute into which
+a screw has been embedded.  This is shown in <a href="#screw_model_image">Figure 48</a>.
+The data have been segmented such that
+bone substitute is labelled with ID 127 (shown in beige), and the screw with ID 90
+(shown in blue).  The mechanical test is to find the force
+required to pull out the screw.</p>
+</div>
+<div id="screw_model_image" class="imageblock">
+<div class="content">
+<img src="images/screw_model_image_hr.png" alt="screw model image hr">
+</div>
+<div class="title">Figure 48. Screw model segmented image</div>
+</div>
+<div class="admonitionblock important">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/important.png" alt="Important">
+</td>
+<td class="content">
+The script will look for the data file <code>sawbone.aim</code> in
+whatever directory it is run from.  On your distribution, the example
+script and the data file are in different directories, <code>examples/screwpullout</code>
+and <code>data</code> respectively.  We recommend that you copy the files from both
+these directories to a temporary working directory for this tutorial.
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_preliminaries_first_lines_of_python_2">7.8.2. Preliminaries: first lines of Python</h4>
+<div class="paragraph">
+<p>Using your favourite text editor, create a file <code>screwpullout.py</code>.</p>
+</div>
+<div class="paragraph">
+<p>By now you should be pretty familiar with importing the necessary Python
+modules:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>from __future__ import division
 import os
 import sys
 import time
 import vtk
 import vtkbone</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>As before, we&#8217;ll also set a script version number:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>script_version = n <img src="./images/icons/callouts/1.png" alt="1"></pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>A version of this script has been used as a tutorial in previous versions
-                    of Faim. In Faim 10.0 we are on the n<sup>th</sup> iteration
-                    of this script.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Since generating a model from a large micro-CT scan can take a lot of time,
-                it is convenient to print status messages as the script proceeds, and to have
-                these messages time stamped, so that we can see what steps potentially should be
-                optimized (or where the script fails). The following function will take one or more strings and print
-                them
-                out one per line, with a time stamp on the first, and indenting the subsequent
-                lines.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>def message(msg, *additionalLines):
+</div>
+</div>
+<div class="paragraph">
+<p>As before, we&#8217;ll also set a script version number:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>script_version = n <img src="./images/icons/callouts/1.png" alt="1"></pre>
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>A version of this script has been used as a tutorial in previous versions
+of Faim. In Faim 9.1 we are on the n<sup>th</sup> iteration
+of this script.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Since generating a model from a large micro-CT scan can take a lot of time,
+it is convenient to print status messages as the script proceeds, and to have
+these messages time stamped, so that we can see what steps potentially should be
+optimized (or where the script fails). The following function will take one or more strings and print them
+out one per line, with a time stamp on the first, and indenting the subsequent
+lines.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>def message(msg, *additionalLines):
     """Print message with time stamp.
 
     The first argument is printed with a time stamp.
@@ -13237,23 +10336,22 @@ <h4 id="_preliminaries_first_lines_of_python_2">7.8.2. Preliminaries: first line
         print(" "*9 + line)
 
 start_time = time.time()</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_using_a_configuration_file_to_store_parameters">7.8.3. Using a configuration file to store
-              parameters</h4>
-            <div class="paragraph">
-              <p>This model is going to be quite complicated. To keep things orderly,
-                we will put all our parameters in a configuration file. The
-                configuration file is a record of exactly which parameters were used to
-                generate a particular model. We&#8217;re going to write the configuration file
-                itself in Python code, so that we don&#8217;t have to write a file parser to read
-                it. Here is what the configuration file (<code>screwpullout.conf</code>) looks like:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># -------------------------------------------------------------------------
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_using_a_configuration_file_to_store_parameters">7.8.3. Using a configuration file to store parameters</h4>
+<div class="paragraph">
+<p>This model is going to be quite complicated.  To keep things orderly,
+we will put all our parameters in a configuration file. The
+configuration file is a record of exactly which parameters were used to
+generate a particular model. We&#8217;re going to write the configuration file
+itself in Python code, so that we don&#8217;t have to write a file parser to read
+it. Here is what the configuration file (<code>screwpullout.conf</code>) looks like:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># -------------------------------------------------------------------------
 #  Configuration file screwpullout.conf
 #
 #  This configuration file is in the format of python source code.
@@ -13291,31 +10389,30 @@ <h4 id="_using_a_configuration_file_to_store_parameters">7.8.3. Using a configur
 # constrained ring.  The max is measured from the highest node of constrained
 # bone found.
 bone_constraint_max_depth = 1.5</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Now we add to our script the following:</p>
-            </div>
-            <div class="olist arabic">
-              <ol class="arabic">
-                <li>
-                  <p>A bit of code to get the configuration file name from the command line.</p>
-                </li>
-                <li>
-                  <p>A few lines to execute the configuration file as Python code.</p>
-                </li>
-                <li>
-                  <p>Some lines to print out all the values that we expected to read in. This is very good practice so
-                    when you run it, you can verify that everything is as you expect.</p>
-                </li>
-              </ol>
-            </div>
-            <div class="paragraph">
-              <p>All that looks like this:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>if len(sys.argv) != 2:
+</div>
+</div>
+<div class="paragraph">
+<p>Now we add to our script the following:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>A bit of code to get the configuration file name from the command line.</p>
+</li>
+<li>
+<p>A few lines to execute the configuration file as Python code.</p>
+</li>
+<li>
+<p>Some lines to print out all the values that we expected to read in. This is very good practice so when you run it, you can verify that everything is as you expect.</p>
+</li>
+</ol>
+</div>
+<div class="paragraph">
+<p>All that looks like this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>if len(sys.argv) != 2:
   print("Usage: python screwpullout.py example.conf")
   sys.exit(1)
 config_file = sys.argv[1]
@@ -13342,43 +10439,41 @@ <h4 id="_using_a_configuration_file_to_store_parameters">7.8.3. Using a configur
 settings_text.append( "inner ring radius              = %s" % inner_ring_radius)
 settings_text.append( "bone constraint max depth      = %s" % bone_constraint_max_depth)
 message(*settings_text) <img src="./images/icons/callouts/1.png" alt="1"></pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>This is slightly advanced python, where the asterisk means that
-                    we pass the list of <em>N</em> items (strings in this case) not as a single list
-                    argument, but as <em>N</em> individual arguments. It just happens that given
-                    the way we wrote our <code>message</code> function, this is the best thing to do
-                    here.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Now when we run our script, we also have to specify the name of the
-                configuration file:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ python screwpullout.py screwpullout.conf</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_reading_the_segmented_image_file">7.8.4. Reading the segmented image file</h4>
-            <div class="paragraph">
-              <p>We will use a <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneAIMReader.html">vtkboneAIMReader</a>
-                to read the data file, which is
-                in the Scanco AIM file format. This file contains a segmented image.
-                As well, we want to add some additional
-                lines to report our progress, and print some values as a sanity check.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>message("Reading input data.")
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>This is slightly advanced python, where the asterisk means that
+we pass the list of <em>N</em> items (strings in this case) not as a single list
+argument, but as <em>N</em> individual arguments.  It just happens that given
+the way we wrote our <code>message</code> function, this is the best thing to do
+here.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Now when we run our script, we also have to specify the name of the
+configuration file:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ python screwpullout.py screwpullout.conf</pre>
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_reading_the_segmented_image_file">7.8.4. Reading the segmented image file</h4>
+<div class="paragraph">
+<p>We will use a <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneAIMReader.html">vtkboneAIMReader</a> to read the data file, which is
+in the Scanco AIM file format.  This file contains a segmented image.
+As well, we want to add some additional
+lines to report our progress, and print some values as a sanity check.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>message("Reading input data.")
 reader = vtkbone.vtkboneAIMReader()
 reader.SetFileName(input_image_file)
 reader.DataOnCellsOn() <img src="./images/icons/callouts/1.png" alt="1">
@@ -13387,30 +10482,29 @@ <h4 id="_reading_the_segmented_image_file">7.8.4. Reading the segmented image fi
 message("Read %d points from image file." % image.GetNumberOfPoints())
 image_bounds = image.GetBounds() <img src="./images/icons/callouts/2.png" alt="2">
 message("Image bounds:", (" %.4f"*6) % image_bounds)</pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>As discussed in several previous tutorials, we can either have the image
-                    data on the Cells or the Points. <code>vtkbone</code> is
-                    generally agnostic on this point, but it is good to be clear.</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/2.png" alt="2"></td>
-                  <td>This is a standard VTK method for many types of VTK objects, returning an
-                    array of six values: x<sub>min</sub>, x<sub>max</sub>, y<sub>min</sub>, y<sub>max</sub>,
-                    z<sub>min</sub>, z<sub>max</sub>.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>The output so far, when we run the Python script, will look something like this:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ python screwpullout.py screwpullout.conf
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>As discussed in several previous tutorials, we can either have the image
+data on the Cells or the Points.  <code>vtkbone</code> is
+generally agnostic on this point, but it is good to be clear.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/2.png" alt="2"></td>
+<td>This is a standard VTK method for many types of VTK objects, returning an
+array of six values: x<sub>min</sub>, x<sub>max</sub>, y<sub>min</sub>, y<sub>max</sub>, z<sub>min</sub>, z<sub>max</sub>.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>The output so far, when we run the Python script, will look something like this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ python screwpullout.py screwpullout.conf
     0.00 Reading configuration file screwpullout.conf
     0.00 Configuration:
          input file                     = sawbone.aim
@@ -13428,45 +10522,39 @@ <h4 id="_reading_the_segmented_image_file">7.8.4. Reading the segmented image fi
     0.07 Read 5775920 points from AIM file.
     0.07 Image bounds:
           11.9700 27.4740 11.7420 27.1320 0.1140 35.3400</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_converting_the_image_data_to_elements">7.8.5. Converting the image data to elements</h4>
-            <div class="paragraph">
-              <p>As in the tutorial <a href="#cube_with_vtkbone_tutorial">Compressing a cube revisited using
-                  <code>vtkbone</code></a>,
-                we need to convert
-                the input CT image data to a <a
-                  href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a>
-                object representing the
-                geometry. Again, we will use a <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneImageToMesh.html">vtkboneImageToMesh</a>
-                filter for this purpose.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>message("Converting to hexahedral cells.")
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_converting_the_image_data_to_elements">7.8.5. Converting the image data to elements</h4>
+<div class="paragraph">
+<p>As in the tutorial <a href="#cube_with_vtkbone_tutorial">Compressing a cube revisited using <code>vtkbone</code></a>,
+we need to convert
+the input CT image data to a <a href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a> object representing the
+geometry. Again, we will use a <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneImageToMesh.html">vtkboneImageToMesh</a> filter for this purpose.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>message("Converting to hexahedral cells.")
 mesher = vtkbone.vtkboneImageToMesh()
 mesher.SetInputData(image)
 mesher.Update()
 mesh = mesher.GetOutput()
 message("Generated %d hexahedrons" % mesh.GetNumberOfCells())</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_defining_material_properties">7.8.6. Defining material properties</h4>
-            <div class="paragraph">
-              <p>Once again, we repeat the steps of the tutorial
-                <a href="#cube_with_vtkbone_tutorial">Compressing a cube revisited using <code>vtkbone</code></a>,
-                and we generate a material table and two materials: bone and
-                screw.
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>message ("Creating material table.")
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_defining_material_properties">7.8.6. Defining material properties</h4>
+<div class="paragraph">
+<p>Once again, we repeat the steps of the tutorial
+<a href="#cube_with_vtkbone_tutorial">Compressing a cube revisited using <code>vtkbone</code></a>,
+and we generate a material table and two materials: bone and
+screw.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>message ("Creating material table.")
 material_table = vtkbone.vtkboneMaterialTable()
 
 # Create an isotropic material for bone and add it to the table.
@@ -13482,59 +10570,44 @@ <h4 id="_defining_material_properties">7.8.6. Defining material properties</h4>
 screw_material.SetYoungsModulus(screw_material_modulus)
 screw_material.SetPoissonsRatio(screw_material_poissons_ratio)
 material_table.AddMaterial(screw_material_id, screw_material)</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_creating_a_vtkbonefiniteelementmodel_object">7.8.7. Creating a vtkboneFiniteElementModel object
-            </h4>
-            <div class="paragraph">
-              <p>In the tutorial,
-                <a href="#cantilever_tutorial">Deflection of a cantilevered beam; adding custom boundary conditions and
-                  loads</a>,
-                we used <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
-                to combine the geometry with
-                the model table into a <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-                object.
-                <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
-                didn&#8217;t create any displacement boundary conditions
-                or applied loads for us, but it did define some standard sets that we
-                subsequently used to define our displacement boundary conditions and applied load.
-                This time, those standard sets won&#8217;t we very useful for us. So instead
-                of <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a>
-                , we&#8217;ll use an even more elementary
-                model-creating filter called <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModelGenerator.html">vtkboneFiniteElementModelGenerator</a>
-                ,
-                which creates a <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-                object without any
-                pre-defined sets.
-              </p>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    Actually, it is not quite true that we couldn&#8217;t use need any standard
-                    sets. The standard set &#8220;face_z1&#8221; would be
-                    the top surface of the screw, which is one of the sets that we need.
-                    However, for the purposes of demonstration, we&#8217;ll show how to find
-                    that node set manually.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>message("Constructing a finite element model object.")
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_creating_a_vtkbonefiniteelementmodel_object">7.8.7. Creating a vtkboneFiniteElementModel object</h4>
+<div class="paragraph">
+<p>In the tutorial,
+<a href="#cantilever_tutorial">Deflection of a cantilevered beam; adding custom boundary conditions and loads</a>,
+we used <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a> to combine the geometry with
+the model table into a <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a> object.
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a> didn&#8217;t create any displacement boundary conditions
+or applied loads for us, but it did define some standard sets that we
+subsequently used to define our displacement boundary conditions and applied load.
+This time, those standard sets won&#8217;t we very useful for us.  So instead
+of <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneApplyTestBase.html">vtkboneApplyTestBase</a> , we&#8217;ll use an even more elementary
+model-creating filter called <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModelGenerator.html">vtkboneFiniteElementModelGenerator</a> ,
+which creates a <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a> object without any
+pre-defined sets.</p>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+Actually, it is not quite true that we couldn&#8217;t use need any standard
+sets.  The standard set &#8220;face_z1&#8221; would be
+the top surface of the screw, which is one of the sets that we need.
+However, for the purposes of demonstration, we&#8217;ll show how to find
+that node set manually.
+</td>
+</tr>
+</table>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>message("Constructing a finite element model object.")
 generator = vtkbone.vtkboneFiniteElementModelGenerator()
 generator.SetInputData(0, mesh)
 generator.SetInputData(1, material_table)
@@ -13543,68 +10616,61 @@ <h4 id="_creating_a_vtkbonefiniteelementmodel_object">7.8.7. Creating a vtkboneF
 model.ComputeBounds() <img src="./images/icons/callouts/1.png" alt="1">
 bounds = model.GetBounds()
 message("Model bounds:", (" %.4f"*6) % bounds)</pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>Unlike <a href="http://www.vtk.org/doc/release/6.3/html/classvtkImageData.html">vtkImageData</a>
-                    objects, <a
-                      href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a>
-                    objects,
-                    from which <a
-                      href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-                    objects are derived, don&#8217;t
-                    know their bounds unless you explicitly request them to be computed.</td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_writing_an_n88model_file_2">7.8.8. Writing an n88model file</h4>
-            <div class="paragraph">
-              <p>Now that we have a <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-                object, we can save it.
-                Of course, the model isn&#8217;t finished yet, but just as in the previous tutorial,
-                we can still save it and examine it as we go.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>message("Writing file %s" % n88model_file)
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>Unlike <a href="http://www.vtk.org/doc/release/6.3/html/classvtkImageData.html">vtkImageData</a> objects, <a href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a> objects,
+from which <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a> objects are derived, don&#8217;t
+know their bounds unless you explicitly request them to be computed.</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_writing_an_n88model_file_2">7.8.8. Writing an n88model file</h4>
+<div class="paragraph">
+<p>Now that we have a <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a> object, we can save it.
+Of course, the model isn&#8217;t finished yet, but just as in the previous tutorial,
+we can still save it and examine it as we go.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>message("Writing file %s" % n88model_file)
 writer = vtkbone.vtkboneN88ModelWriter()
 writer.SetInputData(model)
 writer.SetFileName(n88model_file)
 writer.Update()</pre>
-              </div>
-            </div>
-            <div class="admonitionblock important">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/important.png" alt="Important">
-                  </td>
-                  <td class="content">
-                    Once again, in everything that follows it is intended that you add
-                    new lines to the script <strong>before</strong> the code (show just above) that saves
-                    the model to a file. Otherwise of course the saved <code>n88model</code> file won&#8217;t
-                    reflect our additions and changes.
-                  </td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_adding_history_and_log_fields">7.8.9. Adding history and log fields</h4>
-            <div class="paragraph">
-              <p>By now you&#8217;ll be familiar with adding History and Log fields to help us
-                later trace back the details of the creation of this model. Let&#8217;s add
-                all this information (before the code to save the file!):</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>model.AppendHistory("Created by screwpullout.py version %s ." % script_version)
+</div>
+</div>
+<div class="admonitionblock important">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/important.png" alt="Important">
+</td>
+<td class="content">
+Once again, in everything that follows it is intended that you add
+new lines to the script <strong>before</strong> the code (show just above) that saves
+the model to a file.  Otherwise of course the saved <code>n88model</code> file won&#8217;t
+reflect our additions and changes.
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_adding_history_and_log_fields">7.8.9. Adding history and log fields</h4>
+<div class="paragraph">
+<p>By now you&#8217;ll be familiar with adding History and Log fields to help us
+later trace back the details of the creation of this model.  Let&#8217;s add
+all this information (before the code to save the file!):</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>model.AppendHistory("Created by screwpullout.py version %s ." % script_version)
 
 model.AppendLog(
 """screwpullout.py
@@ -13613,35 +10679,35 @@ <h4 id="_adding_history_and_log_fields">7.8.9. Adding history and log fields</h4
 Configuration file : %s
 """ % (vtkbone.vtkboneVersion.GetVTKBONEVersion(), config_file)
 + "\n".join(settings_text)) <img src="./images/icons/callouts/1.png" alt="1"></pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>This looks a little bit complicated. <code>"\n".join(settings_text))</code>
-                    converts the Python list of strings to a single long string,
-                    inserting a line return ("\n") between each list item. We then just
-                    add it to the other string.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Now run the script. As a reminder, this is done with</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ python screwpullout.py screwpullout.conf</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>As shown in previous tutorials,
-                we can retrieve the History and Log fields from the <code>n88model</code> file
-                at any time with <a href="#n88modelinfo">n88modelinfo</a>:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ n88modelinfo --history --log sawbone.n88model
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>This looks a little bit complicated.  <code>"\n".join(settings_text))</code>
+converts the Python list of strings to a single long string,
+inserting a line return ("\n") between each list item.  We then just
+add it to the other string.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Now run the script.  As a reminder, this is done with</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ python screwpullout.py screwpullout.conf</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>As shown in previous tutorials,
+we can retrieve the History and Log fields from the <code>n88model</code> file
+at any time with <a href="#n88modelinfo">n88modelinfo</a>:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88modelinfo --history --log sawbone.n88model
 History:
 ----------------------------------------------------------------------
 2016-Sep-27 16:12:21 Created by screwpullout.py version 8 .
@@ -13667,25 +10733,23 @@ <h4 id="_adding_history_and_log_fields">7.8.9. Adding history and log fields</h4
 inner ring radius              = 4.5
 bone constraint max depth      = 1.5
 ----------------------------------------------------------------------</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_determining_the_screw_orientation">7.8.10. Determining the screw orientation</h4>
-            <div class="paragraph">
-              <p>In order to properly apply the desired constraints, we will need to know where
-                the screw is. We can do this algorithmically, by calculating the principal
-                axes of inertia of the screw using <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneTensorOfInertia.html">vtkboneTensorOfInertia</a>
-                . We are going to assume
-                that the principal axis closest to the <em>z</em> axis is the screw axis. This won&#8217;t be
-                exactly true. Consider for example if the screw is cut off unevenly, then the
-                principal axis of inertia won&#8217;t be exactly the same as the screw axis, but for
-                our purposes, it is good enough.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>message("Determining screw geometry.")
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_determining_the_screw_orientation">7.8.10. Determining the screw orientation</h4>
+<div class="paragraph">
+<p>In order to properly apply the desired constraints, we will need to know where
+the screw is. We can do this algorithmically, by calculating the principal
+axes of inertia of the screw using <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneTensorOfInertia.html">vtkboneTensorOfInertia</a> . We are going to assume
+that the principal axis closest to the <em>z</em> axis is the screw axis. This won&#8217;t be
+exactly true. Consider for example if the screw is cut off unevenly, then the
+principal axis of inertia won&#8217;t be exactly the same as the screw axis, but for
+our purposes, it is good enough.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>message("Determining screw geometry.")
 
 moi = vtkbone.vtkboneTensorOfInertia()
 moi.SetInputData(image)
@@ -13706,63 +10770,60 @@ <h4 id="_determining_the_screw_orientation">7.8.10. Determining the screw orient
     bounds[5]) <img src="./images/icons/callouts/2.png" alt="2">
 message("Distance from screw center of mass to top boundary: %.3f" % screwDistanceToBoundary)
 message("Screw center at top boundary: %.3f, %.3f, %.3f" % screwCenterAtBoundary)</pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>This is how we limit the inertia tensor to be calculated only
-                    over the screw elements.</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/2.png" alt="2"></td>
-                  <td>This is a simple geometric calculation: given the center of mass
-                    of the screw and the direction of the screw axis, find the
-                    intersection with the upper bound of the model.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Now we run it, and this part of the script generates output like this:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>    1.55 Determining screw geometry.
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>This is how we limit the inertia tensor to be calculated only
+over the screw elements.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/2.png" alt="2"></td>
+<td>This is a simple geometric calculation: given the center of mass
+of the screw and the direction of the screw axis, find the
+intersection with the upper bound of the model.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Now we run it, and this part of the script generates output like this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>    1.55 Determining screw geometry.
     1.67 Number of cells belonging to screw: 449618
     1.67 Volume of screw: 666.13
     1.67 Center of mass of screw: 20.20622, 19.02016, 18.21310
     1.67 Axis of screw: -0.00733, -0.00243, 0.99997
     1.67 Distance from screw center of mass to boundary: 16.785
     1.67 Screw center at boundary: 20.083, 18.979, 34.998</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Comparing by eye with the rendering in ParaView, we can determine that these
-                values are about right, so we give ourselves a gold star in advanced math
-                and carry on.</p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_adding_a_boundary_condition_applying_a_displacement_to_the_screw_end">7.8.11. Adding a boundary
-              condition: applying a displacement to the screw end</h4>
-            <div class="paragraph">
-              <p>
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>We want to add a boundary condition to the screw where it intersects the
-                boundary of the model. All these nodes lie on a plane, so they are easily
-                found with the function <code>AddNodesOnPlane</code> provided in <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneNodeSetsByGeometry.html">vtkboneNodeSetsByGeometry</a>
-                .
-                Note that these nodes get associated with the FE model object, and we have
-                to assign a name, in this case &#8220;screw_top&#8221;, so that we can refer later
-                to this set.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>message("Adding the screw_top boundary condition.")
+</div>
+</div>
+<div class="paragraph">
+<p>Comparing by eye with the rendering in ParaView, we can determine that these
+values are about right, so we give ourselves a gold star in advanced math
+and carry on.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_adding_a_boundary_condition_applying_a_displacement_to_the_screw_end">7.8.11. Adding a boundary condition: applying a displacement to the screw end</h4>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>We want to add a boundary condition to the screw where it intersects the
+boundary of the model.  All these nodes lie on a plane, so they are easily
+found with the function <code>AddNodesOnPlane</code> provided in <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneNodeSetsByGeometry.html">vtkboneNodeSetsByGeometry</a> .
+Note that these nodes get associated with the FE model object, and we have
+to assign a name, in this case &#8220;screw_top&#8221;, so that we can refer later
+to this set.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>message("Adding the screw_top boundary condition.")
 
 vtkbone.vtkboneNodeSetsByGeometry.AddNodesOnPlane(
     2, <img src="./images/icons/callouts/1.png" alt="1">
@@ -13772,204 +10833,191 @@ <h4 id="_adding_a_boundary_condition_applying_a_displacement_to_the_screw_end">7
     screw_material_id) <img src="./images/icons/callouts/4.png" alt="4">
 message("Found %d nodes belonging to screw_top" %
      model.GetNodeSet("screw_top").GetNumberOfTuples())</pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>The value 2 specified the z-axis (VTK and python being zero-indexed).</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/2.png" alt="2"></td>
-                  <td>This is <em>z<sub>max</sub></em>.</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/3.png" alt="3"></td>
-                  <td>The name of the node set we are creating.</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/4.png" alt="4"></td>
-                  <td>This argument is optional, and specifies that we only want nodes
-                    associated with material ID &#8220;screw_material_id&#8221;. This is not
-                    actually necessary for the given data, since no elements of other
-                    material IDs intersect the <em>z<sub>max</sub></em> surface.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>We want to be able to inspect this result, and ensure that we have in fact
-                selected the nodes on the top of the screw. To do this, run the script to
-                update the model file. Now, as in the tutorial
-                <a href="#radius_bending_tutorial">Bending test of a radius bone with an uneven surface</a>,
-                we are going to use the tool
-                <a href="#n88extractsets">n88extractsets</a> to extract and visualize the node set.
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ n88extractsets sawbone.n88model
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>The value 2 specified the z-axis (VTK and python being zero-indexed).</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/2.png" alt="2"></td>
+<td>This is <em>z<sub>max</sub></em>.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/3.png" alt="3"></td>
+<td>The name of the node set we are creating.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/4.png" alt="4"></td>
+<td>This argument is optional, and specifies that we only want nodes
+associated with material ID &#8220;screw_material_id&#8221;.  This is not
+actually necessary for the given data, since no elements of other
+material IDs intersect the <em>z<sub>max</sub></em> surface.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>We want to be able to inspect this result, and ensure that we have in fact
+selected the nodes on the top of the screw.  To do this, run the script to
+update the model file.  Now, as in the tutorial
+<a href="#radius_bending_tutorial">Bending test of a radius bone with an uneven surface</a>,
+we are going to use the tool
+<a href="#n88extractsets">n88extractsets</a> to extract and visualize the node set.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88extractsets sawbone.n88model
 Reading N88 Model file : sawbone.n88model
 Writing node set : sawbone_node_set_screw_top.vtp</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>The file <code>sawbone_node_set_screw_top.vtp</code> can be opened an visualized with ParaView.
-                The nodes are shown in <a href="#screw_top_nodes">Figure 43</a>, exactly on the end of the screw.
-                This is what we want.</p>
-            </div>
-            <div id="screw_top_nodes" class="imageblock">
-              <div class="content">
-                <img src="images/screw_top_nodes_hr.png" alt="screw top nodes hr">
-              </div>
-              <div class="title">Figure 43. Screw top nodes, shown as white dots on the surface of the screw</div>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    <div class="paragraph">
-                      <p>An alternative to using <a href="#n88extractsets">n88extractsets</a> is to add lines
-                        to extract and save the node set directly to the script. We no
-                        longer recommend this, as it makes the script longer, more complex, and
-                        slower to run. However, for the record, this is how it would be done,</p>
-                    </div>
-                    <div class="listingblock">
-                      <div class="content">
-                        <pre>writer = vtk.vtkXMLUnstructuredGridWriter()
+</div>
+</div>
+<div class="paragraph">
+<p>The file <code>sawbone_node_set_screw_top.vtp</code> can be opened an visualized with ParaView.
+The nodes are shown in <a href="#screw_top_nodes">Figure 49</a>, exactly on the end of the screw.
+This is what we want.</p>
+</div>
+<div id="screw_top_nodes" class="imageblock">
+<div class="content">
+<img src="images/screw_top_nodes_hr.png" alt="screw top nodes hr">
+</div>
+<div class="title">Figure 49. Screw top nodes, shown as white dots on the surface of the screw</div>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>An alternative to using <a href="#n88extractsets">n88extractsets</a> is to add lines
+to extract and save the node set directly to the script.  We no
+longer recommend this, as it makes the script longer, more complex, and
+slower to run.  However, for the record, this is how it would be done,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>writer = vtk.vtkXMLUnstructuredGridWriter()
 writer.SetInputData(model.DataSetFromNodeSet("screw_top"))
 writer.SetFileName("screw_top_nodes.vtu")
 writer.Update()</pre>
-                      </div>
-                    </div>
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Having verified that we have found the set of nodes that we want, we can use
-                the method <code>ApplyBoundaryCondition</code> of the <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-                object to create a boundary condition. Note that we also give this the
-                name &#8220;screw_top_displacement&#8221;.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>model.ApplyBoundaryCondition(
+</div>
+</div>
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Having verified that we have found the set of nodes that we want, we can use
+the method <code>ApplyBoundaryCondition</code> of the <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
+object to create a boundary condition. Note that we also give this the
+name &#8220;screw_top_displacement&#8221;.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>model.ApplyBoundaryCondition(
     "screw_top", <img src="./images/icons/callouts/1.png" alt="1">
     2, <img src="./images/icons/callouts/2.png" alt="2">
     screw_displacement, <img src="./images/icons/callouts/3.png" alt="3">
     "screw_top_displacement")</pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>The name of the set to which is applied the boundary condition.</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/2.png" alt="2"></td>
-                  <td>Once again the value 2 means the <em>z</em> direction</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/3.png" alt="3"></td>
-                  <td>This variable is the numerical value of the displacement.</td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_fixing_the_nodes_in_a_ring_on_the_bone_surface">7.8.12. Fixing the nodes in a ring on the bone
-              surface</h4>
-            <div class="paragraph">
-              <p>
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>This boundary condition is much more difficult, because we want to find nodes lying
-                approximately in a ring on a rough surface. The approach we will take is to
-                successively whittle down candidate nodes by applying a sequence of criteria,
-                until we have finally just the nodes we want. These are the criteria:</p>
-            </div>
-            <div class="olist arabic">
-              <ol class="arabic">
-                <li>
-                  <p>Elements (cells) lie between a specified inner radius and outer radius, as
-                    measured from the screw axis.</p>
-                </li>
-                <li>
-                  <p>Nodes lie within a maximum specified depth from the highest node satisfying
-                    the first criterion.</p>
-                </li>
-                <li>
-                  <p>Nodes are visible from above.</p>
-                </li>
-              </ol>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    These selection criterion could in principle be applied in a different order.
-                    The reason for doing the selection by visibility last, is that it is
-                    computationally expensive, so we want to whittle down the candidate
-                    nodes/elements as much as possible before applying a visibility test.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div id="selecting_cells_within_a_cylinder" class="paragraph">
-              <div class="title">Step 1: Selecting cells within a hollow cylinder</div>
-              <p>VTK uses the concept of implicit functions which can be used to select points and cells
-                within or without a certain geometry. Here we are going to use two
-                <a href="http://www.vtk.org/doc/release/6.3/html/classvtkCylinder.html">vtkCylinder</a> objects, and
-                combine them with a difference operation with a
-                <a href="http://www.vtk.org/doc/release/6.3/html/classvtkImplicitBoolean.html">vtkImplicitBoolean</a> .
-                This will result in a hollow cylinder. VTK has a filter
-                object, <a
-                  href="http://www.vtk.org/doc/release/6.3/html/classvtkExtractGeometry.html">vtkExtractGeometry</a> ,
-                that will select points and cells based on a
-                specified implicit function.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>One complication is that set of Points in the output of <a
-                  href="http://www.vtk.org/doc/release/6.3/html/classvtkExtractGeometry.html">vtkExtractGeometry</a> are
-                different than the
-                original Points, and so the Point IDs will be different. However, we need to know the
-                original Point IDs in order to be able to apply boundary conditions to the FE model.
-                The solution to this is to use a concept in VTK called &#8220;Pedigree ID&#8221;. These
-                can be accessed with the method <code>GetPedigreeIds</code> from the PointData.</p>
-            </div>
-            <div class="admonitionblock note">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/note.png" alt="Note">
-                  </td>
-                  <td class="content">
-                    Not every VTK data set will have Pedigree IDs. They must be
-                    added to the data set before we start chopping out subsets.
-                    However, by default
-                    <a
-                      href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModelGenerator.html">vtkboneFiniteElementModelGenerator</a>
-                    creates <a
-                      href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-                    objects with Pedigree IDs.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>message("Adding the fixed_bone_surface boundary condition.")
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>The name of the set to which is applied the boundary condition.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/2.png" alt="2"></td>
+<td>Once again the value 2 means the <em>z</em> direction</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/3.png" alt="3"></td>
+<td>This variable is the numerical value of the displacement.</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_fixing_the_nodes_in_a_ring_on_the_bone_surface">7.8.12. Fixing the nodes in a ring on the bone surface</h4>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>This boundary condition is much more difficult, because we want to find nodes lying
+approximately in a ring on a rough surface. The approach we will take is to
+successively whittle down candidate nodes by applying a sequence of criteria,
+until we have finally just the nodes we want. These are the criteria:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>Elements (cells) lie between a specified inner radius and outer radius, as
+measured from the screw axis.</p>
+</li>
+<li>
+<p>Nodes lie within a maximum specified depth from the highest node satisfying
+the first criterion.</p>
+</li>
+<li>
+<p>Nodes are visible from above.</p>
+</li>
+</ol>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+These selection criterion could in principle be applied in a different order.
+The reason for doing the selection by visibility last, is that it is
+computationally expensive, so we want to whittle down the candidate
+nodes/elements as much as possible before applying a visibility test.
+</td>
+</tr>
+</table>
+</div>
+<div id="selecting_cells_within_a_cylinder" class="paragraph">
+<div class="title">Step 1: Selecting cells within a hollow cylinder</div>
+<p>VTK uses the concept of implicit functions which can be used to select points and cells
+within or without a certain geometry. Here we are going to use two
+<a href="http://www.vtk.org/doc/release/6.3/html/classvtkCylinder.html">vtkCylinder</a> objects, and combine them with a difference operation with a
+<a href="http://www.vtk.org/doc/release/6.3/html/classvtkImplicitBoolean.html">vtkImplicitBoolean</a> . This will result in a hollow cylinder. VTK has a filter
+object, <a href="http://www.vtk.org/doc/release/6.3/html/classvtkExtractGeometry.html">vtkExtractGeometry</a> , that will select points and cells based on a
+specified implicit function.</p>
+</div>
+<div class="paragraph">
+<p>One complication is that set of Points in the output of <a href="http://www.vtk.org/doc/release/6.3/html/classvtkExtractGeometry.html">vtkExtractGeometry</a> are
+different than the
+original Points, and so the Point IDs will be different. However, we need to know the
+original Point IDs in order to be able to apply boundary conditions to the FE model.
+The solution to this is to use a concept in VTK called &#8220;Pedigree ID&#8221;. These
+can be accessed with the method <code>GetPedigreeIds</code> from the PointData.</p>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+Not every VTK data set will have Pedigree IDs. They must be
+added to the data set before we start chopping out subsets.
+However, by default
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModelGenerator.html">vtkboneFiniteElementModelGenerator</a> creates <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a> objects with Pedigree IDs.
+</td>
+</tr>
+</table>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>message("Adding the fixed_bone_surface boundary condition.")
 
 inner_cylinder = vtk.vtkCylinder() <img src="./images/icons/callouts/1.png" alt="1">
 inner_cylinder.SetRadius(inner_ring_radius)
@@ -13995,115 +11043,104 @@ <h4 id="_fixing_the_nodes_in_a_ring_on_the_bone_surface">7.8.12. Fixing the node
 geometry_in_ring = cylinder_extractor.GetOutput() <img src="./images/icons/callouts/4.png" alt="4">
 
 message("Found %d elements between inner and outer radii." % geometry_in_ring.GetNumberOfCells())</pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>Important: <a href="http://www.vtk.org/doc/release/6.3/html/classvtkCylinder.html">vtkCylinder</a>
-                    is by default oriented with a <em>y</em> axis of
-                    rotation. We will rotate to <em>z</em> axis of rotation later.</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/2.png" alt="2"></td>
-                  <td>Note that the center is swapped <em>y</em> &#8596; <em>z</em> because of the transform that
-                    will be applied.</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/3.png" alt="3"></td>
-                  <td>This is the transform we need to bring <em>y</em> &#8594; <em>z</em>. Note that the
-                    transformation will be applied to input points, not to the cylinder
-                    geometry.</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/4.png" alt="4"></td>
-                  <td>The output will be another <a
-                      href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a>,
-                    which consists
-                    of a subset of the input geometry (including a subset of both Cells
-                    and Points).</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Now, this is a good place to see what we have so far for a selection.
-                There are two possibilites: we could write out <code>geometry_in_ring</code> with
-                a <a
-                  href="http://www.vtk.org/doc/release/6.3/html/classvtkXMLUnstructuredGridWriter.html">vtkXMLUnstructuredGridWriter</a>
-                filter, or we could add the
-                element IDs as a set to the model. Let&#8217;s do the latter:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>elements_in_ring = vtk.vtkIdTypeArray() <img src="./images/icons/callouts/1.png" alt="1">
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>Important: <a href="http://www.vtk.org/doc/release/6.3/html/classvtkCylinder.html">vtkCylinder</a> is by default oriented with a <em>y</em> axis of
+rotation.  We will rotate to <em>z</em> axis of rotation later.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/2.png" alt="2"></td>
+<td>Note that the center is swapped <em>y</em> &#8596; <em>z</em> because of the transform that
+will be applied.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/3.png" alt="3"></td>
+<td>This is the transform we need to bring <em>y</em> &#8594; <em>z</em>.  Note that the
+transformation will be applied to input points, not to the cylinder
+geometry.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/4.png" alt="4"></td>
+<td>The output will be another <a href="http://www.vtk.org/doc/release/6.3/html/classvtkUnstructuredGrid.html">vtkUnstructuredGrid</a>, which consists
+of a subset of the input geometry (including a subset of both Cells
+and Points).</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Now, this is a good place to see what we have so far for a selection.
+There are two possibilites: we could write out <code>geometry_in_ring</code> with
+a <a href="http://www.vtk.org/doc/release/6.3/html/classvtkXMLUnstructuredGridWriter.html">vtkXMLUnstructuredGridWriter</a> filter, or we could add the
+element IDs as a set to the model.  Let&#8217;s do the latter:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>elements_in_ring = vtk.vtkIdTypeArray() <img src="./images/icons/callouts/1.png" alt="1">
 elements_in_ring.DeepCopy(geometry_in_ring.GetCellData().GetPedigreeIds())
 elements_in_ring.SetName("in_ring")
 model.AddElementSet(elements_in_ring)</pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>To keep things clear, we&#8217;re going to make a copy of the data array
-                    that is the PedigreeIds. This will allow us to modify it, by for
-                    example re-naming it, without affecting the original. There are two steps
-                    to this: creating a new empty <a
-                      href="http://www.vtk.org/doc/release/6.3/html/classvtkIdTypeArray.html">vtkIdTypeArray</a> and
-                    then using
-                    its <code>DeepCopy</code> method on the data array we want to copy.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Again, run the script to update the <code>n88model</code> file. We can now
-                extract this element set from it as follows:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ n88extractsets --element_sets sawbone.n88model
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>To keep things clear, we&#8217;re going to make a copy of the data array
+that is the PedigreeIds.  This will allow us to modify it, by for
+example re-naming it, without affecting the original.  There are two steps
+to this: creating a new empty <a href="http://www.vtk.org/doc/release/6.3/html/classvtkIdTypeArray.html">vtkIdTypeArray</a> and then using
+its <code>DeepCopy</code> method on the data array we want to copy.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Again, run the script to update the <code>n88model</code> file.  We can now
+extract this element set from it as follows:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88extractsets --element_sets sawbone.n88model
 Reading N88 Model file : sawbone.n88model
 Writing element set : sawbone_element_set_in_ring.vtp</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p><a href="#geometry_in_ring">Figure 44</a> shows this selection (<em>i.e.</em> the file
-                <code>sawbone_element_set_in_ring.vtp</code>), together with the
-                screw elements, shown for context. (We used a Threshold filter in ParaView to
-                show just the screw cells from <code>sawbone.n88model</code>.) <a href="#geometry_in_ring_flat">Figure
-                  45</a> is another view of the same data. This view
-                is more suited to inspecting the ring geometry of our selection. To construct
-                this view, first hit the +z button on the toolbar in order to view exactly
-                along the <em>z</em> axis. Then from View Settings under the Edit menu, select Use
-                Parallel Projection. Finally, change the Representation of both data sets to
-                Surface With Edges in order to show individual Cells.
-              </p>
-            </div>
-            <div id="geometry_in_ring" class="imageblock">
-              <div class="content">
-                <img src="images/geometry_in_ring_hr.png" alt="geometry in ring hr">
-              </div>
-              <div class="title">Figure 44. Geometry as selected by hollow cylinder filter</div>
-            </div>
-            <div id="geometry_in_ring_flat" class="imageblock">
-              <div class="content">
-                <img src="images/geometry_in_ring_flat_hr.png" alt="geometry in ring flat hr">
-              </div>
-              <div class="title">Figure 45. Geometry as selected by hollow cylinder filter, seen in flat projection
-              </div>
-            </div>
-            <div id="eliminating_nodes_below_a_certain_depth" class="paragraph">
-              <div class="title">Step 2: Eliminating nodes below a certain depth</div>
-              <p>To select elements based on depth, as measured from the highest node in our
-                set, we apply a similar approach as we did to select elements within the
-                correct radii. We use a VTK implicit function, in this case a <a
-                  href="http://www.vtk.org/doc/release/6.3/html/classvtkBox.html">vtkBox</a> ,
-                to specify the geometrical volume to which we want to limit our element set.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>message("Filtering node set by depth.")
+</div>
+</div>
+<div class="paragraph">
+<p><a href="#geometry_in_ring">Figure 50</a> shows this selection (<em>i.e.</em> the file
+<code>sawbone_element_set_in_ring.vtp</code>), together with the
+screw elements, shown for context. (We used a Threshold filter in ParaView to
+show just the screw cells from <code>sawbone.n88model</code>.)  <a href="#geometry_in_ring_flat">Figure 51</a> is another view of the same data. This view
+is more suited to inspecting the ring geometry of our selection. To construct
+this view, first hit the +z button on the toolbar in order to view exactly
+along the <em>z</em> axis. Then from View Settings under the Edit menu, select Use
+Parallel Projection. Finally, change the Representation of both data sets to
+Surface With Edges in order to show individual Cells.</p>
+</div>
+<div id="geometry_in_ring" class="imageblock">
+<div class="content">
+<img src="images/geometry_in_ring_hr.png" alt="geometry in ring hr">
+</div>
+<div class="title">Figure 50. Geometry as selected by hollow cylinder filter</div>
+</div>
+<div id="geometry_in_ring_flat" class="imageblock">
+<div class="content">
+<img src="images/geometry_in_ring_flat_hr.png" alt="geometry in ring flat hr">
+</div>
+<div class="title">Figure 51. Geometry as selected by hollow cylinder filter, seen in flat projection</div>
+</div>
+<div id="eliminating_nodes_below_a_certain_depth" class="paragraph">
+<div class="title">Step 2: Eliminating nodes below a certain depth</div>
+<p>To select elements based on depth, as measured from the highest node in our
+set, we apply a similar approach as we did to select elements within the
+correct radii. We use a VTK implicit function, in this case a <a href="http://www.vtk.org/doc/release/6.3/html/classvtkBox.html">vtkBox</a> ,
+to specify the geometrical volume to which we want to limit our element set.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>message("Filtering node set by depth.")
 
 geometry_in_ring_bounds = geometry_in_ring.GetBounds() <img src="./images/icons/callouts/1.png" alt="1">
 message("Bounds of ring geometry: ", (" %.4f"*6) % geometry_in_ring_bounds)
@@ -14127,59 +11164,53 @@ <h4 id="_fixing_the_nodes_in_a_ring_on_the_bone_surface">7.8.12. Fixing the node
 geometry_depth_filtered_ring = filter.GetOutput()
 
 message("Found %d elements in bounding box." % geometry_depth_filtered_ring.GetNumberOfCells())</pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>Note that the <em>z<sub>max</sub></em> bound of <code>geometry_in_ring</code> will be at the
-                    highest bit of bone in the ring.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Now just as before, we can create a corresponding element set for the
-                purposes of inspection:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>elements_depth_filtered_ring = vtk.vtkIdTypeArray()
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>Note that the <em>z<sub>max</sub></em> bound of <code>geometry_in_ring</code> will be at the
+highest bit of bone in the ring.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Now just as before, we can create a corresponding element set for the
+purposes of inspection:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>elements_depth_filtered_ring = vtk.vtkIdTypeArray()
 elements_depth_filtered_ring.DeepCopy(geometry_depth_filtered_ring.GetCellData().GetPedigreeIds())
 elements_depth_filtered_ring.SetName("depth_filtered_ring")
 model.AddElementSet(elements_depth_filtered_ring)</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Run the script, and use <a href="#n88extractsets">n88extractsets</a> to
-                extract the element sets, and it will create a new file,
-                <code>sawbone_element_set_depth_filtered_ring.vtp</code>.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p><a href="#ring_filtered_by_depth">Figure 46</a> shows the remaining elements after filtering by depth.
-              </p>
-            </div>
-            <div id="ring_filtered_by_depth" class="imageblock">
-              <div class="content">
-                <img src="images/ring_filtered_by_depth_hr.png" alt="ring filtered by depth hr">
-              </div>
-              <div class="title">Figure 46. Ring geometry after filtering by depth</div>
-            </div>
-            <div id="selecting_only_the_nodes_visible_from_above" class="paragraph">
-              <div class="title">Step 3: Selecting only the nodes visible from above</div>
-              <p>We can use the function <code>FindNodesOnVisibleSurface</code> from
-                <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneNodeSetsByGeometry.html">vtkboneNodeSetsByGeometry</a>
-                for this purpose. We need to
-                pass it a normal vector for the viewing direction, as well as an empty
-                <a href="http://www.vtk.org/doc/release/6.3/html/classvtkIdTypeArray.html">vtkIdTypeArray</a> for
-                storing the result.
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>message("Finding visible nodes.")
+</div>
+</div>
+<div class="paragraph">
+<p>Run the script, and use <a href="#n88extractsets">n88extractsets</a> to
+extract the element sets, and it will create a new file,
+<code>sawbone_element_set_depth_filtered_ring.vtp</code>.</p>
+</div>
+<div class="paragraph">
+<p><a href="#ring_filtered_by_depth">Figure 52</a> shows the remaining elements after filtering by depth.</p>
+</div>
+<div id="ring_filtered_by_depth" class="imageblock">
+<div class="content">
+<img src="images/ring_filtered_by_depth_hr.png" alt="ring filtered by depth hr">
+</div>
+<div class="title">Figure 52. Ring geometry after filtering by depth</div>
+</div>
+<div id="selecting_only_the_nodes_visible_from_above" class="paragraph">
+<div class="title">Step 3: Selecting only the nodes visible from above</div>
+<p>We can use the function <code>FindNodesOnVisibleSurface</code> from
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneNodeSetsByGeometry.html">vtkboneNodeSetsByGeometry</a> for this purpose. We need to
+pass it a normal vector for the viewing direction, as well as an empty
+<a href="http://www.vtk.org/doc/release/6.3/html/classvtkIdTypeArray.html">vtkIdTypeArray</a> for storing the result.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>message("Finding visible nodes.")
 
 visibleNodesIds = vtk.vtkIdTypeArray() <img src="./images/icons/callouts/1.png" alt="1">
 normalVector = (0,0,1) <img src="./images/icons/callouts/2.png" alt="2">
@@ -14192,115 +11223,106 @@ <h4 id="_fixing_the_nodes_in_a_ring_on_the_bone_surface">7.8.12. Fixing the node
 model.AddNodeSet(visibleNodesIds)
 
 message("Found %d visible nodes." % visibleNodesIds.GetNumberOfTuples())</pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>This will store the result as a list of Point IDs.</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/2.png" alt="2"></td>
-                  <td>This is the negative of the viewing direction.</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/3.png" alt="3"></td>
-                  <td><code>FindNodesOnVisibleSurface</code> automatically returns the Pedigree Ids,
-                    provided that they exist on in input object (they do).</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Again, run the script to update the <code>n88model</code> file. This time we want
-                to extract the node sets</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ n88extractsets --node_sets sawbone.n88model
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>This will store the result as a list of Point IDs.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/2.png" alt="2"></td>
+<td>This is the negative of the viewing direction.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/3.png" alt="3"></td>
+<td><code>FindNodesOnVisibleSurface</code> automatically returns the Pedigree Ids,
+provided that they exist on in input object (they do).</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Again, run the script to update the <code>n88model</code> file.  This time we want
+to extract the node sets</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88extractsets --node_sets sawbone.n88model
 Reading N88 Model file : sawbone.n88model
 Writing node set : sawbone_node_set_screw_top.vtp
 Writing node set : sawbone_node_set_ring_top_visible.vtp</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>The resulting ring-shaped cloud of points (file
-                <code>sawbone_node_set_ring_top_visible.vtp</code>) is shown in <a href="#visible_bone_nodes">Figure
-                  47</a>.
-                These are the nodes to which we will apply our fixed boundary condition.
-              </p>
-            </div>
-            <div id="visible_bone_nodes" class="imageblock">
-              <div class="content">
-                <img src="images/visible_bone_nodes_hr.png" alt="visible bone nodes hr">
-              </div>
-              <div class="title">Figure 47. Bone nodes after filtering by visibility from above</div>
-            </div>
-            <div id="screw_ring_defining_the_constraint" class="paragraph">
-              <div class="title">Defining the boundary condition on the bone</div>
-              <p>Now that we have a named node set for this constraint, it is easy to create
-                the desired boundary condition, which we will name &#8220;fixed_bone_surface&#8221;:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>model.FixNodes("ring_top_visible", "fixed_bone_surface")</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_adding_a_convergence_set_2">7.8.13. Adding a convergence set</h4>
-            <div class="paragraph">
-              <p>As we did in
-                <a href="#cantilever_tutorial">Tutorial: Deflection of a cantilevered beam; adding custom boundary
-                  conditions and loads</a>,
-                we will add a <em>convergence set</em>. See <a href="#convergence_measure">Convergence measure</a> for
-                discussion.
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># Create a convergence set: the force on the screw
+</div>
+</div>
+<div class="paragraph">
+<p>The resulting ring-shaped cloud of points (file
+<code>sawbone_node_set_ring_top_visible.vtp</code>) is shown in <a href="#visible_bone_nodes">Figure 53</a>.
+These are the nodes to which we will apply our fixed boundary condition.</p>
+</div>
+<div id="visible_bone_nodes" class="imageblock">
+<div class="content">
+<img src="images/visible_bone_nodes_hr.png" alt="visible bone nodes hr">
+</div>
+<div class="title">Figure 53. Bone nodes after filtering by visibility from above</div>
+</div>
+<div id="screw_ring_defining_the_constraint" class="paragraph">
+<div class="title">Defining the boundary condition on the bone</div>
+<p>Now that we have a named node set for this constraint, it is easy to create
+the desired boundary condition, which we will name &#8220;fixed_bone_surface&#8221;:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>model.FixNodes("ring_top_visible", "fixed_bone_surface")</pre>
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_adding_a_convergence_set_2">7.8.13. Adding a convergence set</h4>
+<div class="paragraph">
+<p>As we did in
+<a href="#cantilever_tutorial">Tutorial: Deflection of a cantilevered beam; adding custom boundary conditions and loads</a>,
+we will add a <em>convergence set</em>. See <a href="#convergence_measure">Convergence measure</a> for discussion.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># Create a convergence set: the force on the screw
 
 model.ConvergenceSetFromConstraint("screw_top_displacement")</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>This method notices that the constraint named <em>screw_top_displacement</em>, which we
-                created previously, is a boundary condition. It then constructs the compliment,
-                which is the force summed over all nodes subject to the boundary conditions.
-                It is this force that the solver will watch to determine when its value ceases
-                to change meaningfully. At that point the solver is finished.</p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="screw_pullout_post_processing_sets">7.8.14. Specifying sets for post-processing</h4>
-            <div class="paragraph">
-              <p>
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>Just as we saw in the tutorial
-                <a href="#cantilever_tutorial">Deflection of a cantilevered beam; adding custom boundary conditions and
-                  loads</a>,
-                there remains one more step to complete the <code>n88model</code> file,
-                and that is to identify the sets to
-                be used for post-processing calculations by <a href="#n88postfaim">n88postfaim</a>.
-                We are interested in values calculated on the sets &#8220;ring_top_visible&#8221;
-                and &#8220;screw_top&#8221;. However, when we have generated our own custom sets,
-                as we have here, we must be careful about providing both node sets
-                and the corresponding element sets to <a href="#n88postfaim">n88postfaim</a>. If
-                you review how we created the sets for generating boundary conditions,
-                you will observe that we only generated the node sets. Fortunately,
-                there is a method <code>GetAssociatedElementsFromNodeSet</code> of
-                <a
-                  href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a>
-                that will identify the corresponding
-                element set given a node set.
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>info = model.GetInformation()
+</div>
+</div>
+<div class="paragraph">
+<p>This method notices that the constraint named <em>screw_top_displacement</em>, which we
+created previously, is a boundary condition. It then constructs the compliment,
+which is the force summed over all nodes subject to the boundary conditions.
+It is this force that the solver will watch to determine when its value ceases
+to change meaningfully. At that point the solver is finished.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="screw_pullout_post_processing_sets">7.8.14. Specifying sets for post-processing</h4>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>Just as we saw in the tutorial
+<a href="#cantilever_tutorial">Deflection of a cantilevered beam; adding custom boundary conditions and loads</a>,
+there remains one more step to complete the <code>n88model</code> file,
+and that is to identify the sets to
+be used for post-processing calculations by <a href="#n88postfaim">n88postfaim</a>.
+We are interested in values calculated on the sets &#8220;ring_top_visible&#8221;
+and &#8220;screw_top&#8221;.  However, when we have generated our own custom sets,
+as we have here, we must be careful about providing both node sets
+and the corresponding element sets to <a href="#n88postfaim">n88postfaim</a>.  If
+you review how we created the sets for generating boundary conditions,
+you will observe that we only generated the node sets.  Fortunately,
+there is a method <code>GetAssociatedElementsFromNodeSet</code> of
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneFiniteElementModel.html">vtkboneFiniteElementModel</a> that will identify the corresponding
+element set given a node set.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>info = model.GetInformation()
 pp_node_sets_key = vtkbone.vtkboneSolverParameters.POST_PROCESSING_NODE_SETS()
 pp_elem_sets_key = vtkbone.vtkboneSolverParameters.POST_PROCESSING_ELEMENT_SETS()
 for setname in ["ring_top_visible", "screw_top"]:
@@ -14308,15 +11330,15 @@ <h4 id="screw_pullout_post_processing_sets">7.8.14. Specifying sets for post-pro
     elementSet = model.GetAssociatedElementsFromNodeSet(setname)
     model.AddElementSet(elementSet)
     pp_elem_sets_key.Append(info, setname)</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>After running the script, we can verify that these post-processing sets
-                are in fact specified in the <code>n88model</code> file,</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ n88modelinfo --problems sawbone.n88model
+</div>
+</div>
+<div class="paragraph">
+<p>After running the script, we can verify that these post-processing sets
+are in fact specified in the <code>n88model</code> file,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88modelinfo --problems sawbone.n88model
 Problems:
  ----------------------------------------------------------------------
 
@@ -14326,201 +11348,174 @@ <h4 id="screw_pullout_post_processing_sets">7.8.14. Specifying sets for post-pro
   PostProcessingNodeSets : ring_top_visible,screw_top
   PostProcessingElementSets : ring_top_visible,screw_top
  ----------------------------------------------------------------------</pre>
-              </div>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    <div class="paragraph">
-                      <p>As before, it is possible to skip this step, and instead to specify the
-                        node and element sets to be used by <a href="#n88postfaim">n88postfaim</a> on the
-                        command line of <a href="#n88postfaim">n88postfaim</a> with the arguments</p>
-                    </div>
-                    <div class="listingblock">
-                      <div class="content">
-                        <pre>--node_sets=ring_top_visible,screw_top --element_sets=ring_top_visible,screw_top</pre>
-                      </div>
-                    </div>
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>We now have a complete <code>n88model</code> file. If you want, you can proceed to
-                solve it using <a href="#faim">faim</a>, as in previous tutorials. We leave it
-                as an exercise to identify, from the analysis file, the net forces between
-                the screw top and the constrained ring of bone.</p>
-            </div>
-            <div class="paragraph">
-              <p>This concludes the screw pull-out tutorial. In this tutorial we learned how
-                to generate node sets based on complex criteria, to which we can then apply
-                boundary conditions. This is the final tutorial in the series on
-                learning <code>vtkbone</code>.</p>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="longitudinal_fe_with_vtkbone_tutorial">7.9. Tutorial: Radius compression with transformed boundary
-            conditions for longitudinal bone strength estimates</h3>
-          <div class="paragraph">
-            <p>In this tutorial, we will develop a Python script that can perform axial compression of a radius model
-              from HR-pQCT, with boundary conditions that are transformed by the results of 3D rigid-body image
-              registration. This application of Faim is used in a novel method for longitudinal estimates of bone
-              strength, so-called “registered FE” (Plett et al. 2020 [in review]).</p>
-          </div>
-          <div class="paragraph">
-            <p>Briefly, the method was developed to take an image from a longitudinal series that has been registered
-              (3D rigid-body image registration) and cropped to the largest common volume of bone captured in the image
-              series. The boundary conditions of the FE model are transformed using the output from image registration
-              (IPL, Scanco Medical AG) to ensure that the compression test is performed in the same orientation for all
-              images in the series.</p>
-          </div>
-          <div class="paragraph">
-            <p>This tutorial uses <code>vtkbone</code> in a custom script that generates an <code>n88model</code> file.
-              It is highly recommended to complete <a href="#cube_with_vtkbone_tutorial">Tutorial: Compressing a cube
-                revisited using vtkbone</a> before proceeding to this tutorial.</p>
-          </div>
-          <div class="paragraph">
-            <p>This tutorial will include:</p>
-          </div>
-          <div class="ulist">
-            <ul>
-              <li>
-                <p><code>vtkbone</code>: How to initialize boundary conditions on an uneven load surface, such as when
-                  using a 3D registered bone volume from longitudinal HR-pQCT.</p>
-              </li>
-              <li>
-                <p><code>vtkbone</code>: How to transform boundary conditions and apply them to your finite element
-                  model.</p>
-              </li>
-              <li>
-                <p>Example: “Registered FE” on a distal radius segment.</p>
-              </li>
-            </ul>
-          </div>
-          <div class="paragraph">
-            <p>This tutorial assumes:</p>
-          </div>
-          <div class="ulist">
-            <ul>
-              <li>
-                <p>You have a basic understanding of Python scripting and Faim.</p>
-              </li>
-              <li>
-                <p>You have at least completed Tutorials 7.1-5 in this manual.</p>
-              </li>
-              <li>
-                <p>You are familiar with 3D image registration and its outputs, specifically the implementation used for
-                  longitudinal HR-pQCT images.</p>
-              </li>
-            </ul>
-          </div>
-          <div class="paragraph">
-            <p>Registered FE is currently implemented using Python-based tools, packaged in <a href="#vtkbone">Preparing
-                Finite Element Models with vtkbone</a>, to create custom finite element models that can be solved with
-              Faim.</p>
-          </div>
-          <div class="admonitionblock note">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/note.png" alt="Note">
-                </td>
-                <td class="content">
-                  If you do not wish to build the script on your own as you follow this tutorial, a finished version is
-                  provided in the tutorial files (<a href="http://numerics88.com/n88/downloads/"
-                    class="bare">http://numerics88.com/n88/downloads/</a>).
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="sect3">
-            <h4 id="_script_setup">7.9.1. Script setup</h4>
-            <div class="paragraph">
-              <p>We will write the script in the following sequence:</p>
-            </div>
-            <div class="olist arabic">
-              <ol class="arabic">
-                <li>
-                  <p>Import packages.</p>
-                </li>
-                <li>
-                  <p>Define utility functions.</p>
-                </li>
-                <li>
-                  <p>Define model generator function.</p>
-                </li>
-                <li>
-                  <p>Define and call main function.</p>
-                </li>
-              </ol>
-            </div>
-            <div class="paragraph">
-              <p>Start by opening a new script file titled &#8220;_modelgenerator_registered_fe.py_&#8221; (or another
-                name that describes the purpose of the script).</p>
-            </div>
-            <div class="paragraph">
-              <p>Now we will import the packages that are needed for this script. Any additional packages that you wish
-                to use may be added below this list:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>import os
+</div>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>As before, it is possible to skip this step, and instead to specify the
+node and element sets to be used by <a href="#n88postfaim">n88postfaim</a> on the
+command line of <a href="#n88postfaim">n88postfaim</a> with the arguments</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>--node_sets=ring_top_visible,screw_top --element_sets=ring_top_visible,screw_top</pre>
+</div>
+</div>
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>We now have a complete <code>n88model</code> file.  If you want, you can proceed to
+solve it using <a href="#faim">faim</a>, as in previous tutorials.  We leave it
+as an exercise to identify, from the analysis file, the net forces between
+the screw top and the constrained ring of bone.</p>
+</div>
+<div class="paragraph">
+<p>This concludes the screw pull-out tutorial.  In this tutorial we learned how
+to generate node sets based on complex criteria, to which we can then apply
+boundary conditions.  This is the final tutorial in the series on
+learning <code>vtkbone</code>.</p>
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="longitudinal_fe_with_vtkbone_tutorial">7.9. Tutorial: Radius compression with transformed boundary conditions for longitudinal bone strength estimates</h3>
+<div class="paragraph">
+<p>In this tutorial, we will develop a Python script that can perform axial compression of a radius model from HR-pQCT, with boundary conditions that are transformed by the results of 3D rigid-body image registration. This application of Faim is used in a novel method for longitudinal estimates of bone strength, so-called “registered FE” (Plett et al. 2020 [in review]).</p>
+</div>
+<div class="paragraph">
+<p>Briefly, the method was developed to take an image from a longitudinal series that has been registered (3D rigid-body image registration) and cropped to the largest common volume of bone captured in the image series. The boundary conditions of the FE model are transformed using the output from image registration (IPL, Scanco Medical AG) to ensure that the compression test is performed in the same orientation for all images in the series.</p>
+</div>
+<div class="paragraph">
+<p>This tutorial uses <code>vtkbone</code> in a custom script that generates an <code>n88model</code> file. It is highly recommended to complete <a href="#cube_with_vtkbone_tutorial">Tutorial: Compressing a cube revisited using vtkbone</a> before proceeding to this tutorial.</p>
+</div>
+<div class="paragraph">
+<p>This tutorial will include:</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p><code>vtkbone</code>: How to initialize boundary conditions on an uneven load surface, such as when using a 3D registered bone volume from longitudinal HR-pQCT.</p>
+</li>
+<li>
+<p><code>vtkbone</code>: How to transform boundary conditions and apply them to your finite element model.</p>
+</li>
+<li>
+<p>Example: “Registered FE” on a distal radius segment.</p>
+</li>
+</ul>
+</div>
+<div class="paragraph">
+<p>This tutorial assumes:</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p>You have a basic understanding of Python scripting and Faim.</p>
+</li>
+<li>
+<p>You have at least completed Tutorials 7.1-5 in this manual.</p>
+</li>
+<li>
+<p>You are familiar with 3D image registration and its outputs, specifically the implementation used for longitudinal HR-pQCT images.</p>
+</li>
+</ul>
+</div>
+<div class="paragraph">
+<p>Registered FE is currently implemented using Python-based tools, packaged in <a href="#vtkbone">Preparing Finite Element Models with vtkbone</a>, to create custom finite element models that can be solved with Faim.</p>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+If you do not wish to build the script on your own as you follow this tutorial, a finished version is provided in the tutorial files (<a href="http://numerics88.com/n88/downloads/" class="bare">http://numerics88.com/n88/downloads/</a>).
+</td>
+</tr>
+</table>
+</div>
+<div class="sect3">
+<h4 id="_script_setup">7.9.1. Script setup</h4>
+<div class="paragraph">
+<p>We will write the script in the following sequence:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>Import packages.</p>
+</li>
+<li>
+<p>Define utility functions.</p>
+</li>
+<li>
+<p>Define model generator function.</p>
+</li>
+<li>
+<p>Define and call main function.</p>
+</li>
+</ol>
+</div>
+<div class="paragraph">
+<p>Start by opening a new script file titled &#8220;_modelgenerator_registered_fe.py_&#8221; (or another name that describes the purpose of the script).</p>
+</div>
+<div class="paragraph">
+<p>Now we will import the packages that are needed for this script. Any additional packages that you wish to use may be added below this list:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>import os
 import sys
 import argparse
 import numpy as np
 import vtk
 import vtkbone
 # additional packages can be added here</pre>
-              </div>
-            </div>
-            <div class="admonitionblock tip">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/tip.png" alt="Tip">
-                  </td>
-                  <td class="content">
-                    If you provide an alias for a package (e.g. “np” for “numpy”, as shown above) the alias should be
-                    used consistently throughout the script to avoid confusion.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Let&#8217;s give the script a quick test run to make sure everything is installed correctly:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ python modelgenerator_registered_fe.py</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Running this script should result in no output, so any output will indicate an error with the import
-                commands. Most often, any errors that occur at this point are likely triggered by a package that is not
-                installed in your Python environment, or your Python environment is not activated.</p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_optional_function_messages_with_a_time_stamp">7.9.2. Optional function: Messages with a time stamp
-            </h4>
-            <div class="paragraph">
-              <p>A useful addition to any script, particularly a script with many sequential steps, is a utility
-                function that can output messages (i.e. warnings, errors, other key outputs) with a time stamp. This can
-                make debugging easier, but can also help you pinpoint errors that do not throw obvious errors in the
-                code (e.g. flawed image data that leads to unusual FE results).</p>
-            </div>
-            <div class="paragraph">
-              <p>Though there are many ways to accomplish this in Python, a utility function presents an excellent
-                modular approach:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>def message(msg, *additionalLines):
+</div>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+If you provide an alias for a package (e.g. “np” for “numpy”, as shown above) the alias should be used consistently throughout the script to avoid confusion.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Let&#8217;s give the script a quick test run to make sure everything is installed correctly:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ python modelgenerator_registered_fe.py</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>Running this script should result in no output, so any output will indicate an error with the import commands. Most often, any errors that occur at this point are likely triggered by a package that is not installed in your Python environment, or your Python environment is not activated.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_optional_function_messages_with_a_time_stamp">7.9.2. Optional function: Messages with a time stamp</h4>
+<div class="paragraph">
+<p>A useful addition to any script, particularly a script with many sequential steps, is a utility function that can output messages (i.e. warnings, errors, other key outputs) with a time stamp. This can make debugging easier, but can also help you pinpoint errors that do not throw obvious errors in the code (e.g. flawed image data that leads to unusual FE results).</p>
+</div>
+<div class="paragraph">
+<p>Though there are many ways to accomplish this in Python, a utility function presents an excellent modular approach:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>def message(msg, *additionalLines):
 
   “””Print message with time stamp.
 
@@ -14532,44 +11527,40 @@ <h4 id="_optional_function_messages_with_a_time_stamp">7.9.2. Optional function:
 
   for line in additionalLines:
     print((" " * 9 + line))</pre>
-              </div>
-            </div>
-            <div class="admonitionblock note">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/note.png" alt="Note">
-                  </td>
-                  <td class="content">
-                    You will need to import the <code>time</code> package (<code>import time</code>) with the packages
-                    we imported earlier.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>We can also initialize the time stamp after this point:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>start_time = time.time()</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_utility_function_read_a_material_file">7.9.3. Utility function: Read a material file</h4>
-            <div class="paragraph">
-              <p>The registered FE method currently uses custom bone volumes from the XtremeCT II systems (insert bone
-                image), so a material file makes it easy to identify the loading surfaces and assign material properties
-                to the bone volume. For more details on creating material files, see <a
-                  href="#material_definitions_file">Material definitions file</a>.</p>
-            </div>
-            <div class="paragraph">
-              <p>Our material file will have the following format:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>MaterialDefinitions:
+</div>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+You will need to import the <code>time</code> package (<code>import time</code>) with the packages we imported earlier.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>We can also initialize the time stamp after this point:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>start_time = time.time()</pre>
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_utility_function_read_a_material_file">7.9.3. Utility function: Read a material file</h4>
+<div class="paragraph">
+<p>The registered FE method currently uses custom bone volumes from the XtremeCT II systems (insert bone image), so a material file makes it easy to identify the loading surfaces and assign material properties to the bone volume. For more details on creating material files, see <a href="#material_definitions_file">Material definitions file</a>.</p>
+</div>
+<div class="paragraph">
+<p>Our material file will have the following format:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>MaterialDefinitions:
     Surface:
         Type: LinearIsotropic
         E: 8748 <img src="./images/icons/callouts/1.png" alt="1">
@@ -14581,36 +11572,34 @@ <h4 id="_utility_function_read_a_material_file">7.9.3. Utility function: Read a
 MaterialTable:
     127: Surface
     125: Bone</pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>This is a typical modulus used for XtremeCT II images.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="admonitionblock note">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/note.png" alt="Note">
-                  </td>
-                  <td class="content">
-                    A copy of this material file is stored with the tutorial files with the name
-                    &#8220;material_cort_trab_xt2_reg.txt&#8221;.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Now that we have a material file, we need to define a function that can read it for our model
-                generator.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>def ReadMaterialFile(material_file):
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>This is a typical modulus used for XtremeCT II images.</td>
+</tr>
+</table>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+A copy of this material file is stored with the tutorial files with the name &#8220;material_cort_trab_xt2_reg.txt&#8221;.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Now that we have a material file, we need to define a function that can read it for our model generator.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>def ReadMaterialFile(material_file):
 
     # Initialize material names and identifiers:
     bone_name = 'Bone'
@@ -14631,51 +11620,45 @@ <h4 id="_utility_function_read_a_material_file">7.9.3. Utility function: Read a
 
     # Return material parameters to the model generator function:
     return bone_name, bone_material_id, bone_modulus, bone_poissons_ratio, surface_name, surface_modulus, surface_poissons_ratio, surface_material_id</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>This function defines material names and identifiers based on the labels found in the bone volumes,
-                then reads the material properties (i.e. modulus and Poisson’s ratio) from the material file. These
-                properties will be assigned to the FE model via a material table in subsequent steps.</p>
-            </div>
-            <div class="paragraph">
-              <p>To read the file, the function searches through each line in the material file to identify and extract
-                the elastic modulus and the Poisson’s ratio. After reading the file, the material properties of the bone
-                and load surfaces are returned.</p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_model_generator_function_first_steps">7.9.4. Model generator function: First steps</h4>
-            <div class="paragraph">
-              <p>The most important function in this script is the model generator function, which follows this
-                sequence:</p>
-            </div>
-            <div class="olist arabic">
-              <ol class="arabic">
-                <li>
-                  <p>Read the input image</p>
-                </li>
-                <li>
-                  <p>Read/generate a transformation matrix to transform boundary conditions</p>
-                </li>
-                <li>
-                  <p>Generate a voxel-based mesh and apply material properties from the material file</p>
-                </li>
-                <li>
-                  <p>Define boundary conditions</p>
-                </li>
-                <li>
-                  <p>Write the finite element model to an output file for the FE solver</p>
-                </li>
-              </ol>
-            </div>
-            <div class="paragraph">
-              <p>We want to read a standard HR-pQCT image file (AIM), so we will use <code>vtkboneAIMReader()</code>.
-                Note the use of the <code>message()</code> function we defined earlier.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>def CreateN88Model(input_file, output_file, material_file, transform_file, overwrite, displacement):
+</div>
+</div>
+<div class="paragraph">
+<p>This function defines material names and identifiers based on the labels found in the bone volumes, then reads the material properties (i.e. modulus and Poisson’s ratio) from the material file. These properties will be assigned to the FE model via a material table in subsequent steps.</p>
+</div>
+<div class="paragraph">
+<p>To read the file, the function searches through each line in the material file to identify and extract the elastic modulus and the Poisson’s ratio. After reading the file, the material properties of the bone and load surfaces are returned.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_model_generator_function_first_steps">7.9.4. Model generator function: First steps</h4>
+<div class="paragraph">
+<p>The most important function in this script is the model generator function, which follows this sequence:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>Read the input image</p>
+</li>
+<li>
+<p>Read/generate a transformation matrix to transform boundary conditions</p>
+</li>
+<li>
+<p>Generate a voxel-based mesh and apply material properties from the material file</p>
+</li>
+<li>
+<p>Define boundary conditions</p>
+</li>
+<li>
+<p>Write the finite element model to an output file for the FE solver</p>
+</li>
+</ol>
+</div>
+<div class="paragraph">
+<p>We want to read a standard HR-pQCT image file (AIM), so we will use <code>vtkboneAIMReader()</code>. Note the use of the <code>message()</code> function we defined earlier.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>def CreateN88Model(input_file, output_file, material_file, transform_file, overwrite, displacement):
 
     # Optional file checks ---
     # Ask the user if output_file should be overwritten:
@@ -14705,63 +11688,51 @@ <h4 id="_model_generator_function_first_steps">7.9.4. Model generator function:
 
     # Report image size (bounds):
     message("Image bounds:", (" %.4f" * 6) % image.GetBounds())</pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>If an output file already exists, the user may indicate whether or not the file should be
-                    overwritten. This is an optional step.</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/2.png" alt="2"></td>
-                  <td>The script will stop with an error message if the input file is not found. This is an optional
-                    code segment.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="admonitionblock note">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/note.png" alt="Note">
-                  </td>
-                  <td class="content">
-                    All code segments related to this function (i.e. written below) must be nested within the function.
-                    Be mindful of proper indentation to avoid errors, particularly if you copy-paste the code segments
-                    in this document into a text editor.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Now we want to define the transformation matrix by which we will transform the our boundary conditions
-                of our model. For longitudinal image data, this transformation will likely be in the form of a 4x4
-                affine matrix that is returned from 3D rigid-body image registration. This matrix contains the rotations
-                and translations that are required to align two images (typically, follow-up images aligned to the
-                baseline orientation). In the SCANCO implementation of image registration, the matrix is stored within a
-                text file, as shown below.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>SCANCO TRANSFORMATION DATA VERSION:   10
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>If an output file already exists, the user may indicate whether or not the file should be overwritten. This is an optional step.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/2.png" alt="2"></td>
+<td>The script will stop with an error message if the input file is not found. This is an optional code segment.</td>
+</tr>
+</table>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+All code segments related to this function (i.e. written below) must be nested within the function. Be mindful of proper indentation to avoid errors, particularly if you copy-paste the code segments in this document into a text editor.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Now we want to define the transformation matrix by which we will transform the our boundary conditions of our model. For longitudinal image data, this transformation will likely be in the form of a 4x4 affine matrix that is returned from 3D rigid-body image registration. This matrix contains the rotations and translations that are required to align two images (typically, follow-up images aligned to the baseline orientation). In the SCANCO implementation of image registration, the matrix is stored within a text file, as shown below.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>SCANCO TRANSFORMATION DATA VERSION:   10
 R4_MAT:
   9.9992300E-01  1.0839380E-02 -6.0423953E-03 -5.5105441E-01
  -1.0396725E-02  9.9756137E-01  6.9016078E-02  2.8265885E+00
   6.7757516E-03 -6.8947942E-02  9.9759725E-01  3.9438124E+00
   0.0000000E+00  0.0000000E+00  0.0000000E+00  1.0000000E+00</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>To rotate the boundary conditions of any <em>follow-up</em> images (in a given image series) with
-                respect to the baseline image, you will need to extract the 3x3 rotation matrix (the 9 elements in the
-                upper-left of the 4x4 affine matrix) by adding the following lines to our <code>CreateN88Model()</code>
-                function:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>  if os.path.isfile(transform_file): <img src="./images/icons/callouts/1.png" alt="1">
+</div>
+</div>
+<div class="paragraph">
+<p>To rotate the boundary conditions of any <em>follow-up</em> images (in a given image series) with  respect to the baseline image, you will need to extract the 3x3 rotation matrix (the 9 elements in the upper-left of the 4x4 affine matrix) by adding the following lines to our <code>CreateN88Model()</code> function:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>  if os.path.isfile(transform_file): <img src="./images/icons/callouts/1.png" alt="1">
       message("Reading IPL transformation matrix...")
       if(transform_file):
           t_mat = np.loadtxt(fname=transform_file, skiprows=2)
@@ -14769,32 +11740,26 @@ <h4 id="_model_generator_function_first_steps">7.9.4. Model generator function:
   else: <img src="./images/icons/callouts/2.png" alt="2">
       message("[WARNING]No transformation matrix applied...")
       rotation = np.identity(3)</pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>This code segment is specifically designed for transformation matrices generated by 3D
-                    registration in IPL (SCANCO Medical AG) for XtremeCT II images. If you are reading a transformation
-                    matrix that has a different format than the one above, you will need to modify this code
-                    accordingly.</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/2.png" alt="2"></td>
-                  <td>The <code>else</code> statement has been added to allow the user to skip the transformation step
-                    altogether. This is primarily to allow users to analyze baseline images with the same script as the
-                    follow-up images.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Now would be a good time to read the material file by calling the function we defined earlier. Remember
-                to place this code segment within the <code>CreateN88Model()</code> function.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>  if os.path.isfile(material_file):
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>This code segment is specifically designed for transformation matrices generated by 3D registration in IPL (SCANCO Medical AG) for XtremeCT II images. If you are reading a transformation matrix that has a different format than the one above, you will need to modify this code accordingly.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/2.png" alt="2"></td>
+<td>The <code>else</code> statement has been added to allow the user to skip the transformation step altogether. This is primarily to allow users to analyze baseline images with the same script as the follow-up images.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Now would be a good time to read the material file by calling the function we defined earlier. Remember to place this code segment within the <code>CreateN88Model()</code> function.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>  if os.path.isfile(material_file):
 	   bone_name, bone_material_id, bone_modulus, bone_poissons_ratio, 	surface_name, surface_modulus, surface_poissons_ratio, 	surface_material_id = ReadMaterialFile(material_file)
 
   # Report error if file is missing or not read correctly:
@@ -14812,50 +11777,46 @@ <h4 id="_model_generator_function_first_steps">7.9.4. Model generator function:
           '   {:14s} = {:8d}'.format('ID', surface_material_id),
           '   {:14s} = {:8.2f} MPa'.format('Modulus', surface_modulus),
           '   {:14s} = {:8.2f}'.format('Poissons ratio', surface_poissons_ratio))</pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>This is an optional step to make sure our material properties have been read correctly.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Since we have processed all our inputs, we can now create a finite element mesh from our image. We will
-                apply a connectivity filter to our image, to make sure the model comprises a single object (i.e. with no
-                floating pieces of bone or image noise in the model).</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>  message("Applying connectivity filter...")
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>This is an optional step to make sure our material properties have been read correctly.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Since we have processed all our inputs, we can now create a finite element mesh from our image. We will apply a connectivity filter to our image, to make sure the model comprises a single object (i.e. with no floating pieces of bone or image noise in the model).</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>  message("Applying connectivity filter...")
   confilt = vtkbone.vtkboneImageConnectivityFilter()
   confilt.SetInputData(image)
   confilt.Update()
   image = confilt.GetOutput()</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Let&#8217;s mesh our image:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>  message("Generating mesh...")
+</div>
+</div>
+<div class="paragraph">
+<p>Let&#8217;s mesh our image:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>  message("Generating mesh...")
   mesher = vtkbone.vtkboneImageToMesh()
   mesher.SetInputData(image)
   mesher.Update()
   mesh = mesher.GetOutput()</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>To apply the material properties to the mesh we just created, we will need to make a material table.
-                This process takes the elastic modulus and Poisson’s ratio that we read from the material file and
-                assigns them to a linear-elastic material in the table.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>  message("Generating material table...")
+</div>
+</div>
+<div class="paragraph">
+<p>To apply the material properties to the mesh we just created, we will need to make a material table. This process takes the elastic modulus and Poisson’s ratio that we read from the material file and assigns them to a linear-elastic material in the table.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>  message("Generating material table...")
   E = bone_modulus
   v = bone_poissons_ratio
   material_name = bone_name
@@ -14867,28 +11828,26 @@ <h4 id="_model_generator_function_first_steps">7.9.4. Model generator function:
   material_table = vtkbone.vtkboneMaterialTable()
   material_table.AddMaterial(surface_material_id,linear_material)
   material_table.AddMaterial(bone_material_id,linear_material)</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>We apply the material parameters to the mesh by compiling the mesh and material table into an
-                initialized form of the finite element model, a “test base”.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>  message("Compiling model...")
+</div>
+</div>
+<div class="paragraph">
+<p>We apply the material parameters to the mesh by compiling the mesh and material table into an initialized form of the finite element model, a “test base”.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>  message("Compiling model...")
   # Compile the mesh and material_table into a test base:
   modelConfig = vtkbone.vtkboneApplyTestBase()
   modelConfig.SetInputData(0, mesh)
   modelConfig.SetInputData(1, material_table)</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Then we can tell Faim to identify the load surfaces, which are voxels/elements labeled with the number
-                127.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>  # Assign material_table properties to the appropriate voxels:
+</div>
+</div>
+<div class="paragraph">
+<p>Then we can tell Faim to identify the load surfaces, which are voxels/elements labeled with the number 127.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>  # Assign material_table properties to the appropriate voxels:
   modelConfig.SetTopConstraintSpecificMaterial(127)
   modelConfig.UnevenTopSurfaceOn()
   modelConfig.UseTopSurfaceMaximumDepthOn()
@@ -14904,187 +11863,158 @@ <h4 id="_model_generator_function_first_steps">7.9.4. Model generator function:
 
   # Report model size (bounds):
   message("Model bounds:", (" %.4f" * 6) % model.GetBounds())</pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>3.5 mm was chosen as a distance slightly less than half of the standard XtremeCT II image volume
-                    (10.2 mm).</td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_model_generator_function_apply_transformed_boundary_conditions">7.9.5. Model generator function:
-              Apply transformed boundary conditions</h4>
-            <div class="paragraph">
-              <p>Applying transformed boundary conditions is relatively simple and requires only a few additional lines
-                of code from a standard “non-registered” test.</p>
-            </div>
-            <div class="paragraph">
-              <p>First, we need to define a displacement vector for the model.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>  message("Defining displacement boundary conditions...")
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>3.5 mm was chosen as a distance slightly less than half of the standard XtremeCT II image volume (10.2 mm).</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_model_generator_function_apply_transformed_boundary_conditions">7.9.5. Model generator function: Apply transformed boundary conditions</h4>
+<div class="paragraph">
+<p>Applying transformed boundary conditions is relatively simple and requires only a few additional lines of code from a standard “non-registered” test.</p>
+</div>
+<div class="paragraph">
+<p>First, we need to define a displacement vector for the model.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>  message("Defining displacement boundary conditions...")
 
   # Initialize the displacement vector:
   e_init = np.array([0, 0, -float(displacement)]) <img src="./images/icons/callouts/1.png" alt="1">
 
   # Fix the bottom surface nodes of the model, completely:
   model.FixNodes('face_z0', 'bottom_fixed') <img src="./images/icons/callouts/2.png" alt="2"></pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>Remember that we use &#8220;+np+&#8221; as an alias for the <code>numpy</code> package.</td>
-                </tr>
-                <tr>
-                  <td><img src="./images/icons/callouts/2.png" alt="2"></td>
-                  <td>Since we are rotating the applied displacement, we need to use <em>axial</em> boundary conditions.
-                    This means the fixed surface must be fixed in every direction.
-                    A <em>uniaxial</em> boundary condition would be complex and require nodes to translate within a
-                    plane defined perpendicular to the loading direction. A future challenge!</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>The displacement vector is typically oriented along the z-axis and has a magnitude of 0.102 mm, 1% of
-                the image “thickness”, for a standard XtremeCT II bone model (to achieve 1% apparent strain).</p>
-            </div>
-            <div class="paragraph">
-              <p>Since we are transforming the boundary conditions of follow-up images, so they are aligned in the same
-                direction as the baseline image, the displacement vector needs to be transformed with the rotation
-                matrix we generated earlier.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>  # Transform the displacement vector:
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>Remember that we use &#8220;+np+&#8221; as an alias for the <code>numpy</code> package.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/2.png" alt="2"></td>
+<td>Since we are rotating the applied displacement, we need to use <em>axial</em> boundary conditions. This means the fixed surface must be fixed in every direction.
+A <em>uniaxial</em> boundary condition would be complex and require nodes to translate within a plane defined perpendicular to the loading direction. A future challenge!</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>The displacement vector is typically oriented along the z-axis and has a magnitude of 0.102 mm, 1% of the image “thickness”, for a standard XtremeCT II bone model (to achieve 1% apparent strain).</p>
+</div>
+<div class="paragraph">
+<p>Since we are transforming the boundary conditions of follow-up images, so they are aligned in the same direction as the baseline image, the displacement vector needs to be transformed with the rotation matrix we generated earlier.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>  # Transform the displacement vector:
   message("Setting boundary conditions...")
   e_trafo = np.dot(np.linalg.inv(rotation), e_init)</pre>
-              </div>
-            </div>
-            <div class="admonitionblock note">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/note.png" alt="Note">
-                  </td>
-                  <td class="content">
-                    Even though we are transforming the displacement vector, the magnitude will remain the same (i.e.
-                    0.102mm). In the registered FE method, the magnitude of &#8220;+displacement+&#8221; can also be
-                    changed to reflect the reduction in image thickness by 3D image registration.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Now we want to create a set of boundary conditions on the load surface, using the transformed
-                displacement vector we just created. We will do this using the <code>ApplyBoundaryCondition()</code>
-                function from vtkbone.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>  # Apply boundary conditions by components of the displacement vector:
+</div>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+Even though we are transforming the displacement vector, the magnitude will remain the same (i.e. 0.102mm). In the registered FE method, the magnitude of &#8220;+displacement+&#8221; can also be changed to reflect the reduction in image thickness by 3D image registration.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Now we want to create a set of boundary conditions on the load surface, using the transformed displacement vector we just created. We will do this using the <code>ApplyBoundaryCondition()</code> function from vtkbone.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>  # Apply boundary conditions by components of the displacement vector:
   model.ApplyBoundaryCondition('face_z1', vtkbone.vtkboneConstraint.SENSE_X, e_trafo[0], 'x_moved') <img src="./images/icons/callouts/1.png" alt="1">
   model.ApplyBoundaryCondition('face_z1', vtkbone.vtkboneConstraint.SENSE_Y, e_trafo[1], 'y_moved')
   model.ApplyBoundaryCondition('face_z1', vtkbone.vtkboneConstraint.SENSE_Z, e_trafo[2], ‘z_moved')</pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>Make sure the vector components (x in <code>e_trafo[0]</code>; y in <code>e_trafo[2]</code>; z in
-                    <code>e_trafo[2]</code>) match the corresponding boundary condition (<code>SENSE_X</code>,
-                    <code>SENSE_Y</code>, <code>SENSE_Z</code>).
-                  </td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_model_generator_function_define_model_outputs_and_write_n88model_file">7.9.6. Model generator
-              function: Define model outputs and write n88model file</h4>
-            <div class="paragraph">
-              <p>Before writing the <code>n88model</code> file, we want to define the model outputs that will be
-                recorded when the model is solved. So, we will define the node sets from which we acquire our bone
-                strength estimates (e.g. reaction force), specifically the top and bottom surfaces (loaded and fixed) of
-                the model we just created.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>  info = model.GetInformation()
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>Make sure the vector components (x in <code>e_trafo[0]</code>; y in <code>e_trafo[2]</code>; z in <code>e_trafo[2]</code>) match the corresponding boundary condition (<code>SENSE_X</code>, <code>SENSE_Y</code>, <code>SENSE_Z</code>).</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_model_generator_function_define_model_outputs_and_write_n88model_file">7.9.6. Model generator function: Define model outputs and write n88model file</h4>
+<div class="paragraph">
+<p>Before writing the <code>n88model</code> file, we want to define the model outputs that will be recorded when the model is solved. So, we will define the node sets from which we acquire our bone strength estimates (e.g. reaction force), specifically the top and bottom surfaces (loaded and fixed) of the model we just created.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>  info = model.GetInformation()
   pp_node_sets_key =  vtkbone.vtkboneSolverParameters.POST_PROCESSING_NODE_SETS()
 
   pp_node_sets_key.Append(info, 'face_z1') # top surface nodes
   pp_node_sets_key.Append(info, 'face_z0') # bottom surface nodes
   model.AppendHistory("Created with   modelgenerator_registered_fe.py version 1.0")</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Almost there! The last step in this function is to write the model to an <code>n88model</code> file.
-                The filename will be defined by an input variable &#8220;+output_file+&#8221;.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>message("Writing n88model file: ", output_file)
+</div>
+</div>
+<div class="paragraph">
+<p>Almost there! The last step in this function is to write the model to an <code>n88model</code> file. The filename will be defined by an input variable &#8220;+output_file+&#8221;.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>message("Writing n88model file: ", output_file)
 writer = vtkbone.vtkboneN88ModelWriter()
 writer.SetInputData(model)
 writer.SetFileName(output_file)
 writer.Update()</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_main_function_process_input_variables_and_call_model_generator_function">7.9.7. Main function:
-              Process input variables and call model generator function</h4>
-            <div class="paragraph">
-              <p>The main function of this script processes the user&#8217;s inputs and sends them to the model
-                generator function to create our <code>n88model</code> file. The input arguments will be defined with an
-                argument parser, including mandatory and optional variables. We can also include (brief) help
-                documentation for the user to clarify what input variables are required for this script to run properly.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>The input arguments we will define are:</p>
-            </div>
-            <div class="ulist">
-              <ul>
-                <li>
-                  <p>Input file (required): A segmented AIM file.</p>
-                </li>
-                <li>
-                  <p>Output file (required): The output filename.</p>
-                </li>
-                <li>
-                  <p>Material file (required): The material file.</p>
-                </li>
-                <li>
-                  <p>Transform file (optional): The 4x4 transformation file from 3D image registration (*.txt).
-                    Remember, this is not required if processing a baseline image and an identity matrix will be used
-                    instead.</p>
-                </li>
-                <li>
-                  <p>Overwrite (optional): Overwrite existing output_file. Remember, the program will ask if
-                    <code>overwrite</code> is not indicated and <code>output_file</code> exists.
-                  </p>
-                </li>
-                <li>
-                  <p>Displacement (optional): Value to initialize displacement vector; default is 0.102 mm.</p>
-                </li>
-              </ul>
-            </div>
-            <div class="paragraph">
-              <p>Written in code, this function will look like this:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># Main function
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_main_function_process_input_variables_and_call_model_generator_function">7.9.7. Main function: Process input variables and call model generator function</h4>
+<div class="paragraph">
+<p>The main function of this script processes the user&#8217;s inputs and sends them to the model generator function to create our <code>n88model</code> file. The input arguments will be defined with an argument parser, including mandatory and optional variables. We can also include (brief) help documentation for the user to clarify what input variables are required for this script to run properly.</p>
+</div>
+<div class="paragraph">
+<p>The input arguments we will define are:</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p>Input file (required): A segmented AIM file.</p>
+</li>
+<li>
+<p>Output file (required): The output filename.</p>
+</li>
+<li>
+<p>Material file (required): The material file.</p>
+</li>
+<li>
+<p>Transform file (optional): The 4x4 transformation file from 3D image registration (*.txt). Remember, this is not required if processing a baseline image and an identity matrix will be used instead.</p>
+</li>
+<li>
+<p>Overwrite (optional): Overwrite existing output_file. Remember, the program will ask if <code>overwrite</code> is not indicated and <code>output_file</code> exists.</p>
+</li>
+<li>
+<p>Displacement (optional): Value to initialize displacement vector; default is 0.102 mm.</p>
+</li>
+</ul>
+</div>
+<div class="paragraph">
+<p>Written in code, this function will look like this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># Main function
 def main():
 
     description = '''Generates an n88model from 3D registered images.
@@ -15104,68 +12034,58 @@ <h4 id="_main_function_process_input_variables_and_call_model_generator_function
     args = parser.parse_args()
 
     CreateN88Model(**vars(args))</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>To end the script, it is important to make sure all of these functions will actually be called by the
-                program when it is run from the command line. This is done by a short code segment that checks to make
-                sure the script has been run correctly from the command line.</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre># Call main function
+</div>
+</div>
+<div class="paragraph">
+<p>To end the script, it is important to make sure all of these functions will actually be called by the program when it is run from the command line. This is done by a short code segment that checks to make sure the script has been run correctly from the command line.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre># Call main function
 if __name__ == '__main__':
     main()</pre>
-              </div>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_example_registered_fe_in_practice">7.9.8. Example: Registered FE in practice</h4>
-            <div class="paragraph">
-              <p>Now we will put this method into practice. We will test this script, using a registered XtremeCT II
-                image (distal radius) and performing a standard compression test to 1% apparent strain.</p>
-            </div>
-            <div class="paragraph">
-              <p>You will need the following files, provided in the tutorial files ( <a
-                  href="http://numerics88.com/n88/downloads/" class="bare">http://numerics88.com/n88/downloads/</a> ):</p>
-            </div>
-            <div class="ulist">
-              <ul>
-                <li>
-                  <p>input_file: <code>REPO_004_RR_S4_REG_HOM_LS.AIM</code></p>
-                </li>
-                <li>
-                  <p>transform_file: <code>REPO_004_RR_S4_REG.TXT</code></p>
-                </li>
-                <li>
-                  <p>material_file: <code>material_cort_trab_xt2_reg.txt</code></p>
-                </li>
-              </ul>
-            </div>
-            <div class="paragraph">
-              <p>The image file is an XtremeCT II image of a distal radius. The radius was imaged four times and each
-                follow-up image (S2, S3, and S4) were misaligned from the baseline image (S1). The images were
-                registered with 3D rigid-body image registration, identifying the the largest common volume (% overlap)
-                between scans. For this radius, the volume was found to be 91.37% of the original bone volume. We will
-                use this value to determine our compressive displacement for the test.</p>
-            </div>
-            <div class="paragraph">
-              <p>The transform file contains the affine transformation that is needed to transform the image (S4) to
-                baseline (S1); therefore, each follow-up image will have the same volume (defined by the overlap) and
-                different transformation files.</p>
-            </div>
-            <div class="imageblock">
-              <div class="content">
-                <img src="images/longitudinal_fe_bone.png" alt="longitudinal fe bone">
-              </div>
-              <div class="title">Figure 48. 3D registered radius image (XtremeCT II, SCANCO Medical AG).</div>
-            </div>
-            <div class="paragraph">
-              <p>Let’s run our script in “help” mode (-h) to make sure we have all the inputs:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ Python modelgenerator_registered_fe.py -h
+</div>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_example_registered_fe_in_practice">7.9.8. Example: Registered FE in practice</h4>
+<div class="paragraph">
+<p>Now we will put this method into practice. We will test this script, using a registered XtremeCT II image (distal radius) and performing a standard compression test to 1% apparent strain.</p>
+</div>
+<div class="paragraph">
+<p>You will need the following files, provided in the tutorial files ( <a href="http://numerics88.com/n88/downloads/" class="bare">http://numerics88.com/n88/downloads/</a> ):</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p>input_file: <code>REPO_004_RR_S4_REG_HOM_LS.AIM</code></p>
+</li>
+<li>
+<p>transform_file: <code>REPO_004_RR_S4_REG.TXT</code></p>
+</li>
+<li>
+<p>material_file: <code>material_cort_trab_xt2_reg.txt</code></p>
+</li>
+</ul>
+</div>
+<div class="paragraph">
+<p>The image file is an XtremeCT II image of a distal radius. The radius was imaged four times and each follow-up image (S2, S3, and S4) were misaligned from the baseline image (S1). The images were registered with 3D rigid-body image registration, identifying the the largest common volume (% overlap) between scans. For this radius, the volume was found to be 91.37% of the original bone volume. We will use this value to determine our compressive displacement for the test.</p>
+</div>
+<div class="paragraph">
+<p>The transform file contains the affine transformation that is needed to transform the image (S4) to baseline (S1); therefore, each follow-up image will have the same volume (defined by the overlap) and different transformation files.</p>
+</div>
+<div class="imageblock">
+<div class="content">
+<img src="images/longitudinal_fe_bone.png" alt="longitudinal fe bone">
+</div>
+<div class="title">Figure 54. 3D registered radius image (XtremeCT II, SCANCO Medical AG).</div>
+</div>
+<div class="paragraph">
+<p>Let’s run our script in “help” mode (-h) to make sure we have all the inputs:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ Python modelgenerator_registered_fe.py -h
 
 usage: blmodelgenerator_reg [-h] [--material_file MATERIAL_FILE]
                             [--transform_file TRANSFORM_FILE] [--overwrite]
@@ -15191,49 +12111,43 @@ <h4 id="_example_registered_fe_in_practice">7.9.8. Example: Registered FE in pra
   --overwrite           Overwrite existing output.
   --displacement DISPLACEMENT
                         Displacement boundary condition for registered volume.</pre>
-              </div>
-            </div>
-            <div class="admonitionblock note">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/note.png" alt="Note">
-                  </td>
-                  <td class="content">
-                    Make sure you activate your anaconda environment before executing the script.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>Here we can see the information that we added to the main function in our script with the argument
-                parser. From this, we know that we are still missing the <code>output_file</code> and displacement
-                arguments.</p>
-            </div>
-            <div class="paragraph">
-              <p>We will set the output filename to be the same as the input, just with the “n88model” extension instead
-                of AIM, so it will look something like: <code>REPO_004_RR_S4_REG_HOM_LS.n88model</code> .</p>
-            </div>
-            <div class="paragraph">
-              <p>The volume of this image is 91.37% of the standard image volume (thickness 10.2mm), so we will scale
-                the input displacement to be 91.37% of the standard displacement (0.102 mm): \(0.9137*0.102mm =
-                0.093mm\) . Calculating the displacement in this way provides a simplified &#8220;scaling factor&#8221;
-                so that the apparent strain remains close to 1% for every scan in a study.</p>
-            </div>
-            <div class="paragraph">
-              <p>Now that we have all our inputs organized, let’s test our script:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ Python modelgenerator_registered_fe.py REPO_004_RR_S4_REG_HOM_LS.AIM REPO_004_RR_S4_REG_HOM_LS.n88model --material_file material_cort_trab_xt2_reg.txt --transform_file REPO_004_RR_S4_REG.TXT --overwrite --displacement 0.093</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>If the script ran correctly, the output should look something like this:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>0.00 Reading AIM file REPO_004_RR_S4_REG_HOM_LS.AIM as input...
+</div>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+Make sure you activate your anaconda environment before executing the script.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Here we can see the information that we added to the main function in our script with the argument parser. From this, we know that we are still missing the <code>output_file</code> and displacement arguments.</p>
+</div>
+<div class="paragraph">
+<p>We will set the output filename to be the same as the input, just with the “n88model” extension instead of AIM, so it will look something like: <code>REPO_004_RR_S4_REG_HOM_LS.n88model</code> .</p>
+</div>
+<div class="paragraph">
+<p>The volume of this image is 91.37% of the standard image volume (thickness 10.2mm), so we will scale the input displacement to be 91.37% of the standard displacement (0.102 mm): \(0.9137*0.102mm = 0.093mm\) . Calculating the displacement in this way provides a simplified &#8220;scaling factor&#8221; so that the apparent strain remains close to 1% for every scan in a study.</p>
+</div>
+<div class="paragraph">
+<p>Now that we have all our inputs organized, let’s test our script:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ Python modelgenerator_registered_fe.py REPO_004_RR_S4_REG_HOM_LS.AIM REPO_004_RR_S4_REG_HOM_LS.n88model --material_file material_cort_trab_xt2_reg.txt --transform_file REPO_004_RR_S4_REG.TXT --overwrite --displacement 0.093</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>If the script ran correctly, the output should look something like this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>0.00 Reading AIM file REPO_004_RR_S4_REG_HOM_LS.AIM as input...
 0.10 Image bounds:
       49.2881 67.5587 46.0103 69.4404 0.0000 10.1970
 0.10 Reading IPL transformation matrix...
@@ -15257,81 +12171,69 @@ <h4 id="_example_registered_fe_in_practice">7.9.8. Example: Registered FE in pra
 21.02 Writing n88model file:
      REPO_004_RR_S4_REG_HOM_LS.n88model
 257.88 Done. Have a nice day! <img src="./images/icons/callouts/1.png" alt="1"></pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>It&#8217;s never a bad idea to have a little fun with your scripts. The <code>message()</code>
-                    function can make your day sometimes. :)</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>A warning may appear while the script is run,</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>Warning: In ../Filters/Extraction/vtkValueSelector.cxx, line 547
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>It&#8217;s never a bad idea to have a little fun with your scripts. The <code>message()</code> function can make your day sometimes. :)</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>A warning may appear while the script is run,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>Warning: In ../Filters/Extraction/vtkValueSelector.cxx, line 547
 vtkValueSelector (0x7fa8e6dbecd0): Warning: range selections should use two-component arrays to specify the range.  Using single component arrays with a tuple for the low and high ends of the range is legacy behavior and may be removed in future releases.</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>This is nothing to worry about and will not affect the results of the script.</p>
-            </div>
-            <div class="imageblock">
-              <div class="content">
-                <img src="images/longitudinal_fe_n88model.png" alt="longitudinal fe n88model">
-              </div>
-              <div class="title">Figure 49. Unsolved n88model with load surfaces labeled (default colours in Paraview).
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>You can now solve the model with <code>faim</code>:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>faim [additional options] [n88model file] <img src="./images/icons/callouts/1.png" alt="1"></pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>See the <a href="#faim">faim reference documentation</a> for details on the additional arguments
-                    that can be used.</td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_post_processing">7.9.9. Post-processing</h4>
-            <div class="paragraph">
-              <p>Once your <code>n88model</code> is solved, the results will need to be processed using a slightly
-                altered procedure than in a typical &#8220;non-registered&#8221; analysis. The <em>non-registered</em>
-                analysis extracts the results as the vertical component only (i.e. the z-component, as in reaction
-                force, displacement, etc.), since the test is conducted in exactly the vertical direction. With the
-                <em>registered</em> approach, the results are transformed and so the test is no longer conducted in the
-                vertical direction alone; therefore, the resulting estimates must include all components (i.e. x-, y-,
-                z-components). To do so, we will take the magnitude of a result (u) as:
-              </p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                \begin{aligned} u = \sqrt(u_{x}^{2}+u_{y}^{2}+u_{z}^{2}) \end{aligned}
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>If the model used in our example above was solved correctly, the reaction force results (see
-                <code>REPO_004_RR_S4_REG_HOM_LS_analysis.txt</code>) should look something like this:
-              </p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>============================================================================
+</div>
+</div>
+<div class="paragraph">
+<p>This is nothing to worry about and will not affect the results of the script.</p>
+</div>
+<div class="imageblock">
+<div class="content">
+<img src="images/longitudinal_fe_n88model.png" alt="longitudinal fe n88model">
+</div>
+<div class="title">Figure 55. Unsolved n88model with load surfaces labeled (default colours in Paraview).</div>
+</div>
+<div class="paragraph">
+<p>You can now solve the model with <code>faim</code>:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>faim [additional options] [n88model file] <img src="./images/icons/callouts/1.png" alt="1"></pre>
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>See the <a href="#faim">faim reference documentation</a> for details on the additional arguments that can be used.</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_post_processing">7.9.9. Post-processing</h4>
+<div class="paragraph">
+<p>Once your <code>n88model</code> is solved, the results will need to be processed using a slightly altered procedure than in a typical &#8220;non-registered&#8221; analysis. The <em>non-registered</em> analysis extracts the results as the vertical component only (i.e. the z-component, as in reaction force, displacement, etc.), since the test is conducted in exactly the vertical direction. With the <em>registered</em> approach, the results are transformed and so the test is no longer conducted in the vertical direction alone; therefore, the resulting estimates must include all components (i.e. x-, y-, z-components). To do so, we will take the magnitude of a result (u) as:</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+\begin{aligned} u = \sqrt(u_{x}^{2}+u_{y}^{2}+u_{z}^{2}) \end{aligned}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>If the model used in our example above was solved correctly, the reaction force results (see <code>REPO_004_RR_S4_REG_HOM_LS_analysis.txt</code>) should look something like this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>============================================================================
 Table 9: Nodal Forces
 ----------------------------------------------------------------------------
 Node set:                                                                  1
@@ -15344,441 +12246,409 @@ <h4 id="_post_processing">7.9.9. Post-processing</h4>
 minimum    -2.011E+00 -1.950E+00 -8.329E+00
 maximum     2.694E+00  3.698E+00  3.189E-01
 median     -5.603E-06  0.000E+00 -7.541E-02</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Let&#8217;s say that we want to find the &#8220;registration-adjusted&#8221; reaction force estimate.
-                Instead of using the total z-component of the reaction force (-8.214 kN), we want to calculate the total
-                reaction force <em>magnitude</em> as:</p>
-            </div>
-            <div class="stemblock">
-              <div class="content">
-                \[
-                \begin{aligned} F = \sqrt(Fx^{2}+Fy^{2}+Fz^{2}) =
-                \sqrt((-9.520E+01)^{2}+(3.637E+02)^{2}+(-8.214E+03)^{2}) = 8.223 kN \end{aligned}
-                \]
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>This operation accounts for the transformed boundary conditions and allows us to report precise
-                estimates of bone strength from longitudinal data. The easiest way to implement this adjustment is to
-                calculate the magnitude of an estimate after the results have been parsed into a delimited file or
-                spreadsheet for statistical analysis in Excel, SPSS, or R.</p>
-            </div>
-            <div class="paragraph">
-              <p>To calculate failure load with <a href="#n88pistoia">n88pistoia</a> we will need to use a modified
-                command than would be used in a standard analysis:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88pistoia [n88model file name] --constraint z_moved --critical_volume 2.0 --critical_strain 0.007 --output_file [pistoia file name]</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>From our example, this command should then look like:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88pistoia REPO_004_RR_S4_REG_HOM_LS.n88model --constraint z_moved --critical_volume 2.0 --critical_strain 0.007 --output_file REPO_004_RR_S4_REG_HOM_LS_pistoia.txt <img src="./images/icons/callouts/1.png" alt="1"></pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>The constraint <code>z_moved</code> is a custom constraint that we added in the
-                    <code>CreateN88Model</code> function. The default for <code>n88pistoia</code> is
-                    &#8220;top_moved&#8221;, so be sure to use the correct constraint in your test.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>The full results set from this example can be parsed from the results files
-                (<code>*_analysis.txt</code> or <code>*_pistoia.txt</code>) using the following commands:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>$ n88tabulate -H -o [output_file] REPO_004_RR_S4_REG_HOM_LS_analysis.txt #OR
+</div>
+</div>
+<div class="paragraph">
+<p>Let&#8217;s say that we want to find the &#8220;registration-adjusted&#8221; reaction force estimate. Instead of using the total z-component of the reaction force (-8.214 kN), we want to calculate the total reaction force <em>magnitude</em> as:</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+\begin{aligned} F = \sqrt(Fx^{2}+Fy^{2}+Fz^{2}) = \sqrt((-9.520E+01)^{2}+(3.637E+02)^{2}+(-8.214E+03)^{2}) = 8.223 kN \end{aligned}
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>This operation accounts for the transformed boundary conditions and allows us to report precise estimates of bone strength from longitudinal data. The easiest way to implement this adjustment is to calculate the magnitude of an estimate after the results have been parsed into a delimited file or spreadsheet for statistical analysis in Excel, SPSS, or R.</p>
+</div>
+<div class="paragraph">
+<p>To calculate failure load with <a href="#n88pistoia">n88pistoia</a> we will need to use a modified command than would be used in a standard analysis:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88pistoia [n88model file name] --constraint z_moved --critical_volume 2.0 --critical_strain 0.007 --output_file [pistoia file name]</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>From our example, this command should then look like:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88pistoia REPO_004_RR_S4_REG_HOM_LS.n88model --constraint z_moved --critical_volume 2.0 --critical_strain 0.007 --output_file REPO_004_RR_S4_REG_HOM_LS_pistoia.txt <img src="./images/icons/callouts/1.png" alt="1"></pre>
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>The constraint <code>z_moved</code> is a custom constraint that we added in the <code>CreateN88Model</code> function. The default for <code>n88pistoia</code> is &#8220;top_moved&#8221;, so be sure to use the correct constraint in your test.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>The full results set from this example can be parsed from the results files (<code>*_analysis.txt</code> or <code>*_pistoia.txt</code>) using the following commands:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88tabulate -H -o [output_file] REPO_004_RR_S4_REG_HOM_LS_analysis.txt #OR
 $
 $ n88tabulate -H -V "pis_fx_fail,pis_fy_fail,pis_fz_fail" -o [output_file] REPO_004_RR_S4_REG_HOM_LS_pistoia.txt</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>This concludes the tutorial! You should now be able to transform displacement boundary conditions using
-                <code>vtkbone</code> and inputs from 3D image registration. The example included in this tutorial is
-                representative of the analysis that can be performed on a standard single-stack (10.2 mm) radius or
-                tibia image from XtremeCT II.
-              </p>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="additional_examples">7.10. Additional examples</h3>
-          <div class="paragraph">
-            <p>In addition to the tutorials, there are additional examples included in
-              the <code>other_examples</code> directory. Currently these consist of</p>
-          </div>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <div class="dlist">
-            <dl>
-              <dt class="hdlist1">segment_dicom</dt>
-              <dd>
-                <p>An example of reading a raw image file
-                  and performing a simple segmentation based on a density threshold and
-                  connectivity.</p>
-              </dd>
-            </dl>
-          </div>
-        </div>
-      </div>
-    </div>
-    <div class="sect1">
-      <h2 id="special_topics">8. Special Topics</h2>
-      <div class="sectionbody">
-        <div class="sect2">
-          <h3 id="material_arrays">8.1. Efficient Handling of Large Numbers of Material Definitions</h3>
-          <div class="paragraph">
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>In typical usage of Faim, the number of defined materials is small. In fact,
-              often we define just a single material as &#8220;bone&#8221;. We can, and do, take advantage
-              of the expectation of relatively few defined materials in the following three ways:</p>
-          </div>
-          <div class="olist arabic">
-            <ol class="arabic">
-              <li>
-                <p>The solver can pre-calculate important values for each material. In particular,
-                  the standard solver pre-calculates a 24&#215;24 <em>local stiffness matrix</em> for
-                  each material. This saves quite a bit of time on each iteration, and the
-                  storage is insignificant, provided that the number of material definitions
-                  is substantially less than the number of elements.</p>
-              </li>
-              <li>
-                <p>In the <a href="#n88model_file_format">n88model file format</a>, each individual material
-                  definition is stored as a kind of object, with a name, a named type, and
-                  named characteristics and
-                  values. This allows great flexibility in defining material types.
-                  The net impact on the file size is insignificant so long as the
-                  number of material definitions is substantially less than the number of elements.</p>
-              </li>
-              <li>
-                <p>When generating tables of post-processing results with <a href="#n88postfaim">n88postfaim</a>,
-                  results can be tabulated in subtables broken down by material ID. This is
-                  useful, but only
-                  so long as the number of defined materials stays within a range easily
-                  scanned by humans.</p>
-              </li>
-            </ol>
-          </div>
-          <div class="paragraph">
-            <p>Although these are important advantages, there are occasions when the assumption
-              of few material definitions is not so good. Here are two such cases:</p>
-          </div>
-          <div class="hdlist">
-            <table>
-              <tr>
-                <td class="hdlist1">
-                  A
-                </td>
-                <td class="hdlist2">
-                  <p>A <a href="#homminga_material_table">Homminga material table</a> is used, which generates
-                    a sequence of varying material properties according to image density. In this
-                    case, we are typically talking about a material table of the order of one
-                    hundred material IDs. The assumptions <em>1</em> (solver pre-calculated values)
-                    and <em>2</em> (efficient file storage of material definitions) still hold, but
-                    the output of <a href="#n88postfaim">n88postfaim</a>, if broken down by material, becomes
-                    cumbersome and excessive.</p>
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="hdlist">
-            <table>
-              <tr>
-                <td class="hdlist1">
-                  B
-                </td>
-                <td class="hdlist2">
-                  <p>Some researchers have proposed models in which the bone anisotropy is continuously
-                    variable. To model this with FE software requires that each element have
-                    its own stiffness matrix. Therefore the number of required material definitions
-                    is equal to the number of elements. In this case, following assumptions <em>1</em> and <em>2</em>
-                    results in a large inefficiencies: the solver uses greatly more memory, and
-                    the model file is many times larger than it would be for geometric data only.</p>
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>To address these issues, version 8 of Faim introduced the concept of <em>material
-                arrays</em>, in contrast to the existing <em>material tables</em>. This is an expansion
-              of the capabilities of Faim, and is really only relevant for the two cases
-              listed above. For all other cases, one could say for normal usage, the
-              previous concept of material tables is preferable, and it remains the default.</p>
-          </div>
-          <div class="paragraph">
-            <p>For the file format, a simple extension of the <code>n88model</code> standard is adopted,
-              wherein a material definition object within the file (in practice a <em>group</em> in netCDF terminology),
-              may optionally, instead of having named attributes, have
-              arrays of any length with the same names (where arrays in netCDF are called
-              <em>variables</em>). The length of the array indicates then that <em>M</em> materials are
-              being defined at once, and that they should get sequential material IDs.
-              Here are how the two above cases can be handled:
-            </p>
-          </div>
-          <div class="hdlist">
-            <table>
-              <tr>
-                <td class="hdlist1">
-                  A
-                </td>
-                <td class="hdlist2">
-                  <p>Homminga material table: You could have in your model file a single material
-                    array of
-                    length 127 for example. It has material ID 1, which implies the definition
-                    of materials 1..127. The material ID for each of your elements is in this range.
-                    This is in fact the method of operation of <code>n88modelgenerator</code> if you
-                    select a Homminga material table, and likewise for the vtkbone class
-                    <a
-                      href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneGenerateHommingaMaterialTable.html">vtkboneGenerateHommingaMaterialTable</a>
-                    .
-                  </p>
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="hdlist">
-            <table>
-              <tr>
-                <td class="hdlist1">
-                  B
-                </td>
-                <td class="hdlist2">
-                  <p>Continuously variable anisotropy: You could have in your model file a single material
-                    array of length equal to the number of elements N. It has material ID 1,
-                    implying the definition of materials 1..N . Consequently, you must have
-                    labelled your elements with sequential material IDs 1..N .</p>
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>These are the typical cases, but more exotic combinations are allowed.
-              You don&#8217;t need to necessarily start an array at material ID 1, and you
-              may define multiple material arrays. You can also mix traditional
-              single material definitions with material arrays, and there is no
-              requirement that all the definitions in your file are of the same
-              type. For example, you
-              could have one material array of isotropic materials, and another
-              of orthotropic materials. The only rule is that be no overlap of material IDs,
-              but otherwise in principle anything is allowed.</p>
-          </div>
-          <div class="paragraph">
-            <p>Let us look at the consequences for the solver.
-              For linear models, there are two solvers. The traditional and commonly used
-              solver <code>n88solver_slt</code>, which uses material tables internally, and the
-              new solver <code>n88solver_sla</code>, which uses material arrays internally, and is
-              efficient <em>only</em> when the number of material definitions is equal to or
-              comparable to the number of materials. Firstly, the solvers are entirely
-              independent of the <code>n88model</code> file. This is an important point:
-              <strong>all solvers can read all model files</strong>. <code>n88solver_slt</code> always converts
-              all material definitions in the model file, regardless of whether defined
-              individually
-              or in arrays, into a material table with entries for each material ID. This material table includes
-              pre-calculated local stiffness matrices, and the number of entries is equal to the
-              summed lengths of all defined material arrays, plus the number of
-              individually defined materials.
-              Conversely, <code>n88solver_sla</code> always generates an internal material
-              array of the same length as the number of elements. Even if you only define
-              one, or few, materials, these few materials will repeat over and over
-              so that there is one entry per element.
-              The critical efficiency of <code>n88solver_sla</code> as compared with <code>n88solver_slt</code>
-              is that only the minimal number of material parameters is stored in
-              the material array, and storage of pre-calculated values is avoied.
-              As a consequence
-              <code>n88solver_sla</code> is almost always slower than <code>n88solver_slt</code>; the trade-off
-              is that <code>n88solver_slt</code> uses really huge amounts of memory when
-              the number of defined materials becomes comparable to the number of
-              elements.
-            </p>
-          </div>
-          <div class="admonitionblock note">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/note.png" alt="Note">
-                </td>
-                <td class="content">
-                  The script <code>faim</code> will always use the solver <code>n88solver_slt</code> except
-                  in the single case where exactly one material array is defined,
-                  and it has length equal to the number of elements. In this case,
-                  <code>faim</code> will chose to use the <code>n88solver_sla</code> solver. You can
-                  of course always run the solver of your choice manually.
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>Finally, when it comes to post-processing with <a href="#n88postfaim">n88postfaim</a>,
-              where sub-tables for each material ID are generated, all material IDs
-              corresponding to a material array are grouped into a single subtable.
-              This prevents the amount of output from becoming excessive.</p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="direct_mechanics">8.2. Direct Mechanics</h3>
-          <div class="paragraph">
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>Microstructural organization plays an important role in macroscopic mechanical
-              behaviour. For example, bone microarchitectural organization, as shown here in
-              a human proximal femur, can exhibit patterns that are related to the
-              macrostructural mechanical behaviour, and those patterns vary depending on the
-              mechanical requirements at each location within the bone. A useful approach to
-              characterizing the microstructural patterns (also referred to as &#8220;fabric&#8221;) is
-              to determine the anisotropic properties of sub-volumes of bone. In some
-              regions of the femur, for example, the bone microarchitecture will be highly
-              aligned with the bone axis, but in other parts the alignment may be
-              predominantly in a transverse orientation. The anisotropic properties
-              typically need to be defined at several locations due to spatial
-              variation.</p>
-          </div>
-          <div class="paragraph">
-            <p>Anisotropy can be defined in terms of either the fabric or mechanical
-              behaviour. Methods for characterizing the fabric are based on techniques such
-              as mean intercept length or star volume analysis, and a good resource is the
-              paper by <a href="#odgaard1997a">Odgaard (1997a)</a>. Essentially, fabric methods focus on the
-              distribution
-              of tissue microarchitecture. Alternatively, the mechanical elastic behaviour
-              can be determined, and has been shown by
-              <a href="#odgaard1997b">Odgaard et al. (1997b)</a> that the
-              anisotropic fabric and mechanical properties are similar. This observation
-              makes sense, and reinforces the concept that underlying bone micro-architecture
-              is an important factor in determining mechanical behaviour. Here we focus on
-              the determination of bone anisotropic elastic behaviour using a so-called
-              <em>direct mechanics</em> assessment as proposed by
-              <a href="#vanrietbergen1996">van Rietbergen et al. (1996)</a>. In
-              summary, six elastic finite element tests are performed on a cubic subvolume, and those
-              results are used to define a 6&#215;6 stiffness matrix that relates stress to
-              strain as per Hooke’s Law,
-            </p>
-          </div>
-          <div class="stemblock">
-            <div class="content">
-              \[
-              \mathbf{\sigma} = \mathbf{C} \mathbf{\varepsilon} \; .
-              \]
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>The most general anisotropic material requires 21 independent coefficients to
-              fully characterize, but it is usually most convenient to assume there are planes
-              of elastic symmetry, in which case there exists an orientation of a
-              coordinate system where only 9 independent elastic coefficients are needed.
-              See the section <a href="#orthotropic_material">Linear Orthotropic Material</a>.
-              In this case,</p>
-          </div>
-          <div class="stemblock">
-            <div class="content">
-              \[
-              \mathbf{C} = \begin{bmatrix} C_{11} &amp; C_{12} &amp; C_{13} &amp; 0 &amp; 0 &amp; 0\\ &amp; C_{22} &amp;
-              C_{23} &amp; 0 &amp; 0 &amp; 0 \\ &amp; &amp; C_{33} &amp; 0 &amp; 0 &amp; 0 \\ &amp; &amp; &amp; C_{44}
-              &amp; 0 &amp; 0 \\ &amp; sym. &amp; &amp; &amp; C_{55} &amp; 0 \\ &amp; &amp; &amp; &amp; &amp; C_{66}
-              \end{bmatrix} \; .
-              \]
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>Finite element models of real measurement data of biological materials do not
-              exhibit perfect orthotropic symmetry,
-              therefore the process of reducing the 6&#215;6 matrix from 21 independent
-              coefficients to 9 involves finding an optimal coordinate system such that some
-              of the coefficients are close to zero. It is reasonable to assume that bone
-              mechanical behaviour can be reduced to a case of orthotropy; however, caution
-              should be exercised as it is up to the user to determine whether this
-              simplification is appropriate.</p>
-          </div>
-          <div class="paragraph">
-            <p>The basis of the direct mechanics approach is the application of six finite
-              element tests to an appropriate bone subvolume:</p>
-          </div>
-          <div class="olist arabic">
-            <ol class="arabic">
-              <li>
-                <p>uniaxial normal strain in the x-direction (<em>&#949;<sub>xx</sub></em>)</p>
-              </li>
-              <li>
-                <p>uniaxial normal strain in the y-direction (<em>&#949;<sub>yy</sub></em>)</p>
-              </li>
-              <li>
-                <p>uniaxial normal strain in the z-direction (<em>&#949;<sub>zz</sub></em>)</p>
-              </li>
-              <li>
-                <p>uniaxial shear strain in the x-direction (<em>&#947;<sub>yz</sub></em>)</p>
-              </li>
-              <li>
-                <p>uniaxial shear strain in the y-direction (<em>&#947;<sub>zx</sub></em>)</p>
-              </li>
-              <li>
-                <p>uniaxial shear strain in the z-direction (<em>&#947;<sub>xy</sub></em>)</p>
-              </li>
-            </ol>
-          </div>
-          <div class="paragraph">
-            <p>These tests are applied under the conditions of unit engineering strain.
-              Each test is evaluated for the six resulting stresses
-              (<em>&#963;<sub>xx</sub></em>, <em>&#963;<sub>yy</sub></em>, <em>&#963;<sub>xx</sub></em>,
-              <em>&#963;<sub>yz</sub></em>,
-              <em>&#963;<sub>zx</sub></em>, <em>&#963;<sub>xy</sub></em>), thus providing directly the values of the
-              6&#215;6 stiffness
-              matrix. The stresses are calculated as a volume average, which can be
-              shown to be equivalent to the surface stresses on the faces of the cube.
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>Finding the optimal rotation of the coordinate system to represent orthotropic
-              behaviour involves first decomposing the stiffness matrix into symmetric and
-              asymmetric components. The asymmetric component is discarded, as conservation
-              laws require that the stiffness matrix be symmetric. (The asymmetric
-              component thus consists entirely of measurement error.) An optimal rotation
-              is then found that minimizes the coefficients that
-              would be zero for a true orthotropic material expressed in the coordinate
-              system of its planes of symmetry.</p>
-          </div>
-          <div class="paragraph">
-            <p>The primary outputs from the direct mechanics approach are the stiffness
-              and compliance matrices (<strong>S</strong> = <strong>C</strong><sup>-1</sup>) in the original coordinate
-              system,
-              as well as
-              in the coordinate system of optimal orthotropy. The 3&#215;3 rotation matrix <strong>R</strong> that
-              describes the transformation from the
-              specimen coordinate system to the optimal coordinate system is given;
-              the rows are the principal axes in the original coordinate system.
-              Finally, from the compliance matrix, the standard
-              orthotropic elastic constants <em>E<sub>i</sub></em>,<em>&#957;<sub>ij</sub></em>,<em>G<sub>ii</sub></em>
-              are extracted. See
-              <a href="#orthotropic_material">Linear Orthotropic Material</a> for the definitions.
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The use of the <a href="#n88directmechanics">n88directmechanics</a> tool is described in
-              detail in <a href="#n88directmechanics">n88directmechanics</a>.</p>
-          </div>
-          <div class="paragraph">
-            <p>An example run of the <em>direct mechanics</em> analysis is shown below.</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>$ n88directmechanics test25a.aim
+</div>
+</div>
+<div class="paragraph">
+<p>This concludes the tutorial! You should now be able to transform displacement boundary conditions using <code>vtkbone</code> and inputs from 3D image registration. The example included in this tutorial is representative of the analysis that can be performed on a standard single-stack (10.2 mm) radius or tibia image from XtremeCT II.</p>
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="additional_examples">7.10. Additional examples</h3>
+<div class="paragraph">
+<p>In addition to the tutorials, there are additional examples included in
+the <code>other_examples</code> directory. Currently these consist of</p>
+</div>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">segment_dicom</dt>
+<dd>
+<p>An example of reading a raw image file
+and performing a simple segmentation based on a density threshold and
+connectivity.</p>
+</dd>
+</dl>
+</div>
+</div>
+</div>
+</div>
+<div class="sect1">
+<h2 id="special_topics">8. Special Topics</h2>
+<div class="sectionbody">
+<div class="sect2">
+<h3 id="material_arrays">8.1. Efficient Handling of Large Numbers of Material Definitions</h3>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>In typical usage of Faim, the number of defined materials is small. In fact,
+often we define just a single material as &#8220;bone&#8221;. We can, and do, take advantage
+of the expectation of relatively few defined materials in the following three ways:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>The solver can pre-calculate important values for each material. In particular,
+the standard solver pre-calculates a 24&#215;24 <em>local stiffness matrix</em> for
+each material. This saves quite a bit of time on each iteration, and the
+storage is insignificant, provided that the number of material definitions
+is substantially less than the number of elements.</p>
+</li>
+<li>
+<p>In the <a href="#n88model_file_format">n88model file format</a>, each individual material
+definition is stored as a kind of object, with a name, a named type, and
+named characteristics and
+values. This allows great flexibility in defining material types.
+The net impact on the file size is insignificant so long as the
+number of material definitions is substantially less than the number of elements.</p>
+</li>
+<li>
+<p>When generating tables of post-processing results with <a href="#n88postfaim">n88postfaim</a>,
+results can be tabulated in subtables broken down by material ID. This is
+useful, but only
+so long as the number of defined materials stays within a range easily
+scanned by humans.</p>
+</li>
+</ol>
+</div>
+<div class="paragraph">
+<p>Although these are important advantages, there are occasions when the assumption
+of few material definitions is not so good. Here are two such cases:</p>
+</div>
+<div class="hdlist">
+<table>
+<tr>
+<td class="hdlist1">
+A
+</td>
+<td class="hdlist2">
+<p>A <a href="#homminga_material_table">Homminga material table</a> is used, which generates
+a sequence of varying material properties according to image density. In this
+case, we are typically talking about a material table of the order of one
+hundred material IDs. The assumptions <em>1</em> (solver pre-calculated values)
+and <em>2</em> (efficient file storage of material definitions) still hold, but
+the output of <a href="#n88postfaim">n88postfaim</a>, if broken down by material, becomes
+cumbersome and excessive.</p>
+</td>
+</tr>
+</table>
+</div>
+<div class="hdlist">
+<table>
+<tr>
+<td class="hdlist1">
+B
+</td>
+<td class="hdlist2">
+<p>Some researchers have proposed models in which the bone anisotropy is continuously
+variable. To model this with FE software requires that each element have
+its own stiffness matrix. Therefore the number of required material definitions
+is equal to the number of elements. In this case, following assumptions <em>1</em> and <em>2</em>
+results in a large inefficiencies: the solver uses greatly more memory, and
+the model file is many times larger than it would be for geometric data only.</p>
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>To address these issues, version 8 of Faim introduced the concept of <em>material
+arrays</em>, in contrast to the existing <em>material tables</em>. This is an expansion
+of the capabilities of Faim, and is really only relevant for the two cases
+listed above. For all other cases, one could say for normal usage, the
+previous concept of material tables is preferable, and it remains the default.</p>
+</div>
+<div class="paragraph">
+<p>For the file format, a simple extension of the  <code>n88model</code> standard is adopted,
+wherein a material definition object within the file (in practice a <em>group</em> in netCDF terminology),
+may optionally, instead of having named attributes, have
+arrays of any length with the same names (where arrays in netCDF are called
+<em>variables</em>). The length of the array indicates then that <em>M</em> materials are
+being defined at once, and that they should get sequential material IDs.
+Here are how the two above cases can be handled:</p>
+</div>
+<div class="hdlist">
+<table>
+<tr>
+<td class="hdlist1">
+A
+</td>
+<td class="hdlist2">
+<p>Homminga material table: You could have in your model file a single material
+array of
+length 127 for example. It has material ID 1, which implies the definition
+of materials 1..127. The material ID for each of your elements is in this range.
+This is in fact the method of operation of <code>n88modelgenerator</code> if you
+select a Homminga material table, and likewise for the vtkbone class
+<a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneGenerateHommingaMaterialTable.html">vtkboneGenerateHommingaMaterialTable</a> .</p>
+</td>
+</tr>
+</table>
+</div>
+<div class="hdlist">
+<table>
+<tr>
+<td class="hdlist1">
+B
+</td>
+<td class="hdlist2">
+<p>Continuously variable anisotropy: You could have in your model file a single material
+array of length equal to the number of elements N. It has material ID 1,
+implying the definition of materials 1..N . Consequently, you must have
+labelled your elements with sequential material IDs 1..N .</p>
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>These are the typical cases, but more exotic combinations are allowed.
+You don&#8217;t need to necessarily start an array at material ID 1, and you
+may define multiple material arrays. You can also mix traditional
+single material definitions with material arrays, and there is no
+requirement that all the definitions in your file are of the same
+type. For example, you
+could have one material array of isotropic materials, and another
+of orthotropic materials. The only rule is that be no overlap of material IDs,
+but otherwise in principle anything is allowed.</p>
+</div>
+<div class="paragraph">
+<p>Let us look at the consequences for the solver.
+For linear models, there are two solvers. The traditional and commonly used
+solver <code>n88solver_slt</code>, which uses material tables internally, and the
+new solver <code>n88solver_sla</code>, which uses material arrays internally, and is
+efficient <em>only</em> when the number of material definitions is equal to or
+comparable to the number of materials. Firstly, the solvers are entirely
+independent of the <code>n88model</code> file. This is an important point:
+<strong>all solvers can read all model files</strong>. <code>n88solver_slt</code> always converts
+all material definitions in the model file, regardless of whether defined
+individually
+or in arrays, into a material table with entries for each material ID. This material table includes
+pre-calculated local stiffness matrices, and the number of entries is equal to the
+summed lengths of all defined material arrays, plus the number of
+individually defined materials.
+Conversely, <code>n88solver_sla</code> always generates an internal material
+array of the same length as the number of elements. Even if you only define
+one, or few, materials, these few materials will repeat over and over
+so that there is one entry per element.
+The critical efficiency of <code>n88solver_sla</code> as compared with <code>n88solver_slt</code>
+is that only the minimal number of material parameters is stored in
+the material array, and storage of pre-calculated values is avoied.
+As a consequence
+<code>n88solver_sla</code> is almost always slower than <code>n88solver_slt</code>; the trade-off
+is that <code>n88solver_slt</code> uses really huge amounts of memory when
+the number of defined materials becomes comparable to the number of
+elements.</p>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+The script <code>faim</code> will always use the solver <code>n88solver_slt</code> except
+      in the single case where exactly one material array is defined,
+      and it has length equal to the number of elements. In this case,
+      <code>faim</code> will chose to use the <code>n88solver_sla</code> solver. You can
+      of course always run the solver of your choice manually.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Finally, when it comes to post-processing with <a href="#n88postfaim">n88postfaim</a>,
+where sub-tables for each material ID are generated, all material IDs
+corresponding to a material array are grouped into a single subtable.
+This prevents the amount of output from becoming excessive.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="direct_mechanics">8.2. Direct Mechanics</h3>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>Microstructural organization plays an important role in macroscopic mechanical
+behaviour. For example, bone microarchitectural organization, as shown here in
+a human proximal femur, can exhibit patterns that are related to the
+macrostructural mechanical behaviour, and those patterns vary depending on the
+mechanical requirements at each location within the bone.  A useful approach to
+characterizing the microstructural patterns (also referred to as &#8220;fabric&#8221;) is
+to determine the anisotropic properties of sub-volumes of bone.  In some
+regions of the femur, for example, the bone microarchitecture will be highly
+aligned with the bone axis, but in other parts the alignment may be
+predominantly in a transverse orientation.  The anisotropic properties
+typically need to be defined at several locations due to spatial
+variation.</p>
+</div>
+<div class="paragraph">
+<p>Anisotropy can be defined in terms of either the fabric or mechanical
+behaviour.  Methods for characterizing the fabric are based on techniques such
+as mean intercept length or star volume analysis, and a good resource is the
+paper by <a href="#odgaard1997a">Odgaard (1997a)</a>.  Essentially, fabric methods focus on the distribution
+of tissue microarchitecture.  Alternatively, the mechanical elastic behaviour
+can be determined, and has been shown by
+<a href="#odgaard1997b">Odgaard et al. (1997b)</a> that the
+anisotropic fabric and mechanical properties are similar.  This observation
+makes sense, and reinforces the concept that underlying bone micro-architecture
+is an important factor in determining mechanical behaviour.  Here we focus on
+the determination of bone anisotropic elastic behaviour using a so-called
+<em>direct mechanics</em> assessment as proposed by
+<a href="#vanrietbergen1996">van Rietbergen et al. (1996)</a>. In
+summary, six elastic finite element tests are performed on a cubic subvolume, and those
+results are used to define a 6&#215;6 stiffness matrix that relates stress to
+strain as per Hooke’s Law,</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+\mathbf{\sigma} = \mathbf{C} \mathbf{\varepsilon} \; .
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>The most general anisotropic material requires 21 independent coefficients to
+fully characterize, but it is usually most convenient to assume there are planes
+of elastic symmetry, in which case there exists an orientation of a
+coordinate system where only 9 independent elastic coefficients are needed.
+See the section <a href="#orthotropic_material">Linear Orthotropic Material</a>.
+In this case,</p>
+</div>
+<div class="stemblock">
+<div class="content">
+\[
+\mathbf{C} = \begin{bmatrix} C_{11} &amp; C_{12} &amp; C_{13} &amp; 0 &amp; 0 &amp; 0\\ &amp; C_{22} &amp; C_{23} &amp; 0 &amp; 0 &amp; 0 \\ &amp; &amp; C_{33} &amp; 0 &amp; 0 &amp; 0 \\ &amp; &amp; &amp; C_{44} &amp; 0 &amp; 0 \\ &amp; sym. &amp; &amp; &amp; C_{55} &amp; 0 \\ &amp; &amp; &amp; &amp; &amp; C_{66} \end{bmatrix} \; .
+\]
+</div>
+</div>
+<div class="paragraph">
+<p>Finite element models of real measurement data of biological materials do not
+exhibit perfect orthotropic symmetry,
+therefore the process of reducing the 6&#215;6 matrix from 21 independent
+coefficients to 9 involves finding an optimal coordinate system such that some
+of the coefficients are close to zero. It is reasonable to assume that bone
+mechanical behaviour can be reduced to a case of orthotropy; however, caution
+should be exercised as it is up to the user to determine whether this
+simplification is appropriate.</p>
+</div>
+<div class="paragraph">
+<p>The basis of the direct mechanics approach is the application of six finite
+element tests to an appropriate bone subvolume:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>uniaxial normal strain in the x-direction (<em>&#949;<sub>xx</sub></em>)</p>
+</li>
+<li>
+<p>uniaxial normal strain in the y-direction (<em>&#949;<sub>yy</sub></em>)</p>
+</li>
+<li>
+<p>uniaxial normal strain in the z-direction (<em>&#949;<sub>zz</sub></em>)</p>
+</li>
+<li>
+<p>uniaxial shear strain in the x-direction (<em>&#947;<sub>yz</sub></em>)</p>
+</li>
+<li>
+<p>uniaxial shear strain in the y-direction (<em>&#947;<sub>zx</sub></em>)</p>
+</li>
+<li>
+<p>uniaxial shear strain in the z-direction (<em>&#947;<sub>xy</sub></em>)</p>
+</li>
+</ol>
+</div>
+<div class="paragraph">
+<p>These tests are applied under the conditions of unit engineering strain.
+Each test is evaluated for the six resulting stresses
+(<em>&#963;<sub>xx</sub></em>, <em>&#963;<sub>yy</sub></em>, <em>&#963;<sub>xx</sub></em>, <em>&#963;<sub>yz</sub></em>,
+<em>&#963;<sub>zx</sub></em>, <em>&#963;<sub>xy</sub></em>), thus providing directly the values of the 6&#215;6 stiffness
+matrix.  The stresses are calculated as a volume average, which can be
+shown to be equivalent to the surface stresses on the faces of the cube.</p>
+</div>
+<div class="paragraph">
+<p>Finding the optimal rotation of the coordinate system to represent orthotropic
+behaviour involves first decomposing the stiffness matrix into symmetric and
+asymmetric components.  The asymmetric component is discarded, as conservation
+laws require that the stiffness matrix be symmetric.  (The asymmetric
+component thus consists entirely of measurement error.)  An optimal rotation
+is then found that minimizes the coefficients that
+would be zero for a true orthotropic material expressed in the coordinate
+system of its planes of symmetry.</p>
+</div>
+<div class="paragraph">
+<p>The primary outputs from the direct mechanics approach are the stiffness
+and compliance matrices (<strong>S</strong> = <strong>C</strong><sup>-1</sup>) in the original coordinate system,
+as well as
+in the coordinate system of optimal orthotropy. The 3&#215;3 rotation matrix <strong>R</strong> that describes the transformation from the
+specimen coordinate system to the optimal coordinate system is given;
+the rows are the principal axes in the original coordinate system.
+Finally, from the compliance matrix, the standard
+orthotropic elastic constants <em>E<sub>i</sub></em>,<em>&#957;<sub>ij</sub></em>,<em>G<sub>ii</sub></em> are extracted.  See
+<a href="#orthotropic_material">Linear Orthotropic Material</a> for the definitions.</p>
+</div>
+<div class="paragraph">
+<p>The use of the <a href="#n88directmechanics">n88directmechanics</a> tool is described in
+detail in <a href="#n88directmechanics">n88directmechanics</a>.</p>
+</div>
+<div class="paragraph">
+<p>An example run of the <em>direct mechanics</em> analysis is shown below.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88directmechanics test25a.aim
 n88directmechanics version 6.0
-Copyright (c) 2012, Numerics88 Solutions Ltd.
+Copyright (c) 2010-2025, Numerics88 Solutions.
 
 input_file                   = test25a.aim
 material_table               = homogeneous
@@ -15894,114 +12764,112 @@ <h3 id="direct_mechanics">8.2. Direct Mechanics</h3>
     -------------------------------------------
 
     9.47 Done.</pre>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="n88postfaim_pistoia_failure_load">8.3. Pistoia Failure Load Estimate</h3>
-          <div class="paragraph">
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The failure load for a linear elastic model is based on the work by Dr. Walter Pistoia
-              (<a href="#pistoia2001a">Pistoia 2001a</a> and <a href="#pistoia2001b">2001b</a>). Numerics88 provides a
-              tool, <a href="#n88pistoia">n88pistoia</a> that can be used to carry out these calculations. In
-              general, <strong>it is more accurate and preferable to solve an elastoplastic
-                model in order to obtain failure loads</strong>. However, we include the Pistoia tool, mostly for those
-              who wish to compare current data to older results on which a Pistoia analysis was done.</p>
-          </div>
-          <div class="paragraph">
-            <p>The basic principal is that failure
-              load is defined as the load at which a pre-defined volume of tissue (percentage critical
-              volume) exceeds a pre-defined Energy Equivalent Strain (critical EES). Typical
-              values are 2.0% and 0.007, respectively. It should be noted that the so-called
-              Pistoia criterion is not a standard failure criteria used in classical
-              mechanics of materials; however, it has been extensively validated with experimental
-              testing of cadaver bones, and it is the most widely used and accepted
-              criterion for image-based linear FE modelling.</p>
-          </div>
-          <div class="paragraph">
-            <p>The <em>first</em> sub-table contains the failure load information (the sub-table is
-              denoted by a series of horizontal dots). The calculation of the failure load
-              requires post-processing the EES for each element of the solved linear FE
-              model. After ordering the EES in a histogram, the actual strain at the
-              critical volume threshold (e.g., 2%) is determined and reported in the table
-              as <code>EES at vol_crit</code>. As this is a linear FE model, a scale-factor for this
-              EES can be determined relative to the critical EES, and this is captured in
-              a defined factor. A table of factors is provided at the bottom of the Pistoia Failure Load Estimate table,
-              and the
-              factor associated with the defined critical volume and critical EES is
-              reported specifically in this first sub-table (other values of critical volume
-              and critical EES could be applied if necessary using the alternative table
-              factors). Knowing the total reaction force of the solved model (usually <code>RFz</code>) and the
-              actual EES value at the critical volume, a linear factor can be applied to
-              estimate the failure load: <code>failure load = RFz &#215; factor</code> .</p>
-          </div>
-          <div class="admonitionblock note">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/note.png" alt="Note">
-                </td>
-                <td class="content">
-                  Although a similar process can be applied to determine the torsional
-                  failure load (and is reported as torsional failure load) there have not been
-                  any experimental validations of this technique published to date. It is not
-                  recommended to use the reported torsional failure load until experimental
-                  validation is completed. Nevertheless, it is provided here for the users’
-                  convenience.
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>The <em>second</em> sub-table contains a summary of the axial and torsional stiffness
-              values, and these are identical to the previous corresponding tables. For
-              example, <code>RFz</code> from node set 1 has already been reported in
-              <a href="#n88postfaim_nodal_forces">Nodal Forces</a> as total <code>F_z_</code>. They are reported
-              again in this table for convenience.
-            </p>
-          </div>
-          <div class="admonitionblock important">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/important.png" alt="Important">
-                </td>
-                <td class="content">
-                  All failure loads are calculated assuming that
-                  axial compression or torsion was applied along the <code>z</code>-axis in the Data Frame.
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>The <em>third</em> sub-table contains a summary of the histogram results for the
-              analysis of EES. All materials defined in the model are pooled for this
-              histogram (i.e., cortical bone and trabecular bone), and it is the basis for
-              determining the EES at the critical volume used for the failure load
-              calculation. It is important to note that the user has the option to
-              pre-define a material that is to be excluded from the failure load analysis,
-              and that excluded material is reported at the top of the table (<code>Excluded
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="n88postfaim_pistoia_failure_load">8.3. Pistoia Failure Load Estimate</h3>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>The failure load for a linear elastic model is based on the work by Dr. Walter Pistoia
+(<a href="#pistoia2001a">Pistoia 2001a</a> and <a href="#pistoia2001b">2001b</a>). Numerics88 provides a
+tool, <a href="#n88pistoia">n88pistoia</a> that can be used to carry out these calculations. In
+general, <strong>it is more accurate and preferable to solve an elastoplastic
+model in order to obtain failure loads</strong>. However, we include the Pistoia tool, mostly for those
+who wish to compare current data to older results on which a Pistoia analysis was done.</p>
+</div>
+<div class="paragraph">
+<p>The basic principal is that failure
+load is defined as the load at which a pre-defined volume of tissue (percentage critical
+volume) exceeds a pre-defined Energy Equivalent Strain (critical EES). Typical
+values are 2.0% and 0.007, respectively. It should be noted that the so-called
+Pistoia criterion is not a standard failure criteria used in classical
+mechanics of materials; however, it has been extensively validated with experimental
+testing of cadaver bones, and it is the most widely used and accepted
+criterion for image-based linear FE modelling.</p>
+</div>
+<div class="paragraph">
+<p>The <em>first</em> sub-table contains the failure load information (the sub-table is
+denoted by a series of horizontal dots). The calculation of the failure load
+requires post-processing the EES for each element of the solved linear FE
+model. After ordering the EES in a histogram, the actual strain at the
+critical volume threshold (e.g., 2%) is determined and reported in the table
+as <code>EES at vol_crit</code>. As this is a linear FE model, a scale-factor for this
+EES can be determined relative to the critical EES, and this is captured in
+a defined factor. A table of factors is provided at the bottom of the Pistoia Failure Load Estimate table, and the
+factor associated with the defined critical volume and critical EES is
+reported specifically in this first sub-table (other values of critical volume
+and critical EES could be applied if necessary using the alternative table
+factors). Knowing the total reaction force of the solved model (usually <code>RFz</code>) and the
+actual EES value at the critical volume, a linear factor can be applied to
+estimate the failure load: <code>failure load = RFz &#215; factor</code> .</p>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+Although a similar process can be applied to determine the torsional
+failure load (and is reported as torsional failure load) there have not been
+any experimental validations of this technique published to date. It is not
+recommended to use the reported torsional failure load until experimental
+validation is completed. Nevertheless, it is provided here for the users’
+convenience.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>The <em>second</em> sub-table contains a summary of the axial and torsional stiffness
+values, and these are identical to the previous corresponding tables. For
+example, <code>RFz</code> from node set 1 has already been reported in
+<a href="#n88postfaim_nodal_forces">Nodal Forces</a> as total <code>F_z_</code>. They are reported
+again in this table for convenience.</p>
+</div>
+<div class="admonitionblock important">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/important.png" alt="Important">
+</td>
+<td class="content">
+All failure loads are calculated assuming that
+axial compression or torsion was applied along the <code>z</code>-axis in the Data Frame.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>The <em>third</em> sub-table contains a summary of the histogram results for the
+analysis of EES. All materials defined in the model are pooled for this
+histogram (i.e., cortical bone and trabecular bone), and it is the basis for
+determining the EES at the critical volume used for the failure load
+calculation. It is important to note that the user has the option to
+pre-define a material that is to be excluded from the failure load analysis,
+and that excluded material is reported at the top of the table (<code>Excluded
 material id</code>). This is useful, for example, if the FE model contains platens
-              that should not be included in the failure load analysis (i.e., the failure
-              load of the platens are not of interest).</p>
-          </div>
-          <div class="paragraph">
-            <p>The <em>fourth</em> sub-table contains a summary of the number of elements that exceed
-              critical EES, and is broken down by material definition. This information
-              allows the user to determine, for example, whether failure was based on
-              cortical bone versus trabecular bone.</p>
-          </div>
-          <div class="paragraph">
-            <p>The <em>fifth</em> sub-table contains factors that could be used (by user hand
-              calculation) to determine the estimated failure load for different critical
-              volumes or critical EES.</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre> Table 1: Pistoia Failure Load Estimate
+that should not be included in the failure load analysis (i.e., the failure
+load of the platens are not of interest).</p>
+</div>
+<div class="paragraph">
+<p>The <em>fourth</em> sub-table contains a summary of the number of elements that exceed
+critical EES, and is broken down by material definition. This information
+allows the user to determine, for example, whether failure was based on
+cortical bone versus trabecular bone.</p>
+</div>
+<div class="paragraph">
+<p>The <em>fifth</em> sub-table contains factors that could be used (by user hand
+calculation) to determine the estimated failure load for different critical
+volumes or critical EES.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre> Table 1: Pistoia Failure Load Estimate
  -----------------------------------------------------------
  Pistoia Criterion for Energy-Equivalent-Strain (EES)
    (*) Results valid for linear, isotropic model only.
@@ -16056,238 +12924,167 @@ <h3 id="n88postfaim_pistoia_failure_load">8.3. Pistoia Failure Load Estimate</h3
     5.00   1749145 |  0.4444E+00  0.5333E+00  0.6222E+00  0.7111E+00  0.8000E+00
     6.00   2098974 |  0.4582E+00  0.5498E+00  0.6414E+00  0.7331E+00  0.8247E+00
     7.00   2448803 |  0.4703E+00  0.5644E+00  0.6585E+00  0.7525E+00  0.8466E+00</pre>
-            </div>
-          </div>
-          <div class="colist arabic">
-            <table>
-              <tr>
-                <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                <td>Estimated failure load of the bone in uniaxial compression, given the critical volume of 2% and
-                  critical EES of 0.0070.</td>
-              </tr>
-              <tr>
-                <td><img src="./images/icons/callouts/2.png" alt="2"></td>
-                <td>Calculated based on the total Fz (also termed RFz) of node set 1 divided by the average displacement
-                  Uz of the surface defined by node set 1.</td>
-              </tr>
-              <tr>
-                <td><img src="./images/icons/callouts/3.png" alt="3"></td>
-                <td>Calculated based on the total Tz of node set 1 divided by the average displacement Uz of the surface
-                  defined by node set 1.</td>
-              </tr>
-              <tr>
-                <td><img src="./images/icons/callouts/4.png" alt="4"></td>
-                <td>Indicates that approximately 79% of the failed voxels comprising the 2% critical volume were in the
-                  trabecular tissue, while only 21% were in the cortical tissue.</td>
-              </tr>
-            </table>
-          </div>
-        </div>
-      </div>
-    </div>
-    <div class="sect1">
-      <h2 id="_command_reference">9. Command Reference</h2>
-      <div class="sectionbody">
-        <table class="tableblock frame-all grid-all stretch">
-          <caption class="title">Table 7. List of Faim command-line programs</caption>
-          <colgroup>
-            <col style="width: 28.5714%;">
-            <col style="width: 71.4286%;">
-          </colgroup>
-          <thead>
-            <tr>
-              <th class="tableblock halign-left valign-top">Module      </th>
-              <th class="tableblock halign-left valign-top">Description</th>
-            </tr>
-          </thead>
-          <tbody>
-            <tr>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock"> <a href="#faim">faim</a></p>
-              </td>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock">Convenience utility that calls <a href="#n88solver">n88solver</a>,
-                  <a href="#n88derivedfields">n88derivedfields</a> and <a href="#n88postfaim">n88postfaim</a>
-                  in sequence.
-                </p>
-              </td>
-            </tr>
-            <tr>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock"> <a href="#n88coarsen">n88coarsen</a></p>
-              </td>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock">Reduce the size of finite element models so that an approximate solution can be
-                  obtained quicker and with less memory.</p>
-              </td>
-            </tr>
-            <tr>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock"> <a href="#n88copymodel">n88copymodel</a></p>
-              </td>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock">Copy, convert or compress a finite element model file.</p>
-              </td>
-            </tr>
-            <tr>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock"> <a href="#n88compress">n88compress</a></p>
-              </td>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock">Compress a finite element model file in-place.</p>
-              </td>
-            </tr>
-            <tr>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock"><a href="#n88derivedfields">n88derivedfields</a></p>
-              </td>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock">Calculate additional field values (forces, stress, strain, etc) that are
-                  not generated by n88solver.</p>
-              </td>
-            </tr>
-            <tr>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock"><a href="#n88directmechanics">n88directmechanics</a></p>
-              </td>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock">Perform <em>direct mechanics</em> calculations.</p>
-              </td>
-            </tr>
-            <tr>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock"><a href="#n88evaluate">88evaluate</a></p>
-              </td>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock">Calculate some values that indicate the correctness of the solution.</p>
-              </td>
-            </tr>
-            <tr>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock"><a href="#n88extractfields">n88extractfields</a></p>
-              </td>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock">Extracts specified solution fields as tabular text data.</p>
-              </td>
-            </tr>
-            <tr>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock"><a href="#n88extractsets">n88extractsets</a></p>
-              </td>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock">Extract node sets, element sets and constraint sets and write them to VTK
-                  PolyData (<code>.vtp</code>) files.</p>
-              </td>
-            </tr>
-            <tr>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock"> <a href="#n88interpolatesolution">n88interpolatesolution</a></p>
-              </td>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock">Copies and interpolates a solution from a solved reduced-resolution n88model
-                  file, produced using n88coarsen, into the original n88model file.</p>
-              </td>
-            </tr>
-            <tr>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock"><a href="#n88modelgenerator">n88modelgenerator</a></p>
-              </td>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock"> Generate a finite element model from a segmented 3D image.</p>
-              </td>
-            </tr>
-            <tr>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock"><a href="#n88modelinfo">n88modelinfo</a></p>
-              </td>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock">Print summary information for a Numerics88 FE model file.</p>
-              </td>
-            </tr>
-            <tr>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock"><a href="#n88pistoia">n88pistoia</a></p>
-              </td>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock">Estimate failure loads from a linear model.</p>
-              </td>
-            </tr>
-            <tr>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock"><a href="#n88postfaim">n88postfaim</a></p>
-              </td>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock">Generate tables of standard post-processing quantities.</p>
-              </td>
-            </tr>
-            <tr>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock"><a href="#n88solver">n88solver (_slt, _sla and _spt)</a></p>
-              </td>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock">Solvers suitable for small-strain models with linear elastic material definitions
-                  (_el) or with non-linear elastoplastic material definitions (_ep).</p>
-              </td>
-            </tr>
-            <tr>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock"><a href="#n88tabulate">n88tabulate</a></p>
-              </td>
-              <td class="tableblock halign-left valign-top">
-                <p class="tableblock">Tabulate values from <a href="#n88postfaim">n88postfaim</a> output files for
-                  importing
-                  into a spreadsheet.</p>
-              </td>
-            </tr>
-          </tbody>
-        </table>
-        <div class="sect2">
-          <h3 id="faim">9.1. faim</h3>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <div class="paragraph">
-            <p>A convenience utility that calls <a href="#n88solver">n88solver</a>,
-              <a href="#n88derivedfields">n88derivedfields</a> and <a href="#n88postfaim">n88postfaim</a> in
-              sequence on the specified model file.
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The analysis file produced by n88postfaim will be named after the input file,
-              with "_analysis.txt" replacing the extension of the input file.</p>
-          </div>
-          <div class="paragraph">
-            <p>The most appropriate solver for your input model will be used.</p>
-          </div>
-          <div class="ulist">
-            <ul>
-              <li>
-                <p>If your model contains elastoplastic material definitions, <code>n88solver_spt</code>
-                  will be used.</p>
-              </li>
-              <li>
-                <p>If your model contains exactly one material array with length equal to
-                  the number of elements, <code>n88solver_sla</code> will be used.</p>
-              </li>
-              <li>
-                <p>In all other cases, <code>n88solver_slt</code> will be used.</p>
-              </li>
-            </ul>
-          </div>
-          <div class="paragraph">
-            <p>The analysis file produced by n88postfaim will be named after the input
-              file, with &#8220;_analysis.txt&#8221; replacing the extension of the input file.</p>
-          </div>
-          <div class="paragraph">
-            <p>The command line arguments of faim are listed below. As they are passed
-              through to the programs doing the work, they are grouped by program
-              that they are passed to. In each case the options are identical to those
-              of the program doing the work.</p>
-          </div>
-          <div class="literalblock">
-            <div class="title">Arguments passed to n88solver</div>
-            <div class="content">
-              <pre>convergence_measure
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>Estimated failure load of the bone in uniaxial compression, given the critical volume of 2% and critical EES of 0.0070.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/2.png" alt="2"></td>
+<td>Calculated based on the total Fz (also termed RFz) of node set 1 divided by the average displacement Uz of the surface defined by node set 1.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/3.png" alt="3"></td>
+<td>Calculated based on the total Tz of node set 1 divided by the average displacement Uz of the surface defined by node set 1.</td>
+</tr>
+<tr>
+<td><img src="./images/icons/callouts/4.png" alt="4"></td>
+<td>Indicates that approximately 79% of the failed voxels comprising the 2% critical volume were in the trabecular tissue, while only 21% were in the cortical tissue.</td>
+</tr>
+</table>
+</div>
+</div>
+</div>
+</div>
+<div class="sect1">
+<h2 id="_command_reference">9. Command Reference</h2>
+<div class="sectionbody">
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 7. List of Faim command-line programs</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Module      </th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"> <a href="#faim">faim</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Convenience utility that calls <a href="#n88solver">n88solver</a>,
+  <a href="#n88derivedfields">n88derivedfields</a> and <a href="#n88postfaim">n88postfaim</a>
+  in sequence.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"> <a href="#n88coarsen">n88coarsen</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Reduce the size of finite element models so that an approximate solution can be
+  obtained quicker and with less memory.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"> <a href="#n88copymodel">n88copymodel</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Copy, convert or compress a finite element model file.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"> <a href="#n88compress">n88compress</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Compress a finite element model file in-place.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="#n88derivedfields">n88derivedfields</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Calculate additional field values (forces, stress, strain, etc) that are
+  not generated by n88solver.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="#n88directmechanics">n88directmechanics</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Perform <em>direct mechanics</em> calculations.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="#n88evaluate">88evaluate</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Calculate some values that indicate the correctness of the solution.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="#n88extractfields">n88extractfields</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Extracts specified solution fields as tabular text data.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="#n88extractsets">n88extractsets</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Extract node sets, element sets and constraint sets and write them to VTK
+  PolyData (<code>.vtp</code>) files.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"> <a href="#n88interpolatesolution">n88interpolatesolution</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Copies and interpolates a solution from a solved reduced-resolution n88model
+  file, produced using n88coarsen, into the original n88model file.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="#n88modelgenerator">n88modelgenerator</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock"> Generate a finite element model from a segmented 3D image.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="#n88modelinfo">n88modelinfo</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Print summary information for a Numerics88 FE model file.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="#n88pistoia">n88pistoia</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Estimate failure loads from a linear model.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="#n88postfaim">n88postfaim</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Generate tables of standard post-processing quantities.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="#n88solver">n88solver (_slt, _sla and _spt)</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Solvers suitable for small-strain models with linear elastic material definitions
+  (_el) or with non-linear elastoplastic material definitions (_ep).</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a href="#n88tabulate">n88tabulate</a></p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Tabulate values from <a href="#n88postfaim">n88postfaim</a> output files for importing
+  into a spreadsheet.</p></td>
+</tr>
+</tbody>
+</table>
+<div class="sect2">
+<h3 id="faim">9.1. faim</h3>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>A convenience utility that calls <a href="#n88solver">n88solver</a>,
+<a href="#n88derivedfields">n88derivedfields</a> and <a href="#n88postfaim">n88postfaim</a> in
+sequence on the specified model file.</p>
+</div>
+<div class="paragraph">
+<p>The analysis file produced by n88postfaim will be named after the input file,
+with "_analysis.txt" replacing the extension of the input file.</p>
+</div>
+<div class="paragraph">
+<p>The most appropriate solver for your input model will be used.</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p>If your model contains elastoplastic material definitions, <code>n88solver_spt</code>
+will be used.</p>
+</li>
+<li>
+<p>If your model contains exactly one material array with length equal to
+the number of elements, <code>n88solver_sla</code> will be used.</p>
+</li>
+<li>
+<p>In all other cases, <code>n88solver_slt</code> will be used.</p>
+</li>
+</ul>
+</div>
+<div class="paragraph">
+<p>The analysis file produced by n88postfaim will be named after the input
+file, with &#8220;_analysis.txt&#8221; replacing the extension of the input file.</p>
+</div>
+<div class="paragraph">
+<p>The command line arguments of faim are listed below.  As they are passed
+through to the programs doing the work, they are grouped by program
+that they are passed to.  In each case the options are identical to those
+of the program doing the work.</p>
+</div>
+<div class="literalblock">
+<div class="title">Arguments passed to n88solver</div>
+<div class="content">
+<pre>convergence_measure
 convergence_tolerance
 device
 engine
@@ -16299,444 +13096,396 @@ <h3 id="faim">9.1. faim</h3>
 threads
 threshold_window
 plastic_threshold_window</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>For details, refer to <a href="#n88solver">n88solver</a>.</p>
-          </div>
-          <div class="literalblock">
-            <div class="title">Arguments passed to n88derivedfields</div>
-            <div class="content">
-              <pre>device
+</div>
+</div>
+<div class="paragraph">
+<p>For details, refer to <a href="#n88solver">n88solver</a>.</p>
+</div>
+<div class="literalblock">
+<div class="title">Arguments passed to n88derivedfields</div>
+<div class="content">
+<pre>device
 engine
 quiet
 threads</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>For details, refer to <a href="#n88derivedfields">n88derivedfields</a>.</p>
-          </div>
-          <div class="literalblock">
-            <div class="title">Arguments passed to n88postfaim</div>
-            <div class="content">
-              <pre>element_sets
+</div>
+</div>
+<div class="paragraph">
+<p>For details, refer to <a href="#n88derivedfields">n88derivedfields</a>.</p>
+</div>
+<div class="literalblock">
+<div class="title">Arguments passed to n88postfaim</div>
+<div class="content">
+<pre>element_sets
 node_sets
 quiet
 rotation_center</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>For details, refer to <a href="#n88postfaim">n88postfaim</a>.</p>
-          </div>
-          <table id="faim_arguments" class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 8. faim arguments not passed to any program</caption>
-            <colgroup>
-              <col style="width: 33.3333%;">
-              <col style="width: 66.6667%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Option</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">-h, --help</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Show help and exit.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--use_coarsen</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Generate a coarsened model if possible to
-                    calculate an initial estimate of the solution.
-                    For certain models, this may speed-up finding the final solution.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--no_post</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Do not run the postprocessor.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-        </div>
-        <div class="sect2">
-          <h3 id="n88coarsen">9.2. n88coarsen</h3>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <div id="n88coarsen_description" class="paragraph">
-            <div class="title">Description</div>
-            <p>This tool is used to reduce the size of finite element models so that an
-              approximate solution can be obtained quickly and with less memory. It
-              operates either directly on FE models, or on segmented image data.</p>
-          </div>
-          <div id="n88coarsen_usage" class="listingblock">
-            <div class="title">Usage</div>
-            <div class="content">
-              <pre>n88coarsen [-h] [--material_averaging {linear,homminga_density}]
+</div>
+</div>
+<div class="paragraph">
+<p>For details, refer to <a href="#n88postfaim">n88postfaim</a>.</p>
+</div>
+<table id="faim_arguments" class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 8. faim arguments not passed to any program</caption>
+<colgroup>
+<col style="width: 33.3333%;">
+<col style="width: 66.6667%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Option</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">-h, --help</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Show help and exit.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--use_coarsen</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Generate a coarsened model if possible to
+		    calculate an initial estimate of the solution.
+		    For certain models, this may speed-up finding the final solution.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--no_post</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Do not run the postprocessor.</p></td>
+</tr>
+</tbody>
+</table>
+</div>
+<div class="sect2">
+<h3 id="n88coarsen">9.2. n88coarsen</h3>
+<div class="paragraph">
+<p></p>
+</div>
+<div id="n88coarsen_description" class="paragraph">
+<div class="title">Description</div>
+<p>This tool is used to reduce the size of finite element models so that an
+approximate solution can be obtained quickly and with less memory. It
+operates either directly on FE models, or on segmented image data.</p>
+</div>
+<div id="n88coarsen_usage" class="listingblock">
+<div class="title">Usage</div>
+<div class="content">
+<pre>n88coarsen [-h] [--material_averaging {linear,homminga_density}]
                   input_file output_file</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>When operating on n88model files, it will increase the size of elements by a
-              factor of 2 in each dimension (thus a factor of 8 in volume), resulting in
-              fewer larger elements. The output model is coarser: the coarsening is always
-              done by adding volume to make larger elements, never by removing material, so
-              that as compared with the input model, the output model always has greater or
-              equal volume. Material properties are averaged over all the input elements
-              corresponding to each output element. Empty space is treated as having
-              identically zero stiffness, wherever empty space in the input is encompassed
-              within an output element. All essential features of the model, including
-              boundary conditions, applied forces, and post-processing sets, are translated
-              to the new coarser mesh.</p>
-          </div>
-          <div class="paragraph">
-            <p>When the input is an image, the resolution is reduced by exactly 1/2 in each
-              linear dimension. Each 2x2x2 cube in the input becomes a single voxel in the
-              output, with value equal to the maximum in the corresponding input 2x2x2.
-              This operation does not average input values, since it does not make any
-              sense to average segmentation values, which are just labels. Instead, it
-              takes the maximum value over all the input voxels corresponding to an output
-              voxel. This is a somewhat arbitrary choice. For this reason it is preferable
-              to use <code>n88coarsen</code> directly on <code>n88model</code> files, where material averaging is
-              possible.</p>
-          </div>
-          <div id="n88coarsen_usage_input_formats" class="ulist">
-            <div class="title">Supported input formats</div>
-            <ul>
-              <li>
-                <p>Numerics88 model file (.n88model)</p>
-              </li>
-              <li>
-                <p>DICOM (a directory)</p>
-              </li>
-              <li>
-                <p>Scanco AIM (.aim)</p>
-              </li>
-              <li>
-                <p>MetaImage (.mha or .mhd)</p>
-              </li>
-              <li>
-                <p>VTK XML ImageData (.vti)</p>
-              </li>
-            </ul>
-          </div>
-          <div id="n88coarsen_usage_output_formats" class="ulist">
-            <div class="title">Supported output formats</div>
-            <ul>
-              <li>
-                <p>Numerics88 model file (.n88model). If the input is an n88model file.</p>
-              </li>
-              <li>
-                <p>VTK XML ImageData (.vti). If the input is an image.</p>
-              </li>
-            </ul>
-          </div>
-          <table id="n88coarsen_arguments" class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 9. n88coarsen optional arguments</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Option</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">-h, --help</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Show help and exit.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--material_averaging</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Determine how the material averaging is done. If
-                    <code>linear</code>, then stress-strain matrices will be linearly
-                    averaged. If <code>homminga_density</code>, then the stress-
-                    strain matrices are first scaled to a density using
-                    the Homminga formula (i.e. raised to the power 1/1.7),
-                    then averaged, then converted back the stiffness by
-                    raising to the power 1.7. <code>homminga_density</code> nearly
-                    always gives more accurate approximations than
-                    <code>linear</code>.
-                  </p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-        </div>
-        <div class="sect2">
-          <h3 id="n88copymodel">9.3. n88copymodel</h3>
-          <div class="paragraph">
-            <p>
-
-
-
-
-
-
-            </p>
-          </div>
-          <div id="n88copymodel_description" class="paragraph">
-            <div class="title">Description</div>
-            <p>Copy, convert or compress a finite element model file.</p>
-          </div>
-          <div id="n88copymodel_usage" class="listingblock">
-            <div class="title">Usage</div>
-            <div class="content">
-              <pre>n88copymodel [-h] [--compress] input [input2] output</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>File formats are automatically identified by their extensions. Ambiguous input file
-              extensions are resolved by examining the file.</p>
-          </div>
-          <div class="paragraph">
-            <p>Two input files are allowed if the first is a FAIM version 5 input file (<code>.inp</code>),
-              and the second is a FAIM version 5 output file (<code>.dat</code>). This will create
-              a complete, solved <code>n88model</code> file. Either <code>.inp</code> or <code>.dat</code> can also be
-              converted individually,
-              but in the case of <code>.dat</code> files, the resulting <code>n88model</code> file will be incomplete,
-              as the <code>.dat</code> file alone does not contain either material definitions or
-              constraints; however, it can be rendered and processed by <code>n88postfaim</code>, but not re-solved.</p>
-          </div>
-          <div id="n88copymodel_input_formats" class="ulist">
-            <div class="title">Supported input formats</div>
-            <ul>
-              <li>
-                <p>Numerics88 model file (.n88model)</p>
-              </li>
-              <li>
-                <p>Abaqus input file (.inp)</p>
-              </li>
-              <li>
-                <p>Faim version 5 input file (.inp)</p>
-              </li>
-              <li>
-                <p>Faim version 5 output file (.dat)</p>
-              </li>
-            </ul>
-          </div>
-          <div id="n88copymodel_output_formats" class="ulist">
-            <div class="title">Supported output formats</div>
-            <ul>
-              <li>
-                <p>Numerics88 model file (.n88model)</p>
-              </li>
-              <li>
-                <p>Abaqus input file (.inp)</p>
-              </li>
-              <li>
-                <p>VTK XML Unstructured Grid file (.vtu)</p>
-              </li>
-            </ul>
-          </div>
-          <div class="admonitionblock tip">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/tip.png" alt="Tip">
-                </td>
-                <td class="content">
-                  VTK XML Unstructured Grid files can be read be and rendered by ParaView,
-                  even without the Numerics88 plugins. They include the complete geometry,
-                  plus any solution fields, but lack any constraint or material information.
-                </td>
-              </tr>
-            </table>
-          </div>
-          <table id="n88copymodel_arguments" class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 10. n88copymodel optional arguments</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Option</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">-h, --help</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Show help and exit.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--compress, -c</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Use compression when writing the output file if the file
-                    format supports it. Compressed <code>n88model</code> files do not need
-                    to be uncompressed in order to use them: they can be
-                    used in all cases exactly like uncompressed files. Compressed files
-                    may be slower to read, and are particularly slower to write.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div class="admonitionblock note">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/note.png" alt="Note">
-                </td>
-                <td class="content">
-                  If you compress an <code>n88model</code> file, and then run either <code>n88solver</code>
-                  or <code>n88derivedfields</code> on it, it will end up in a mixed state, where the
-                  original data is compressed, but the new data added by <code>n88solver</code>
-                  or <code>n88derivedfields</code> is uncompressed. There is nothing wrong with this as
-                  the file is still completely valid and useable. However, usually if
-                  compression is important, one wants the entire file data compressed.
-                  Therefore, we recommend not compressing the file until you have completed
-                  all the normal processing steps on it. It is of course possible to
-                  convert a partially compressed <code>n88model</code> file to a fully compressed
-                  <code>n88model</code> file by running <code>n88copymodel</code> or <code>n88compress</code> on it
-                  again.
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>See also the section <a href="#converting_version_5_file_formats">Converting Faim version 5 file
-                formats</a>.</p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="n88compress">9.4. n88compress</h3>
-          <div class="paragraph">
-            <p>
-            </p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>n88compress FILENAME</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>is an alias for</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>n88copymodel --compress FILENAME FILENAME</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>Refer to the documentation for <a href="#n88copymodel">n88copymodel</a>.</p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="n88derivedfields">9.5. n88derivedfields</h3>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <div id="n88derivedfields_description" class="paragraph">
-            <div class="title">Description</div>
-            <p>Calculates additional field values (forces, stress, strain, etc) that are
-              not generated by <a href="#n88solver">n88solver</a>.</p>
-          </div>
-          <div class="paragraph">
-            <p>For discussion of use, see the <a href="#using_n88derivedfields">section on using n88derivedfields</a>
-              in the Post-processing chapter.</p>
-          </div>
-          <div id="n88derivedfields_usage" class="listingblock">
-            <div class="title">Usage</div>
-            <div class="content">
-              <pre>n88derivedfields [options] input_file</pre>
-            </div>
-          </div>
-          <div id="n88derivedfields_arguments" class="paragraph">
-            <div class="title">Arguments</div>
-            <p></p>
-          </div>
-          <table id="n88derivedfields_option_list" class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 11. n88derivedfields arguments</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Argument</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--help [-h]</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Print help and exit.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--version[-v]</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Print version information.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--quiet [-q]</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Suppress output to terminal (except for error messages).</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--precision arg (=single)</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Set the floating point precision used.
-                    Values: single, mixed, double.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-        </div>
-        <div class="sect2">
-          <h3 id="n88directmechanics">9.6. n88directmechanics</h3>
-          <div class="paragraph">
-            <p>
-            </p>
-          </div>
-          <div id="n88directmechanics_description" class="paragraph">
-            <div class="title">Description</div>
-            <p>Perform direct mechanics calculations. See <a href="#direct_mechanics">Direct Mechanics</a> in the
-              Special Topics chapter.</p>
-          </div>
-          <div id="n88directmechanics_usage" class="listingblock">
-            <div class="title">Usage</div>
-            <div class="content">
-              <pre>n88directmechanics [-h] [-c FILE] [--generate] [--solve] [--analyze]
+</div>
+</div>
+<div class="paragraph">
+<p>When operating on n88model files, it will increase the size of elements by a
+factor of 2 in each dimension (thus a factor of 8 in volume), resulting in
+fewer larger elements. The output model is coarser: the coarsening is always
+done by adding volume to make larger elements, never by removing material, so
+that as compared with the input model, the output model always has greater or
+equal volume. Material properties are averaged over all the input elements
+corresponding to each output element. Empty space is treated as having
+identically zero stiffness, wherever empty space in the input is encompassed
+within an output element. All essential features of the model, including
+boundary conditions, applied forces, and post-processing sets, are translated
+to the new coarser mesh.</p>
+</div>
+<div class="paragraph">
+<p>When the input is an image, the resolution is reduced by exactly 1/2 in each
+linear dimension. Each 2x2x2 cube in the input becomes a single voxel in the
+output, with value equal to the maximum in the corresponding input 2x2x2.
+This operation does not average input values, since it does not make any
+sense to average segmentation values, which are just labels. Instead, it
+takes the maximum value over all the input voxels corresponding to an output
+voxel. This is a somewhat arbitrary choice. For this reason it is preferable
+to use <code>n88coarsen</code> directly on <code>n88model</code> files, where material averaging is
+possible.</p>
+</div>
+<div id="n88coarsen_usage_input_formats" class="ulist">
+<div class="title">Supported input formats</div>
+<ul>
+<li>
+<p>Numerics88 model file (.n88model)</p>
+</li>
+<li>
+<p>DICOM (a directory)</p>
+</li>
+<li>
+<p>Scanco AIM (.aim)</p>
+</li>
+<li>
+<p>MetaImage (.mha or .mhd)</p>
+</li>
+<li>
+<p>VTK XML ImageData (.vti)</p>
+</li>
+</ul>
+</div>
+<div id="n88coarsen_usage_output_formats" class="ulist">
+<div class="title">Supported output formats</div>
+<ul>
+<li>
+<p>Numerics88 model file (.n88model). If the input is an n88model file.</p>
+</li>
+<li>
+<p>VTK XML ImageData (.vti). If the input is an image.</p>
+</li>
+</ul>
+</div>
+<table id="n88coarsen_arguments" class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 9. n88coarsen optional arguments</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Option</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">-h, --help</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Show help and exit.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--material_averaging</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Determine how the material averaging is done. If
+                        <code>linear</code>, then stress-strain matrices will be linearly
+                        averaged. If <code>homminga_density</code>, then the stress-
+                        strain matrices are first scaled to a density using
+                        the Homminga formula (i.e. raised to the power 1/1.7),
+                        then averaged, then converted back the stiffness by
+                        raising to the power 1.7. <code>homminga_density</code> nearly
+                        always gives more accurate approximations than
+                        <code>linear</code>.</p></td>
+</tr>
+</tbody>
+</table>
+</div>
+<div class="sect2">
+<h3 id="n88copymodel">9.3. n88copymodel</h3>
+<div class="paragraph">
+<p>
+
+
+
+
+
+
+</p>
+</div>
+<div id="n88copymodel_description" class="paragraph">
+<div class="title">Description</div>
+<p>Copy, convert or compress a finite element model file.</p>
+</div>
+<div id="n88copymodel_usage" class="listingblock">
+<div class="title">Usage</div>
+<div class="content">
+<pre>n88copymodel [-h] [--compress] input [input2] output</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>File formats are automatically identified by their extensions.  Ambiguous input file
+extensions are resolved by examining the file.</p>
+</div>
+<div class="paragraph">
+<p>Two input files are allowed if the first is a FAIM version 5 input file (<code>.inp</code>),
+and the second is a FAIM version 5 output file (<code>.dat</code>).  This will create
+a complete, solved <code>n88model</code> file.  Either <code>.inp</code> or <code>.dat</code> can also be converted individually,
+but in the case of <code>.dat</code> files, the resulting <code>n88model</code> file will be incomplete,
+as the <code>.dat</code> file alone does not contain either material definitions or
+constraints; however, it can be rendered and processed by <code>n88postfaim</code>, but not re-solved.</p>
+</div>
+<div id="n88copymodel_input_formats" class="ulist">
+<div class="title">Supported input formats</div>
+<ul>
+<li>
+<p>Numerics88 model file (.n88model)</p>
+</li>
+<li>
+<p>Abaqus input file (.inp)</p>
+</li>
+<li>
+<p>Faim version 5 input file (.inp)</p>
+</li>
+<li>
+<p>Faim version 5 output file (.dat)</p>
+</li>
+</ul>
+</div>
+<div id="n88copymodel_output_formats" class="ulist">
+<div class="title">Supported output formats</div>
+<ul>
+<li>
+<p>Numerics88 model file (.n88model)</p>
+</li>
+<li>
+<p>Abaqus input file (.inp)</p>
+</li>
+<li>
+<p>VTK XML Unstructured Grid file (.vtu)</p>
+</li>
+</ul>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+VTK XML Unstructured Grid files can be read be and rendered by ParaView,
+even without the Numerics88 plugins.  They include the complete geometry,
+plus any solution fields, but lack any constraint or material information.
+</td>
+</tr>
+</table>
+</div>
+<table id="n88copymodel_arguments" class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 10. n88copymodel optional arguments</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Option</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">-h, --help</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Show help and exit.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--compress, -c</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Use compression when writing the output file if the file
+                  format supports it.  Compressed <code>n88model</code> files do not need
+                  to be uncompressed in order to use them: they can be
+                  used in all cases exactly like uncompressed files.  Compressed files
+                  may be slower to read, and are particularly slower to write.</p></td>
+</tr>
+</tbody>
+</table>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+If you compress an <code>n88model</code> file, and then run either <code>n88solver</code>
+or <code>n88derivedfields</code> on it, it will end up in a mixed state, where the
+original data is compressed, but the new data added by <code>n88solver</code>
+or <code>n88derivedfields</code> is uncompressed.  There is nothing wrong with this as
+the file is still completely valid and useable.  However, usually if
+compression is important, one wants the entire file data compressed.
+Therefore, we recommend not compressing the file until you have completed
+all the normal processing steps on it.  It is of course possible to
+convert a partially compressed <code>n88model</code> file to a fully compressed
+<code>n88model</code> file by running <code>n88copymodel</code> or <code>n88compress</code> on it again.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>See also the section <a href="#converting_version_5_file_formats">Converting Faim version 5 file formats</a>.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="n88compress">9.4. n88compress</h3>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88compress FILENAME</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>is an alias for</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88copymodel --compress FILENAME FILENAME</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>Refer to the documentation for <a href="#n88copymodel">n88copymodel</a>.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="n88derivedfields">9.5. n88derivedfields</h3>
+<div class="paragraph">
+<p></p>
+</div>
+<div id="n88derivedfields_description" class="paragraph">
+<div class="title">Description</div>
+<p>Calculates additional field values (forces, stress, strain, etc) that are
+not generated by <a href="#n88solver">n88solver</a>.</p>
+</div>
+<div class="paragraph">
+<p>For discussion of use, see the <a href="#using_n88derivedfields">section on using n88derivedfields</a>
+in the Post-processing chapter.</p>
+</div>
+<div id="n88derivedfields_usage" class="listingblock">
+<div class="title">Usage</div>
+<div class="content">
+<pre>n88derivedfields [options] input_file</pre>
+</div>
+</div>
+<div id="n88derivedfields_arguments" class="paragraph">
+<div class="title">Arguments</div>
+<p></p>
+</div>
+<table id="n88derivedfields_option_list" class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 11. n88derivedfields arguments</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Argument</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--help [-h]</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Print help and exit.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--version[-v]</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Print version information.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--quiet [-q]</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Suppress output to terminal (except for error messages).</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--precision arg (=single)</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Set the floating point precision used.
+  Values: single, mixed, double.</p></td>
+</tr>
+</tbody>
+</table>
+</div>
+<div class="sect2">
+<h3 id="n88directmechanics">9.6. n88directmechanics</h3>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div id="n88directmechanics_description" class="paragraph">
+<div class="title">Description</div>
+<p>Perform direct mechanics calculations.  See <a href="#direct_mechanics">Direct Mechanics</a> in the
+Special Topics chapter.</p>
+</div>
+<div id="n88directmechanics_usage" class="listingblock">
+<div class="title">Usage</div>
+<div class="content">
+<pre>n88directmechanics [-h] [-c FILE] [--generate] [--solve] [--analyze]
                    [--material_table {homogeneous,homminga}]
                    [--youngs_modulus YOUNGS_MODULUS]
                    [--poissons_ratio POISSONS_RATIO]
@@ -16745,343 +13494,283 @@ <h3 id="n88directmechanics">9.6. n88directmechanics</h3>
                    [--homminga_modulus_exponent HOMMINGA_MODULUS_EXPONENT]
                    [--connectivity_filter {on,off}]
                    input_file</pre>
-            </div>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 12. n88directmechanics input arguments</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Option</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">input_file</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">An image file with segmented
+</div>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 12. n88directmechanics input arguments</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Option</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">input_file</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">An image file with segmented
                     data. Note
                     that the file name of the original image file should
                     be used even when the only action is <code>--solve</code> and/or
                     <code>--analyze</code>; the n88model file names will be derived
-                    from the image file name. Supported input formats:
-                  </p>
-                  <p class="tableblock">- DICOM (a directory)</p>
-                  <p class="tableblock">- Scanco AIM (.aim)</p>
-                  <p class="tableblock">- MetaImage (.mha or .mhd)</p>
-                  <p class="tableblock">- VTK XML ImageData (.vti)</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 13. n88directmechanics action arguments</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Option</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--generate</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Generate models. (Generates 6 n88model files.)</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--solve</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Solve models. (n88model files are updated with solutions.)</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--analyze</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Perform direct mechanics analysis on solved files.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div class="paragraph">
-            <p>Multiple action arguments may be specified. If no action argument is
-              specified, it is equivalent to specifying them all.</p>
-          </div>
-          <div id="n88directmechanics_material_specification_arguments" class="literalblock">
-            <div class="title">n88directmechanics material specification arguments</div>
-            <div class="content">
-              <pre>material_table
+                    from the image file name. Supported input formats:</p>
+<p class="tableblock">- DICOM (a directory)</p>
+<p class="tableblock">- Scanco AIM (.aim)</p>
+<p class="tableblock">- MetaImage (.mha or .mhd)</p>
+<p class="tableblock">- VTK XML ImageData (.vti)</p></td>
+</tr>
+</tbody>
+</table>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 13. n88directmechanics action arguments</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Option</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--generate</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Generate models. (Generates 6 n88model files.)</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--solve</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Solve models. (n88model files are updated with solutions.)</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--analyze</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Perform direct mechanics analysis on solved files.</p></td>
+</tr>
+</tbody>
+</table>
+<div class="paragraph">
+<p>Multiple action arguments may be specified. If no action argument is
+specified, it is equivalent to specifying them all.</p>
+</div>
+<div id="n88directmechanics_material_specification_arguments" class="literalblock">
+<div class="title">n88directmechanics material specification arguments</div>
+<div class="content">
+<pre>material_table
 youngs_modulus
 poissons_ratio
 orthotropic_parameters
 homminga_maximum_material_id
 homminga_modulus_exponent</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>These arguments are identical to the equivalent arguments of
-              <a href="#n88modelgenerator">n88modelgenerator</a>. See <a
-                href="#n88modelgenerator_material_arguments">Material specification parameters</a>.
-            </p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 14. n88directmechanics optional arguments</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Option</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">-h, --help</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Show help and exit.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">-c FILE, --config FILE</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify a configuration file. The configuration file
-                    may specify any arguments that take a value, one per
-                    line, in the format name=value (leave the double dash
-                    "--" off of the argument name). This format is
-                    identical to <a href="#n88modelgenerator">n88modelgenerator</a>.
-                    See <a href="#running_n88modelgenerator">Running n88modelgenerator</a>.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div id="n88directmechanics_additional_parameters" class="literalblock">
-            <div class="title">n88directmechanics additional parameters</div>
-            <div class="content">
-              <pre>connectivity_filter
+</div>
+</div>
+<div class="paragraph">
+<p>These arguments are identical to the equivalent arguments of
+<a href="#n88modelgenerator">n88modelgenerator</a>.  See <a href="#n88modelgenerator_material_arguments">Material specification parameters</a>.</p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 14. n88directmechanics optional arguments</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Option</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">-h, --help</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Show help and exit.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">-c FILE, --config FILE</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify a configuration file. The configuration file
+     may specify any arguments that take a value, one per
+     line, in the format name=value (leave the double dash
+     "--" off of the argument name).  This format is
+     identical to <a href="#n88modelgenerator">n88modelgenerator</a>.
+     See <a href="#running_n88modelgenerator">Running n88modelgenerator</a>.</p></td>
+</tr>
+</tbody>
+</table>
+<div id="n88directmechanics_additional_parameters" class="literalblock">
+<div class="title">n88directmechanics additional parameters</div>
+<div class="content">
+<pre>connectivity_filter
 spacing</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>These arguments are identical to the equivalent arguments of
-              <a href="#n88modelgenerator">n88modelgenerator</a>.
-              See <a href="#n88modelgenerator_image_parameters">Input image parameters</a>.
-            </p>
-          </div>
-          <div class="admonitionblock tip">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/tip.png" alt="Tip">
-                </td>
-                <td class="content">
-                  There are no options passed to the solver. If this is required, run
-                  <code>n88directmechanics</code> with the <code>--generate</code> action, then manually run
-                  <a href="#n88solver">n88solver</a> on
-                  each of the resulting <code>n88model</code> files, using the desired solver options, then
-                  run <code>n88directmechanics</code> again with the <code>--analyze</code> action.
-                </td>
-              </tr>
-            </table>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="n88evaluate">9.7. n88evaluate</h3>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <div id="n88evaluate_description" class="paragraph">
-            <div class="title">Description</div>
-            <p>A tool to evaluate the quality of solutions.</p>
-          </div>
-          <div class="paragraph">
-            <p>For discussion of use, see the
-              <a href="#evaluating_solution_quality">section on using evaluating solution quality</a>
-              and the section
-              <a href="#evaluating_nonlinear_solution_quality">section on using evaluating nonlinear solution
-                quality</a>.
-            </p>
-          </div>
-          <div id="n88evaluate_usage" class="listingblock">
-            <div class="title">Usage</div>
-            <div class="content">
-              <pre>n88evaluate [options] input_file</pre>
-            </div>
-          </div>
-          <div id="n88evaluate_arguments" class="paragraph">
-            <div class="title">Arguments</div>
-            <p></p>
-          </div>
-          <table id="n88evaluate_option_list" class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 15. n88evaluate arguments</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Argument</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--help [-h]</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Print help and exit.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--sparse [-s]</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Use sparse matrices for calculation. This is the default, but requires that
-                    scipy be installed.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--dense [-t]</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Use dense matrices for calculation. This does not require scipy to be installed,
-                    but as the memory requirements scale as the square of the number of degrees of
-                    freedom in the problem, this is feasible only for very small problems.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-        </div>
-        <div class="sect2">
-          <h3 id="n88extractfields">9.8. n88extractfields</h3>
-          <div class="paragraph">
-            <p>
-
-
-
-
-            </p>
-          </div>
-          <div id="n88extractfields_description" class="paragraph">
-            <div class="title">Description</div>
-            <p>Extracts specified solution fields as tabular text data.</p>
-          </div>
-          <div id="n88extractfields_usage" class="listingblock">
-            <div class="title">Usage</div>
-            <div class="content">
-              <pre>n88extractfields [-h] [--output_file OUTPUT_FILE] fields input_file</pre>
-            </div>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 16. n88extractfields positional arguments</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Option</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">fields</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">A comma-delimited list of names of solution fields to extract.
-                    May be the name of either a solution node value (<em>e.g.</em>
-                    &#8220;Displacement&#8221;) or a solution element value (<em>e.g.</em> &#8220;Stress&#8221;;
-                    see also
-                    <a href="#n88derivedfields">Calculating additional solution fields with n88derivedfields</a>)
-                    Additionally, &#8220;NodeNumber&#8221;, &#8220;ElementNumber&#8221;, &#8220;MaterialID&#8221;,
-                    &#8220;NodeCoordinates&#8221;,
-                    &#8220;ElementCoordinates&#8221; or &#8220;Topology&#8221; can be specified.
-                    Element coordinates are the centers of the elements. Topology
-                    gives for each element the 8 node numbers of the nodes
-                    constituting the element. The order is as in the <code>n88model</code> file,
-                    refer to the <a href="#n88file_parts">file specification</a>. All fields must be
-                    the same length, which
-                    practically means that they must either be all node values or all
-                    element values.
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">input</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The model file.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 17. n88extractfields optional arguments</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Option</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">-h, --help</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Show help and exit.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--output_file OUTPUT_FILE, -o OUTPUT_FILE</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Output file. If not specified, output will go to
-                    STDOUT.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div id="n88extractfields_examples" class="paragraph">
-            <div class="title">Examples</div>
-            <p>This will extract the displacement values as an N&#215;3 array, where N is
-              the number of nodes:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>$ n88extractfields Displacement mymodel.n88model
+</div>
+</div>
+<div class="paragraph">
+<p>These arguments are identical to the equivalent arguments of
+<a href="#n88modelgenerator">n88modelgenerator</a>.
+See <a href="#n88modelgenerator_image_parameters">Input image parameters</a>.</p>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+There are no options passed to the solver.  If this is required, run
+<code>n88directmechanics</code> with the <code>--generate</code> action, then manually run
+<a href="#n88solver">n88solver</a> on
+each of the resulting <code>n88model</code> files, using the desired solver options, then
+run <code>n88directmechanics</code> again with the <code>--analyze</code> action.
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect2">
+<h3 id="n88evaluate">9.7. n88evaluate</h3>
+<div class="paragraph">
+<p></p>
+</div>
+<div id="n88evaluate_description" class="paragraph">
+<div class="title">Description</div>
+<p>A tool to evaluate the quality of solutions.</p>
+</div>
+<div class="paragraph">
+<p>For discussion of use, see the
+<a href="#evaluating_solution_quality">section on using evaluating solution quality</a>
+and the section
+<a href="#evaluating_nonlinear_solution_quality">section on using evaluating nonlinear solution quality</a>.</p>
+</div>
+<div id="n88evaluate_usage" class="listingblock">
+<div class="title">Usage</div>
+<div class="content">
+<pre>n88evaluate [options] input_file</pre>
+</div>
+</div>
+<div id="n88evaluate_arguments" class="paragraph">
+<div class="title">Arguments</div>
+<p></p>
+</div>
+<table id="n88evaluate_option_list" class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 15. n88evaluate arguments</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Argument</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--help [-h]</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Print help and exit.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--sparse [-s]</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Use sparse matrices for calculation. This is the default, but requires that
+  scipy be installed.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--dense [-t]</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Use dense matrices for calculation. This does not require scipy to be installed,
+  but as the memory requirements scale as the square of the number of degrees of
+  freedom in the problem, this is feasible only for very small problems.</p></td>
+</tr>
+</tbody>
+</table>
+</div>
+<div class="sect2">
+<h3 id="n88extractfields">9.8. n88extractfields</h3>
+<div class="paragraph">
+<p>
+
+
+
+
+</p>
+</div>
+<div id="n88extractfields_description" class="paragraph">
+<div class="title">Description</div>
+<p>Extracts specified solution fields as tabular text data.</p>
+</div>
+<div id="n88extractfields_usage" class="listingblock">
+<div class="title">Usage</div>
+<div class="content">
+<pre>n88extractfields [-h] [--output_file OUTPUT_FILE] fields input_file</pre>
+</div>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 16. n88extractfields positional arguments</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Option</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">fields</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">A comma-delimited list of names of solution fields to extract.
+              May be the name of either a solution node value (<em>e.g.</em>
+              &#8220;Displacement&#8221;) or a solution element value (<em>e.g.</em> &#8220;Stress&#8221;;
+              see also
+              <a href="#n88derivedfields">Calculating additional solution fields with n88derivedfields</a>)
+              Additionally, &#8220;NodeNumber&#8221;, &#8220;ElementNumber&#8221;, &#8220;MaterialID&#8221;, &#8220;NodeCoordinates&#8221;,
+              &#8220;ElementCoordinates&#8221; or &#8220;Topology&#8221; can be specified.
+              Element coordinates are the centers of the elements. Topology
+              gives for each element the 8 node numbers of the nodes
+              constituting the element. The order is as in the <code>n88model</code> file,
+              refer to the <a href="#n88file_parts">file specification</a>. All fields must be
+              the same length, which
+              practically means that they must either be all node values or all
+              element values.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">input</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The model file.</p></td>
+</tr>
+</tbody>
+</table>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 17. n88extractfields optional arguments</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Option</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">-h, --help</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Show help and exit.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--output_file OUTPUT_FILE, -o OUTPUT_FILE</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Output file. If not specified, output will go to
+                        STDOUT.</p></td>
+</tr>
+</tbody>
+</table>
+<div id="n88extractfields_examples" class="paragraph">
+<div class="title">Examples</div>
+<p>This will extract the displacement values as an N&#215;3 array, where N is
+the number of nodes:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88extractfields Displacement mymodel.n88model
 -0.00136573     -0.00136573     0.0
 -0.000770869    -0.00142601     0.0
 -0.000218384    -0.00141035     0.0
@@ -17090,16 +13779,16 @@ <h3 id="n88extractfields">9.8. n88extractfields</h3>
 0.00136573      -0.00136573     0.0
 -0.00142601     -0.000770869    0.0
 ...</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>This example will extract both element number and corresponding stress.
-              As the stress is 6-valued, this makes a total of 7 values per row of
-              output:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>$ n88extractfields ElementNumber,Stress mymodel.n88model
+</div>
+</div>
+<div class="paragraph">
+<p>This example will extract both element number and corresponding stress.
+As the stress is 6-valued, this makes a total of 7 values per row of
+output:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88extractfields ElementNumber,Stress mymodel.n88model
 1       -0.752387       -0.752387       -69.0185        0.965844        0.965844        -0.00933552
 2       -4.98979        -1.50565        -73.2319        0.629349        0.690826        1.61737
 3       -6.35569        -0.494144       -74.5778        0.486541        -4.27155e-16    -5.6954e-16
@@ -17108,2855 +13797,2114 @@ <h3 id="n88extractfields">9.8. n88extractfields</h3>
 6       -1.50565        -4.98979        -73.2319        0.690826        0.629349        1.61737
 7       -1.50565        -4.98979        -73.2319        0.690826        -0.62934
 ...</pre>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="n88extractsets">9.9. n88extractsets</h3>
-          <div class="paragraph">
-            <p>
-
-
-
-
-
-            </p>
-          </div>
-          <div id="n88extractsets_description" class="paragraph">
-            <div class="title">Description</div>
-            <p>Extract node sets, element sets and constraint sets and write them to VTK
-              PolyData (.vtp) files which can be opened with ParaView. This is mostly useful for
-              visualizing sets, boundary conditions and applied forces. For nodes sets and
-              constraints, these files will consist of a collection of vertices.</p>
-          </div>
-          <div id="n88extractsets_usage" class="listingblock">
-            <div class="title">Usage</div>
-            <div class="content">
-              <pre>n88extractsets [-h] [--constraints] [--node_sets] [--element_sets] input</pre>
-            </div>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 18. n88extractsets arguments</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Option</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">-h, --help</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">show this help message and exit</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--constraints, -C</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Extract constraints.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--node_sets, -N</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Extract node sets.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--element_sets, -E</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Extract element sets.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div class="paragraph">
-            <p>If no arguments are specified, all types of sets will be extracted.</p>
-          </div>
-          <div class="admonitionblock warning">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/warning.png" alt="Warning">
-                </td>
-                <td class="content">
-                  This utility will generate file names based on the names of the sets,
-                  and will overwrite existing files with the same names without warning.
-                </td>
-              </tr>
-            </table>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="n88interpolatesolution">9.10. n88interpolatesolution</h3>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <div id="n88interpolatesolution_description" class="paragraph">
-            <div class="title">Description</div>
-            <p>Copies and interpolates a solution from a solved reduced-resolution n88model
-              file, produced using <a href="#n88coarsen">n88coarsen</a>, into the original n88model file. This may
-              help to obtain faster solutions.</p>
-          </div>
-          <div id="n88interpolatesolution_usage" class="listingblock">
-            <div class="title">Usage</div>
-            <div class="content">
-              <pre>n88interpolatesolution [-h] full_model reduced_model</pre>
-            </div>
-          </div>
-          <div class="admonitionblock warning">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/warning.png" alt="Warning">
-                </td>
-                <td class="content">
-                  For linear models only.
-                </td>
-              </tr>
-            </table>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="n88modelgenerator">9.11. n88modelgenerator</h3>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <div id="n88modelgenerator_description" class="paragraph">
-            <div class="title">Description</div>
-            <p>Generates a finite element model from a segmented 3D image.</p>
-          </div>
-          <div class="paragraph">
-            <p>Refer to the <a href="#using_n88modelgenerator">chapter on using n88modelgenerator</a>.</p>
-          </div>
-          <div id="n88modelgenerator_usage" class="listingblock">
-            <div class="title">Usage</div>
-            <div class="content">
-              <pre>n88modelgenerator [options] input_file [output_file]</pre>
-            </div>
-          </div>
-          <div id="n88modelgenerator_input_formats" class="paragraph">
-            <div class="title">Supported input image file formats</div>
-            <p>
-
-
-
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>n88modelgenerator currently supports the following input formats:</p>
-          </div>
-          <div class="ulist">
-            <ul>
-              <li>
-                <p>DICOM (automatically selected when a directory is given as the input),</p>
-              </li>
-              <li>
-                <p>Scanco <code>.aim</code> files,</p>
-              </li>
-              <li>
-                <p>ITK MetaImage files (<code>.mha</code>) or (<code>.mhd</code>),</p>
-              </li>
-              <li>
-                <p>VTK XML Image Data files (<code>.vti</code>),</p>
-              </li>
-              <li>
-                <p>existing Numerics88 Model file (<code>.n88model</code>)</p>
-              </li>
-            </ul>
-          </div>
-          <div class="admonitionblock note">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/note.png" alt="Note">
-                </td>
-                <td class="content">
-                  There are some limitations when reading DICOM files. In particular,
-                  encapsulated format cannot be read. It is sometimes not possible to
-                  determine the <em>z</em>-spacing from DICOM files. In this case use
-                  the option <a href="#n88modelgenerator_spacing">spacing</a>.
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="admonitionblock note">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/note.png" alt="Note">
-                </td>
-                <td class="content">
-                  If an n88model file is provided as an input file, the mesh (i.e. the points
-                  and elements) will be taken from the input, as well as any possible solution
-                  fields. A new material table and new constraints will be generated. This
-                  is useful for incremental loading tests of nonlinear models, as it allows
-                  the boundary conditions to be updated while preserving an existing solution.
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div id="n88modelgenerator_output_formats" class="paragraph">
-            <div class="title">Supported output file formats</div>
-            <p>
-
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>The standard output format of <code>n88modelgenerator</code> is an <code>n88model</code> file
-              (see <a href="#n88model_file_format">n88model File Format</a>). If you specify an output file with
-              extension <code>.n88model</code>, the <code>n88model</code> file format will be used. This
-              is the default output type, and if no output file is specified, an
-              output file will be generated from the stem of the input file, with the
-              extension <code>.n88model</code> appended.</p>
-          </div>
-          <div class="paragraph">
-            <p><code>n88modelgenerator</code> also supports the output of Abaqus input files.
-              An Abaqus input file will be generated whenever an output file with
-              extension <code>.inp</code> is specified.</p>
-          </div>
-          <div id="n88modelgenerator_io_parameters" class="paragraph">
-            <div class="title">Input and output parameters</div>
-            <p>Input and output parameters specify the files that are used for input
-              and output.</p>
-          </div>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 19. n88modelgenerator Input and Output Parameters</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Argument</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_input_file"></a>input_file</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify the name of the input file. Note that it is not
-                    necessary to explicitly use &#8220;--input_file&#8221; on the command line, as
-                    the first positional argument (i.e. the first argument not starting
-                    with a dash), is taken to be the input file.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_output_file"></a>output_file</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify the name of the output file. If not specified, a default
-                    output file name will be used, which is of the form
-                    <code>[input]_[test_type].n88model</code> . Note that it is not
-                    necessary to explicitly use &#8220;--output_file&#8221; on the command line even
-                    if you want to specify the output file name, as
-                    the second positional argument, (i.e. the second argument not starting
-                    with a dash), if present, is taken to be the output file.
-                    However the type of output file is determined by the extension of
-                    output_file, therefore if output different than the default type
-                    (<code>n88model</code>) is desired, the output file must be explicitly specified.
-                  </p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div id="n88modelgenerator_image_parameters" class="paragraph">
-            <div class="title">Input image parameters</div>
-            <p></p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 20. n88modelgenerator Input Image Parameters</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Argument</th>
-                <th class="tableblock halign-left valign-top">Description
-
-                </th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_spacing"></a>spacing</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Force the spacing of the input image. This
-                    is sometimes required for DICOM files, for
-                    which the <em>z</em>-spacing sometimes cannot be
-                    determined. Values should be given as a
-                    comma-delimited list of <em>x</em>,<em>y</em>,<em>z</em> values. <em>e.g.</em>
-                    <code>0.5,0.5,0.5</code> .
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_connectivity_filter"></a>connectivity_filter</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Enable/disable connectivity filtering which extracts
-                    only the largest connected object in the input image. See
-                    <a href="#ensuring_connectivity">Ensuring connectivity</a> in the chapter about <code>vtkbone</code>
-                    for a discussion of this issue. Valid values are <code>on</code>, <code>off</code> and
-                    <code>warn</code>.
-                    The default is <code>on</code>.
-                  </p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div id="n88modelgenerator_test_parameters" class="paragraph">
-            <div class="title">Test configuration parameters</div>
-            <p></p>
-          </div>
-          <div class="paragraph">
-            <p>Test configuration parameters define the mechanical test that will be
-              applied to the object in the image.</p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 21. n88modelgenerator Test Configuration Parameters</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Argument</th>
-                <th class="tableblock halign-left valign-top">Description
-
-                </th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_test"></a>test</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify test type. Valid values are <code>uniaxial</code>, <code>axial</code>,
-                    <code>confined</code>, <code>bending</code>, <code>torsion</code>, <code>symshear</code>
-                    and <code>dshear</code>. See <a href="#standard_tests">Standard Tests</a>.
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_test_axis"></a>test_axis</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify the test axis. See <a href="#test_orientation">Test Orientation</a>.
-                    Valid values are <em>x</em>, <em>y</em>, and <em>z</em>. The default is <em>z</em>.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_normal_strain"></a>normal_strain</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">For a compression type test, specifies an apparent level strain.
-                    Negative values correspond to compression.
-                    Strain is the default if neither strain nor displacement are specified.
-                    Default -0.01, corresponding to 1% compressive strain.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_shear_strain"></a>shear_strain</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">For a <a href="#symshear_test">symshear test</a>, this sets the apparent
-                    engineering shear strain applied to the model.
-                    Unitless.
-                    Default 0.01.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">strain</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Shortened equivalent of either normal_strain or shear_strain, depending
-                    on the test type.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_displacement"></a>displacement</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify an applied displacement (with units of length) for a compression type
-                    test.
-                    Negative values correspond to compression.
-                    This parameter is exclusive with <code>normal_strain</code>: one or the other may be used, but
-                    not both.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_pin"></a>pin</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Fully define the constraints for a uniaxial model by adding an arbitrary
-                    pinned point to prevent lateral translation, and a second partially
-                    pinned point to prevent lateral rotation. If this option is off, the
-                    system of equations for a uniaxial test is singular. Faim can solve it
-                    regardless, and will in fact typically solve it faster. This option is
-                    ignored for test types other than uniaxial.
-                    Valid values are <code>off</code>, <code>center</code>, <code>corner</code> and <code>on</code>. The
-                    value <code>corner</code> adds a pin
-                    at the element with the minimum <em>z</em>,<em>y</em>,<em>x</em> coordinates in the Test Frame
-                    (<em>i.e.</em> select by minimum <em>z</em>, then by minimum <em>y</em>, then by minimum
-                    <em>x</em>).
-                    <code>center</code> adds a pin at the element closest to the center <em>x</em>,<em>y</em> position
-                    in the Test Frame. (The <em>z</em> coordinate is not considered, unless two
-                    elements are equally close to the <em>x</em>,<em>y</em> center, in which case the one
-                    with smallest <em>z</em> is selected.) The value <code>on</code> is equivalent to
-                    <code>center</code>.
-                    Default is <code>off</code>.
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_central_axis"></a>central_axis</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The <em>x</em>,<em>y</em> coordinates (in the Test Frame) of the central axis,
-                    which is parallel to the <em>z</em> axis (in the Test Frame).
-                    Example: <code>0,0</code> . Alternatively, you can specify <code>center_of_mass</code> or
-                    <code>center_of_bounds</code>.
-                    The default is <code>center_of_mass</code>.
-                    The central axis is used in <a href="#bending_test">bending</a> and
-                    <a href="#torsion_test">torsion</a> tests.
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_bending_angle"></a>bending_angle</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The degree of tilt between the top and bottom surfaces in a
-                    <a href="#bending_test">bending test</a>.
-                    Units are degrees. The default is 1º.
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_neutral_axis_angle"></a>neutral_axis_angle</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The angle of the neutral axis in the <em>x</em>,<em>y</em> plane (in the Test
-                    Frame) in a
-                    <a href="#bending_test">bending test</a>. 0º is parallel to the <em>x</em>-axis.
-                    Units are degrees. Default is 90º, parallel to the <em>y</em>-axis.
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_shear_vector"></a>shear_vector</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The amount of shear displacement of the top surface as a vector in the
-                    <em>x</em>,<em>y</em> plane (in the Test Frame) for a <a href="#dshear_test">dshear test</a>. Units
-                    are
-                    length units if scale_shear_to_height is off, otherwise a unitless ratio.
-                    Default is 0.01,0 .
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_scale_shear_to_height"></a>scale_shear_to_height</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">If <code>on</code>, shear_vector will be scaled by the height of the model
-                    extent (in
-                    the <em>z</em> direction in the Test Frame) to determine the shear displacement
-                    applied for a <a href="#dshear_test">dshear test</a>.
-                    Valid values are <code>on</code> and <code>off</code>. Default is <code>on</code>.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_twist_angle"></a>twist_angle</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Amount of rotation of the top surface in a torsion test. Units are degrees.
-                    Default is 1º.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div id="n88modelgenerator_surface_detection_parameters" class="paragraph">
-            <div class="title">Surface detection parameters</div>
-            <p></p>
-          </div>
-          <div class="paragraph">
-            <p>Surface detection parameters modify how the top and bottom surfaces of the
-              object image are identified. For most test types, the principle
-              boundary conditions are applied to these two surfaces. If not specified,
-              by default these surfaces are identified as all nodes (or elements) at the top
-              or bottom extent of the input.</p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 22. n88modelgenerator Surface Detection Parameters</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Argument</th>
-                <th class="tableblock halign-left valign-top">Description
-
-                </th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_top_surface"></a>top_surface</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify method of selecting top surface. Valid values are
-                    <code>intersection</code>
-                    and <code>visible</code>. See <a href="#uneven_surfaces">Uneven surfaces</a>.
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_bottom_surface"></a>bottom_surface</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify method of selecting bottom
-                    surface. Valid values are <code>intersection</code> and <code>visible</code>. See
-                    <a href="#uneven_surfaces">Uneven surfaces</a>.
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a
-                      id="n88modelgenerator_top_surface_maximum_depth"></a>top_surface_maximum_depth</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify the maximum depth for identifying the top surface. Only applies
-                    if <code>top_surface</code> = <code>visible</code>. If unspecified, depth is unlimited. Depth is
-                    measured from the top boundary of the volume.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a
-                      id="n88modelgenerator_bottom_surface_maximum_depth"></a>bottom_surface_maximum_depth</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify the maximum depth for identifying the bottom surface. Only applies
-                    if <code>bottom_surface</code> = <code>visible</code>. If unspecified, depth is unlimited. Depth is
-                    measured (upwards) from the bottom boundary of the volume.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a
-                      id="n88modelgenerator_top_constraint_material_id"></a>top_constraint_material_id</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Apply boundary conditions at the top surface only to cells and nodes of the
-                    specified material ID.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a
-                      id="n88modelgenerator_bottom_constraint_material_id"></a>bottom_constraint_material_id</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Apply boundary conditions at the bottom surface only to cells and nodes of
-                    the specified material ID.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div id="n88modelgenerator_material_arguments" class="paragraph">
-            <div class="title">Material specification parameters</div>
-            <p></p>
-          </div>
-          <div class="paragraph">
-            <p>Material specification parameters are used to specify material definitions,
-              and to select a material table that maps material IDs to material definitions.</p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 23. n88modelgenerator Material Specification Parameters</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Argument</th>
-                <th class="tableblock halign-left valign-top">Description
-
-
-                </th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_poissons_ratio"></a>poissons_ratio</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify isotropic Poisson&#8217;s ratio. The default is 0.3 .</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_youngs_modulus"></a>youngs_modulus</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify isotropic Young&#8217;s modulus. The default is 6829.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_orthotropic_parameters"></a>orthotropic_parameters</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify orthotropic parameters as
-                    <em>E<sub>x</sub></em>,<em>E<sub>y</sub></em>,<em>E<sub>z</sub></em>,<em>&#957;<sub>yz</sub></em>,<em>&#957;<sub>zx</sub></em>,<em>&#957;<sub>xy</sub></em>,<em>G<sub>yz</sub></em>,<em>G<sub>zx</sub></em>,<em>G<sub>xy</sub></em>
-                    .
-                    If not set, isotropic parameters will be assumed.
-                    <strong>Important</strong>: There are two common conventions for ordering the mixed index
-                    quantities <em>&#957;<sub>ij</sub></em> and <em>G<sub>ij</sub></em>. Numerics88 software uses the
-                    ordering <em>YZ</em>,
-                    <em>ZX</em>, <em>XY</em>. It is important to observe this when specifying orthotropic
-                    properties in <code>n88modelgenerator</code>, as these are input in the form of an
-                    ordered list.
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_plasticity"></a>plasticity</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify an elastoplastic yield criterion.
-                    Specify as several values separated by
-                    commas. The first value is an elastoplastic yield criterion
-                    name; subsequent values are numeric
-                    arguments appropriate to the method.</p>
-                  <p class="tableblock"> Supported methods:</p>
-                  <p class="tableblock"> <code>VonMises,Y</code> : <code>Y</code> is the yield strength. Refer to <a
-                      href="#von_mises_material">von Mises yield criterion</a>.</p>
-                  <p class="tableblock"> <code>MohrCoulomb,YT,YC</code> : <code>YT</code> is the yield
-                    strength in tension and <code>YC</code> is the
-                    yield strength in compression. Refer to <a href="#mohr_coulomb_material">Mohr-Coulomb yield
-                      criterion</a>.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_material_table"></a>material_table</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify method for generating material table.
-                    Valid values are <code>homogeneous</code> and
-                    <code>homminga</code>. <code>homogeneous</code> assigns the same
-                    material to all material IDs.
-                    <code>homminga</code> generates a table of materials
-                    according to Homminga et al. Refer to
-                    <a href="#homminga_material_table">Homminga material table</a> for details.
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a
-                      id="n88modelgenerator_homminga_maximum_material_id"></a>homminga_maximum_material_id</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify the maximum material ID used in Homminga density to modulus conversion.
-                    The default is 127.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a
-                      id="n88modelgenerator_homminga_modulus_exponent"></a>homminga_modulus_exponent</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify exponent used in Homminga density to modulus conversion.
-                    The default is 1.7 .</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_material_definitions"></a>material_definitions</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify a material definitions file for advanced material specification.
-                    If specified, all other material specification arguments will be ignored.
-                    Refer to the section <a href="#material_definitions_file">material definitions file</a>
-                    in the chapter on Preparing Finite Element Models With n88modelgenerator.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div id="n88modelgenerator_solver_parameters" class="paragraph">
-            <div class="title">Solver parameters</div>
-            <p></p>
-          </div>
-          <div class="paragraph">
-            <p>Solver parameters affect the execution of the solver. They are independent
-              of the model creation, and are specific to the solver used. If given
-              as arguments to <code>n88modelgenerator</code>, they will be stored in the <code>n88model</code>
-              file. However for most purposes, it is better to leave these out of the
-              <code>n88model</code> file and either use the defaults as selected by the solver,
-              or else to specify them as command line arguments directly to the solver. See
-              <a href="#n88solver">n88solver</a>.
-            </p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 24. n88modelgenerator Solver Parameters</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Argument</th>
-                <th class="tableblock halign-left valign-top">Description
-
-                </th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_convergence_tolerance"></a>convergence_tolerance</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify convergence tolerance for conjugate gradient iterations. If not
-                    specified
-                    a default value will be used. See <a href="#n88solver">Generating the displacements with
-                      n88solver</a>.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88modelgenerator_maximum_iterations"></a>maximum_iterations</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify the maximum number of conjugate gradient iterations. If not specified
-                    a default value will be used. The default is 30000. See <a href="#n88solver">Generating the
-                      displacements with n88solver</a>.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a
-                      id="n88modelgenerator_plastic_convergence_tolerance"></a>plastic_convergence_tolerance</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify convergence tolerance for plastic iterations. If not specified
-                    a default value will be used.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a
-                      id="n88modelgenerator_maximum_plastic_iterations"></a>maximum_plastic_iterations</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify the maximum number of plastic iterations. If not specified
-                    a default value will be used. The default is 100.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-        </div>
-        <div class="sect2">
-          <h3 id="n88modelinfo">9.12. n88modelinfo</h3>
-          <div class="paragraph">
-            <p>
-
-            </p>
-          </div>
-          <div id="n88modelinfo_description" class="paragraph">
-            <div class="title">Description</div>
-            <p>Print summary information for a Numerics88 finite element model file.</p>
-          </div>
-          <div id="n88modelinfo_usage" class="listingblock">
-            <div class="title">Usage</div>
-            <div class="content">
-              <pre>n88modelinfo [-h] [--active] [--history] [--log] [--materials]
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="n88extractsets">9.9. n88extractsets</h3>
+<div class="paragraph">
+<p>
+
+
+
+
+
+</p>
+</div>
+<div id="n88extractsets_description" class="paragraph">
+<div class="title">Description</div>
+<p>Extract node sets, element sets and constraint sets and write them to VTK
+PolyData (.vtp) files which can be opened with ParaView. This is mostly useful for
+visualizing sets, boundary conditions and applied forces.  For nodes sets and
+constraints, these files will consist of a collection of vertices.</p>
+</div>
+<div id="n88extractsets_usage" class="listingblock">
+<div class="title">Usage</div>
+<div class="content">
+<pre>n88extractsets [-h] [--constraints] [--node_sets] [--element_sets] input</pre>
+</div>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 18. n88extractsets arguments</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Option</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">-h, --help</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">show this help message and exit</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--constraints, -C</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Extract constraints.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--node_sets, -N</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Extract node sets.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--element_sets, -E</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Extract element sets.</p></td>
+</tr>
+</tbody>
+</table>
+<div class="paragraph">
+<p>If no arguments are specified, all types of sets will be extracted.</p>
+</div>
+<div class="admonitionblock warning">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/warning.png" alt="Warning">
+</td>
+<td class="content">
+This utility will generate file names based on the names of the sets,
+and will overwrite existing files with the same names without warning.
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect2">
+<h3 id="n88interpolatesolution">9.10. n88interpolatesolution</h3>
+<div class="paragraph">
+<p></p>
+</div>
+<div id="n88interpolatesolution_description" class="paragraph">
+<div class="title">Description</div>
+<p>Copies and interpolates a solution from a solved reduced-resolution n88model
+file, produced using <a href="#n88coarsen">n88coarsen</a>, into the original n88model file. This may
+help to obtain faster solutions.</p>
+</div>
+<div id="n88interpolatesolution_usage" class="listingblock">
+<div class="title">Usage</div>
+<div class="content">
+<pre>n88interpolatesolution [-h] full_model reduced_model</pre>
+</div>
+</div>
+<div class="admonitionblock warning">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/warning.png" alt="Warning">
+</td>
+<td class="content">
+For linear models only.
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect2">
+<h3 id="n88modelgenerator">9.11. n88modelgenerator</h3>
+<div class="paragraph">
+<p></p>
+</div>
+<div id="n88modelgenerator_description" class="paragraph">
+<div class="title">Description</div>
+<p>Generates a finite element model from a segmented 3D image.</p>
+</div>
+<div class="paragraph">
+<p>Refer to the <a href="#using_n88modelgenerator">chapter on using n88modelgenerator</a>.</p>
+</div>
+<div id="n88modelgenerator_usage" class="listingblock">
+<div class="title">Usage</div>
+<div class="content">
+<pre>n88modelgenerator [options] input_file [output_file]</pre>
+</div>
+</div>
+<div id="n88modelgenerator_input_formats" class="paragraph">
+<div class="title">Supported input image file formats</div>
+<p>
+
+
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>n88modelgenerator currently supports the following input formats:</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p>DICOM (automatically selected when a directory is given as the input),</p>
+</li>
+<li>
+<p>Scanco <code>.aim</code> files,</p>
+</li>
+<li>
+<p>ITK MetaImage files (<code>.mha</code>) or (<code>.mhd</code>),</p>
+</li>
+<li>
+<p>VTK XML Image Data files (<code>.vti</code>),</p>
+</li>
+<li>
+<p>existing Numerics88 Model file (<code>.n88model</code>)</p>
+</li>
+</ul>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+There are some limitations when reading DICOM files.  In particular,
+encapsulated format cannot be read.  It is sometimes not possible to
+determine the <em>z</em>-spacing from DICOM files.  In this case use
+the option <a href="#n88modelgenerator_spacing">spacing</a>.
+</td>
+</tr>
+</table>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+If an n88model file is provided as an input file, the mesh (i.e. the points
+and elements) will be taken from the input, as well as any possible solution
+fields. A new material table and new constraints will be generated. This
+is useful for incremental loading tests of nonlinear models, as it allows
+the boundary conditions to be updated while preserving an existing solution.
+</td>
+</tr>
+</table>
+</div>
+<div id="n88modelgenerator_output_formats" class="paragraph">
+<div class="title">Supported output file formats</div>
+<p>
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>The standard output format of <code>n88modelgenerator</code> is an <code>n88model</code> file
+(see <a href="#n88model_file_format">n88model File Format</a>).  If you specify an output file with
+extension <code>.n88model</code>, the <code>n88model</code> file format will be used.  This
+is the default output type, and if no output file is specified, an
+output file will be generated from the stem of the input file, with the
+extension <code>.n88model</code> appended.</p>
+</div>
+<div class="paragraph">
+<p><code>n88modelgenerator</code> also supports the output of Abaqus input files.
+An Abaqus input file will be generated whenever an output file with
+extension <code>.inp</code> is specified.</p>
+</div>
+<div id="n88modelgenerator_io_parameters" class="paragraph">
+<div class="title">Input and output parameters</div>
+<p>Input and output parameters specify the files that are used for input
+and output.</p>
+</div>
+<div class="paragraph">
+<p></p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 19. n88modelgenerator Input and Output Parameters</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Argument</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_input_file"></a>input_file</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify the name of the input file.  Note that it is not
+  necessary to explicitly use &#8220;--input_file&#8221; on the command line, as
+  the first positional argument (i.e. the first argument not starting
+  with a dash), is taken to be the input file.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_output_file"></a>output_file</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify the name of the output file.  If not specified, a default
+  output file name will be used, which is of the form
+  <code>[input]_[test_type].n88model</code> .  Note that it is not
+  necessary to explicitly use &#8220;--output_file&#8221; on the command line even
+  if you want to specify the output file name, as
+  the second positional argument, (i.e. the second argument not starting
+  with a dash), if present, is taken to be the output file.
+  However the type of output file is determined by the extension of
+  output_file, therefore if output different than the default type
+  (<code>n88model</code>) is desired, the output file must be explicitly specified.</p></td>
+</tr>
+</tbody>
+</table>
+<div id="n88modelgenerator_image_parameters" class="paragraph">
+<div class="title">Input image parameters</div>
+<p></p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 20. n88modelgenerator Input Image Parameters</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Argument</th>
+<th class="tableblock halign-left valign-top">Description
+
+</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_spacing"></a>spacing</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Force the spacing of the input image.  This
+  is sometimes required for DICOM files, for
+  which the <em>z</em>-spacing sometimes cannot be
+  determined.  Values should be given as a
+  comma-delimited list of <em>x</em>,<em>y</em>,<em>z</em> values. <em>e.g.</em> <code>0.5,0.5,0.5</code> .</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_connectivity_filter"></a>connectivity_filter</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Enable/disable connectivity filtering which extracts
+  only the largest connected object in the input image.  See
+  <a href="#ensuring_connectivity">Ensuring connectivity</a> in the chapter about <code>vtkbone</code>
+  for a discussion of this issue.  Valid values are <code>on</code>, <code>off</code> and <code>warn</code>.
+  The default is <code>on</code>.</p></td>
+</tr>
+</tbody>
+</table>
+<div id="n88modelgenerator_test_parameters" class="paragraph">
+<div class="title">Test configuration parameters</div>
+<p></p>
+</div>
+<div class="paragraph">
+<p>Test configuration parameters define the mechanical test that will be
+applied to the object in the image.</p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 21. n88modelgenerator Test Configuration Parameters</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Argument</th>
+<th class="tableblock halign-left valign-top">Description
+
+</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_test"></a>test</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify test type.  Valid values are <code>uniaxial</code>, <code>axial</code>,
+  <code>confined</code>, <code>bending</code>, <code>torsion</code>, <code>symshear</code>
+  and <code>dshear</code>. See <a href="#standard_tests">Standard Tests</a>.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_test_axis"></a>test_axis</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify the test axis.  See <a href="#test_orientation">Test Orientation</a>.
+  Valid values are <em>x</em>, <em>y</em>, and <em>z</em>. The default is <em>z</em>.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_normal_strain"></a>normal_strain</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">For a compression type test, specifies an apparent level strain.
+  Negative values correspond to compression.
+  Strain is the default if neither strain nor displacement are specified.
+  Default -0.01, corresponding to 1% compressive strain.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_shear_strain"></a>shear_strain</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">For a <a href="#symshear_test">symshear test</a>, this sets the apparent engineering shear strain applied to the model.
+  Unitless.
+  Default 0.01.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">strain</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Shortened equivalent of either normal_strain or shear_strain, depending
+  on the test type.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_displacement"></a>displacement</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify an applied displacement (with units of length) for a compression type test.
+  Negative values correspond to compression.
+  This parameter is exclusive with <code>normal_strain</code>: one or the other may be used, but
+  not both.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_pin"></a>pin</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Fully define the constraints for a uniaxial model by adding an arbitrary
+  pinned point to prevent lateral translation, and a second partially
+  pinned point to prevent lateral rotation. If this option is off, the
+  system of equations for a uniaxial test is singular.  Faim can solve it
+  regardless, and will in fact typically solve it faster. This option is
+  ignored for test types other than uniaxial.
+  Valid values are <code>off</code>, <code>center</code>, <code>corner</code> and <code>on</code>. The value <code>corner</code> adds a pin
+  at the element with the minimum <em>z</em>,<em>y</em>,<em>x</em> coordinates in the Test Frame
+  (<em>i.e.</em> select by minimum <em>z</em>, then by minimum <em>y</em>, then by minimum <em>x</em>).
+  <code>center</code> adds a pin at the element closest to the center <em>x</em>,<em>y</em> position
+  in the Test Frame.  (The <em>z</em> coordinate is not considered, unless two
+  elements are equally close to the <em>x</em>,<em>y</em> center, in which case the one
+  with smallest <em>z</em> is selected.) The value <code>on</code> is equivalent to <code>center</code>.
+  Default is <code>off</code>.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_central_axis"></a>central_axis</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The <em>x</em>,<em>y</em> coordinates (in the Test Frame) of the central axis,
+  which is parallel to the <em>z</em> axis (in the Test Frame).
+  Example: <code>0,0</code> . Alternatively, you can specify <code>center_of_mass</code> or
+  <code>center_of_bounds</code>.
+  The default is <code>center_of_mass</code>.
+  The central axis is used in <a href="#bending_test">bending</a> and
+  <a href="#torsion_test">torsion</a> tests.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_bending_angle"></a>bending_angle</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The degree of tilt between the top and bottom surfaces in a
+  <a href="#bending_test">bending test</a>.
+  Units are degrees.  The default is 1º.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_neutral_axis_angle"></a>neutral_axis_angle</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The angle of the neutral axis in the <em>x</em>,<em>y</em> plane (in the Test Frame) in a
+  <a href="#bending_test">bending test</a>. 0º is parallel to the <em>x</em>-axis.
+  Units are degrees.  Default is 90º, parallel to the <em>y</em>-axis.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_shear_vector"></a>shear_vector</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The amount of shear displacement of the top surface as a vector in the
+  <em>x</em>,<em>y</em> plane (in the Test Frame) for a <a href="#dshear_test">dshear test</a>. Units are
+  length units if scale_shear_to_height is off, otherwise a unitless ratio.
+  Default is 0.01,0 .</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_scale_shear_to_height"></a>scale_shear_to_height</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">If <code>on</code>, shear_vector will be scaled by the height of the model extent (in
+  the <em>z</em> direction in the Test Frame) to determine the shear displacement
+  applied for a <a href="#dshear_test">dshear test</a>.
+  Valid values are <code>on</code> and <code>off</code>.  Default is <code>on</code>.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_twist_angle"></a>twist_angle</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Amount of rotation of the top surface in a torsion test. Units are degrees.
+  Default is 1º.</p></td>
+</tr>
+</tbody>
+</table>
+<div id="n88modelgenerator_surface_detection_parameters" class="paragraph">
+<div class="title">Surface detection parameters</div>
+<p></p>
+</div>
+<div class="paragraph">
+<p>Surface detection parameters modify how the top and bottom surfaces of the
+object image are identified.  For most test types, the principle
+boundary conditions are applied to these two surfaces.  If not specified,
+by default these surfaces are identified as all nodes (or elements) at the top
+or bottom extent of the input.</p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 22. n88modelgenerator Surface Detection Parameters</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Argument</th>
+<th class="tableblock halign-left valign-top">Description
+
+</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_top_surface"></a>top_surface</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify method of selecting top surface.  Valid values are <code>intersection</code>
+  and <code>visible</code>. See <a href="#uneven_surfaces">Uneven surfaces</a>.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_bottom_surface"></a>bottom_surface</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify method of selecting bottom
+  surface. Valid values are <code>intersection</code> and <code>visible</code>. See
+  <a href="#uneven_surfaces">Uneven surfaces</a>.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_top_surface_maximum_depth"></a>top_surface_maximum_depth</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify the maximum depth for identifying the top surface. Only applies
+  if <code>top_surface</code> = <code>visible</code>. If unspecified, depth is unlimited. Depth is
+  measured from the top boundary of the volume.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_bottom_surface_maximum_depth"></a>bottom_surface_maximum_depth</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify the maximum depth for identifying the bottom surface. Only applies
+  if <code>bottom_surface</code> = <code>visible</code>. If unspecified, depth is unlimited. Depth is
+  measured (upwards) from the bottom boundary of the volume.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_top_constraint_material_id"></a>top_constraint_material_id</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Apply boundary conditions at the top surface only to cells and nodes of the
+  specified material ID.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_bottom_constraint_material_id"></a>bottom_constraint_material_id</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Apply boundary conditions at the bottom surface only to cells and nodes of
+  the specified material ID.</p></td>
+</tr>
+</tbody>
+</table>
+<div id="n88modelgenerator_material_arguments" class="paragraph">
+<div class="title">Material specification parameters</div>
+<p></p>
+</div>
+<div class="paragraph">
+<p>Material specification parameters are used to specify material definitions,
+and to select a material table that maps material IDs to material definitions.</p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 23. n88modelgenerator Material Specification Parameters</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Argument</th>
+<th class="tableblock halign-left valign-top">Description
+
+
+</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_poissons_ratio"></a>poissons_ratio</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify isotropic Poisson&#8217;s ratio. The default is 0.3 .</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_youngs_modulus"></a>youngs_modulus</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify isotropic Young&#8217;s modulus. The default is 6829.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_orthotropic_parameters"></a>orthotropic_parameters</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify orthotropic parameters as
+  <em>E<sub>x</sub></em>,<em>E<sub>y</sub></em>,<em>E<sub>z</sub></em>,<em>&#957;<sub>yz</sub></em>,<em>&#957;<sub>zx</sub></em>,<em>&#957;<sub>xy</sub></em>,<em>G<sub>yz</sub></em>,<em>G<sub>zx</sub></em>,<em>G<sub>xy</sub></em> .
+  If not set, isotropic parameters will be assumed.
+  <strong>Important</strong>: There are two common conventions for ordering the mixed index
+  quantities <em>&#957;<sub>ij</sub></em> and <em>G<sub>ij</sub></em>. Numerics88 software uses the ordering <em>YZ</em>,
+  <em>ZX</em>, <em>XY</em>. It is important to observe this when specifying orthotropic
+  properties in <code>n88modelgenerator</code>, as these are input in the form of an
+  ordered list.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_plasticity"></a>plasticity</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify an elastoplastic yield criterion.
+	Specify as several values separated by
+	commas. The first value is an elastoplastic yield criterion
+	name; subsequent values are numeric
+	arguments appropriate to the method.</p>
+<p class="tableblock">	Supported methods:</p>
+<p class="tableblock">	  <code>VonMises,Y</code> : <code>Y</code> is the yield strength. Refer to <a href="#von_mises_material">von Mises yield criterion</a>.</p>
+<p class="tableblock">	  <code>MohrCoulomb,YT,YC</code> : <code>YT</code> is the yield
+	    strength in tension and <code>YC</code> is the
+	    yield strength in compression. Refer to <a href="#mohr_coulomb_material">Mohr-Coulomb yield criterion</a>.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_material_table"></a>material_table</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify method for generating material table.
+  Valid values are <code>homogeneous</code> and
+  <code>homminga</code>. <code>homogeneous</code> assigns the same
+  material to all material IDs.
+  <code>homminga</code> generates a table of materials
+  according to Homminga et al.  Refer to
+  <a href="#homminga_material_table">Homminga material table</a> for details.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_homminga_maximum_material_id"></a>homminga_maximum_material_id</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify the maximum material ID used in Homminga density to modulus conversion.  The default is 127.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_homminga_modulus_exponent"></a>homminga_modulus_exponent</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify exponent used in Homminga density to modulus conversion.
+  The default is 1.7 .</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_material_definitions"></a>material_definitions</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify a material definitions file for advanced material specification.
+  If specified, all other material specification arguments will be ignored.
+  Refer to the section <a href="#material_definitions_file">material definitions file</a>
+  in the chapter on Preparing Finite Element Models With n88modelgenerator.</p></td>
+</tr>
+</tbody>
+</table>
+<div id="n88modelgenerator_solver_parameters" class="paragraph">
+<div class="title">Solver parameters</div>
+<p></p>
+</div>
+<div class="paragraph">
+<p>Solver parameters affect the execution of the solver.  They are independent
+of the model creation, and are specific to the solver used.  If given
+as arguments to <code>n88modelgenerator</code>, they will be stored in the <code>n88model</code>
+file.  However for most purposes, it is better to leave these out of the
+<code>n88model</code> file and either use the defaults as selected by the solver,
+or else to specify them as command line arguments directly to the solver.  See
+<a href="#n88solver">n88solver</a>.</p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 24. n88modelgenerator Solver Parameters</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Argument</th>
+<th class="tableblock halign-left valign-top">Description
+
+</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_convergence_tolerance"></a>convergence_tolerance</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify convergence tolerance for conjugate gradient iterations. If not specified
+a default value will be used. See <a href="#n88solver">Generating the displacements with n88solver</a>.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_maximum_iterations"></a>maximum_iterations</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify the maximum number of conjugate gradient iterations. If not specified
+a default value will be used. The default is 30000. See <a href="#n88solver">Generating the displacements with n88solver</a>.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_plastic_convergence_tolerance"></a>plastic_convergence_tolerance</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify convergence tolerance for plastic iterations. If not specified
+a default value will be used.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88modelgenerator_maximum_plastic_iterations"></a>maximum_plastic_iterations</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify the maximum number of plastic iterations. If not specified
+a default value will be used. The default is 100.</p></td>
+</tr>
+</tbody>
+</table>
+</div>
+<div class="sect2">
+<h3 id="n88modelinfo">9.12. n88modelinfo</h3>
+<div class="paragraph">
+<p>
+
+</p>
+</div>
+<div id="n88modelinfo_description" class="paragraph">
+<div class="title">Description</div>
+<p>Print summary information for a Numerics88 finite element model file.</p>
+</div>
+<div id="n88modelinfo_usage" class="listingblock">
+<div class="title">Usage</div>
+<div class="content">
+<pre>n88modelinfo [-h] [--active] [--history] [--log] [--materials]
              [--parts] [--node_sets] [--element_sets] [--sets]
              [--constraints] [--problems] [--solutions]
              input_file</pre>
-            </div>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 25. n88modelinfo positional arguments</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Option</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">input_file</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The .n88model file to read.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 26. n88modelinfo action arguments:</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Option</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--active</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">List active solution, problem and part.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--history</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Show history.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--log</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Show log.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--materials</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">List defined materials.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--parts</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Show parts.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--node_sets</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Show nodesets.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--element_sets</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Show elementsets.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--sets</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Show both node and element sets. (Equivalent to --node_sets and --element_sets.)
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--constraints</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Show constraints.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--problems</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Show problems.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--solutions</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Show solutions.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div class="paragraph">
-            <p>Multiple action arguments may be specified. If no action argument is
-              specified, it is equivalent to specifying them all.</p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 27. n88modelinfo optional arguments</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Option</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">-h, --help</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Show help and exit.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-        </div>
-        <div class="sect2">
-          <h3 id="n88pistoia">9.13. n88pistoia</h3>
-          <div id="n88pistoia_description" class="paragraph">
-            <div class="title">Description</div>
-            <p>Calculate Pistoia yield critera. This is a method if estimating yield strength
-              from linear solutions. In general, it would be preferable to use a non-linear
-              elastoplastic model to calculate yield strengths. This utility is provided
-              mostly for comparing with older results.</p>
-          </div>
-          <div class="paragraph">
-            <p>For discussion of use, see the
-              <a href="#n88postfaim_pistoia_failure_load">section on the Pistoia failure load estimate</a>
-              in the special topics chapter.
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>Note that <code>n88pistoia</code> is implemented in python (in <code>tools/pistoia.py</code>), so you
-              can copy it and modify it should you wish to modify the analysis.</p>
-          </div>
-          <div id="n88pistoia_usage" class="listingblock">
-            <div class="title">Usage</div>
-            <div class="content">
-              <pre>n88pistoia [options] input_file</pre>
-            </div>
-          </div>
-          <div id="n88pistoia_arguments" class="paragraph">
-            <div class="title">Arguments</div>
-            <p></p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 28. n88pistoia arguments</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Argument</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--help [-h]</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Print help and exit.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--output_file [-o] arg</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify an output file.
-                    If no output file is specified, output will
-                    go to STDOUT.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--constraint [-n] arg</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify the constraint (i.e. boundary condition or
-                    applied load) to use for analysis. This is the surface
-                    to which forces are applied. The default
-                    ("top_displacement") will work for models generated
-                    with n88modelgenerator.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--rotation_center [-c] arg</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify the spatial center used for calculation of angular
-                    quantities. The argument must be given as
-                    a triplet of coordinates. If not specified, the
-                    value will be read from the input file. If not available,
-                    no angular quantities will be calculated.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--include [-i] arg</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Only elements with the specified material IDs will be
-                    included in the calculation. Multiple IDs can be
-                    specified in a comma-delimited list (e.g.
-                    100,101,105).</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--exclude [-e] arg</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">All elements with the specified material IDs will be
-                    excluded from the calculation. Multiple IDs can be
-                    specified in a comma-delimited list (e.g.
-                    100,101,105).</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--critical_volume arg</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify the fixed critical volume (as percent) (e.g. 2.0).</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--critical_strain arg</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify the fixed critical strain (e.g. 0.007).</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-        </div>
-        <div class="sect2">
-          <h3 id="n88postfaim">9.14. n88postfaim</h3>
-          <div id="n88postfaim_description" class="paragraph">
-            <div class="title">Description</div>
-            <p>Generate tables of standard post-processing quantities.</p>
-          </div>
-          <div class="paragraph">
-            <p>For discussion of use, see the <a href="#using_n88postfaim">section on using n88postfaim</a>
-              in the post-processing chapter.</p>
-          </div>
-          <div class="paragraph">
-            <p>Note that <code>n88postfaim</code> is implemented in python (in <code>tools/postfaim.py</code>), so you
-              can copy it and modify it should you wish to modify the analysis.</p>
-          </div>
-          <div id="n88postfaim_usage" class="listingblock">
-            <div class="title">Usage</div>
-            <div class="content">
-              <pre>n88postfaim [options] input_file</pre>
-            </div>
-          </div>
-          <div id="n88postfaim_arguments" class="paragraph">
-            <div class="title">Arguments</div>
-            <p></p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 29. n88postfaim arguments</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Argument</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--help [-h]</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Print help and exit.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--output_file [-o] arg</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify an output file.
-                    If no output file is specified, output will
-                    go to STDOUT.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--node_sets [-N] arg</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify the node sets to use for analysis.
-                    The argument should be a list of node set names,
-                    separated by commas. If not specified, the value
-                    will be read from the input file.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--element_sets [-E] arg</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify the element sets to use for analysis.
-                    The argument should be a list of element set names,
-                    separated by commas. Each node set must be matched
-                    by the corresponding set of elements. If not specified,
-                    the value will be read from the input file.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--sets [-s] arg</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">A convenience option that sets both node_sets and
-                    elements_sets. This is only useful if corresponding
-                    node and element sets are identically named.</p>
-                  <p class="tableblock"><a id="n88postfaim_rotation_center"></a></p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--rotation_center [-c] arg</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify the spatial center used for calculation of angular
-                    quantities. The argument must be given as
-                    a triplet of coordinates. If not specified, the
-                    value will be read from the input file. If not available,
-                    no angular quantities will be calculated.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-        </div>
-        <div class="sect2">
-          <h3 id="n88solver">9.15. n88solver (_slt, _sla and _spt)</h3>
-          <div class="paragraph">
-            <p>
-
-
-            </p>
-          </div>
-          <div id="n88solver_description" class="paragraph">
-            <div class="title">Description</div>
-            <p><code>n88solver_slt</code> and <code>n88solver_sla</code> are solvers suitable for small-strain models
-              with linear elastic material definitions. <code>n88solver_spt</code> can solve nonlinear models
-              containing elastoplastic material definitions.</p>
-          </div>
-          <div class="paragraph">
-            <p><code>n88solver_slt</code> and <code>n88solver_spt</code> use material tables internally: they are most
-              efficient when the number of defined materials is substantially less than
-              the number of elements in the model. This is the usual case. <code>n88solver_sla</code>
-              is a special-purpose solver that uses a material array internally: it is more
-              efficient when the number of defined materials is comparable to the number
-              of elements. See
-              <a href="#material_arrays">Efficient Handling of Large Numbers of Material Definitions</a>.
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>See the chapters on <a href="#solving_linear_problems">Solving Linear Problems</a>
-              and <a href="#solving_nonlinear_problems">Solving Nonlinear Problems</a> for discussion
-              of use.</p>
-          </div>
-          <div id="n88solver_usage" class="listingblock">
-            <div class="title">Usage</div>
-            <div class="content">
-              <pre>n88solver_slt [options] input_file
+</div>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 25. n88modelinfo positional arguments</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Option</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">input_file</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The .n88model file to read.</p></td>
+</tr>
+</tbody>
+</table>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 26. n88modelinfo action arguments:</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Option</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--active</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">List active solution, problem and part.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--history</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Show history.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--log</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Show log.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--materials</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">List defined materials.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--parts</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Show parts.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--node_sets</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Show nodesets.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--element_sets</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Show elementsets.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--sets</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Show both node and element sets. (Equivalent to --node_sets and --element_sets.)</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--constraints</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Show constraints.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--problems</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Show problems.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--solutions</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Show solutions.</p></td>
+</tr>
+</tbody>
+</table>
+<div class="paragraph">
+<p>Multiple action arguments may be specified. If no action argument is
+specified, it is equivalent to specifying them all.</p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 27. n88modelinfo optional arguments</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Option</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">-h, --help</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Show help and exit.</p></td>
+</tr>
+</tbody>
+</table>
+</div>
+<div class="sect2">
+<h3 id="n88pistoia">9.13. n88pistoia</h3>
+<div id="n88pistoia_description" class="paragraph">
+<div class="title">Description</div>
+<p>Calculate Pistoia yield critera. This is a method if estimating yield strength
+from linear solutions. In general, it would be preferable to use a non-linear
+elastoplastic model to calculate yield strengths. This utility is provided
+mostly for comparing with older results.</p>
+</div>
+<div class="paragraph">
+<p>For discussion of use, see the
+<a href="#n88postfaim_pistoia_failure_load">section on the Pistoia failure load estimate</a>
+in the special topics chapter.</p>
+</div>
+<div class="paragraph">
+<p>Note that <code>n88pistoia</code> is implemented in python (in <code>tools/pistoia.py</code>), so you
+can copy it and modify it should you wish to modify the analysis.</p>
+</div>
+<div id="n88pistoia_usage" class="listingblock">
+<div class="title">Usage</div>
+<div class="content">
+<pre>n88pistoia [options] input_file</pre>
+</div>
+</div>
+<div id="n88pistoia_arguments" class="paragraph">
+<div class="title">Arguments</div>
+<p></p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 28. n88pistoia arguments</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Argument</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--help [-h]</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Print help and exit.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--output_file [-o] arg</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify an output file.
+  If no output file is specified, output will
+  go to STDOUT.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--constraint [-n] arg</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify the constraint (i.e. boundary condition or
+  applied load) to use for analysis. This is the surface
+  to which forces are applied. The default
+  ("top_displacement") will work for models generated
+  with n88modelgenerator.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--rotation_center [-c] arg</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify the spatial center used for calculation of angular
+  quantities.  The argument must be given as
+  a triplet of coordinates.  If not specified, the
+  value will be read from the input file. If not available,
+  no angular quantities will be calculated.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--include [-i] arg</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Only elements with the specified material IDs will be
+  included in the calculation. Multiple IDs can be
+  specified in a comma-delimited list (e.g.
+  100,101,105).</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--exclude [-e] arg</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">All elements with the specified material IDs will be
+  excluded from the calculation. Multiple IDs can be
+  specified in a comma-delimited list (e.g.
+  100,101,105).</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--critical_volume arg</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify the fixed critical volume (as percent) (e.g. 2.0).</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--critical_strain arg</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify the fixed critical strain (e.g. 0.007).</p></td>
+</tr>
+</tbody>
+</table>
+</div>
+<div class="sect2">
+<h3 id="n88postfaim">9.14. n88postfaim</h3>
+<div id="n88postfaim_description" class="paragraph">
+<div class="title">Description</div>
+<p>Generate tables of standard post-processing quantities.</p>
+</div>
+<div class="paragraph">
+<p>For discussion of use, see the <a href="#using_n88postfaim">section on using n88postfaim</a>
+in the post-processing chapter.</p>
+</div>
+<div class="paragraph">
+<p>Note that <code>n88postfaim</code> is implemented in python (in <code>tools/postfaim.py</code>), so you
+can copy it and modify it should you wish to modify the analysis.</p>
+</div>
+<div id="n88postfaim_usage" class="listingblock">
+<div class="title">Usage</div>
+<div class="content">
+<pre>n88postfaim [options] input_file</pre>
+</div>
+</div>
+<div id="n88postfaim_arguments" class="paragraph">
+<div class="title">Arguments</div>
+<p></p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 29. n88postfaim arguments</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Argument</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--help [-h]</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Print help and exit.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--output_file [-o] arg</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify an output file.
+  If no output file is specified, output will
+  go to STDOUT.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--node_sets [-N] arg</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify the node sets to use for analysis.
+  The argument should be a list of node set names,
+  separated by commas.  If not specified, the value
+  will be read from the input file.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--element_sets [-E] arg</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify the element sets to use for analysis.
+  The argument should be a list of element set names,
+  separated by commas. Each node set must be matched
+  by the corresponding set of elements.  If not specified,
+  the value will be read from the input file.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--sets [-s] arg</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">A convenience option that sets both node_sets and
+  elements_sets.  This is only useful if corresponding
+  node and element sets are identically named.</p>
+<p class="tableblock"><a id="n88postfaim_rotation_center"></a></p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--rotation_center [-c] arg</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify the spatial center used for calculation of angular
+  quantities.  The argument must be given as
+  a triplet of coordinates.  If not specified, the
+  value will be read from the input file. If not available,
+  no angular quantities will be calculated.</p></td>
+</tr>
+</tbody>
+</table>
+</div>
+<div class="sect2">
+<h3 id="n88solver">9.15. n88solver (_slt, _sla and _spt)</h3>
+<div class="paragraph">
+<p>
+
+
+</p>
+</div>
+<div id="n88solver_description" class="paragraph">
+<div class="title">Description</div>
+<p><code>n88solver_slt</code> and <code>n88solver_sla</code> are solvers suitable for small-strain models
+with linear elastic material definitions. <code>n88solver_spt</code> can solve nonlinear models
+containing elastoplastic material definitions.</p>
+</div>
+<div class="paragraph">
+<p><code>n88solver_slt</code> and <code>n88solver_spt</code> use material tables internally: they are most
+efficient when the number of defined materials is substantially less than
+the number of elements in the model. This is the usual case.  <code>n88solver_sla</code>
+is a special-purpose solver that uses a material array internally: it is more
+efficient when the number of defined materials is comparable to the number
+of elements. See
+<a href="#material_arrays">Efficient Handling of Large Numbers of Material Definitions</a>.</p>
+</div>
+<div class="paragraph">
+<p>See the chapters on <a href="#solving_linear_problems">Solving Linear Problems</a>
+and <a href="#solving_nonlinear_problems">Solving Nonlinear Problems</a> for discussion
+of use.</p>
+</div>
+<div id="n88solver_usage" class="listingblock">
+<div class="title">Usage</div>
+<div class="content">
+<pre>n88solver_slt [options] input_file
 n88solver_sla [options] input_file
 n88solver_spt [options] input_file</pre>
-            </div>
-          </div>
-          <div id="n88solver_option_list" class="paragraph">
-            <div class="title">Arguments</div>
-            <p></p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 30. n88solver arguments</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Argument</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--help [-h]</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Print help and exit.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--version [-v]</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Print version information and exit.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--quiet [-q]</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Suppress output to terminal (except for error messages).</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--license-check [-l]</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Print licensing information.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88solver_engine"></a>--engine [-g] arg (=mt)</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Set the solver engine. Valid values are
-                    <code>mt</code> for the multi-threaded CPU engine and <code>nv</code> for the nVidia GPU engine.
-                    Note that a license from Numerics88 Solutions is required to use the GPU
-                    engine.
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88solver_threads"></a>--threads [-t] arg</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Set the number of threads for the mt engine. If not specified,
-                    the number of threads will be set to one per CPU
-                    core on the system, or one thread per 2048 elements,
-                    whichever is less.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88solver_device"></a>--device [d] arg (=0)</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Set the nVidia CUDA device to use (applies only to nv solver). Multiple
-                    devices may be specified in a comma delimited list.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--precision arg (=double)</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Set the floating point precision used.
-                    Values: <code>single</code>, <code>mixed</code>, <code>double</code>.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88solver_restart"></a>--restart [-r]</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Do not use the existing solution as initial value.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88solver_convergence_measure"></a>--convergence_measure [-m] arg (=auto)
-                  </p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Set the convergence measure.
-                    See <a href="#convergence_measure">convergence measure</a> in the section on
-                    solving linear models. For linear models, if <code>auto</code> is selected,
-                    <code>set</code> will be used if a convergence set is defined in the model;
-                    otherwise the fallback is <code>dumax</code>. For elastoplastic models, the
-                    default is always <code>dumax</code>, even when a convergence set is defined.
-                    Values: <code>set</code>, <code>dumax</code>, <code>durms</code>, <code>auto</code>.
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88solver_convergence_tolerance"></a>--convergence_tolerance [-e] arg
-                    (=1E-6)</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Set the convergence tolerance.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88solver_convergence_window"></a>-convergence_window [-w] arg</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Set the linear convergence window.
-                    Convergence is not considered reached until the
-                    convergence measure
-                    remains below the threshold for at least this number
-                    of consecutive iterations.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88solver_plastic_convergence_window"></a>-plastic_convergence_window
-                    [-W] arg</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Set the plastic convergence window.
-                    Plastic convergence is not considered reached until the
-                    convergence measure
-                    remains below the threshold for at least this number
-                    of consecutive iterations.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88solver_maximum_iterations"></a>--maximum_iterations [-n] arg (=30000)
-                  </p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Set maximum number of linear iterations.
-                    Note that for elastoplastic models the count of linear iterations is reset
-                    on each plastic iteration.</p>
-                  <p class="tableblock"> [-N] arg</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88solver_maximum_plastic_iterations"></a>--maximum_plastic_iterations
-                    arg (=1000)</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Set maximum number of plastic iterations.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><a id="n88solver_iterations_file"></a>--iterations_file -i arg</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Specify a file to output all iteration data.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div class="paragraph">
-            <p>The <code>convergence_tolerance</code>, <code>maximum_iterations</code>, and
-              <code>maximum_plastic_iterations</code>
-              may also be set in the input file. If present in both the input
-              file as well as specified on the command line as options to <code>n88solver</code>,
-              the options on the command line to <code>n88solver</code> take precedence.
-            </p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="n88tabulate">9.16. n88tabulate</h3>
-          <div class="paragraph">
-            <p>
-
-
-            </p>
-          </div>
-          <div id="n88tabulate_description" class="paragraph">
-            <div class="title">Description</div>
-            <p>Extract and tabulate values from <a href="#n88postfaim">n88postfaim</a> output files.
-              The result is suitable for importing into a spreadsheet.</p>
-          </div>
-          <div id="n88tabulate_usage" class="listingblock">
-            <div class="title">Usage</div>
-            <div class="content">
-              <pre>n88tabulate [-h] [--variables VARIABLES] [--from FROM] [--header]
+</div>
+</div>
+<div id="n88solver_option_list" class="paragraph">
+<div class="title">Arguments</div>
+<p></p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 30. n88solver arguments</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Argument</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--help [-h]</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Print help and exit.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--version [-v]</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Print version information and exit.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--quiet [-q]</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Suppress output to terminal (except for error messages).</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--license-check [-l]</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Print licensing information.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88solver_engine"></a>--engine [-g] arg (=mt)</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Set the solver engine.  Valid values are
+  <code>mt</code> for the multi-threaded CPU engine and <code>nv</code> for the nVidia GPU engine.
+  Note that a license from Numerics88 Solutions is required to use the GPU
+  engine.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88solver_threads"></a>--threads [-t] arg</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Set the number of threads for the mt engine. If not specified,
+   the number of threads will be set to one per CPU
+   core on the system, or one thread per 2048 elements,
+   whichever is less.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88solver_device"></a>--device [d] arg (=0)</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Set the nVidia CUDA device to use (applies only to nv solver). Multiple
+ devices may be specified in a comma delimited list.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--precision arg (=double)</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Set the floating point precision used.
+  Values: <code>single</code>, <code>mixed</code>, <code>double</code>.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88solver_restart"></a>--restart [-r]</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Do not use the existing solution as initial value.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88solver_convergence_measure"></a>--convergence_measure [-m] arg (=auto)</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Set the convergence measure.
+  See <a href="#convergence_measure">convergence measure</a> in the section on
+  solving linear models. For linear models, if <code>auto</code> is selected,
+  <code>set</code> will be used if a convergence set is defined in the model;
+  otherwise the fallback is <code>dumax</code>. For elastoplastic models, the
+  default is always <code>dumax</code>, even when a convergence set is defined.
+  Values: <code>set</code>, <code>dumax</code>, <code>durms</code>, <code>auto</code>.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88solver_convergence_tolerance"></a>--convergence_tolerance [-e] arg (=1E-6)</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Set the convergence tolerance.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88solver_convergence_window"></a>-convergence_window [-w] arg</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Set the linear convergence window.
+  Convergence is not considered reached until the
+  convergence measure
+  remains below the threshold for at least this number
+  of consecutive iterations.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88solver_plastic_convergence_window"></a>-plastic_convergence_window [-W] arg</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Set the plastic convergence window.
+  Plastic convergence is not considered reached until the
+  convergence measure
+  remains below the threshold for at least this number
+  of consecutive iterations.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88solver_maximum_iterations"></a>--maximum_iterations [-n] arg (=30000)</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Set maximum number of linear iterations.
+  Note that for elastoplastic models the count of linear iterations is reset
+  on each plastic iteration.</p>
+<p class="tableblock"> [-N] arg</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88solver_maximum_plastic_iterations"></a>--maximum_plastic_iterations arg (=1000)</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Set maximum number of plastic iterations.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><a id="n88solver_iterations_file"></a>--iterations_file -i arg</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Specify a file to output all iteration data.</p></td>
+</tr>
+</tbody>
+</table>
+<div class="paragraph">
+<p>The <code>convergence_tolerance</code>, <code>maximum_iterations</code>, and <code>maximum_plastic_iterations</code>
+may also be set in the input file. If present in both the input
+file as well as specified on the command line as options to <code>n88solver</code>,
+the options on the command line to <code>n88solver</code> take precedence.</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="n88tabulate">9.16. n88tabulate</h3>
+<div class="paragraph">
+<p>
+
+
+</p>
+</div>
+<div id="n88tabulate_description" class="paragraph">
+<div class="title">Description</div>
+<p>Extract and tabulate values from <a href="#n88postfaim">n88postfaim</a> output files.
+The result is suitable for importing into a spreadsheet.</p>
+</div>
+<div id="n88tabulate_usage" class="listingblock">
+<div class="title">Usage</div>
+<div class="content">
+<pre>n88tabulate [-h] [--variables VARIABLES] [--from FROM] [--header]
                    [--delimiter DELIMITER] [--output_file OUTPUT_FILE]
                    [input_files [input_files ...]]</pre>
-            </div>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 31. n88tabulate positional arguments</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Option</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">input_files</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock"><code>n88postfaim</code> output files to process. Any number may be
-                    specified, and wildcard expansion of <code>*</code> and <code>?</code> is performed
-                    on systems where the shell does not do this.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 32. n88tabulate optional arguments</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">Option</th>
-                <th class="tableblock halign-left valign-top">Description</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">-h, --help</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">show this help message and exit</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--variables VARIABLES, -V VARIABLES</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">A list of the variables to extract from the input
-                    files. Separate variable names with commas. See below
-                    for a list of valid variable names. If not specified
-                    all possible variables will be selected (this makes
-                    for a very large table).</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--from FROM, -f FROM</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Obtain the list of variables from the first line of a
-                    text file. The variable names may be separated by any
-                    kind of delimiter (white space or commas). Note that
-                    an output file (from n88tabulate, generated with the
-                    <code>--header</code> option) can be used as a <code>--from</code> argument, in
-                    which case the same selection of variables will be
-                    used.
-                  </p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--header, -H</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Print a header line first. May be used even if no
-                    input files are specified.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--delimiter DELIMITER, -d DELIMITER</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Delimiter character to separate columns. Default is a
-                    tab (&#8220;\t&#8221;).</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">--output_file OUTPUT_FILE, -o OUTPUT_FILE</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Output file. If not specified, output will go to
-                    STDOUT.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div class="paragraph">
-            <p>For any variables not found in the analysis file, a dash (&#8220;-&#8221;) will be
-              inserted into the output table.</p>
-          </div>
-          <div id="n88tabulate_examples" class="paragraph">
-            <div class="title">Examples</div>
-            <p>In the following example, every possible variable will be extracted from
-              every file ending in &#8220;_analysis.txt&#8221; in the directory. This will result
-              in a very large number of values. The output will be written to the file
-              <code>summary.txt</code>.
-            </p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>n88tabulate -H -o summary.txt *_analysis.txt</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>In the following example, we request the total forces along the z direction
-              on the first two node sets for two different analysis files.</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>$ n88tabulate -H -V "filename,fz_ns1,fz_ns2" test25a_analysis.txt test42a_analysis.txt
+</div>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 31. n88tabulate positional arguments</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Option</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">input_files</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock"><code>n88postfaim</code> output files to process. Any number may be
+                        specified, and wildcard expansion of <code>*</code> and <code>?</code> is performed
+                        on systems where the shell does not do this.</p></td>
+</tr>
+</tbody>
+</table>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 32. n88tabulate optional arguments</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">Option</th>
+<th class="tableblock halign-left valign-top">Description</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">-h, --help</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">show this help message and exit</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--variables VARIABLES, -V VARIABLES</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">A list of the variables to extract from the input
+                        files. Separate variable names with commas. See below
+                        for a list of valid variable names.  If not specified
+                        all possible variables will be selected (this makes
+                        for a very large table).</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--from FROM, -f FROM</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Obtain the list of variables from the first line of a
+                        text file. The variable names may be separated by any
+                        kind of delimiter (white space or commas). Note that
+                        an output file (from n88tabulate, generated with the
+                        <code>--header</code> option) can be used as a <code>--from</code> argument, in
+                        which case the same selection of variables will be
+                        used.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--header, -H</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Print a header line first. May be used even if no
+                        input files are specified.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--delimiter DELIMITER, -d DELIMITER</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Delimiter character to separate columns. Default is a
+                        tab (&#8220;\t&#8221;).</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">--output_file OUTPUT_FILE, -o OUTPUT_FILE</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Output file. If not specified, output will go to
+                        STDOUT.</p></td>
+</tr>
+</tbody>
+</table>
+<div class="paragraph">
+<p>For any variables not found in the analysis file, a dash (&#8220;-&#8221;) will be
+inserted into the output table.</p>
+</div>
+<div id="n88tabulate_examples" class="paragraph">
+<div class="title">Examples</div>
+<p>In the following example, every possible variable will be extracted from
+every file ending in &#8220;_analysis.txt&#8221; in the directory.  This will result
+in a very large number of values.  The output will be written to the file
+<code>summary.txt</code>.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88tabulate -H -o summary.txt *_analysis.txt</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>In the following example, we request the total forces along the z direction
+on the first two node sets for two different analysis files.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88tabulate -H -V "filename,fz_ns1,fz_ns2" test25a_analysis.txt test42a_analysis.txt
 filename	fz_ns1	fz_ns2
 test25a_uniaxial.n88model	-0.1019E+02	0.1019E+02
 test42a_uniaxial.n88model	-0.4641E+02	0.4641E+02</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>The following example is exactly the same, but the output goes to a file.</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>n88tabulate -H -V "filename,fz_ns1,fz_ns2" -o summary.txt test25a_analysis.txt test42a_analysis.txt</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>Now suppose we want the same selection of variables on a different
-              analysis file, we could do the following. Notice that we are getting the
-              list of variables from the existing file <code>summary.txt</code>.</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>$ n88tabulate -H --from summary.txt test99a_analysis.txt
+</div>
+</div>
+<div class="paragraph">
+<p>The following example is exactly the same, but the output goes to a file.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88tabulate -H -V "filename,fz_ns1,fz_ns2" -o summary.txt test25a_analysis.txt test42a_analysis.txt</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>Now suppose we want the same selection of variables on a different
+analysis file, we could do the following.  Notice that we are getting the
+list of variables from the existing file <code>summary.txt</code>.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88tabulate -H --from summary.txt test99a_analysis.txt
 filename    fz_ns1  fz_ns2
 test99a_uniaxial.n88model   -0.6442E+02     0.6442E+02</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>In the following example, we are interested in the strain energy density,
-              and request some statistical values. We also use a comma as the delimiter.</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>$ n88tabulate -H -d ',' -V "sed_avg,sed_stddev,sed_skew,sed_kurt" analysis.txt
+</div>
+</div>
+<div class="paragraph">
+<p>In the following example, we are interested in the strain energy density,
+and request some statistical values.  We also use a comma as the delimiter.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ n88tabulate -H -d ',' -V "sed_avg,sed_stddev,sed_skew,sed_kurt" analysis.txt
 sed_avg,sed_stddev,sed_skew,sed_kurt
 0.2990E+00,0.1127E+00,-0.1512E+01,0.8999E+00</pre>
-            </div>
-          </div>
-          <div id="n88tabulate_variables" class="paragraph">
-            <div class="title">Variables</div>
-            <p>In the variable list, certain variables can take one or more numeric indices.
-              This is denoted with <code>%</code>. For example, for <code>id_mat%m</code>, actual variable names
-              are <code>id_mat1</code> for the first defined material, <code>id_mat2</code> for the second
-              defined material, and so on. Similarly for <code>dx_avg_ns%n</code>, actual variables
-              names are <code>dx_avg_ns1</code> for the first node set, <code>dx_avg_ns2</code> for the second
-              node set, and so on.</p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 33. Variables corresponding to values in table &#8220;Model Input&#8221;
-            </caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">variable name</th>
-                <th class="tableblock halign-left valign-top">value in analysis file table</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">filename</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Filename</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">num_els</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Number of elements</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">num_nodes</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Number of nodes</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div class="paragraph">
-            <p>Refer to <a href="#n88postfaim_model_input">Model Input</a>.</p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 34. Variables corresponding to values in table &#8220;Materials&#8221;
-            </caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">variable name</th>
-                <th class="tableblock halign-left valign-top">value in analysis file table</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">mats_mats</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Number of materials</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">id_mat%m</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The material ID of the m<sup>th</sup> defined material</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">count_mat%m</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">Number of elements for the m<sup>th</sup> defined material</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div class="paragraph">
-            <p>Refer to <a href="#n88postfaim_materials">Materials</a>.</p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 35. Variables corresponding to values in table &#8220;Post-processing
-              Sets&#8221;</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">variable name</th>
-                <th class="tableblock halign-left valign-top">value in analysis file table</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">num_pp_sets</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The number of sets used in post-processing.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div class="paragraph">
-            <p>Refer to <a href="#n88postfaim_postprocessing_sets">Post-processing sets</a>.</p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 36. Variables corresponding to values in table &#8220;Strain Energy
-              Density&#8221;</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">variable name</th>
-                <th class="tableblock halign-left valign-top">value in analysis file table</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">sed_avg</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">average (all materials)</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">sed_stddev</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">std_dev (all materials)</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">sed_skew</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">skewness (all materials)</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">sed_kurt</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">kurtosis (all materials)</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">sed_min</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">minimum (all materials)</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">sed_max</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">maximum (all materials)</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">sed_median</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">median (all materials)</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">sed_avg_mat%m</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">average over the m<sup>th</sup> defined material</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">sed_stddev_mat%m</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">sed_dev over the m<sup>th</sup> defined material</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">sed_skew_mat%m</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">skewness over the m<sup>th</sup> defined material</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">sed_kurt_mat%m</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">kurtosis over the m<sup>th</sup> defined material</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">sed_min_mat%m</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">minimum over the m<sup>th</sup> defined material</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">sed_max_mat%m</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">maximum over the m<sup>th</sup> defined material</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">sed_median_mat%m</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">median over the m<sup>th</sup> defined material</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div class="paragraph">
-            <p>Refer to <a href="#n88postfaim_strain_energy_density">Strain Energy Density</a>.</p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 37. Variables corresponding to values in table &#8220;Von Mises Stress&#8221;
-            </caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">variable name</th>
-                <th class="tableblock halign-left valign-top">value in analysis file table</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">svm_avg</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">average (all materials)</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">svm_stddev</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">std_dev (all materials)</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">svm_skew</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">skewness (all materials)</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">svm_kurt</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">kurtosis (all materials)</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">svm_min</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">minimum (all materials)</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">svm_max</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">maximum (all materials)</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">svm_median</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">median (all materials)</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">svm_avg_mat%m</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">average over the m<sup>th</sup> defined material</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">svm_stddev_mat%m</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">svm_dev over the m<sup>th</sup> defined material</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">svm_skew_mat%m</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">skewness over the m<sup>th</sup> defined material</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">svm_kurt_mat%m</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">kurtosis over the m<sup>th</sup> defined material</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">svm_min_mat%m</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">minimum over the m<sup>th</sup> defined material</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">svm_max_mat%m</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">maximum over the m<sup>th</sup> defined material</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">svm_median_mat%m</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">median over the m<sup>th</sup> defined material</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div class="paragraph">
-            <p>Refer to <a href="#n88postfaim_von_mises_stress">Von Mises Stress</a>.</p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 38. Variables corresponding to values in table &#8220;Nodal
-              Displacements&#8221;</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">variable name</th>
-                <th class="tableblock halign-left valign-top">value in analysis file table</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">dx_avg_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The average displacement in the x direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">dx_stddev_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The standard deviation of the displacement in the x
-                    direction over all nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">dx_min_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The minimum displacement in the x direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">dx_max_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The maximum displacement in the x direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">dx_median_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The median displacement in the x direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">dy_avg_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The average displacement in the y direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">dy_stddev_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The standard deviation of the displacement in the y
-                    direction over all nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">dy_min_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The minimum displacement in the y direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">dy_max_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The maximum displacement in the y direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">dy_median_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The median displacement in the y direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">dz_avg_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The average displacement in the z direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">dz_stddev_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The standard deviation of the displacement in the z
-                    direction over all nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">dz_min_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The minimum displacement in the z direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">dz_max_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The maximum displacement in the z direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">dz_median_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The median displacement in the z direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div class="paragraph">
-            <p>Refer to <a href="#n88postfaim_nodal_displacements">Nodal Displacements</a>.</p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 39. Variables corresponding to values in table &#8220;Nodal Forces&#8221;
-            </caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">variable name</th>
-                <th class="tableblock halign-left valign-top">value in analysis file table</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">fx_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The total force in the x direction over all nodes in
-                    the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">fx_stddev_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The standard deviation of the force in the x
-                    direction over all nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">fx_min_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The minimum force in the x direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">fx_max_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The maximum force in the x direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">fx_median_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The median force in the x direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">fy_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The total force in the y direction over all nodes in
-                    the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">fy_stddev_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The standard deviation of the force in the y
-                    direction over all nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">fy_min_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The minimum force in the y direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">fy_max_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The maximum force in the y direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">fy_median_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The median force in the y direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">fz_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The total force in the z direction over all nodes in
-                    the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">fz_stddev_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The standard deviation of the force in the z
-                    direction over all nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">fz_min_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The minimum force in the z direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">fz_max_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The maximum force in the z direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">fz_median_ns%n</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The median force in the z direction over all
-                    nodes in the n<sup>th</sup> node set.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div class="paragraph">
-            <p>Refer to <a href="#n88postfaim_nodal_forces">Nodal Forces</a>.</p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 40. Variables corresponding to values in table &#8220;Load Sharing&#8221;
-            </caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">variable name</th>
-                <th class="tableblock halign-left valign-top">value in analysis file table</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">fx_ns%n_mat%m</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The force in the x direction over nodes in the n<sup>th</sup> node
-                    set, summed over nodes belonging to the m<sup>th</sup> defined
-                    material.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">fy_ns%n_mat%m</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The force in the y direction over nodes in the n<sup>th</sup> node
-                    set, summed over nodes belonging to the m<sup>th</sup> defined
-                    material.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">fz_ns%n_mat%m</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The force in the z direction over nodes in the n<sup>th</sup> node
-                    set, summed over nodes belonging to the m<sup>th</sup> defined
-                    material.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div class="paragraph">
-            <p>Refer to <a href="#n88postfaim_load_sharing">Load Sharing</a>.</p>
-          </div>
-          <table class="tableblock frame-all grid-all stretch">
-            <caption class="title">Table 41. Variables corresponding to values in table &#8220;Pistoia Failure Load
-              Estimate&#8221;</caption>
-            <colgroup>
-              <col style="width: 28.5714%;">
-              <col style="width: 71.4286%;">
-            </colgroup>
-            <thead>
-              <tr>
-                <th class="tableblock halign-left valign-top">variable name</th>
-                <th class="tableblock halign-left valign-top">value in analysis file table</th>
-              </tr>
-            </thead>
-            <tbody>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">pis_stiffx</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The stiffness in the x direction.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">pis_stiffy</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The stiffness in the y direction.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">pis_stiffz</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The stiffness in the z direction.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">pis_fx_fail</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The estimated failure load in the <em>x</em> direction.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">pis_fy_fail</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The estimated failure load in the <em>y</em> direction.</p>
-                </td>
-              </tr>
-              <tr>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">pis_fz_fail</p>
-                </td>
-                <td class="tableblock halign-left valign-top">
-                  <p class="tableblock">The estimated failure load in the <em>z</em> direction.</p>
-                </td>
-              </tr>
-            </tbody>
-          </table>
-          <div class="admonitionblock note">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/note.png" alt="Note">
-                </td>
-                <td class="content">
-                  The Pistoia Failure Load Estimate table is no longer generated by
-                  n88postfaim, but may be generated by the tool n88pistoia if desired.
-                  The corresponding variables are by default not included, unless a variable
-                  list which includes them is specified.
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>Refer to <a href="#n88postfaim_pistoia_failure_load">Pistoia Failure Load Estimate</a> and <a
-                href="#n88pistoia">n88pistoia</a>.</p>
-          </div>
-        </div>
-      </div>
-    </div>
-    <div class="sect1">
-      <h2 id="upgrading_from_previous_versions">Appendix A: Upgrading from previous versions</h2>
-      <div class="sectionbody">
-        <div class="sect2">
-          <h3 id="upgrading_from_version_7">A.1. Upgrading from Faim version 7</h3>
-          <div class="sect3">
-            <h4 id="_changing_from_vtkn88_to_vtkbone">A.1.1. Changing from <code>vtkn88</code> to <code>vtkbone</code>
-            </h4>
-            <div class="paragraph">
-              <p>In version 8, the closed-source <code>vtkn88</code> is replaced with the open-source
-                <code>vtkbone</code>.
-                Therefore, in all your python scripts, you will have to search for <code>vtkn88</code>
-                and replace it with <code>vtkbone</code>. (Similarly for the capitalized versions: <code>VTKN88</code>
-                &#8594;
-                <code>VTKBONE</code>.)
-              </p>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="upgrading_from_version_6">A.2. Upgrading from Faim version 6</h3>
-          <div class="sect3">
-            <h4 id="updating_version_6_scripts">A.2.1. Updating version 6 <code>vtkn88</code> scripts to work with
-              version 7</h4>
-            <div class="paragraph">
-              <p><code>vtkn88</code> is now based on VTK version 6. Many of the example scripts in <code>vtkn88</code>
-                version 6 and earlier used the VTK method <code>SetInput</code>, which has been deprecated and replaced
-                with <code>SetInputData</code>. Simply replacing <code>SetInput</code> with <code>SetInputData</code>
-                is sufficient to fix these scripts.</p>
-            </div>
-            <div class="paragraph">
-              <p>For example, here is a simple operation, in Python, that writes a n88model file.
-                This is the version 6 version:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>writer = vtkn88.vtkn88N88ModelWriter()
+</div>
+</div>
+<div id="n88tabulate_variables" class="paragraph">
+<div class="title">Variables</div>
+<p>In the variable list, certain variables can take one or more numeric indices.
+This is denoted with <code>%</code>.  For example, for <code>id_mat%m</code>, actual variable names
+are <code>id_mat1</code> for the first defined material, <code>id_mat2</code> for the second
+defined material, and so on.  Similarly for <code>dx_avg_ns%n</code>, actual variables
+names are <code>dx_avg_ns1</code> for the first node set, <code>dx_avg_ns2</code> for the second
+node set, and so on.</p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 33. Variables corresponding to values in table &#8220;Model Input&#8221;</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">variable name</th>
+<th class="tableblock halign-left valign-top">value in analysis file table</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">filename</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Filename</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">num_els</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Number of elements</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">num_nodes</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Number of nodes</p></td>
+</tr>
+</tbody>
+</table>
+<div class="paragraph">
+<p>Refer to <a href="#n88postfaim_model_input">Model Input</a>.</p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 34. Variables corresponding to values in table &#8220;Materials&#8221;</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">variable name</th>
+<th class="tableblock halign-left valign-top">value in analysis file table</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">mats_mats</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Number of materials</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">id_mat%m</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The material ID of the m<sup>th</sup> defined material</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">count_mat%m</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">Number of elements for the m<sup>th</sup> defined material</p></td>
+</tr>
+</tbody>
+</table>
+<div class="paragraph">
+<p>Refer to <a href="#n88postfaim_materials">Materials</a>.</p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 35. Variables corresponding to values in table &#8220;Post-processing Sets&#8221;</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">variable name</th>
+<th class="tableblock halign-left valign-top">value in analysis file table</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">num_pp_sets</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The number of sets used in post-processing.</p></td>
+</tr>
+</tbody>
+</table>
+<div class="paragraph">
+<p>Refer to <a href="#n88postfaim_postprocessing_sets">Post-processing sets</a>.</p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 36. Variables corresponding to values in table &#8220;Strain Energy Density&#8221;</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">variable name</th>
+<th class="tableblock halign-left valign-top">value in analysis file table</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">sed_avg</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">average (all materials)</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">sed_stddev</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">std_dev (all materials)</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">sed_skew</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">skewness (all materials)</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">sed_kurt</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">kurtosis (all materials)</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">sed_min</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">minimum (all materials)</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">sed_max</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">maximum (all materials)</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">sed_median</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">median (all materials)</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">sed_avg_mat%m</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">average over the m<sup>th</sup> defined material</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">sed_stddev_mat%m</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">sed_dev over the m<sup>th</sup> defined material</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">sed_skew_mat%m</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">skewness over the m<sup>th</sup> defined material</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">sed_kurt_mat%m</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">kurtosis over the m<sup>th</sup> defined material</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">sed_min_mat%m</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">minimum over the m<sup>th</sup> defined material</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">sed_max_mat%m</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">maximum over the m<sup>th</sup> defined material</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">sed_median_mat%m</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">median over the m<sup>th</sup> defined material</p></td>
+</tr>
+</tbody>
+</table>
+<div class="paragraph">
+<p>Refer to <a href="#n88postfaim_strain_energy_density">Strain Energy Density</a>.</p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 37. Variables corresponding to values in table &#8220;Von Mises Stress&#8221;</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">variable name</th>
+<th class="tableblock halign-left valign-top">value in analysis file table</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">svm_avg</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">average (all materials)</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">svm_stddev</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">std_dev (all materials)</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">svm_skew</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">skewness (all materials)</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">svm_kurt</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">kurtosis (all materials)</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">svm_min</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">minimum (all materials)</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">svm_max</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">maximum (all materials)</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">svm_median</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">median (all materials)</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">svm_avg_mat%m</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">average over the m<sup>th</sup> defined material</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">svm_stddev_mat%m</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">svm_dev over the m<sup>th</sup> defined material</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">svm_skew_mat%m</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">skewness over the m<sup>th</sup> defined material</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">svm_kurt_mat%m</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">kurtosis over the m<sup>th</sup> defined material</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">svm_min_mat%m</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">minimum over the m<sup>th</sup> defined material</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">svm_max_mat%m</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">maximum over the m<sup>th</sup> defined material</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">svm_median_mat%m</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">median over the m<sup>th</sup> defined material</p></td>
+</tr>
+</tbody>
+</table>
+<div class="paragraph">
+<p>Refer to <a href="#n88postfaim_von_mises_stress">Von Mises Stress</a>.</p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 38. Variables corresponding to values in table &#8220;Nodal Displacements&#8221;</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">variable name</th>
+<th class="tableblock halign-left valign-top">value in analysis file table</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">dx_avg_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The average displacement in the x direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">dx_stddev_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The standard deviation of the displacement in the x
+                     direction over all nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">dx_min_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The minimum displacement in the x direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">dx_max_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The maximum displacement in the x direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">dx_median_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The median displacement in the x direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">dy_avg_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The average displacement in the y direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">dy_stddev_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The standard deviation of the displacement in the y
+                     direction over all nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">dy_min_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The minimum displacement in the y direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">dy_max_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The maximum displacement in the y direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">dy_median_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The median displacement in the y direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">dz_avg_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The average displacement in the z direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">dz_stddev_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The standard deviation of the displacement in the z
+                     direction over all nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">dz_min_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The minimum displacement in the z direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">dz_max_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The maximum displacement in the z direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">dz_median_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The median displacement in the z direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+</tbody>
+</table>
+<div class="paragraph">
+<p>Refer to <a href="#n88postfaim_nodal_displacements">Nodal Displacements</a>.</p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 39. Variables corresponding to values in table &#8220;Nodal Forces&#8221;</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">variable name</th>
+<th class="tableblock halign-left valign-top">value in analysis file table</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">fx_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The total force in the x direction over all nodes in
+                     the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">fx_stddev_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The standard deviation of the force in the x
+                     direction over all nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">fx_min_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The minimum force in the x direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">fx_max_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The maximum force in the x direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">fx_median_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The median force in the x direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">fy_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The total force in the y direction over all nodes in
+                     the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">fy_stddev_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The standard deviation of the force in the y
+                     direction over all nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">fy_min_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The minimum force in the y direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">fy_max_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The maximum force in the y direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">fy_median_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The median force in the y direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">fz_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The total force in the z direction over all nodes in
+                     the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">fz_stddev_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The standard deviation of the force in the z
+                     direction over all nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">fz_min_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The minimum force in the z direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">fz_max_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The maximum force in the z direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">fz_median_ns%n</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The median force in the z direction over all
+                     nodes in the n<sup>th</sup> node set.</p></td>
+</tr>
+</tbody>
+</table>
+<div class="paragraph">
+<p>Refer to <a href="#n88postfaim_nodal_forces">Nodal Forces</a>.</p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 40. Variables corresponding to values in table &#8220;Load Sharing&#8221;</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">variable name</th>
+<th class="tableblock halign-left valign-top">value in analysis file table</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">fx_ns%n_mat%m</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The force in the x direction over nodes in the n<sup>th</sup> node
+                     set, summed over nodes belonging to the m<sup>th</sup> defined
+                     material.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">fy_ns%n_mat%m</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The force in the y direction over nodes in the n<sup>th</sup> node
+                     set, summed over nodes belonging to the m<sup>th</sup> defined
+                     material.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">fz_ns%n_mat%m</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The force in the z direction over nodes in the n<sup>th</sup> node
+                     set, summed over nodes belonging to the m<sup>th</sup> defined
+                     material.</p></td>
+</tr>
+</tbody>
+</table>
+<div class="paragraph">
+<p>Refer to <a href="#n88postfaim_load_sharing">Load Sharing</a>.</p>
+</div>
+<table class="tableblock frame-all grid-all stretch">
+<caption class="title">Table 41. Variables corresponding to values in table &#8220;Pistoia Failure Load Estimate&#8221;</caption>
+<colgroup>
+<col style="width: 28.5714%;">
+<col style="width: 71.4286%;">
+</colgroup>
+<thead>
+<tr>
+<th class="tableblock halign-left valign-top">variable name</th>
+<th class="tableblock halign-left valign-top">value in analysis file table</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">pis_stiffx</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The stiffness in the x direction.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">pis_stiffy</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The stiffness in the y direction.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">pis_stiffz</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The stiffness in the z direction.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">pis_fx_fail</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The estimated failure load in the <em>x</em> direction.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">pis_fy_fail</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The estimated failure load in the <em>y</em> direction.</p></td>
+</tr>
+<tr>
+<td class="tableblock halign-left valign-top"><p class="tableblock">pis_fz_fail</p></td>
+<td class="tableblock halign-left valign-top"><p class="tableblock">The estimated failure load in the <em>z</em> direction.</p></td>
+</tr>
+</tbody>
+</table>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+The Pistoia Failure Load Estimate table is no longer generated by
+n88postfaim, but may be generated by the tool n88pistoia if desired.
+The corresponding variables are by default not included, unless a variable
+list which includes them is specified.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Refer to <a href="#n88postfaim_pistoia_failure_load">Pistoia Failure Load Estimate</a> and <a href="#n88pistoia">n88pistoia</a>.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="sect1">
+<h2 id="upgrading_from_previous_versions">Appendix A: Upgrading from previous versions</h2>
+<div class="sectionbody">
+<div class="sect2">
+<h3 id="upgrading_from_version_7">A.1. Upgrading from Faim version 7</h3>
+<div class="sect3">
+<h4 id="_changing_from_vtkn88_to_vtkbone">A.1.1. Changing from <code>vtkn88</code> to <code>vtkbone</code></h4>
+<div class="paragraph">
+<p>In version 8, the closed-source <code>vtkn88</code> is replaced with the open-source <code>vtkbone</code>.
+Therefore, in all your python scripts, you will have to search for <code>vtkn88</code>
+and replace it with <code>vtkbone</code>. (Similarly for the capitalized versions: <code>VTKN88</code> &#8594;
+<code>VTKBONE</code>.)</p>
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="upgrading_from_version_6">A.2. Upgrading from Faim version 6</h3>
+<div class="sect3">
+<h4 id="updating_version_6_scripts">A.2.1. Updating version 6 <code>vtkn88</code> scripts to work with version 7</h4>
+<div class="paragraph">
+<p><code>vtkn88</code> is now based on VTK version 6.  Many of the example scripts in <code>vtkn88</code>
+version 6 and earlier used the VTK method <code>SetInput</code>, which has been deprecated and replaced with <code>SetInputData</code>. Simply replacing <code>SetInput</code> with <code>SetInputData</code>
+is sufficient to fix these scripts.</p>
+</div>
+<div class="paragraph">
+<p>For example, here is a simple operation, in Python, that writes a n88model file.
+This is the version 6 version:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>writer = vtkn88.vtkn88N88ModelWriter()
 writer.SetInput(model)
 writer.SetFileName(output_file)
 writer.Update()</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>For version 7, it needs to be updated to:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>writer = vtkn88.vtkn88N88ModelWriter()
+</div>
+</div>
+<div class="paragraph">
+<p>For version 7, it needs to be updated to:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>writer = vtkn88.vtkn88N88ModelWriter()
 writer.SetInputData(model)
 writer.SetFileName(output_file)
 writer.Update()</pre>
-              </div>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="upgrading_from_version_5">A.3. Upgrading from Faim version 5</h3>
-          <div class="sect3">
-            <h4 id="converting_version_5_file_formats">A.3.1. Converting Faim version 5 file formats</h4>
-            <div class="paragraph">
-              <p>
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>Faim version 5 used two file formats: <code>.inp</code> files for input files to faim,
-                and <code>.dat</code> files for output. These can be upgraded to version 6 style
-                <code>n88model</code> files with the <a href="#n88copymodel">n88copymodel</a> tool. You may
-                want to upgrade old archived files. Besides being much more space efficient,
-                the new file format is also more robust. It is also standards-compliant,
-                and is more easily read with third party software. (See <a href="#n88model_file_format">n88model File
-                  Format</a>.)
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>To convert a version 5 style file, use <a href="#n88copymodel">n88copymodel</a> like this,</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88copymodel olddata.inp newdata.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>You can also specify that compression be used in writing the <code>n88model</code>
-                file, like this</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88copymodel --compress olddata.inp newdata.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Compressed <code>n88model</code> files take less disk space, but are slower to read
-                and particularly to write. They are otherwise identical to uncompressed
-                <code>n88model</code> files. You never need to uncompress them before using them.
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>Version 5 <code>.dat</code> output files are somewhat more problematic to convert
-                to version 6 <code>n88model</code> files, because the <code>.dat</code> files do not contain the
-                complete model information. In particular, they lack any information
-                about material parameters or about boundary conditions or applied loads.
-                Nevertheless, if you have only a <code>.dat</code> file, it is still possible to convert
-                it to a <code>n88model</code> file, but the resulting model will be incomplete. It can
-                be opened and visualized with ParaView, and it is possible to read the
-                solution fields out of it, but it cannot be re-solved, nor can it be processed
-                with <a href="#n88postfaim">n88postfaim</a>.</p>
-            </div>
-            <div class="paragraph">
-              <p>A <code>.dat</code> file can be converted with</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88copymodel olddata.dat newdata.n88model</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>As before, you may optionally specify <code>--compress</code>.</p>
-            </div>
-            <div class="paragraph">
-              <p>If you have both the original <code>.inp</code> and the <code>.dat</code> file, they can be
-                converted to a single <code>n88model</code> file by specifying both as input arguments,</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>n88copymodel olddata.inp olddata.dat newdata.n88model <img src="./images/icons/callouts/1.png" alt="1"></pre>
-              </div>
-            </div>
-            <div class="colist arabic">
-              <table>
-                <tr>
-                  <td><img src="./images/icons/callouts/1.png" alt="1"></td>
-                  <td>The order is important: the <code>.inp</code> should be specified first.</td>
-                </tr>
-              </table>
-            </div>
-            <div class="paragraph">
-              <p>This will create a <code>n88model</code> file that can used either as a complete input
-                file to <code>n88solver</code>, should you wish to solve it again, and that also
-                contains the complete solution fields.</p>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="updating_version_5_scripts">A.3.2. Updating 5 <code>vtkn88</code> scripts to work with 6</h4>
-            <div class="paragraph">
-              <p>
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>Here we outline the steps required to update a version 5.x <code>vtkn88</code>
-                script to work in 6.0 . We do not document all the changes and additions
-                to <code>vtkn88</code> in 6.0, instead we only concentrate on those changes that must
-                be made to get old scripts to work correctly in 6.0</p>
-            </div>
-            <div class="ulist">
-              <ul>
-                <li>
-                  <p><code>vtkn88Material</code> instances should be assigned a name.</p>
-                </li>
-              </ul>
-            </div>
-            <div class="paragraph">
-              <p>All materials are now required to have a unique name. In fact, if you
-                don&#8217;t explicitly set a name, <code>vtkn88</code> will assign a unique name for you,
-                but it will be an uninformative name such as &#8220;NewMaterial1&#8221;. Names can
-                be assigned like this:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>bone_material = vtkn88.vtkn88LinearIsotropicMaterial()
+</div>
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="upgrading_from_version_5">A.3. Upgrading from Faim version 5</h3>
+<div class="sect3">
+<h4 id="converting_version_5_file_formats">A.3.1. Converting Faim version 5 file formats</h4>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>Faim version 5 used two file formats: <code>.inp</code> files for input files to faim,
+and <code>.dat</code> files for output.  These can be upgraded to version 6 style
+<code>n88model</code> files with the <a href="#n88copymodel">n88copymodel</a> tool.  You may
+want to upgrade old archived files.  Besides being much more space efficient,
+the new file format is also more robust.  It is also standards-compliant,
+and is more easily read with third party software.  (See <a href="#n88model_file_format">n88model File Format</a>.)</p>
+</div>
+<div class="paragraph">
+<p>To convert a version 5 style file, use <a href="#n88copymodel">n88copymodel</a> like this,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88copymodel olddata.inp newdata.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>You can also specify that compression be used in writing the <code>n88model</code>
+file, like this</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88copymodel --compress olddata.inp newdata.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>Compressed <code>n88model</code> files take less disk space, but are slower to read
+and particularly to write.  They are otherwise identical to uncompressed
+<code>n88model</code> files. You never need to uncompress them before using them.</p>
+</div>
+<div class="paragraph">
+<p>Version 5 <code>.dat</code> output files are somewhat more problematic to convert
+to version 6 <code>n88model</code> files, because the <code>.dat</code> files do not contain the
+complete model information.  In particular, they lack any information
+about material parameters or about boundary conditions or applied loads.
+Nevertheless, if you have only a <code>.dat</code> file, it is still possible to convert
+it to a <code>n88model</code> file, but the resulting model will be incomplete.  It can
+be opened and visualized with ParaView, and it is possible to read the
+solution fields out of it, but it cannot be re-solved, nor can it be processed
+with <a href="#n88postfaim">n88postfaim</a>.</p>
+</div>
+<div class="paragraph">
+<p>A <code>.dat</code> file can be converted with</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88copymodel olddata.dat newdata.n88model</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>As before, you may optionally specify <code>--compress</code>.</p>
+</div>
+<div class="paragraph">
+<p>If you have both the original <code>.inp</code> and the <code>.dat</code> file, they can be
+converted to a single <code>n88model</code> file by specifying both as input arguments,</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>n88copymodel olddata.inp olddata.dat newdata.n88model <img src="./images/icons/callouts/1.png" alt="1"></pre>
+</div>
+</div>
+<div class="colist arabic">
+<table>
+<tr>
+<td><img src="./images/icons/callouts/1.png" alt="1"></td>
+<td>The order is important: the <code>.inp</code> should be specified first.</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>This will create a <code>n88model</code> file that can used either as a complete input
+file to <code>n88solver</code>, should you wish to solve it again, and that also
+contains the complete solution fields.</p>
+</div>
+</div>
+<div class="sect3">
+<h4 id="updating_version_5_scripts">A.3.2. Updating 5 <code>vtkn88</code> scripts to work with 6</h4>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>Here we outline the steps required to update a version 5.x <code>vtkn88</code>
+script to work in 6.0 .  We do not document all the changes and additions
+to <code>vtkn88</code> in 6.0, instead we only concentrate on those changes that must
+be made to get old scripts to work correctly in 6.0</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p><code>vtkn88Material</code> instances should be assigned a name.</p>
+</li>
+</ul>
+</div>
+<div class="paragraph">
+<p>All materials are now required to have a unique name.  In fact, if you
+don&#8217;t explicitly set a name, <code>vtkn88</code> will assign a unique name for you,
+but it will be an uninformative name such as &#8220;NewMaterial1&#8221;.  Names can
+be assigned like this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>bone_material = vtkn88.vtkn88LinearIsotropicMaterial()
 bone_material.SetName("bone")</pre>
-              </div>
-            </div>
-            <div class="ulist">
-              <ul>
-                <li>
-                  <p>Method <code>SetModelSourceDescription</code> of <code>vtkn88FiniteElementModel</code> is
-                    deprecated.</p>
-                </li>
-              </ul>
-            </div>
-            <div class="paragraph">
-              <p>Having this method present will not prevent the scripts from running, but
-                will generate a warning message. The functionality is now encompassed
-                by the Log field of <code>vtkn88FiniteElementModel</code> , which allows
-                a much greater amount of information to be recorded.</p>
-            </div>
-            <div class="ulist">
-              <ul>
-                <li>
-                  <p>Method <code>NodeIdsFromSelection</code> of <code>vtkn88FiniteElementModel</code> is deprecated.
-                  </p>
-                </li>
-              </ul>
-            </div>
-            <div class="paragraph">
-              <p>Use the method <code>GetNodeSet</code> instead.</p>
-            </div>
-            <div class="ulist">
-              <ul>
-                <li>
-                  <p>Method <code>CreateDisplacementConstraint</code> of <code>vtkn88FiniteElementModel</code> is
-                    renamed to <code>ApplyBoundaryCondition</code>.</p>
-                </li>
-                <li>
-                  <p>Method <code>CreateFixedConstraint</code> of <code>vtkn88FiniteElementModel</code> is renamed to
-                    <code>FixNodes</code>.
-                  </p>
-                </li>
-                <li>
-                  <p>Method <code>CreateForceConstraint</code> of <code>vtkn88FiniteElementModel</code> is renamed to
-                    <code>ApplyLoad</code>.
-                  </p>
-                </li>
-                <li>
-                  <p>Method <code>DataSetFromSelection</code> of <code>vtkn88FiniteElementModel</code> is deprecated.
-                  </p>
-                </li>
-              </ul>
-            </div>
-            <div class="paragraph">
-              <p>Use either <code>DataSetFromNodeSet</code> or <code>DataSetFromElementSet</code>.</p>
-            </div>
-            <div class="ulist">
-              <ul>
-                <li>
-                  <p>Method <code>PolyDataFromSelection</code> of <code>vtkn88FiniteElementModel</code> is deprecated.
-                  </p>
-                </li>
-              </ul>
-            </div>
-            <div class="paragraph">
-              <p>You can duplicate this functionality as follows. Instead of</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>visible_bone_vertices = model.PolyDataFromSelection("bone_top")</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>the following code can be used instead:</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>reduceToPolyData = vtk.vtkGeometryFilter()
+</div>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p>Method <code>SetModelSourceDescription</code> of <code>vtkn88FiniteElementModel</code> is deprecated.</p>
+</li>
+</ul>
+</div>
+<div class="paragraph">
+<p>Having this method present will not prevent the scripts from running, but
+will generate a warning message.  The functionality is now encompassed
+by the Log field of <code>vtkn88FiniteElementModel</code> , which allows
+a much greater amount of information to be recorded.</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p>Method <code>NodeIdsFromSelection</code> of <code>vtkn88FiniteElementModel</code> is deprecated.</p>
+</li>
+</ul>
+</div>
+<div class="paragraph">
+<p>Use the method <code>GetNodeSet</code> instead.</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p>Method <code>CreateDisplacementConstraint</code> of <code>vtkn88FiniteElementModel</code> is renamed to <code>ApplyBoundaryCondition</code>.</p>
+</li>
+<li>
+<p>Method <code>CreateFixedConstraint</code> of <code>vtkn88FiniteElementModel</code> is renamed to <code>FixNodes</code>.</p>
+</li>
+<li>
+<p>Method <code>CreateForceConstraint</code> of <code>vtkn88FiniteElementModel</code> is renamed to <code>ApplyLoad</code>.</p>
+</li>
+<li>
+<p>Method <code>DataSetFromSelection</code> of <code>vtkn88FiniteElementModel</code> is deprecated.</p>
+</li>
+</ul>
+</div>
+<div class="paragraph">
+<p>Use either <code>DataSetFromNodeSet</code> or <code>DataSetFromElementSet</code>.</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p>Method <code>PolyDataFromSelection</code> of <code>vtkn88FiniteElementModel</code> is deprecated.</p>
+</li>
+</ul>
+</div>
+<div class="paragraph">
+<p>You can duplicate this functionality as follows.  Instead of</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>visible_bone_vertices = model.PolyDataFromSelection("bone_top")</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>the following code can be used instead:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>reduceToPolyData = vtk.vtkGeometryFilter()
 reduceToPolyData.SetInput(model.DataSetFromNodeSet("bone_top"))
 reduceToPolyData.MergingOff()
 reduceToPolyData.Update()
 visible_bone_vertices = reduceToPolyData.GetOutput()</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>Note that this functionality is rarely required, as its main use was to
-                write node sets as VTK PolyData files (which are slightly more efficient
-                than VTK Unstructured Grid files). We now recommend not performing this
-                within scripts at all, but instead to use <a href="#n88extractsets">n88extractsets</a>
-                to extract the node sets from <code>.n88model</code> files.</p>
-            </div>
-            <div class="ulist">
-              <ul>
-                <li>
-                  <p>The names of node sets (and element sets) must be set on the data array
-                    of Point IDs.</p>
-                </li>
-              </ul>
-            </div>
-            <div class="paragraph">
-              <p>Instead of this</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>model.AddNodeSet(visibleNodesIds, "bone_top")</pre>
-              </div>
-            </div>
-            <div class="paragraph">
-              <p>we now write this</p>
-            </div>
-            <div class="listingblock">
-              <div class="content">
-                <pre>visibleNodesIds.SetName("bone_top")
+</div>
+</div>
+<div class="paragraph">
+<p>Note that this functionality is rarely required, as its main use was to
+write node sets as VTK PolyData files (which are slightly more efficient
+than VTK Unstructured Grid files).  We now recommend not performing this
+within scripts at all, but instead to use <a href="#n88extractsets">n88extractsets</a>
+to extract the node sets from <code>.n88model</code> files.</p>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p>The names of node sets (and element sets) must be set on the data array
+of Point IDs.</p>
+</li>
+</ul>
+</div>
+<div class="paragraph">
+<p>Instead of this</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>model.AddNodeSet(visibleNodesIds, "bone_top")</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>we now write this</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>visibleNodesIds.SetName("bone_top")
 model.AddNodeSet(visibleNodesIds)</pre>
-              </div>
-            </div>
-            <div class="ulist">
-              <ul>
-                <li>
-                  <p>Class <code>vtkn88FiniteElementRun</code> is renamed to <code>vtkn88SolverParameters</code> .</p>
-                </li>
-                <li>
-                  <p>Specify element sets as well as node sets for post-processing. For examples,
-                    refer to the tutorials on <code>vtkn88</code>, specifically
-                    <a href="#cantilever_post_processing_sets">Specifying sets for post-processing</a> and <a
-                      href="#screw_pullout_post_processing_sets">Specifying sets for post-processing</a>.
-                  </p>
-                </li>
-                <li>
-                  <p>You should make use of the History and Log fields. See any of the tutorials on <code>vtkn88</code>
-                    for examples.</p>
-                </li>
-                <li>
-                  <p>Instead of <code>vtkn88FAIMInputWriter</code> use <code>vtkn88N88ModelWriter</code> . Don&#8217;t
-                    forget to use a file name extention &#8220;.n88model&#8221; instead of &#8220;.inp&#8221;.</p>
-                </li>
-                <li>
-                  <p>Don&#8217;t specify the iteration limit for the convergence tolerance. If you really want to change
-                    these from their defaults, use the command line
-                    arguments to <a href="#n88solver">n88solver</a>.</p>
-                </li>
-              </ul>
-            </div>
-          </div>
-        </div>
-      </div>
-    </div>
-    <div class="sect1">
-      <h2 id="n88model_file_format">Appendix B: n88model File Format</h2>
-      <div class="sectionbody">
-        <div class="paragraph">
-          <p>
-
-
-
-
-          </p>
-        </div>
-        <div class="paragraph">
-          <p>The n88model format is a type of NetCDF4/HDF5 file. NetCDF4/HDF5 is a very
-            widely used, high performance and robust file format for scientific and
-            numerical data. Many standard data processing packages are able to read
-            either NetCDF4 or HDF5, which makes it generally straightforward to import
-            Faim data for custom processing.</p>
-        </div>
-        <div class="admonitionblock note">
-          <table>
-            <tr>
-              <td class="icon">
-                <img src="./images/icons/note.png" alt="Note">
-              </td>
-              <td class="content">
-                The curious may be wondering how a file can be both NetCDF4 and HDF5.
-                Historically, NetCDF and HDF were different
-                formats. As they served largely similar purposes, starting with NetCDF 4, NetCDF
-                adopted the HDF5 file format (amongst other options), while retaining its API or
-                programming interface. Functionally, the NetCDF file format is a subset of HDF5, with a
-                somewhat simpler API. HDF5 files must be structured in a specific way to
-                be a NetCDF4 file; not any HDF5 file can be read through the NetCDF4
-                library.
-              </td>
-            </tr>
-          </table>
-        </div>
-        <div class="sect2">
-          <h3 id="_converting_a_n88model_file_to_and_from_a_text_file">B.1. Converting a n88model file to and from a
-            text file</h3>
-          <div class="paragraph">
-            <p>
-
-
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>Sometimes it is useful to examine or modify a data file by hand. Users of
-              faim 5.x may recall that it used a text format, which while subject to many
-              disadvantages, was easy to edit manually. <code>n88model</code> files cannot
-              be modified directly by hand, however they can be converted to a type of
-              text file, called CDL, that is human readable. Furthermore,
-              CDL text files, provided they are consistent with the <code>n88model</code> format
-              convention, can easily be converted back into an <code>n88model</code> file.</p>
-          </div>
-          <div class="paragraph">
-            <p>To convert an <code>n88model</code> file to text, the command <code>ncdump</code> can be used. For
-              example:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>ncdump 1x1x2_uniaxial.n88model &gt; 1x1x2_uniaxial.txt</pre>
-            </div>
-          </div>
-          <div class="admonitionblock note">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/note.png" alt="Note">
-                </td>
-                <td class="content">
-                  You can create this example file with the command
-                  <code>n88modelgenerator 1x1x2.vti</code>. The file <code>1x1x2.vti</code> can be found in
-                  the <code>data</code> directory of faim. It is a trivial 2-element geometry.
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>To convert it back again (perhaps after modifying it), follow this
-              example</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>ncgen -k hdf5 -o 1x1x2_uniaxial.n88model 1x1x2_uniaxial.txt</pre>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_example_n88model_file_in_cdl_text_format">B.2. Example n88model file in CDL text format</h3>
-          <div class="paragraph">
-            <p>The easiest way to understand the structure of an <code>n88model</code> file is
-              to examine it in text format. Here is the <code>1x1x2_uniaxial.txt</code> file,
-              generated in the previous section example. This model has been solved and
-              the file contains solution data. Although it is only two elements, the
-              text representation of the <code>n88model</code> file is rather lengthy!</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>netcdf \1x1x2_uniaxial {
+</div>
+</div>
+<div class="ulist">
+<ul>
+<li>
+<p>Class <code>vtkn88FiniteElementRun</code> is renamed to <code>vtkn88SolverParameters</code> .</p>
+</li>
+<li>
+<p>Specify element sets as well as node sets for post-processing. For examples,
+refer to the tutorials on <code>vtkn88</code>, specifically
+<a href="#cantilever_post_processing_sets">Specifying sets for post-processing</a> and <a href="#screw_pullout_post_processing_sets">Specifying sets for post-processing</a>.</p>
+</li>
+<li>
+<p>You should make use of the History and Log fields. See any of the tutorials on <code>vtkn88</code> for examples.</p>
+</li>
+<li>
+<p>Instead of <code>vtkn88FAIMInputWriter</code> use <code>vtkn88N88ModelWriter</code> . Don&#8217;t forget to use a file name extention &#8220;.n88model&#8221; instead of &#8220;.inp&#8221;.</p>
+</li>
+<li>
+<p>Don&#8217;t specify the iteration limit for the convergence tolerance. If you really want to change these from their defaults, use the command line
+arguments to <a href="#n88solver">n88solver</a>.</p>
+</li>
+</ul>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="sect1">
+<h2 id="n88model_file_format">Appendix B: n88model File Format</h2>
+<div class="sectionbody">
+<div class="paragraph">
+<p>
+
+
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>The n88model format is a type of NetCDF4/HDF5 file.  NetCDF4/HDF5 is a very
+widely used, high performance and robust file format for scientific and
+numerical data.  Many standard data processing packages are able to read
+either NetCDF4 or HDF5, which makes it generally straightforward to import
+Faim data for custom processing.</p>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+The curious may be wondering how a file can be both NetCDF4 and HDF5.
+Historically, NetCDF and HDF were different
+formats.  As they served largely similar purposes, starting with NetCDF 4, NetCDF
+adopted the HDF5 file format (amongst other options), while retaining its API or
+programming interface.  Functionally, the NetCDF file format is a subset of HDF5, with a
+somewhat simpler API. HDF5 files must be structured in a specific way to
+be a NetCDF4 file; not any HDF5 file can be read through the NetCDF4
+library.
+</td>
+</tr>
+</table>
+</div>
+<div class="sect2">
+<h3 id="_converting_a_n88model_file_to_and_from_a_text_file">B.1. Converting a n88model file to and from a text file</h3>
+<div class="paragraph">
+<p>
+
+
+</p>
+</div>
+<div class="paragraph">
+<p>Sometimes it is useful to examine or modify a data file by hand.  Users of
+faim 5.x may recall that it used a text format, which while subject to many
+disadvantages, was easy to edit manually.  <code>n88model</code> files cannot
+be modified directly by hand, however they can be converted to a type of
+text file, called CDL, that is human readable.  Furthermore,
+CDL text files, provided they are consistent with the <code>n88model</code> format
+convention, can easily be converted back into an <code>n88model</code> file.</p>
+</div>
+<div class="paragraph">
+<p>To convert an <code>n88model</code> file to text, the command <code>ncdump</code> can be used.  For
+example:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>ncdump 1x1x2_uniaxial.n88model &gt; 1x1x2_uniaxial.txt</pre>
+</div>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+You can create this example file with the command
+<code>n88modelgenerator 1x1x2.vti</code>.  The file <code>1x1x2.vti</code> can be found in
+the <code>data</code> directory of faim.  It is a trivial 2-element geometry.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>To convert it back again (perhaps after modifying it), follow this
+example</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>ncgen -k hdf5 -o 1x1x2_uniaxial.n88model 1x1x2_uniaxial.txt</pre>
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_example_n88model_file_in_cdl_text_format">B.2. Example n88model file in CDL text format</h3>
+<div class="paragraph">
+<p>The easiest way to understand the structure of an <code>n88model</code> file is
+to examine it in text format.  Here is the <code>1x1x2_uniaxial.txt</code> file,
+generated in the previous section example.  This model has been solved and
+the file contains solution data.  Although it is only two elements, the
+text representation of the <code>n88model</code> file is rather lengthy!</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>netcdf \1x1x2_uniaxial {
 dimensions:
     Dimensionality = 3 ;
 
@@ -20344,947 +16292,901 @@ <h3 id="_example_n88model_file_in_cdl_text_format">B.2. Example n88model file in
     } // group Solution1
   } // group Solutions
 }</pre>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_specification">B.3. Specification</h3>
-          <div class="paragraph">
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>NetCDF4 files consist of dimensions, variables and attributes, as well as
-              groups. Groups can contain dimensions, variables and attributes,
-              as well as other groups, thus forming a nested tree structure. Variables
-              can also contain attributes.</p>
-          </div>
-          <div class="paragraph">
-            <p>Types specified below as &#8220;numeric&#8221; may be any concrete numeric type.
-              Similarly &#8220;integral&#8221; may be any concrete integer type.</p>
-          </div>
-          <div class="paragraph">
-            <p>It is convenient to refer to the text format example when trying to
-              follow the file specification.</p>
-          </div>
-          <div class="admonitionblock note">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/note.png" alt="Note">
-                </td>
-                <td class="content">
-                  In some cases dimensions may be named differently than specified
-                  below. (For complex reasons some of the n88 tools are unable to deduce the
-                  correct dimension names in certain rare cases.) This should be avoided where
-                  possible when writing a file. For
-                  reading files, the most reliable method is to inquire about the dimensions of the
-                  variables, rather than looking up dimensions by name.
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="sect3">
-            <h4 id="_root_group">B.3.1. Root group</h4>
-            <div class="paragraph">
-              <p>The root group exists for all NetCDF4 files. It does not need to be created.</p>
-            </div>
-            <div class="dlist">
-              <dl>
-                <dt class="hdlist1">attribute [text] <em>Conventions</em></dt>
-                <dd>
-                  <p>Specifies that this is a <code>n88model</code> file. Must be
-                    &#8220;Numerics88/Finite_Element_Model-1.0&#8221;. Required.</p>
-                </dd>
-                <dt class="hdlist1">attribute [text] <em>ActiveProblem</em></dt>
-                <dd>
-                  <p>Specifies the problem that will be used as input to the solver. Must
-                    be set to a name of a subgroup of the <em>Problems</em> group.
-                    Required by the solver.</p>
-                </dd>
-                <dt class="hdlist1">attribute [text] <em>ActiveSolution</em></dt>
-                <dd>
-                  <p>Specifies the active solution set, which is typically the one that will
-                    be used for post-processing or rendering. Must
-                    be set to a name of a subgroup of the <em>Solution</em> group.
-                    Required by <code>n88postfaim</code>, but not required by the solver.</p>
-                </dd>
-              </dl>
-            </div>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="dlist">
-              <dl>
-                <dt class="hdlist1">attribute [text] <em>History</em></dt>
-                <dd>
-                  <p>Brief history of the operations that have been performed on the file.
-                    By convention, add one line to the history for each operation performed
-                    on the file. Each line should start with a time/date stamp. Additional
-                    detail should go into the <em>Log</em> attribute. Required.</p>
-                </dd>
-              </dl>
-            </div>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="dlist">
-              <dl>
-                <dt class="hdlist1">attribute [text] <em>Log</em></dt>
-                <dd>
-                  <p>As much additional detail as required about operations that have
-                    been performed on the file. Each addition or section in <em>Log</em> may be
-                    multiple lines. It is recommended that each section start with a time/date
-                    stamp, in order to make it easy to correlate with <em>History</em>. Optional.</p>
-                </dd>
-                <dt class="hdlist1">dimension <em>Dimensionality</em></dt>
-                <dd>
-                  <p>Specifies the dimension of the problem. Currently it must be 3, although
-                    future versions of Faim might also support 2D models. Required.</p>
-                </dd>
-              </dl>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="MaterialDefinitions_group">B.3.2. MaterialDefinitions group</h4>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="paragraph">
-              <p>This group contains material definitions. Each material definition is
-                implemented as a subgroup, where the name of the subgroup is the name
-                of the material being defined. Each subgroup is required to have an
-                attribute <em>Type</em>. Required.</p>
-            </div>
-            <div class="dlist">
-              <dl>
-                <dt class="hdlist1">subgroups of <em>MaterialDefinitions</em> of <em>Type</em>
-                  &#8220;LinearIsotropic&#8221;</dt>
-                <dd>
-                  <p>A subgroup that defines a linear isotropic material. Optional. As many
-                    may be defined as required.</p>
-                  <div class="dlist">
-                    <dl>
-                      <dt class="hdlist1">attribute [text] <em>Type</em></dt>
-                      <dd>
-                        <p>&#8220;LinearIsotropic&#8221;. Required.</p>
-                      </dd>
-                      <dt class="hdlist1">dimension <em>MaterialArrayLength</em></dt>
-                      <dd>
-                        <p>Specifies the number of materials, if a material array if being
-                          defined. Optional; if not present a single material is being
-                          defined.</p>
-                      </dd>
-                      <dt class="hdlist1">attribute [numeric] or variable <em>E</em></dt>
-                      <dd>
-                        <p>Specifies the Young&#8217;s Modulus of the material, or, if a variable,
-                          a sequence of length <em>MaterialArrayLength</em> of Young&#8217;s Modulii for the materials.
-                          Required.</p>
-                      </dd>
-                      <dt class="hdlist1">attribute [numeric] or variable <em>nu</em></dt>
-                      <dd>
-                        <p>Specifies the Poisson&#8217;s Ratio of the material, or, if a variable,
-                          a sequence of length <em>MaterialArrayLength</em> of Poisson&#8217;s Ratios for the materials.
-                          Required.</p>
-                      </dd>
-                    </dl>
-                  </div>
-                </dd>
-                <dt class="hdlist1">subgroups of <em>MaterialDefinitions</em> of <em>Type</em>
-                  &#8220;LinearOrthotropic&#8221;</dt>
-                <dd>
-                  <p>A subgroup that defines a linear orthotropic material. Optional. As many
-                    may be defined as required.</p>
-                  <div class="dlist">
-                    <dl>
-                      <dt class="hdlist1">attribute [text] <em>Type</em></dt>
-                      <dd>
-                        <p>&#8220;LinearOrthotropic&#8221;. Required.</p>
-                      </dd>
-                      <dt class="hdlist1">dimension <em>MaterialArrayLength</em></dt>
-                      <dd>
-                        <p>Specifies the number of materials, if a material array if being
-                          defined. Optional; if not present a single material is being
-                          defined.</p>
-                      </dd>
-                      <dt class="hdlist1">attribute [numeric, length 3] or variable <em>E</em></dt>
-                      <dd>
-                        <p>Specifies the Young&#8217;s Modulii of the material as <em>E<sub>xx</sub></em>,
-                          <em>E<sub>yy</sub></em>, <em>E<sub>zz</sub></em>. Alternatively, if a variable, must be of
-                          dimensions
-                          <em>MaterialArrayLength</em>&#215;3. Required.
-                        </p>
-                      </dd>
-                      <dt class="hdlist1">attribute [numeric, length 3] or variable <em>nu</em></dt>
-                      <dd>
-                        <p>Specifies the Poisson&#8217;s Ratio of the material as <em>&#957;<sub>yz</sub></em>,
-                          <em>&#957;<sub>zx</sub></em>,
-                          <em>&#957;<sub>xy</sub></em>. Alternatively, if a variable, must be of dimensions
-                          <em>MaterialArrayLength</em>&#215;3. Required.
-                        </p>
-                      </dd>
-                      <dt class="hdlist1">attribute [numeric, length 3] or variable <em>G</em></dt>
-                      <dd>
-                        <p>Specifies the Shear Modulus of the material as <em>G<sub>yz</sub></em>,
-                          <em>G<sub>zx</sub></em>,
-                          <em>G<sub>xy</sub></em>. Alternatively, if a variable, must be of dimensions
-                          <em>MaterialArrayLength</em>&#215;3. Required.
-                        </p>
-                      </dd>
-                    </dl>
-                  </div>
-                </dd>
-                <dt class="hdlist1">subgroups of <em>MaterialDefinitions</em> of <em>Type</em>
-                  &#8220;LinearAnisotropic&#8221;</dt>
-                <dd>
-                  <p>A subgroup that defines a linear anisotropic material. Optional. As many
-                    may be defined as required.</p>
-                  <div class="dlist">
-                    <dl>
-                      <dt class="hdlist1">attribute [text] <em>Type</em></dt>
-                      <dd>
-                        <p>&#8220;LinearAnisotropic&#8221;. Required.</p>
-                      </dd>
-                      <dt class="hdlist1">dimension <em>MaterialArrayLength</em></dt>
-                      <dd>
-                        <p>Specifies the number of materials, if a material array if being
-                          defined. Optional; if not present a single material is being
-                          defined.</p>
-                      </dd>
-                      <dt class="hdlist1">attribute [numeric, length 36] or variable <em>StressStrainMatrix</em></dt>
-                      <dd>
-                        <p>Specifies the 36 elements of the stress-strain matrix. Note that since the
-                          stress-strain matrix is symmetric, there are only 21 unique values, but for a
-                          single material all
-                          36 must be given. They must be specified in the order K<sub>11</sub>, K<sub>12</sub>,
-                          K<sub>13</sub> . . .
-                          K<sub>66</sub>, but since the matrix is symmetric, this is equivalent to
-                          K<sub>11</sub>, K<sub>21</sub>, K<sub>31</sub> . . . K<sub>66</sub>.
-                          Alternatively, if a variable, must be of dimensions
-                          <em>MaterialArrayLength</em>&#215;21. Note that in the case of a material
-                          array, the upper triangular packed form of the matrix stored
-                          for efficiency. Then for each material in the array the indices required are
-                          K<sub>11</sub>, K<sub>12</sub>, K<sub>22</sub>, K<sub>13</sub>, K<sub>23</sub>, K<sub>33</sub>
-                          . . . K<sub>66</sub>
-                          , which are the 21
-                          unique values. Due to symmetry,
-                          this sequence is the same as K<sub>11</sub>, K<sub>21</sub>, K<sub>22</sub>, K<sub>31</sub>,
-                          K<sub>32</sub>, K<sub>33</sub> . . . K<sub>66</sub>. Required.
-                        </p>
-                      </dd>
-                    </dl>
-                  </div>
-                </dd>
-                <dt class="hdlist1">subgroups of <em>MaterialDefinitions</em> of <em>Type</em>
-                  &#8220;VonMisesIsotropic&#8221;</dt>
-                <dd>
-                  <p>A subgroup that defines an isotropic von Mises elastoplastic material. Optional.
-                    As many may be defined as required.</p>
-                  <div class="dlist">
-                    <dl>
-                      <dt class="hdlist1">attribute [text] <em>Type</em></dt>
-                      <dd>
-                        <p>&#8220;VonMisesIsotropic&#8221;. Required.</p>
-                      </dd>
-                      <dt class="hdlist1">dimension <em>MaterialArrayLength</em></dt>
-                      <dd>
-                        <p>Specifies the number of materials, if a material array if being
-                          defined. Optional; if not present a single material is being
-                          defined.</p>
-                      </dd>
-                      <dt class="hdlist1">attribute [numeric] or variable <em>E</em></dt>
-                      <dd>
-                        <p>Specifies the Young&#8217;s Modulus of the material, or, if a variable,
-                          a sequence of length <em>MaterialArrayLength</em> of Young&#8217;s Modulii for the materials.
-                          Required.</p>
-                      </dd>
-                      <dt class="hdlist1">attribute [numeric] or variable <em>nu</em></dt>
-                      <dd>
-                        <p>Specifies the Poisson&#8217;s Ratio of the material, or, if a variable,
-                          a ssequence of length <em>MaterialArrayLength</em> of Poisson&#8217;s Ratios for the
-                          materials. Required.</p>
-                      </dd>
-                      <dt class="hdlist1">attribute [numeric] <em>Y</em></dt>
-                      <dd>
-                        <p>Specifies the Yield Strength of the material, or, if a variable,
-                          a sequence of length <em>MaterialArrayLength</em> of Yield Strengths for the materials.
-                          Required.</p>
-                      </dd>
-                    </dl>
-                  </div>
-                </dd>
-                <dt class="hdlist1">subgroups of <em>MaterialDefinitions</em> of <em>Type</em>
-                  &#8220;MohrCoulombIsotropic&#8221;</dt>
-                <dd>
-                  <p>A subgroup that defines an isotropic Mohr Coulomb elastoplastic material.
-                    Optional. As many may be defined as required.</p>
-                  <div class="dlist">
-                    <dl>
-                      <dt class="hdlist1">attribute [text] <em>Type</em></dt>
-                      <dd>
-                        <p>&#8220;MohrCoulombIsotropic&#8221;. Required.</p>
-                      </dd>
-                      <dt class="hdlist1">dimension <em>MaterialArrayLength</em></dt>
-                      <dd>
-                        <p>Specifies the number of materials, if a material array if being
-                          defined. Optional; if not present a single material is being
-                          defined.</p>
-                      </dd>
-                      <dt class="hdlist1">attribute [numeric] or variable <em>E</em></dt>
-                      <dd>
-                        <p>Specifies the Young&#8217;s Modulus of the material, or, if a variable,
-                          a sequence of length <em>MaterialArrayLength</em> of Young&#8217;s Modulii for the materials.
-                          Required.</p>
-                      </dd>
-                      <dt class="hdlist1">attribute [numeric] or variable <em>nu</em></dt>
-                      <dd>
-                        <p>Specifies the Poisson&#8217;s Ratio of the material, or, if a variable,
-                          a sequence of length <em>MaterialArrayLength</em> of Poisson&#8217;s Ratios for the materials.
-                          Required.</p>
-                      </dd>
-                      <dt class="hdlist1">attribute [numeric] or variable <em>c</em></dt>
-                      <dd>
-                        <p>Specifies the Mohr Coulomb <em>c</em> parameter (cohesion) of the material, or, if a
-                          variable,
-                          a sequence of length <em>MaterialArrayLength</em> of <em>c</em> values for the materials.
-                          Required.</p>
-                      </dd>
-                      <dt class="hdlist1">attribute [numeric] or variable <em>phi</em></dt>
-                      <dd>
-                        <p>Specifies the Mohr Coulomb &#966; parameter (friction angle) of the material, or, if a
-                          variable,
-                          a ssequence of length <em>MaterialArrayLength</em> of &#966; values for the materials.
-                          Required.</p>
-                      </dd>
-                      <dt class="hdlist1">attribute [numeric] or variable <em>psi</em></dt>
-                      <dd>
-                        <p>Specifies the Mohr Coulomb &#968; parameter (dilation angle) of the material, or, if a
-                          variable,
-                          a sequence of length <em>MaterialArrayLength</em> of &#968; values for the materials.
-                          Optional, assumed
-                          zero if not specified.</p>
-                      </dd>
-                    </dl>
-                  </div>
-                </dd>
-              </dl>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="n88file_parts">B.3.3. Parts group</h4>
-            <div class="paragraph">
-              <p>This group defines parts. A part is a geometric collection of
-                elements, along with the associated nodes and the material
-                assignments for the elements. Each part is
-                implemented as a subgroup, where the name of the subgroup is the name
-                of the part being defined.</p>
-            </div>
-            <div class="dlist">
-              <dl>
-                <dt class="hdlist1">subgroups of <em>Part</em></dt>
-                <dd>
-                  <p>The subgroup name gives the part name. At least one subgroup is required,
-                    and multiple ones may be defined.</p>
-                  <div class="dlist">
-                    <dl>
-                      <dt class="hdlist1">dimension <em>NumberOfNodes</em></dt>
-                      <dd>
-                        <p>The number of nodes in the variable NodeCoordinates.</p>
-                      </dd>
-                      <dt class="hdlist1">variable <em>NodeCoordinates</em> (NumberOfNodes, Dimensionality) [numeric]
-                      </dt>
-                      <dd>
-                        <p>Specifies the <em>x</em>,<em>y</em>,<em>z</em> coordinates of the nodes. The node
-                          numbering is implicit, and 1-based. Hence the first row is
-                          node 1, the second node 2, etc&#8230;&#8203;</p>
-                      </dd>
-                    </dl>
-                  </div>
-                </dd>
-              </dl>
-            </div>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="dlist">
-              <dl>
-                <dt class="hdlist1">subgroup <em>MaterialTable</em> of subgroups of <em>Part</em></dt>
-                <dd>
-                  <p>Maps material names, as defined in <em>MaterialDefinitions</em>, to material ID
-                    numbers. Material ID numbers are then assigned to each element.
-                    Required by the solver.</p>
-                  <div class="dlist">
-                    <dl>
-                      <dt class="hdlist1">dimension <em>Size</em></dt>
-                      <dd>
-                        <p>The number of entries in the material table for this part.</p>
-                      </dd>
-                      <dt class="hdlist1">variable <em>MaterialName</em> (Size) [text]</dt>
-                      <dd>
-                        <p>The material names, corresponding to subgroups in
-                          <em>MaterialDefinitions</em>.
-                          Required.
-                        </p>
-                      </dd>
-                      <dt class="hdlist1">variable <em>ID</em> (Size) [integral]</dt>
-                      <dd>
-                        <p>The IDs assigned to to materials. Any IDs in the range 1-32768
-                          may be assigned, provided they are unique.
-                          Required.</p>
-                      </dd>
-                    </dl>
-                  </div>
-                </dd>
-                <dt class="hdlist1">subgroup <em>Element</em> of subgroups of <em>Part</em></dt>
-                <dd>
-                  <p>Required. Currently must itself contain exactly the single subgroup,
-                    <em>Hexahedrons</em>.
-                  </p>
-                </dd>
-                <dt class="hdlist1">subgroup <em>Hexahedron</em> of subgroup <em>Element</em> of subgroups of
-                  <em>Part</em>
-                </dt>
-                <dd>
-                  <p>Defines the hexahedral elements of the part. Note that the current
-                    version of <code>n88solver</code> only handles regular hexahedrons, although the
-                    file format does not enforce this. Currently required, although in
-                    future versions supporting multiple element types, may become optional.</p>
-                  <div class="dlist">
-                    <dl>
-                      <dt class="hdlist1">dimension <em>NumberOfNodesPerElement</em> [=8]</dt>
-                      <dd>
-                        <p>The number of nodes per element, which for hexahedrons is 8.</p>
-                      </dd>
-                      <dt class="hdlist1">dimension <em>NumberOfElements</em></dt>
-                      <dd>
-                        <p>The number of hexahedral elements.</p>
-                      </dd>
-                      <dt class="hdlist1">variable <em>ElementNumber</em> (NumberOfElements) [integral]</dt>
-                      <dd>
-                        <p>Explicitly assigned element numbers. In the current version, the
-                          solver requires consecutively-numbered elements starting with
-                          element 1, but this restriction may be relaxed in future versions.
-                          Required.</p>
-                      </dd>
-                      <dt class="hdlist1">variable <em>NodeNumbers</em> (NumberOfElements, NumberOfNodesPerElement)</dt>
-                      <dd>
-                        <p>The node numbers of the nodes defining each hexahedron. The
-                          topology is as the VTK type <code>VTK_VOXEL</code>, and is shown in
-                          <a href="#element_topology">Figure 50</a>. The global node numbers (1-indexed) must be
-                          given for each element in the order as shown in the figure.
-                          Required.
-                        </p>
-                      </dd>
-                      <dt class="hdlist1">variable <em>MaterialID</em> (NumberOfElements) [integral]</dt>
-                      <dd>
-                        <p>The material IDs of the materials assigned to each element. IDs
-                          correspond to values in the MaterialTable for this part.
-                          Required.</p>
-                      </dd>
-                    </dl>
-                  </div>
-                </dd>
-              </dl>
-            </div>
-            <div id="element_topology" class="imageblock">
-              <div class="content">
-                <img src="images/element_topology.png" alt="element topology">
-              </div>
-              <div class="title">Figure 50. Topology of hexahedral elements in n88model file (1-indexed).</div>
-            </div>
-            <div class="admonitionblock warning">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/warning.png" alt="Warning">
-                  </td>
-                  <td class="content">
-                    The ordering of the elements in the input file has a strong influence
-                    on the solver. Certain orderings are optimal and will solve in the fastest
-                    time. There exist orderings which will cause the solver to fail with
-                    an error. A future version of Faim might reorder the input elements as
-                    required, but in the current version, we strongly recommend that elements
-                    be ordered in the file according to &#8220;x fastest, z slowest&#8221;.
-                  </td>
-                </tr>
-              </table>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_constraints_group">B.3.4. Constraints group</h4>
-            <div class="paragraph">
-              <p>
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>Constraints are sets of values assigned to nodes, and used
-                to define both boundary conditions and applied loads.
-                Each constraint (which itself is a set of values) is
-                implemented as a subgroup, where the name of the subgroup is the name
-                of the constraint being defined.
-                Optional, although a well-defined problem will always have some constraints.</p>
-            </div>
-            <div class="admonitionblock note">
-              <table>
-                <tr>
-                  <td class="icon">
-                    <img src="./images/icons/note.png" alt="Note">
-                  </td>
-                  <td class="content">
-                    <code>vtkbone</code> supports constraints defined on elements as well, which the
-                    <code>n88model</code> file format does not currently support. This is the
-                    natural way to define applied loads. The file writers in
-                    <code>vtkbone</code> distribute element forces appropriately on to the nodes on writing.
-                    Because of this, <code>vtkboneN88ModelWriter</code> and <code>vtkboneN88ModelReader</code> are not
-                    quite
-                    inverses. Using them in sequence can result in a model with a different,
-                    although physically equivalent, set of constraints.
-                  </td>
-                </tr>
-              </table>
-            </div>
-            <div class="dlist">
-              <dl>
-                <dt class="hdlist1">subgroups of <em>Constraints</em></dt>
-                <dd>
-                  <p>The subgroup name gives the Constraint name. Optional. Any number of
-                    subgroups may be defined.</p>
-                  <div class="dlist">
-                    <dl>
-                      <dt class="hdlist1">attribute [text] <em>Part</em></dt>
-                      <dd>
-                        <p>The part to which the constraint is associated. Note that
-                          this does not necessarily imply that the constraint will in fact
-                          be applied to the named part. Refer to the attribute <em>Constraints</em> in
-                          the <em>Problems</em> group.</p>
-                      </dd>
-                      <dt class="hdlist1">attribute [text] <em>Type</em></dt>
-                      <dd>
-                        <p>Currently two types are supported, <em>NodeAxisDisplacement</em> and
-                          <em>NodeAxisForce</em>. For the former, specific displacements for
-                          given nodes along given axis directions (the &#8220;sense&#8221;) are defined.
-                          The latter is similar but the specified values are forces.
-                        </p>
-                      </dd>
-                      <dt class="hdlist1">dimension <em>NumberOfValues</em></dt>
-                      <dd>
-                        <p>The number of values specified by this constraint.</p>
-                      </dd>
-                      <dt class="hdlist1">variable <em>NodeNumber</em> (NumberOfValues) [integral]</dt>
-                      <dd>
-                        <p>A list of the node numbers to which the constraint is applied.</p>
-                      </dd>
-                      <dt class="hdlist1">variable <em>Sense</em> (NumberOfValues) [integral]</dt>
-                      <dd>
-                        <p>A list of the senses along which the constraint is applied. Valid
-                          values are 1,2,3 for x,y,z respectively.</p>
-                      </dd>
-                      <dt class="hdlist1">variable <em>Value</em> (NumberOfValues) [integral]</dt>
-                      <dd>
-                        <p>A list of the values (displacement or force) of the constraint.</p>
-                      </dd>
-                    </dl>
-                  </div>
-                </dd>
-              </dl>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_sets_group">B.3.5. Sets group</h4>
-            <div class="paragraph">
-              <p>
-              </p>
-            </div>
-            <div class="paragraph">
-              <p>Sets are collections of nodes or of elements. The primary use of sets
-                in <code>n88model</code> files is for post-processing. <code>n88postfaim</code> requires
-                at least two-post processing sets of nodes, which must be matched by
-                sets of the corresponding elements. Quantities (<em>e.g.</em> the difference
-                between the sum of the forces on the node sets) are then calculated between
-                pairs of sets. A secondary use of sets is simply to store sets
-                that can be further refined and transformed into boundary conditions
-                during model generation. This is particularly useful when the model
-                generation occurs in several stages.</p>
-            </div>
-            <div class="dlist">
-              <dl>
-                <dt class="hdlist1">subgroup <em>NodeSets</em> of <em>Sets</em></dt>
-                <dd>
-                  <p>Defines node sets. Each node set is
-                    implemented as a subgroup, where the name of the subgroup is the name
-                    of the node set being defined. Required by <code>n88postfaim</code>.</p>
-                </dd>
-                <dt class="hdlist1">subgroups of subgroup <em>NodeSets</em> of <em>Sets</em></dt>
-                <dd>
-                  <p>The subgroup name gives the node set name. Optional. As many may be
-                    defined as required.</p>
-                  <div class="dlist">
-                    <dl>
-                      <dt class="hdlist1">attribute [text] <em>Part</em></dt>
-                      <dd>
-                        <p>The part with which the node set is associated.</p>
-                      </dd>
-                      <dt class="hdlist1">dimension <em>NumberOfNodes</em></dt>
-                      <dd>
-                        <p>The number of nodes in the node set.</p>
-                      </dd>
-                      <dt class="hdlist1">variable <em>NodeNumber</em></dt>
-                      <dd>
-                        <p>A list of the node numbers of the nodes in the set.</p>
-                      </dd>
-                    </dl>
-                  </div>
-                </dd>
-                <dt class="hdlist1">subgroup <em>ElementSets</em> of <em>Sets</em></dt>
-                <dd>
-                  <p>Defines element sets. Each element set is
-                    implemented as a subgroup, where the name of the subgroup is the name
-                    of the element set being defined. Optional, although element sets must be
-                    defined if <code>n88postfaim</code> is to be used.</p>
-                </dd>
-                <dt class="hdlist1">subgroups of subgroup <em>ElementSets</em> of <em>Sets</em></dt>
-                <dd>
-                  <p>The subgroup name gives the element set name. Optional. As many may be
-                    defined as required.</p>
-                  <div class="dlist">
-                    <dl>
-                      <dt class="hdlist1">attribute [text] <em>Part</em></dt>
-                      <dd>
-                        <p>The part with which the element set is associated.</p>
-                      </dd>
-                      <dt class="hdlist1">dimension <em>NumberOfElements</em></dt>
-                      <dd>
-                        <p>The number of elements in the element set.</p>
-                      </dd>
-                      <dt class="hdlist1">variable <em>ElementNumber</em></dt>
-                      <dd>
-                        <p>A list of the element numbers of the elements in the set.</p>
-                      </dd>
-                    </dl>
-                  </div>
-                </dd>
-              </dl>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_problems_group">B.3.6. Problems group</h4>
-            <div class="paragraph">
-              <p>The <em>Problems</em> group defines problems that can be solved by the solver.
-                Multiple problems may be defined. Each problem is
-                implemented as a subgroup, where the name of the subgroup is the name
-                of the problem being defined. In the current version, only the
-                problem specified by the root-level attribute <em>ActiveProblem</em> will be solved
-                when the file is submitted to the solver. Required by the solver.</p>
-            </div>
-            <div class="dlist">
-              <dl>
-                <dt class="hdlist1">subgroups of <em>Problem</em></dt>
-                <dd>
-                  <p>The subgroup name gives the problem name. Optional. As many may be
-                    defined as required.</p>
-                  <div class="dlist">
-                    <dl>
-                      <dt class="hdlist1">attribute [text] <em>Part</em></dt>
-                      <dd>
-                        <p>Gives the part that will be used for this problem. Required.</p>
-                      </dd>
-                      <dt class="hdlist1">attribute [text] <em>Constraints</em></dt>
-                      <dd>
-                        <p>Gives a list of constraints that will be applied to the problem.
-                          Takes the form of a list of constraint names separated by
-                          commas. It is clearly a logical error to assign constraints
-                          that are associated with a different part. Required.</p>
-                      </dd>
-                      <dt class="hdlist1">attribute [numeric] <em>ConvergenceTolerance</em></dt>
-                      <dd>
-                        <p>Specifies the convergence tolerance to be used by the solver.
-                          Optional, and recommended that you not set this in the <code>n88model</code>
-                          file, because the optimum value depends on the solver. The solver
-                          will typically choose an appropriate value, but the choice can be
-                          specified with a command line option to <code>n88solver</code>, which is the
-                          recommended way to set the convergence tolerance should you wish to
-                          change it.</p>
-                      </dd>
-                      <dt class="hdlist1">attribute [numeric] <em>ConvergenceWindow</em></dt>
-                      <dd>
-                        <p>Specifies the convergence window to be used by the solver.
-                          Optional, and recommended that you not set this in the <code>n88model</code>
-                          file, because the optimum value depends on the solver. The solver
-                          will typically choose an appropriate value, but the choice can be
-                          specified with a command line option to <code>n88solver</code>, which is the
-                          recommended way to set the convergence window should you wish to
-                          change it.</p>
-                      </dd>
-                      <dt class="hdlist1">attribute [integral] <em>MaximumIterations</em></dt>
-                      <dd>
-                        <p>Specifies the maximum iterations to be used by the solver.
-                          Optional, and recommended that you not set this in the <code>n88model</code>
-                          file, because the optimum value depends on the solver. The solver
-                          will typically choose an appropriate value, but the choice can be
-                          specified with a command line option to <code>n88solver</code>, which is the
-                          recommended way to set the maximum iterations should you wish to
-                          change it.</p>
-                      </dd>
-                      <dt class="hdlist1">attribute [text] <em>PostProcessingNodeSets</em></dt>
-                      <dd>
-                        <p>Gives a list of node sets that will be used for post-processing.
-                          Takes the form of a list of node set names separated by
-                          commas. <code>n88postfaim</code> requires that at least two
-                          post-processing node sets to be defined. <code>n88postfaim</code>
-                          has an equivalent command-line option which takes precedence.</p>
-                      </dd>
-                    </dl>
-                  </div>
-                </dd>
-              </dl>
-            </div>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="dlist">
-              <dl>
-                <dt class="hdlist1">attribute [text] <em>PostProcessingElementSets</em></dt>
-                <dd>
-                  <p>Gives a list of element sets that will be used for post-processing.
-                    Takes the form of a list of element set names separated by
-                    commas. <code>n88postfaim</code> requires that every
-                    node set specified in <em>PostProcessingNodeSets</em> be exactly matched
-                    with an element set of the associated elements.
-                    <code>n88postfaim</code> has an equivalent command-line option which takes
-                    precedence.
-                  </p>
-                </dd>
-                <dt class="hdlist1">attribute [numeric, length 3] <em>RotationCenter</em></dt>
-                <dd>
-                  <p>Gives the rotation center. This value is used only for
-                    post-processing. Optional.</p>
-                </dd>
-              </dl>
-            </div>
-          </div>
-          <div class="sect3">
-            <h4 id="_solutions_group">B.3.7. Solutions group</h4>
-            <div class="paragraph">
-              <p></p>
-            </div>
-            <div class="paragraph">
-              <p>The solutions group contains solution values as calculated by <code>n88solver</code>
-                or <code>n88derivedfields</code>. Any number of solution sets may be defined
-                (including multiple solution sets per problem). Each solution set is
-                implemented as a subgroup, where the name of the subgroup is the name
-                of the problem being defined. The solution set specified by the root level
-                attribute <em>ActiveSolution</em> is the one that will be used for post-processing.</p>
-            </div>
-            <div class="dlist">
-              <dl>
-                <dt class="hdlist1">subgroups of <em>Solutions</em></dt>
-                <dd>
-                  <p>The subgroup name gives the solution set name. Optional. As many may be
-                    defined as required.</p>
-                  <div class="dlist">
-                    <dl>
-                      <dt class="hdlist1">attribute [text] <em>Problem</em></dt>
-                      <dd>
-                        <p>The problem to which the solution applies. Required.</p>
-                      </dd>
-                    </dl>
-                  </div>
-                </dd>
-                <dt class="hdlist1">subgroup <em>NodeValues</em> of subgroups of <em>Solutions</em></dt>
-                <dd>
-                  <p>A group containing variables that specify values on each node. Variables
-                    are identified by name, and may be either one-dimensional (scalar values
-                    on the nodes), or two-dimensional (vector values on the nodes).</p>
-                  <div class="dlist">
-                    <dl>
-                      <dt class="hdlist1">dimension <em>NumberOfNodes</em></dt>
-                      <dd>
-                        <p>The number of nodes in the problem. This is redundant with the
-                          number of nodes defined in the part, and must be equal to it.
-                          (The NetCDF4 format requires that it be re-defined here.) Required.</p>
-                      </dd>
-                      <dt class="hdlist1">typical variables in <em>NodeValues</em></dt>
-                      <dd>
-                        <div class="ulist">
-                          <ul>
-                            <li>
-                              <p><em>Displacement</em> (NumberOfNodes, Dimensionality)</p>
-                            </li>
-                            <li>
-                              <p><em>Residual</em> (NumberOfNodes, Dimensionality)</p>
-                            </li>
-                            <li>
-                              <p><em>ReactionForce</em> (NumberOfNodes, Dimensionality)</p>
-                            </li>
-                          </ul>
-                        </div>
-                      </dd>
-                    </dl>
-                  </div>
-                </dd>
-                <dt class="hdlist1">subgroup <em>ElementValues</em> of subgroups of <em>Solutions</em></dt>
-                <dd>
-                  <p>A group containing variables that specify values on each element.
-                    Variables are identified by name, and may be either one-dimensional
-                    (scalar values on the elements), or two-dimensional (vector values on the
-                    elements).</p>
-                  <div class="dlist">
-                    <dl>
-                      <dt class="hdlist1">dimension <em>NumberOfElements</em></dt>
-                      <dd>
-                        <p>The number of elements in the problem. This is redundant with the
-                          number of elements defined in the part, and must be equal to it.
-                          (The NetCDF4 format requires that it be re-defined here.) Required.</p>
-                      </dd>
-                      <dt class="hdlist1">dimension <em>NumberOfStressStrainComponents</em> [=6]</dt>
-                      <dd>
-                        <p>Stress and strain are defined on the elements, and have 6 components,
-                          so a dimension equal to 6 must be defined. The order must be
-                          xx,yy,zz,yz,zx,xy.</p>
-                      </dd>
-                      <dt class="hdlist1">typical variables in <em>ElementValues</em></dt>
-                      <dd>
-                        <div class="ulist">
-                          <ul>
-                            <li>
-                              <p><em>Stress</em> (NumberOfElements, NumberOfStressStrainComponents)</p>
-                            </li>
-                            <li>
-                              <p><em>Strain</em> (NumberOfElements, NumberOfStressStrainComponents)</p>
-                            </li>
-                            <li>
-                              <p><em>VonMisesStress</em> (NumberOfElements)</p>
-                            </li>
-                            <li>
-                              <p><em>StrainEnergyDensity</em> (NumberOfElements)</p>
-                            </li>
-                          </ul>
-                        </div>
-                      </dd>
-                    </dl>
-                  </div>
-                </dd>
-              </dl>
-            </div>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_writing_code_to_read_and_write_n88model_files">B.4. Writing code to read and write n88model files
-          </h3>
-          <div class="paragraph">
-            <p></p>
-          </div>
-          <div class="paragraph">
-            <p>The following methods are possible for reading and writing n88model files:</p>
-          </div>
-          <div class="olist arabic">
-            <ol class="arabic">
-              <li>
-                <p>Use the <code>vtkbone</code>
-                  classes <a
-                    href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneN88ModelReader.html">vtkboneN88ModelReader</a>
-                  and <a
-                    href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneN88ModelWriter.html">vtkboneN88ModelWriter</a>
-                  , either
-                  in C++ or in python.</p>
-              </li>
-              <li>
-                <p>Use the python class <code>N88ModelReader</code> which is part of n88tools.</p>
-              </li>
-              <li>
-                <p>Directly read or write the file with the netCDF4 library in C or C++,
-                  following the
-                  above file standard. Refer to
-                  <a href="http://www.unidata.ucar.edu/software/netcdf/docs/"
-                    class="bare">http://www.unidata.ucar.edu/software/netcdf/docs/</a> for documentation on
-                  using the NetCDF interface.
-                </p>
-              </li>
-              <li>
-                <p>Directly read or write the file with the netCDF4 python module
-                  (<a href="http://unidata.github.io/netcdf4-python/"
-                    class="bare">http://unidata.github.io/netcdf4-python/</a>), following the above file
-                  standard. See for example the source file <code>modelinfo.py</code> which is
-                  part of n88tools. If you have installed n88tools using Anaconda
-                  Python, then the netCDF4 module is automatically installed as
-                  a dependency.</p>
-              </li>
-            </ol>
-          </div>
-        </div>
-      </div>
-    </div>
-    <div class="sect1">
-      <h2 id="scripting">Appendix C: Automating the Processing of Multiple Models With Scripts</h2>
-      <div class="sectionbody">
-        <div class="paragraph">
-          <p>
-
-
-          </p>
-        </div>
-        <div class="admonitionblock important">
-          <table>
-            <tr>
-              <td class="icon">
-                <img src="./images/icons/important.png" alt="Important">
-              </td>
-              <td class="content">
-                This section currently applies only to OS-X and Linux.
-              </td>
-            </tr>
-          </table>
-        </div>
-        <div class="paragraph">
-          <p>Very often one has not just a single model to solve, but a whole series
-            of data sets that needs to be modelled by FE analysis. The section will
-            show how to use simple shell scripts to automate this task.</p>
-        </div>
-        <div class="admonitionblock tip">
-          <table>
-            <tr>
-              <td class="icon">
-                <img src="./images/icons/tip.png" alt="Tip">
-              </td>
-              <td class="content">
-                We highly recommend initially running the models one at a time,
-                and visualizing the results as you go, to ensure that your models
-                and results are reasonable and as you expect, before sending hundreds
-                of models to be solved in a batch script.
-              </td>
-            </tr>
-          </table>
-        </div>
-        <div class="admonitionblock note">
-          <table>
-            <tr>
-              <td class="icon">
-                <img src="./images/icons/note.png" alt="Note">
-              </td>
-              <td class="content">
-                Shell scripts are a standard part of any Unix-based operating
-                system, including OS-X.
-                If you want to learn more about shell scripting than we
-                present here, there are many good tutorials on the web. Search for &#8220;bash
-                scripting tutorial&#8221;.
-              </td>
-            </tr>
-          </table>
-        </div>
-        <div class="sect2">
-          <h3 id="_a_script_to_generate_a_mesh_and_solve_it">C.1. A script to generate a mesh and solve it</h3>
-          <div class="paragraph">
-            <p>The first step to is to make a script that can generate a mesh, solve it, and
-              clean up, all with one command. The following shell script does this. You can
-              find a copy of it, named <code>mesh_solve_analyze</code> in the
-              <code>examples/batch_processing</code> directory of the distribution. Alternatively,
-              you can just copy and paste the commands below into a text editor and save
-              it to a file named <code>mesh_solve_analyze</code> .
-            </p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre class="highlight"><code class="language-bash" data-lang="bash">#!/bin/bash
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_specification">B.3. Specification</h3>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>NetCDF4 files consist of dimensions, variables and attributes, as well as
+groups. Groups can contain dimensions, variables and attributes,
+as well as other groups, thus forming a nested tree structure. Variables
+can also contain attributes.</p>
+</div>
+<div class="paragraph">
+<p>Types specified below as &#8220;numeric&#8221; may be any concrete numeric type.
+Similarly &#8220;integral&#8221; may be any concrete integer type.</p>
+</div>
+<div class="paragraph">
+<p>It is convenient to refer to the text format example when trying to
+follow the file specification.</p>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+In some cases dimensions may be named differently than specified
+below.  (For complex reasons some of the n88 tools are unable to deduce the
+correct dimension names in certain rare cases.)  This should be avoided where
+possible when writing a file. For
+reading files, the most reliable method is to inquire about the dimensions of the
+variables, rather than looking up dimensions by name.
+</td>
+</tr>
+</table>
+</div>
+<div class="sect3">
+<h4 id="_root_group">B.3.1. Root group</h4>
+<div class="paragraph">
+<p>The root group exists for all NetCDF4 files. It does not need to be created.</p>
+</div>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">attribute [text] <em>Conventions</em></dt>
+<dd>
+<p>Specifies that this is a <code>n88model</code> file. Must be
+&#8220;Numerics88/Finite_Element_Model-1.0&#8221;. Required.</p>
+</dd>
+<dt class="hdlist1">attribute [text] <em>ActiveProblem</em></dt>
+<dd>
+<p>Specifies the problem that will be used as input to the solver. Must
+be set to a name of a subgroup of the <em>Problems</em> group.
+Required by the solver.</p>
+</dd>
+<dt class="hdlist1">attribute [text] <em>ActiveSolution</em></dt>
+<dd>
+<p>Specifies the active solution set, which is typically the one that will
+be used for post-processing or rendering. Must
+be set to a name of a subgroup of the <em>Solution</em> group.
+Required by <code>n88postfaim</code>, but not required by the solver.</p>
+</dd>
+</dl>
+</div>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">attribute [text] <em>History</em></dt>
+<dd>
+<p>Brief history of the operations that have been performed on the file.
+By convention, add one line to the history for each operation performed
+on the file. Each line should start with a time/date stamp. Additional
+detail should go into the <em>Log</em> attribute. Required.</p>
+</dd>
+</dl>
+</div>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">attribute [text] <em>Log</em></dt>
+<dd>
+<p>As much additional detail as required about operations that have
+been performed on the file. Each addition or section in <em>Log</em> may be
+multiple lines. It is recommended that each section start with a time/date
+stamp, in order to make it easy to correlate with <em>History</em>. Optional.</p>
+</dd>
+<dt class="hdlist1">dimension <em>Dimensionality</em></dt>
+<dd>
+<p>Specifies the dimension of the problem. Currently it must be 3, although
+future versions of Faim might also support 2D models. Required.</p>
+</dd>
+</dl>
+</div>
+</div>
+<div class="sect3">
+<h4 id="MaterialDefinitions_group">B.3.2. MaterialDefinitions group</h4>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>This group contains material definitions.  Each material definition is
+implemented as a subgroup, where the name of the subgroup is the name
+of the material being defined.  Each subgroup is required to have an
+attribute <em>Type</em>.  Required.</p>
+</div>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">subgroups of <em>MaterialDefinitions</em> of <em>Type</em> &#8220;LinearIsotropic&#8221;</dt>
+<dd>
+<p>A subgroup that defines a linear isotropic material.  Optional. As many
+may be defined as required.</p>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">attribute [text] <em>Type</em></dt>
+<dd>
+<p>&#8220;LinearIsotropic&#8221;.  Required.</p>
+</dd>
+<dt class="hdlist1">dimension <em>MaterialArrayLength</em></dt>
+<dd>
+<p>Specifies the number of materials, if a material array if being
+defined. Optional; if not present a single material is being
+defined.</p>
+</dd>
+<dt class="hdlist1">attribute [numeric] or variable <em>E</em></dt>
+<dd>
+<p>Specifies the Young&#8217;s Modulus of the material, or, if a variable,
+a sequence of length <em>MaterialArrayLength</em> of Young&#8217;s Modulii for the materials. Required.</p>
+</dd>
+<dt class="hdlist1">attribute [numeric] or variable <em>nu</em></dt>
+<dd>
+<p>Specifies the Poisson&#8217;s Ratio of the material, or, if a variable,
+a sequence of length <em>MaterialArrayLength</em> of Poisson&#8217;s Ratios for the materials. Required.</p>
+</dd>
+</dl>
+</div>
+</dd>
+<dt class="hdlist1">subgroups of <em>MaterialDefinitions</em> of <em>Type</em> &#8220;LinearOrthotropic&#8221;</dt>
+<dd>
+<p>A subgroup that defines a linear orthotropic material.  Optional. As many
+may be defined as required.</p>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">attribute [text] <em>Type</em></dt>
+<dd>
+<p>&#8220;LinearOrthotropic&#8221;.  Required.</p>
+</dd>
+<dt class="hdlist1">dimension <em>MaterialArrayLength</em></dt>
+<dd>
+<p>Specifies the number of materials, if a material array if being
+defined. Optional; if not present a single material is being
+defined.</p>
+</dd>
+<dt class="hdlist1">attribute [numeric, length 3] or variable <em>E</em></dt>
+<dd>
+<p>Specifies the Young&#8217;s Modulii of the material as <em>E<sub>xx</sub></em>,
+<em>E<sub>yy</sub></em>, <em>E<sub>zz</sub></em>. Alternatively, if a variable, must be of dimensions
+<em>MaterialArrayLength</em>&#215;3. Required.</p>
+</dd>
+<dt class="hdlist1">attribute [numeric, length 3] or variable <em>nu</em></dt>
+<dd>
+<p>Specifies the Poisson&#8217;s Ratio of the material as <em>&#957;<sub>yz</sub></em>, <em>&#957;<sub>zx</sub></em>,
+<em>&#957;<sub>xy</sub></em>. Alternatively, if a variable, must be of dimensions
+<em>MaterialArrayLength</em>&#215;3. Required.</p>
+</dd>
+<dt class="hdlist1">attribute [numeric, length 3] or variable <em>G</em></dt>
+<dd>
+<p>Specifies the Shear Modulus of the material as <em>G<sub>yz</sub></em>, <em>G<sub>zx</sub></em>,
+<em>G<sub>xy</sub></em>. Alternatively, if a variable, must be of dimensions
+<em>MaterialArrayLength</em>&#215;3. Required.</p>
+</dd>
+</dl>
+</div>
+</dd>
+<dt class="hdlist1">subgroups of <em>MaterialDefinitions</em> of <em>Type</em> &#8220;LinearAnisotropic&#8221;</dt>
+<dd>
+<p>A subgroup that defines a linear anisotropic material. Optional. As many
+may be defined as required.</p>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">attribute [text] <em>Type</em></dt>
+<dd>
+<p>&#8220;LinearAnisotropic&#8221;. Required.</p>
+</dd>
+<dt class="hdlist1">dimension <em>MaterialArrayLength</em></dt>
+<dd>
+<p>Specifies the number of materials, if a material array if being
+defined. Optional; if not present a single material is being
+defined.</p>
+</dd>
+<dt class="hdlist1">attribute [numeric, length 36] or variable <em>StressStrainMatrix</em></dt>
+<dd>
+<p>Specifies the 36 elements of the stress-strain matrix. Note that since the
+stress-strain matrix is symmetric, there are only 21 unique values, but for a
+single material all
+36 must be given. They must be specified in the order K<sub>11</sub>, K<sub>12</sub>, K<sub>13</sub> . . .
+K<sub>66</sub>, but since the matrix is symmetric, this is equivalent to
+K<sub>11</sub>, K<sub>21</sub>, K<sub>31</sub> . . . K<sub>66</sub>.
+Alternatively, if a variable, must be of dimensions
+<em>MaterialArrayLength</em>&#215;21. Note that in the case of a material
+array, the upper triangular packed form of the matrix stored
+for efficiency. Then for each material in the array the indices required are
+K<sub>11</sub>, K<sub>12</sub>, K<sub>22</sub>, K<sub>13</sub>, K<sub>23</sub>, K<sub>33</sub> . . . K<sub>66</sub>
+, which are the 21
+unique values. Due to symmetry,
+this sequence is the same as K<sub>11</sub>, K<sub>21</sub>, K<sub>22</sub>, K<sub>31</sub>, K<sub>32</sub>, K<sub>33</sub> . . . K<sub>66</sub>. Required.</p>
+</dd>
+</dl>
+</div>
+</dd>
+<dt class="hdlist1">subgroups of <em>MaterialDefinitions</em> of <em>Type</em> &#8220;VonMisesIsotropic&#8221;</dt>
+<dd>
+<p>A subgroup that defines an isotropic von Mises elastoplastic material. Optional.
+As many may be defined as required.</p>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">attribute [text] <em>Type</em></dt>
+<dd>
+<p>&#8220;VonMisesIsotropic&#8221;.  Required.</p>
+</dd>
+<dt class="hdlist1">dimension <em>MaterialArrayLength</em></dt>
+<dd>
+<p>Specifies the number of materials, if a material array if being
+defined. Optional; if not present a single material is being
+defined.</p>
+</dd>
+<dt class="hdlist1">attribute [numeric] or variable <em>E</em></dt>
+<dd>
+<p>Specifies the Young&#8217;s Modulus of the material, or, if a variable,
+a sequence of length <em>MaterialArrayLength</em> of Young&#8217;s Modulii for the materials. Required.</p>
+</dd>
+<dt class="hdlist1">attribute [numeric] or variable <em>nu</em></dt>
+<dd>
+<p>Specifies the Poisson&#8217;s Ratio of the material, or, if a variable,
+a ssequence of length <em>MaterialArrayLength</em> of Poisson&#8217;s Ratios for the materials. Required.</p>
+</dd>
+<dt class="hdlist1">attribute [numeric] <em>Y</em></dt>
+<dd>
+<p>Specifies the Yield Strength of the material, or, if a variable,
+a sequence of length <em>MaterialArrayLength</em> of Yield Strengths for the materials. Required.</p>
+</dd>
+</dl>
+</div>
+</dd>
+<dt class="hdlist1">subgroups of <em>MaterialDefinitions</em> of <em>Type</em> &#8220;MohrCoulombIsotropic&#8221;</dt>
+<dd>
+<p>A subgroup that defines an isotropic Mohr Coulomb elastoplastic material.
+Optional. As many may be defined as required.</p>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">attribute [text] <em>Type</em></dt>
+<dd>
+<p>&#8220;MohrCoulombIsotropic&#8221;. Required.</p>
+</dd>
+<dt class="hdlist1">dimension <em>MaterialArrayLength</em></dt>
+<dd>
+<p>Specifies the number of materials, if a material array if being
+defined. Optional; if not present a single material is being
+defined.</p>
+</dd>
+<dt class="hdlist1">attribute [numeric] or variable <em>E</em></dt>
+<dd>
+<p>Specifies the Young&#8217;s Modulus of the material, or, if a variable,
+a sequence of length <em>MaterialArrayLength</em> of Young&#8217;s Modulii for the materials. Required.</p>
+</dd>
+<dt class="hdlist1">attribute [numeric] or variable <em>nu</em></dt>
+<dd>
+<p>Specifies the Poisson&#8217;s Ratio of the material, or, if a variable,
+a sequence of length <em>MaterialArrayLength</em> of Poisson&#8217;s Ratios for the materials.  Required.</p>
+</dd>
+<dt class="hdlist1">attribute [numeric] or variable <em>c</em></dt>
+<dd>
+<p>Specifies the Mohr Coulomb <em>c</em> parameter (cohesion) of the material, or, if a variable,
+a sequence of length <em>MaterialArrayLength</em> of <em>c</em> values for the materials. Required.</p>
+</dd>
+<dt class="hdlist1">attribute [numeric] or variable <em>phi</em></dt>
+<dd>
+<p>Specifies the Mohr Coulomb &#966; parameter (friction angle) of the material, or, if a variable,
+a ssequence of length <em>MaterialArrayLength</em> of &#966; values for the materials. Required.</p>
+</dd>
+<dt class="hdlist1">attribute [numeric] or variable <em>psi</em></dt>
+<dd>
+<p>Specifies the Mohr Coulomb &#968; parameter (dilation angle) of the material, or, if a variable,
+a sequence of length <em>MaterialArrayLength</em> of &#968; values for the materials. Optional, assumed
+zero if not specified.</p>
+</dd>
+</dl>
+</div>
+</dd>
+</dl>
+</div>
+</div>
+<div class="sect3">
+<h4 id="n88file_parts">B.3.3. Parts group</h4>
+<div class="paragraph">
+<p>This group defines parts. A part is a geometric collection of
+elements, along with the associated nodes and the material
+assignments for the elements. Each part is
+implemented as a subgroup, where the name of the subgroup is the name
+of the part being defined.</p>
+</div>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">subgroups of <em>Part</em></dt>
+<dd>
+<p>The subgroup name gives the part name. At least one subgroup is required,
+and multiple ones may be defined.</p>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">dimension <em>NumberOfNodes</em></dt>
+<dd>
+<p>The number of nodes in the variable NodeCoordinates.</p>
+</dd>
+<dt class="hdlist1">variable <em>NodeCoordinates</em> (NumberOfNodes, Dimensionality) [numeric]</dt>
+<dd>
+<p>Specifies the <em>x</em>,<em>y</em>,<em>z</em> coordinates of the nodes. The node
+numbering is implicit, and 1-based. Hence the first row is
+node 1, the second node 2, etc&#8230;&#8203;</p>
+</dd>
+</dl>
+</div>
+</dd>
+</dl>
+</div>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">subgroup <em>MaterialTable</em> of subgroups of <em>Part</em></dt>
+<dd>
+<p>Maps material names, as defined in <em>MaterialDefinitions</em>, to material ID
+numbers. Material ID numbers are then assigned to each element.
+Required by the solver.</p>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">dimension <em>Size</em></dt>
+<dd>
+<p>The number of entries in the material table for this part.</p>
+</dd>
+<dt class="hdlist1">variable <em>MaterialName</em> (Size) [text]</dt>
+<dd>
+<p>The material names, corresponding to subgroups in
+<em>MaterialDefinitions</em>.
+Required.</p>
+</dd>
+<dt class="hdlist1">variable <em>ID</em> (Size) [integral]</dt>
+<dd>
+<p>The IDs assigned to to materials. Any IDs in the range 1-32768
+may be assigned, provided they are unique.
+Required.</p>
+</dd>
+</dl>
+</div>
+</dd>
+<dt class="hdlist1">subgroup <em>Element</em> of subgroups of <em>Part</em></dt>
+<dd>
+<p>Required. Currently must itself contain exactly the single subgroup,
+<em>Hexahedrons</em>.</p>
+</dd>
+<dt class="hdlist1">subgroup <em>Hexahedron</em> of subgroup <em>Element</em> of subgroups of <em>Part</em></dt>
+<dd>
+<p>Defines the hexahedral elements of the part. Note that the current
+version of <code>n88solver</code> only handles regular hexahedrons, although the
+file format does not enforce this. Currently required, although in
+future versions supporting multiple element types, may become optional.</p>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">dimension <em>NumberOfNodesPerElement</em> [=8]</dt>
+<dd>
+<p>The number of nodes per element, which for hexahedrons is 8.</p>
+</dd>
+<dt class="hdlist1">dimension <em>NumberOfElements</em></dt>
+<dd>
+<p>The number of hexahedral elements.</p>
+</dd>
+<dt class="hdlist1">variable <em>ElementNumber</em> (NumberOfElements) [integral]</dt>
+<dd>
+<p>Explicitly assigned element numbers. In the current version, the
+solver requires consecutively-numbered elements starting with
+element 1, but this restriction may be relaxed in future versions.
+Required.</p>
+</dd>
+<dt class="hdlist1">variable <em>NodeNumbers</em> (NumberOfElements, NumberOfNodesPerElement)</dt>
+<dd>
+<p>The node numbers of the nodes defining each hexahedron.  The
+topology is as the VTK type <code>VTK_VOXEL</code>, and is shown in
+<a href="#element_topology">Figure 56</a>. The global node numbers (1-indexed) must be
+given for each element in the order as shown in the figure.
+Required.</p>
+</dd>
+<dt class="hdlist1">variable <em>MaterialID</em> (NumberOfElements) [integral]</dt>
+<dd>
+<p>The material IDs of the materials assigned to each element. IDs
+correspond to values in the MaterialTable for this part.
+Required.</p>
+</dd>
+</dl>
+</div>
+</dd>
+</dl>
+</div>
+<div id="element_topology" class="imageblock">
+<div class="content">
+<img src="images/element_topology.png" alt="element topology">
+</div>
+<div class="title">Figure 56. Topology of hexahedral elements in n88model file (1-indexed).</div>
+</div>
+<div class="admonitionblock warning">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/warning.png" alt="Warning">
+</td>
+<td class="content">
+The ordering of the elements in the input file has a strong influence
+on the solver. Certain orderings are optimal and will solve in the fastest
+time. There exist orderings which will cause the solver to fail with
+an error. A future version of Faim might reorder the input elements as
+required, but in the current version, we strongly recommend that elements
+be ordered in the file according to &#8220;x fastest, z slowest&#8221;.
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_constraints_group">B.3.4. Constraints group</h4>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>Constraints are sets of values assigned to nodes, and used
+to define both boundary conditions and applied loads.
+Each constraint (which itself is a set of values) is
+implemented as a subgroup, where the name of the subgroup is the name
+of the constraint being defined.
+Optional, although a well-defined problem will always have some constraints.</p>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+<code>vtkbone</code> supports constraints defined on elements as well, which the
+<code>n88model</code> file format does not currently support. This is the
+natural way to define applied loads. The file writers in
+<code>vtkbone</code> distribute element forces appropriately on to the nodes on writing.
+Because of this, <code>vtkboneN88ModelWriter</code> and <code>vtkboneN88ModelReader</code> are not quite
+inverses. Using them in sequence can result in a model with a different,
+although physically equivalent, set of constraints.
+</td>
+</tr>
+</table>
+</div>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">subgroups of <em>Constraints</em></dt>
+<dd>
+<p>The subgroup name gives the Constraint name. Optional. Any number of
+subgroups may be defined.</p>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">attribute [text] <em>Part</em></dt>
+<dd>
+<p>The part to which the constraint is associated. Note that
+this does not necessarily imply that the constraint will in fact
+be applied to the named part. Refer to the attribute <em>Constraints</em> in
+the <em>Problems</em> group.</p>
+</dd>
+<dt class="hdlist1">attribute [text] <em>Type</em></dt>
+<dd>
+<p>Currently two types are supported, <em>NodeAxisDisplacement</em> and
+<em>NodeAxisForce</em>. For the former, specific displacements for
+given nodes along given axis directions (the &#8220;sense&#8221;) are defined.
+The latter is similar but the specified values are forces.</p>
+</dd>
+<dt class="hdlist1">dimension <em>NumberOfValues</em></dt>
+<dd>
+<p>The number of values specified by this constraint.</p>
+</dd>
+<dt class="hdlist1">variable <em>NodeNumber</em> (NumberOfValues) [integral]</dt>
+<dd>
+<p>A list of the node numbers to which the constraint is applied.</p>
+</dd>
+<dt class="hdlist1">variable <em>Sense</em> (NumberOfValues) [integral]</dt>
+<dd>
+<p>A list of the senses along which the constraint is applied.  Valid
+values are 1,2,3 for x,y,z respectively.</p>
+</dd>
+<dt class="hdlist1">variable <em>Value</em> (NumberOfValues) [integral]</dt>
+<dd>
+<p>A list of the values (displacement or force) of the constraint.</p>
+</dd>
+</dl>
+</div>
+</dd>
+</dl>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_sets_group">B.3.5. Sets group</h4>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>Sets are collections of nodes or of elements. The primary use of sets
+in <code>n88model</code> files is for post-processing. <code>n88postfaim</code> requires
+at least two-post processing sets of nodes, which must be matched by
+sets of the corresponding elements. Quantities (<em>e.g.</em> the difference
+between the sum of the forces on the node sets) are then calculated between
+pairs of sets. A secondary use of sets is simply to store sets
+that can be further refined and transformed into boundary conditions
+during model generation. This is particularly useful when the model
+generation occurs in several stages.</p>
+</div>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">subgroup <em>NodeSets</em> of <em>Sets</em></dt>
+<dd>
+<p>Defines node sets. Each node set is
+implemented as a subgroup, where the name of the subgroup is the name
+of the node set being defined. Required by <code>n88postfaim</code>.</p>
+</dd>
+<dt class="hdlist1">subgroups of subgroup <em>NodeSets</em> of <em>Sets</em></dt>
+<dd>
+<p>The subgroup name gives the node set name. Optional. As many may be
+defined as required.</p>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">attribute [text] <em>Part</em></dt>
+<dd>
+<p>The part with which the node set is associated.</p>
+</dd>
+<dt class="hdlist1">dimension <em>NumberOfNodes</em></dt>
+<dd>
+<p>The number of nodes in the node set.</p>
+</dd>
+<dt class="hdlist1">variable <em>NodeNumber</em></dt>
+<dd>
+<p>A list of the node numbers of the nodes in the set.</p>
+</dd>
+</dl>
+</div>
+</dd>
+<dt class="hdlist1">subgroup <em>ElementSets</em> of <em>Sets</em></dt>
+<dd>
+<p>Defines element sets. Each element set is
+implemented as a subgroup, where the name of the subgroup is the name
+of the element set being defined. Optional, although element sets must be
+defined if <code>n88postfaim</code> is to be used.</p>
+</dd>
+<dt class="hdlist1">subgroups of subgroup <em>ElementSets</em> of <em>Sets</em></dt>
+<dd>
+<p>The subgroup name gives the element set name. Optional. As many may be
+defined as required.</p>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">attribute [text] <em>Part</em></dt>
+<dd>
+<p>The part with which the element set is associated.</p>
+</dd>
+<dt class="hdlist1">dimension <em>NumberOfElements</em></dt>
+<dd>
+<p>The number of elements in the element set.</p>
+</dd>
+<dt class="hdlist1">variable <em>ElementNumber</em></dt>
+<dd>
+<p>A list of the element numbers of the elements in the set.</p>
+</dd>
+</dl>
+</div>
+</dd>
+</dl>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_problems_group">B.3.6. Problems group</h4>
+<div class="paragraph">
+<p>The <em>Problems</em> group defines problems that can be solved by the solver.
+Multiple problems may be defined. Each problem is
+implemented as a subgroup, where the name of the subgroup is the name
+of the problem being defined. In the current version, only the
+problem specified by the root-level attribute <em>ActiveProblem</em> will be solved
+when the file is submitted to the solver. Required by the solver.</p>
+</div>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">subgroups of <em>Problem</em></dt>
+<dd>
+<p>The subgroup name gives the problem name. Optional. As many may be
+defined as required.</p>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">attribute [text] <em>Part</em></dt>
+<dd>
+<p>Gives the part that will be used for this problem. Required.</p>
+</dd>
+<dt class="hdlist1">attribute [text] <em>Constraints</em></dt>
+<dd>
+<p>Gives a list of constraints that will be applied to the problem.
+Takes the form of a list of constraint names separated by
+commas.  It is clearly a logical error to assign constraints
+that are associated with a different part. Required.</p>
+</dd>
+<dt class="hdlist1">attribute [numeric] <em>ConvergenceTolerance</em></dt>
+<dd>
+<p>Specifies the convergence tolerance to be used by the solver.
+Optional, and recommended that you not set this in the <code>n88model</code>
+file, because the optimum value depends on the solver. The solver
+will typically choose an appropriate value, but the choice can be
+specified with a command line option to <code>n88solver</code>, which is the
+recommended way to set the convergence tolerance should you wish to
+change it.</p>
+</dd>
+<dt class="hdlist1">attribute [numeric] <em>ConvergenceWindow</em></dt>
+<dd>
+<p>Specifies the convergence window to be used by the solver.
+Optional, and recommended that you not set this in the <code>n88model</code>
+file, because the optimum value depends on the solver. The solver
+will typically choose an appropriate value, but the choice can be
+specified with a command line option to <code>n88solver</code>, which is the
+recommended way to set the convergence window should you wish to
+change it.</p>
+</dd>
+<dt class="hdlist1">attribute [integral] <em>MaximumIterations</em></dt>
+<dd>
+<p>Specifies the maximum iterations to be used by the solver.
+Optional, and recommended that you not set this in the <code>n88model</code>
+file, because the optimum value depends on the solver. The solver
+will typically choose an appropriate value, but the choice can be
+specified with a command line option to <code>n88solver</code>, which is the
+recommended way to set the maximum iterations should you wish to
+change it.</p>
+</dd>
+<dt class="hdlist1">attribute [text] <em>PostProcessingNodeSets</em></dt>
+<dd>
+<p>Gives a list of node sets that will be used for post-processing.
+Takes the form of a list of node set names separated by
+commas. <code>n88postfaim</code> requires that at least two
+post-processing node sets to be defined. <code>n88postfaim</code>
+has an equivalent command-line option which takes precedence.</p>
+</dd>
+</dl>
+</div>
+</dd>
+</dl>
+</div>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">attribute [text] <em>PostProcessingElementSets</em></dt>
+<dd>
+<p>Gives a list of element sets that will be used for post-processing.
+Takes the form of a list of element set names separated by
+commas. <code>n88postfaim</code> requires that every
+node set specified in <em>PostProcessingNodeSets</em> be exactly matched
+with an element set of the associated elements.
+<code>n88postfaim</code> has an equivalent command-line option which takes
+precedence.</p>
+</dd>
+<dt class="hdlist1">attribute [numeric, length 3] <em>RotationCenter</em></dt>
+<dd>
+<p>Gives the rotation center. This value is used only for
+post-processing. Optional.</p>
+</dd>
+</dl>
+</div>
+</div>
+<div class="sect3">
+<h4 id="_solutions_group">B.3.7. Solutions group</h4>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>The solutions group contains solution values as calculated by <code>n88solver</code>
+or <code>n88derivedfields</code>. Any number of solution sets may be defined
+(including multiple solution sets per problem). Each solution set is
+implemented as a subgroup, where the name of the subgroup is the name
+of the problem being defined. The solution set specified by the root level
+attribute <em>ActiveSolution</em> is the one that will be used for post-processing.</p>
+</div>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">subgroups of <em>Solutions</em></dt>
+<dd>
+<p>The subgroup name gives the solution set name. Optional. As many may be
+defined as required.</p>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">attribute [text] <em>Problem</em></dt>
+<dd>
+<p>The problem to which the solution applies. Required.</p>
+</dd>
+</dl>
+</div>
+</dd>
+<dt class="hdlist1">subgroup <em>NodeValues</em> of subgroups of <em>Solutions</em></dt>
+<dd>
+<p>A group containing variables that specify values on each node. Variables
+are identified by name, and may be either one-dimensional (scalar values
+on the nodes), or two-dimensional (vector values on the nodes).</p>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">dimension <em>NumberOfNodes</em></dt>
+<dd>
+<p>The number of nodes in the problem. This is redundant with the
+number of nodes defined in the part, and must be equal to it.
+(The NetCDF4 format requires that it be re-defined here.) Required.</p>
+</dd>
+<dt class="hdlist1">typical variables in <em>NodeValues</em></dt>
+<dd>
+<div class="ulist">
+<ul>
+<li>
+<p><em>Displacement</em> (NumberOfNodes, Dimensionality)</p>
+</li>
+<li>
+<p><em>Residual</em> (NumberOfNodes, Dimensionality)</p>
+</li>
+<li>
+<p><em>ReactionForce</em> (NumberOfNodes, Dimensionality)</p>
+</li>
+</ul>
+</div>
+</dd>
+</dl>
+</div>
+</dd>
+<dt class="hdlist1">subgroup <em>ElementValues</em> of subgroups of <em>Solutions</em></dt>
+<dd>
+<p>A group containing variables that specify values on each element.
+Variables are identified by name, and may be either one-dimensional
+(scalar values on the elements), or two-dimensional (vector values on the
+elements).</p>
+<div class="dlist">
+<dl>
+<dt class="hdlist1">dimension <em>NumberOfElements</em></dt>
+<dd>
+<p>The number of elements in the problem. This is redundant with the
+number of elements defined in the part, and must be equal to it.
+(The NetCDF4 format requires that it be re-defined here.) Required.</p>
+</dd>
+<dt class="hdlist1">dimension <em>NumberOfStressStrainComponents</em> [=6]</dt>
+<dd>
+<p>Stress and strain are defined on the elements, and have 6 components,
+so a dimension equal to 6 must be defined. The order must be
+xx,yy,zz,yz,zx,xy.</p>
+</dd>
+<dt class="hdlist1">typical variables in <em>ElementValues</em></dt>
+<dd>
+<div class="ulist">
+<ul>
+<li>
+<p><em>Stress</em> (NumberOfElements, NumberOfStressStrainComponents)</p>
+</li>
+<li>
+<p><em>Strain</em> (NumberOfElements, NumberOfStressStrainComponents)</p>
+</li>
+<li>
+<p><em>VonMisesStress</em> (NumberOfElements)</p>
+</li>
+<li>
+<p><em>StrainEnergyDensity</em> (NumberOfElements)</p>
+</li>
+</ul>
+</div>
+</dd>
+</dl>
+</div>
+</dd>
+</dl>
+</div>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_writing_code_to_read_and_write_n88model_files">B.4. Writing code to read and write n88model files</h3>
+<div class="paragraph">
+<p></p>
+</div>
+<div class="paragraph">
+<p>The following methods are possible for reading and writing n88model files:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>Use the <code>vtkbone</code>
+classes <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneN88ModelReader.html">vtkboneN88ModelReader</a> and <a href="http://numerics88.com/n88/documentation/vtkbone/1.0/classvtkboneN88ModelWriter.html">vtkboneN88ModelWriter</a> , either
+in C++ or in python.</p>
+</li>
+<li>
+<p>Use the python class <code>N88ModelReader</code> which is part of n88tools.</p>
+</li>
+<li>
+<p>Directly read or write the file with the netCDF4 library in C or C++,
+following the
+above file standard. Refer to
+<a href="http://www.unidata.ucar.edu/software/netcdf/docs/" class="bare">http://www.unidata.ucar.edu/software/netcdf/docs/</a> for documentation on
+using the NetCDF interface.</p>
+</li>
+<li>
+<p>Directly read or write the file with the netCDF4 python module
+(<a href="http://unidata.github.io/netcdf4-python/" class="bare">http://unidata.github.io/netcdf4-python/</a>), following the above file
+standard. See for example the source file <code>modelinfo.py</code> which is
+part of n88tools. If you have installed n88tools using Anaconda
+Python, then the netCDF4 module is automatically installed as
+a dependency.</p>
+</li>
+</ol>
+</div>
+</div>
+</div>
+</div>
+<div class="sect1">
+<h2 id="scripting">Appendix C: Automating the Processing of Multiple Models With Scripts</h2>
+<div class="sectionbody">
+<div class="paragraph">
+<p>
+
+
+</p>
+</div>
+<div class="admonitionblock important">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/important.png" alt="Important">
+</td>
+<td class="content">
+This section currently applies only to OS-X and Linux.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Very often one has not just a single model to solve, but a whole series
+of data sets that needs to be modelled by FE analysis.  The section will
+show how to use simple shell scripts to automate this task.</p>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+We highly recommend initially running the models one at a time,
+and visualizing the results as you go, to ensure that your models
+and results are reasonable and as you expect, before sending hundreds
+of models to be solved in a batch script.
+</td>
+</tr>
+</table>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+Shell scripts are a standard part of any Unix-based operating
+system, including OS-X.
+If you want to learn more about shell scripting than we
+present here, there are many good tutorials on the web. Search for &#8220;bash
+scripting tutorial&#8221;.
+</td>
+</tr>
+</table>
+</div>
+<div class="sect2">
+<h3 id="_a_script_to_generate_a_mesh_and_solve_it">C.1. A script to generate a mesh and solve it</h3>
+<div class="paragraph">
+<p>The first step to is to make a script that can generate a mesh, solve it, and
+clean up, all with one command. The following shell script does this. You can
+find a copy of it, named <code>mesh_solve_analyze</code> in the
+<code>examples/batch_processing</code> directory of the distribution.  Alternatively,
+you can just copy and paste the commands below into a text editor and save
+it to a file named <code>mesh_solve_analyze</code> .</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre class="highlight"><code class="language-bash" data-lang="bash">#!/bin/bash
 #
 # This is a simple script that takes a segmented image file name as input,
 # generates a finite element model using n88modelgenerator, then solves
@@ -21346,492 +17248,479 @@ <h3 id="_a_script_to_generate_a_mesh_and_solve_it">C.1. A script to generate a m
 fi
 
 echo</code></pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>If this script does exactly what you want, it can be run directly from
-              the installation directory, like this:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>/Applications/faim-6.0/examples/batch_processing/mesh_solve_analyze input_file config_file</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>On Linux, <code>Faim</code> is typically installed in <code>/opt</code> rather than
-              <code>/Applications</code>.
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>where <code>input_file</code> is the segmented image file to be processed, and
-              <code>config_file</code> is an <code>n88modelgenerator</code> configuration file. See <a
-                href="#running_n88modelgenerator">Running n88modelgenerator</a> for information on the configuration
-              file
-              format. The very simplest configuration file might contain just a single line specifying the test type:
-            </p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>test = uniaxial</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>You can use a text editor to create this file, and save it, for example,
-              as <code>myconfig.conf</code> in your working directory.</p>
-          </div>
-          <div class="paragraph">
-            <p>You can also copy this script to your working data directory and customize it
-              to your preferences. In this case you would most likely run it like this:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>./mesh_solve_analyze input_file config_file</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>As a tiny little tutorial, you may want to try to following:</p>
-          </div>
-          <div class="olist arabic">
-            <ol class="arabic">
-              <li>
-                <p>Copy <code>mesh_solve_analyze</code> to your working directory.</p>
-              </li>
-              <li>
-                <p>Copy <code>test25a.aim</code> from the <code>data</code> subdirectory of your installation to your
-                  working directory.</p>
-              </li>
-              <li>
-                <p>Create <code>myconfig.conf</code> as above using a text editor, and save it to your working
-                  directory.</p>
-              </li>
-              <li>
-                <p>Run <code>mesh_solve_analyze</code>:</p>
-              </li>
-            </ol>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>./mesh_solve_analyze test25a.aim myconfig.conf</pre>
-            </div>
-          </div>
-          <div class="admonitionblock note">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/note.png" alt="Note">
-                </td>
-                <td class="content">
-                  <div class="paragraph">
-                    <p>The script must be made "executable" before it can be run. The
-                      script in the example directory should already be executable, but if you
-                      write your own, you may need to change permissions to make it executable
-                      before the script can be run:</p>
-                  </div>
-                  <div class="listingblock">
-                    <div class="content">
-                      <pre>chmod +x mesh_solve_analyze</pre>
-                    </div>
-                  </div>
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>Some further notes about this script:</p>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_scripting_several_models">C.2. Scripting several models</h3>
-          <div class="paragraph">
-            <p>Now that we have a command to do everything required for a single data set,
-              we can write a very simple script that will call it several times for
-              a number of different data sets.</p>
-          </div>
-          <div class="paragraph">
-            <p>Here is an example. Open a text editor and copy in the following lines.
-              Of course, you should replace <code>mydata1.aim</code>, etc&#8230;&#8203; with real data
-              file names. Save it for example as <code>runjobs.sh</code>.</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>source /Applications/faim-6.0/setenv.sh
+</div>
+</div>
+<div class="paragraph">
+<p>If this script does exactly what you want, it can be run directly from
+the installation directory, like this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>/Applications/faim-6.0/examples/batch_processing/mesh_solve_analyze input_file config_file</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>On Linux, <code>Faim</code> is typically installed in <code>/opt</code> rather than <code>/Applications</code>.</p>
+</div>
+<div class="paragraph">
+<p>where <code>input_file</code> is the segmented image file to be processed, and
+<code>config_file</code> is an <code>n88modelgenerator</code> configuration file.  See <a href="#running_n88modelgenerator">Running n88modelgenerator</a> for information on the configuration file
+format.  The very simplest configuration file might contain just a single line specifying the test type:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>test = uniaxial</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>You can use a text editor to create this file, and save it, for example,
+as <code>myconfig.conf</code> in your working directory.</p>
+</div>
+<div class="paragraph">
+<p>You can also copy this script to your working data directory and customize it
+to your preferences.  In this case you would most likely run it like this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>./mesh_solve_analyze input_file config_file</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>As a tiny little tutorial, you may want to try to following:</p>
+</div>
+<div class="olist arabic">
+<ol class="arabic">
+<li>
+<p>Copy <code>mesh_solve_analyze</code> to your working directory.</p>
+</li>
+<li>
+<p>Copy <code>test25a.aim</code> from the <code>data</code> subdirectory of your installation to your working directory.</p>
+</li>
+<li>
+<p>Create <code>myconfig.conf</code> as above using a text editor, and save it to your working directory.</p>
+</li>
+<li>
+<p>Run <code>mesh_solve_analyze</code>:</p>
+</li>
+</ol>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>./mesh_solve_analyze test25a.aim myconfig.conf</pre>
+</div>
+</div>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/note.png" alt="Note">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>The script must be made "executable" before it can be run.  The
+script in the example directory should already be executable, but if you
+write your own, you may need to change permissions to make it executable
+before the script can be run:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>chmod +x mesh_solve_analyze</pre>
+</div>
+</div>
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>Some further notes about this script:</p>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_scripting_several_models">C.2. Scripting several models</h3>
+<div class="paragraph">
+<p>Now that we have a command to do everything required for a single data set,
+we can write a very simple script that will call it several times for
+a number of different data sets.</p>
+</div>
+<div class="paragraph">
+<p>Here is an example.  Open a text editor and copy in the following lines.
+Of course, you should replace <code>mydata1.aim</code>, etc&#8230;&#8203; with real data
+file names.  Save it for example as <code>runjobs.sh</code>.</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>source /Applications/faim-6.0/setenv.sh
 ./mesh_solve_analyze mydata1.aim myconfig.conf
 ./mesh_solve_analyze mydata2.aim myconfig.conf
 ./mesh_solve_analyze mydata3.aim myconfig.conf</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>It can now be run with this command:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>bash runjobs.sh</pre>
-            </div>
-          </div>
-          <div class="admonitionblock tip">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/tip.png" alt="Tip">
-                </td>
-                <td class="content">
-                  <div class="paragraph">
-                    <p>Alternatively, you can make it executable with</p>
-                  </div>
-                  <div class="listingblock">
-                    <div class="content">
-                      <pre>chmod +x runjobs.sh</pre>
-                    </div>
-                  </div>
-                  <div class="paragraph">
-                    <p>and then run it like this:</p>
-                  </div>
-                  <div class="listingblock">
-                    <div class="content">
-                      <pre>./runjobs.sh</pre>
-                    </div>
-                  </div>
-                </td>
-              </tr>
-            </table>
-          </div>
-        </div>
-        <div class="sect2">
-          <h3 id="_unattended_execution_of_scripts">C.3. Unattended execution of scripts</h3>
-          <div class="paragraph">
-            <p>
-            </p>
-          </div>
-          <div class="paragraph">
-            <p>One issue when running scripts or very long jobs is that if the Terminal
-              in which they were started is closed, or the user logs out, the
-              execution will stop. This is obviously undesirable. The solution
-              is to prepend &#8220;nohup&#8221; to the command. For example:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>nohup bash runjobs.sh</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>Now it will keep running until completed or manually stopped.</p>
-          </div>
-          <div class="admonitionblock tip">
-            <table>
-              <tr>
-                <td class="icon">
-                  <img src="./images/icons/tip.png" alt="Tip">
-                </td>
-                <td class="content">
-                  The etymology of nohup is that is is derived from "No Hang Up", which may help to remember it.
-                </td>
-              </tr>
-            </table>
-          </div>
-          <div class="paragraph">
-            <p>However, if you try this, you will note that the messages that usually appear
-              in the Terminal to keep you informed of progress no longer appear. Where did that go? Well, the command
-              has been
-              "detached" from the Terminal window so it can outlive the Terminal. nohup
-              instead will send all the output messages ("STDOUT" in Unix jargon) to a file named <code>nohup.out</code>
-              . You can choose
-              to send it to a file of your choice like this:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>nohup bash runjobs.sh &amp;&gt; runjobs.out</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>As well, since nothing is being output to the Terminal, you might as
-              well get the prompt back so you can continue to use the Terminal for other
-              purposes. Just add an ampersand to the end of the command line, like
-              this:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>nohup bash runjobs.sh &amp;&gt; runjobs.out &amp;</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>Now you can examine <code>runjobs.out</code> as you like, for example with the command:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>cat runjobs.out</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>However, it may be inconvenient to keep re-running this command if you want
-              to monitor the progress in real time. There is a command for that too though:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>tail -f runjobs.out</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>Here the <code>-f</code> flag means &#8220;follow&#8221;. The will continue to echo new lines
-              as they are added to <code>runjobs.out</code> . When you tire of watching this,
-              just hit CONTROL-C. This only stops the <code>tail</code> command; <code>runjobs.sh</code>
-              continues to execute.</p>
-          </div>
-          <div class="paragraph">
-            <p>Finally, when you start a process with nohup, you may need to know how to stop
-              it as well. If the original Terminal is still open, this is not too
-              difficult. First find the job number with the <code>jobs</code> command:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>$ jobs
+</div>
+</div>
+<div class="paragraph">
+<p>It can now be run with this command:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>bash runjobs.sh</pre>
+</div>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+<div class="paragraph">
+<p>Alternatively, you can make it executable with</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>chmod +x runjobs.sh</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>and then run it like this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>./runjobs.sh</pre>
+</div>
+</div>
+</td>
+</tr>
+</table>
+</div>
+</div>
+<div class="sect2">
+<h3 id="_unattended_execution_of_scripts">C.3. Unattended execution of scripts</h3>
+<div class="paragraph">
+<p>
+</p>
+</div>
+<div class="paragraph">
+<p>One issue when running scripts or very long jobs is that if the Terminal
+in which they were started is closed, or the user logs out, the
+execution will stop.  This is obviously undesirable.  The solution
+is to prepend &#8220;nohup&#8221; to the command.  For example:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>nohup bash runjobs.sh</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>Now it will keep running until completed or manually stopped.</p>
+</div>
+<div class="admonitionblock tip">
+<table>
+<tr>
+<td class="icon">
+<img src="./images/icons/tip.png" alt="Tip">
+</td>
+<td class="content">
+The etymology of nohup is that is is derived from "No Hang Up", which may help to remember it.
+</td>
+</tr>
+</table>
+</div>
+<div class="paragraph">
+<p>However, if you try this, you will note that the messages that usually appear
+in the Terminal to keep you informed of progress no longer appear.  Where did that go?  Well, the command has been
+"detached" from the Terminal window so it can outlive the Terminal.  nohup
+instead will send all the output messages ("STDOUT" in Unix jargon) to a file named <code>nohup.out</code> .  You can choose
+to send it to a file of your choice like this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>nohup bash runjobs.sh &amp;&gt; runjobs.out</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>As well, since nothing is being output to the Terminal, you might as
+well get the prompt back so you can continue to use the Terminal for other
+purposes.  Just add an ampersand to the end of the command line, like
+this:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>nohup bash runjobs.sh &amp;&gt; runjobs.out &amp;</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>Now you can examine <code>runjobs.out</code> as you like, for example with the command:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>cat runjobs.out</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>However, it may be inconvenient to keep re-running this command if you want
+to monitor the progress in real time.  There is a command for that too though:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>tail -f runjobs.out</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>Here the <code>-f</code> flag means &#8220;follow&#8221;.  The will continue to echo new lines
+as they are added to <code>runjobs.out</code> .  When you tire of watching this,
+just hit CONTROL-C.  This only stops the <code>tail</code> command; <code>runjobs.sh</code>
+continues to execute.</p>
+</div>
+<div class="paragraph">
+<p>Finally, when you start a process with nohup, you may need to know how to stop
+it as well.  If the original Terminal is still open, this is not too
+difficult.  First find the job number with the <code>jobs</code> command:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ jobs
 [1]+  Running                 nohup ./runjobs.sh &gt;&amp;runjobs.out &amp;</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>(Note that the <code>$</code> is the command prompt - shown here to distinguish the input
-              from the output. Don&#8217;t type the <code>$</code> character.)
-              In this example, the job number is 1. It can be stopped with the command</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>kill %1</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>If the original Terminal is no longer open, then it gets a little more
-              complicated, because we will need to find the Process ID (which is system
-              wide) instead of the Job ID (which is specific to the Terminal). This
-              command will do it in most cases:</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>$ ps -A | grep runjobs.sh
+</div>
+</div>
+<div class="paragraph">
+<p>(Note that the <code>$</code> is the command prompt - shown here to distinguish the input
+from the output.  Don&#8217;t type the <code>$</code> character.)
+In this example, the job number is 1.  It can be stopped with the command</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>kill %1</pre>
+</div>
+</div>
+<div class="paragraph">
+<p>If the original Terminal is no longer open, then it gets a little more
+complicated, because we will need to find the Process ID (which is system
+wide) instead of the Job ID (which is specific to the Terminal).  This
+command will do it in most cases:</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>$ ps -A | grep runjobs.sh
 55713 ttys007    0:00.00 sh ./runjobs.sh
 55719 ttys007    0:00.00 grep runjobs.sh</pre>
-            </div>
-          </div>
-          <div class="paragraph">
-            <p>The Process ID in this example is 55713. We can kill that process with</p>
-          </div>
-          <div class="listingblock">
-            <div class="content">
-              <pre>kill 55713</pre>
-            </div>
-          </div>
-        </div>
-      </div>
-    </div>
-    <div class="sect1">
-      <h2 id="bibliography">Bibliography</h2>
-      <div class="sectionbody">
-        <div class="ulist bibliography">
-          <div class="title">Books</div>
-          <ul class="bibliography">
-            <li>
-              <p><a id="timoshenko1997"></a> Gere JM, Timoshenko SP, 1997. <em>Mechanics of materials</em>, 4 ed. PWS
-                Publishing Company, Boston.</p>
-            </li>
-          </ul>
-        </div>
-        <div class="ulist bibliography">
-          <div class="title">Articles</div>
-          <ul class="bibliography">
-            <li>
-              <p><a id="cusano2015"></a> Cusano NE, Nishiyama KK, Zhang C, Rubin MR, Boutroy S, McMahon DJ,
-                Guo XE, Bilezikian JP (2015). <em>Noninvasive Assessment of Skeletal Microstructure
-                  and Estimated Bone Strength in Hypoparathyroidism</em>. J Bone Miner Res. 10.1002/jbmr.2609</p>
-            </li>
-            <li>
-              <p><a id="boyd2002"></a> Boyd SK, Müller R, Zernicke RF (2002). <em>Mechanical and
-                  architectural bone adaptation in early stage experimental osteoarthritis</em>. J
-                Bone Miner Res 17(4):687-694.</p>
-            </li>
-            <li>
-              <p><a id="boyd2011"></a> Boyd SK, Ammann P (2011). <em>Increased bone strength is
-                  associated with improved bone microarchitecture in intact female rats
-                  treated with strontium ranelate: A finite element analysis study</em>. Bone
-                48(5):1109-16.</p>
-            </li>
-            <li>
-              <p><a id="campbell2010"></a> Campbell GM, Ominsky MS, Boyd SK (2010). <em>Bone quality is
-                  partially recovered after the discontinuation of RANKL administration in
-                  rats by increased bone mass on existing trabeculae: an in vivo micro-CT
-                  study</em>. Osteoporos Int 10.1007/s00198-010-1283-5.</p>
-            </li>
-            <li>
-              <p><a id="gilchrist2014"></a> Gilchrist S, Nishiyama KK, de Bakker P, Guy P, Boyd SK,
-                Oxland T, Cripton PA (2014). <em>Proximal femur elastic behaviour is the same
-                  in impact and constant displacement rate fall simulation</em>. J Biomech 47,
-                3744-3749. 10.1016/j.jbiomech.2014.06.040</p>
-            </li>
-            <li>
-              <p><a id="homminga2001"></a> Homminga J, Huiskes R, Van Rietbergen B, Rüegsegger P,
-                Weinans H (2001). <em>Introduction and evaluation of a gray-value voxel
-                  conversion technique</em>. J Biomech 34(4):513-7.</p>
-            </li>
-            <li>
-              <p><a id="iyer2014"></a> Iyer SP, Nikkel LE, Nishiyama KK, Dworakowski E, Cremers S,
-                Zhang C, McMahon DJ, Boutroy S, Liu XS, Ratner LE, Cohen DJ, Guo XE, Shane E,
-                Nickolas TL (2014). <em>Kidney transplantation with early corticosteroid
-                  withdrawal: paradoxical effects at the central and peripheral skeleton.</em>
-                J Am Soc Nephrol 25, 1331-1341. 10.1681/ASN.2013080851</p>
-            </li>
-            <li>
-              <p><a id="kim2013"></a> Kim S, Macdonald HM, Nettlefold L, McKay HA (2013). <em>A comparison
-                  of bone quality at the distal radius between Asian and white adolescents and
-                  young adults: an HR-pQCT study.</em> J Bone Miner Res 28, 2035-2042. 10.1002/jbmr.1939</p>
-            </li>
-            <li>
-              <p><a id="maatta2015"></a> Maatta M, Macdonald HM, Mulpuri K, McKay HA (2015). <em>Deficits in distal
-                  radius bone strength, density and microstructure are associated with forearm fractures
-                  in girls: an HR-pQCT study.</em> Osteoporos Int 26, 1163-1174. 10.1007/s00198-014-2994-9</p>
-            </li>
-            <li>
-              <p><a id="macdonald2011a"></a> Macdonald HM, Nishiyama KK, Hanley DA, Boyd SK (2011a).
-                <em>Changes in trabecular and cortical bone microarchitecture at peripheral sites
-                  associated with 18 months of teriparatide therapy in postmenopausal women with
-                  osteoporosis.</em> Osteoporos Int 22, 357-362. 10.1007/s00198-010-1226-1
-              </p>
-            </li>
-            <li>
-              <p><a id="macdonald2011b"></a> Macdonald HM, Nishiyama KK, Kang J, Hanley DA, Boyd SK
-                (2011). <em>Age-related patterns of trabecular and cortical bone loss differ
-                  between sexes and skeletal sites: A population-based HR-pQCT study</em>. J Bone
-                Miner Res 26(1):50-62.</p>
-            </li>
-            <li>
-              <p><a id="macneil2008"></a> MacNeil JA, Boyd SK (2008). <em>Bone strength at the distal
-                  radius can be estimated from high-resolution peripheral quantitative
-                  computed tomography and the finite element method.</em> Bone 42(6):1203-1213.</p>
-            </li>
-            <li>
-              <p><a id="nickolas2013"></a> Nickolas TL, Stein EM, Dworakowski E, Nishiyama KK, Komandah-Kosseh M,
-                Zhang CA, McMahon DJ, Liu XS, Boutroy S, Cremers S, Shane E (2013).
-                <em>Rapid cortical bone loss in patients with chronic kidney disease.</em>
-                J Bone Miner Res 28, 1811-1820. 10.1002/jbmr.1916
-              </p>
-            </li>
-            <li>
-              <p><a id="nishiyama2014a"></a> Nishiyama KK, Cohen A, Young P, Wang J, Lappe JM, Guo XE,
-                Dempster DW, Recker RR, Shane E (2014a). <em>Teriparatide increases strength
-                  of the peripheral skeleton in premenopausal women with idiopathic
-                  osteoporosis: a pilot HR-pQCT study.</em> J Clin Endocrinol Metab 99, 2418-2425.
-                10.1210/jc.2014-1041</p>
-            </li>
-            <li>
-              <p><a id="nishiyama2014b"></a> Nishiyama KK, Ito M, Harada A, Boyd SK (2014b). <em>Classification
-                  of women with and without hip fracture based on quantitative computed tomography
-                  and finite element analysis.</em> Osteoporos Int 25, 619-626. 10.1007/s00198-013-2459-6</p>
-            </li>
-            <li>
-              <p><a id="nishiyama2010"></a> Nishiyama KK, Macdonald HM, Buie HR, Hanley DA, Boyd SK
-                (2010). <em>Postmenopausal women with osteopenia have higher cortical porosity
-                  and thinner cortices at the distal radius and tibia than women with normal
-                  aBMD: an in vivo HR-pQCT study.</em> J Bone Miner Res 25 (4):882-890.</p>
-            </li>
-            <li>
-              <p><a id="nishiyama2013"></a> Nishiyama KK, Macdonald HM, Hanley DA, Boyd SK (2013).
-                <em>Women with previous fragility fractures can be classified based on bone
-                  microarchitecture and finite element analysis measured with HR-pQCT.</em>
-                Osteoporos Int 24, 1733-1740. 10.1007/s00198-012-2160-1
-              </p>
-            </li>
-            <li>
-              <p><a id="nishiyama2012"></a> Nishiyama KK, Macdonald HM, Moore SA, Fung T, Boyd SK,
-                McKay HA (2012). <em>Cortical porosity is higher in boys compared with girls
-                  at the distal radius and distal tibia during pubertal growth: an HR-pQCT
-                  study.</em> J Bone Miner Res 27, 273-282. 10.1002/jbmr.552</p>
-            </li>
-            <li>
-              <p><a id="odgaard1997a"></a> Odgaard A (1997a). <em>Three-dimensional methods for
-                  quantification of cancellous bone architecture.</em> Bone 20(4):315-328.</p>
-            </li>
-            <li>
-              <p><a id="odgaard1997b"></a> Odgaard A, Kabel J, Van Rietbergen B, Dalstra M, Huiskes R
-                (1997b). <em>Fabric and elastic principal directions of cancellous bone are
-                  closely related.</em> J Biomech 30(5):487-495.</p>
-            </li>
-            <li>
-              <p><a id="pistoia2001a"></a> Pistoia W, Van Rietbergen B, Eckstein F, Lill C, Lochmuller
-                EM, Rüegsegger P (2001). <em>Prediction of distal radius failure with microFE
-                  models based on 3d- PQCT scans.</em> Adv Exp Med Biol 496:143-51.</p>
-            </li>
-            <li>
-              <p><a id="pistoia2001b"></a> Pistoia W, van Rietbergen B, Laib A, Rüegsegger P (2001).
-                <em>High-resolution three-dimensional-pQCT images can be an adequate basis for
-                  in-vivo microFE analysis of bone.</em> J Biomech Eng 123(2):176-83.
-              </p>
-            </li>
-            <li>
-              <p><a id="stadelmann2015a"></a> Stadelmann VA, Guenther C, Eberli U, Camenisch K,
-                Zeiter S (2015a). <em>The effects of age on implant integration.</em> Osteologie 2, A53.</p>
-            </li>
-            <li>
-              <p><a id="stadelmann2015b"></a> Stadelmann VA, Potapova I, Camenisch K, Nehrbass D,
-                Richards RG, Moriarty TF (2015b). <em>In Vivo MicroCT Monitoring of Osteomyelitis
-                  in a Rat Model.</em> Biomed Res Int 2015, 587857. 10.1155/2015/587857</p>
-            </li>
-            <li>
-              <p><a id="stadelmann2012"></a> Stadelmann VA, Conway CM, Boyd SK (2012).
-                <em>In vivo monitoring of bone – implant bond strength by microCT and finite
-                  element modelling</em>. Computer Methods in Biomechanics and Biomedical
-                Engineering, DOI:10.1080/10255842.2011.648625
-              </p>
-            </li>
-            <li>
-              <p><a id="su2006"></a> Su R, Campbell GM, Boyd SK (2006). <em>Establishment of an
-                  architecture-specific experimental validation approach for finite element
-                  modeling of bone by rapid prototyping and high resolution computed
-                  tomography.</em> Med Eng Phys 29(4):480-490.</p>
-            </li>
-            <li>
-              <p><a id="su2014"></a> Sutter S, Nishiyama KK, Kepley A, Zhou B, Wang J, McMahon DJ,
-                Guo XE, Stein EM (2014). <em>Abnormalities in cortical bone, trabecular plates,
-                  and stiffness in postmenopausal women treated with glucocorticoids.</em>
-                J Clin Endocrinol Metab 99, 4231-4240. 10.1210/jc.2014-2177</p>
-            </li>
-            <li>
-              <p><a id="vanrietbergen1996"></a> van Rietbergen B, Odgaard A, Kabel J, Huiskes R.
-                <em>Direct mechanics assessment of elastic symmetries and properties of
-                  trabecular bone architecture.</em> J Biomechanics 29(12):1653-7.
-              </p>
-            </li>
-            <li>
-              <p><a id="zderc2014"></a> Zderic I, Windolf M, Gueorguiev B, Stadelmann VA (2014).
-                <em>Monitoring of cement distribution in vertebral bodies during
-                  vertebroplasty.</em> Bone Joint J 96-B:(SUPP 11), 183.
-              </p>
-            </li>
-          </ul>
-        </div>
-      </div>
-    </div>
-    <div class="sect1">
-      <h2 id="_index">Index</h2>
-      <div class="sectionbody">
-
-      </div>
-    </div>
-    <div class="sect1">
-      <h2 id="_colophon">Colophon</h2>
-      <div class="sectionbody">
-        <div class="paragraph">
-          <p>This documentation was written with asciidoc
-            (<a href="http://www.methods.co.nz/asciidoc/" class="bare">http://www.methods.co.nz/asciidoc/</a>).
-            The PDF is generated by compiling asciidoc into DocBook
-            (<a href="http://www.oasis-open.org/docbook/" class="bare">http://www.oasis-open.org/docbook/</a>) and
-            processing with dblatex
-            (<a href="http://dblatex.sourceforge.net/" class="bare">http://dblatex.sourceforge.net/</a>).</p>
-        </div>
-      </div>
-    </div>
-  </div>
-  <div id="footer">
-    <div id="footer-text">
-      Last updated 2021-06-18 12:47:47 -0600
-    </div>
-  </div>
-  <script type="text/x-mathjax-config">
+</div>
+</div>
+<div class="paragraph">
+<p>The Process ID in this example is 55713.  We can kill that process with</p>
+</div>
+<div class="listingblock">
+<div class="content">
+<pre>kill 55713</pre>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="sect1">
+<h2 id="bibliography">Bibliography</h2>
+<div class="sectionbody">
+<div class="ulist bibliography">
+<div class="title">Books</div>
+<ul class="bibliography">
+<li>
+<p><a id="timoshenko1997"></a> Gere JM, Timoshenko SP, 1997. <em>Mechanics of materials</em>, 4 ed. PWS Publishing Company, Boston.</p>
+</li>
+</ul>
+</div>
+<div class="ulist bibliography">
+<div class="title">Articles</div>
+<ul class="bibliography">
+<li>
+<p><a id="boyd2002"></a> Boyd SK, Müller R, Zernicke RF (2002). <em>Mechanical and
+architectural bone adaptation in early stage experimental osteoarthritis</em>. J
+Bone Miner Res 17(4):687-694.</p>
+</li>
+<li>
+<p><a id="boyd2011"></a> Boyd SK, Ammann P (2011). <em>Increased bone strength is
+associated with improved bone microarchitecture in intact female rats
+treated with strontium ranelate: A finite element analysis study</em>. Bone
+48(5):1109-16.</p>
+</li>
+<li>
+<p><a id="campbell2010"></a> Campbell GM, Ominsky MS, Boyd SK (2010). <em>Bone quality is
+partially recovered after the discontinuation of RANKL administration in
+rats by increased bone mass on existing trabeculae: an in vivo micro-CT
+study</em>. Osteoporos Int 10.1007/s00198-010-1283-5.</p>
+</li>
+<li>
+<p><a id="cusano2015"></a> Cusano NE, Nishiyama KK, Zhang C, Rubin MR, Boutroy S, McMahon DJ,
+Guo XE, Bilezikian JP (2015). <em>Noninvasive Assessment of Skeletal Microstructure
+and Estimated Bone Strength in Hypoparathyroidism</em>. J Bone Miner Res. 10.1002/jbmr.2609</p>
+</li>
+<li>
+<p><a id="gilchrist2014"></a> Gilchrist S, Nishiyama KK, de Bakker P, Guy P, Boyd SK,
+Oxland T, Cripton PA (2014). <em>Proximal femur elastic behaviour is the same
+in impact and constant displacement rate fall simulation</em>. J Biomech 47,
+3744-3749. 10.1016/j.jbiomech.2014.06.040</p>
+</li>
+<li>
+<p><a id="homminga2001"></a> Homminga J, Huiskes R, Van Rietbergen B, Rüegsegger P,
+Weinans H (2001). <em>Introduction and evaluation of a gray-value voxel
+conversion technique</em>. J Biomech 34(4):513-7.</p>
+</li>
+<li>
+<p><a id="iyer2014"></a> Iyer SP, Nikkel LE, Nishiyama KK, Dworakowski E, Cremers S,
+Zhang C, McMahon DJ, Boutroy S, Liu XS, Ratner LE, Cohen DJ, Guo XE, Shane E,
+Nickolas TL (2014). <em>Kidney transplantation with early corticosteroid
+withdrawal: paradoxical effects at the central and peripheral skeleton.</em>
+J Am Soc Nephrol 25, 1331-1341. 10.1681/ASN.2013080851</p>
+</li>
+<li>
+<p><a id="kim2013"></a> Kim S, Macdonald HM, Nettlefold L, McKay HA (2013). <em>A comparison
+of bone quality at the distal radius between Asian and white adolescents and
+young adults: an HR-pQCT study.</em> J Bone Miner Res 28, 2035-2042. 10.1002/jbmr.1939</p>
+</li>
+<li>
+<p><a id="knowles2022"></a> Knowles NK, Neeteson N, Boyd SK (2022). <em>High performance
+ multi-platform computing for large-scale image-based finite element modeling of
+bone.</em> Comput Methods Programs Biomed 225, 107051. 10.1016/j.cmpb.2022.107051</p>
+</li>
+<li>
+<p><a id="maatta2015"></a> Maatta M, Macdonald HM, Mulpuri K, McKay HA (2015). <em>Deficits in distal
+radius bone strength, density and microstructure are associated with forearm fractures
+in girls: an HR-pQCT study.</em> Osteoporos Int 26, 1163-1174. 10.1007/s00198-014-2994-9</p>
+</li>
+<li>
+<p><a id="macdonald2011a"></a> Macdonald HM, Nishiyama KK, Hanley DA, Boyd SK (2011a).
+<em>Changes in trabecular and cortical bone microarchitecture at peripheral sites
+associated with 18 months of teriparatide therapy in postmenopausal women with
+osteoporosis.</em> Osteoporos Int 22, 357-362. 10.1007/s00198-010-1226-1</p>
+</li>
+<li>
+<p><a id="macdonald2011b"></a> Macdonald HM, Nishiyama KK, Kang J, Hanley DA, Boyd SK
+(2011). <em>Age-related patterns of trabecular and cortical bone loss differ
+between sexes and skeletal sites: A population-based HR-pQCT study</em>. J Bone
+Miner Res 26(1):50-62.</p>
+</li>
+<li>
+<p><a id="macneil2008"></a> MacNeil JA, Boyd SK (2008). <em>Bone strength at the distal
+radius can be estimated from high-resolution peripheral quantitative
+computed tomography and the finite element method.</em> Bone 42(6):1203-1213.</p>
+</li>
+<li>
+<p><a id="nickolas2013"></a> Nickolas TL, Stein EM, Dworakowski E, Nishiyama KK, Komandah-Kosseh M,
+Zhang CA, McMahon DJ, Liu XS, Boutroy S, Cremers S, Shane E (2013).
+<em>Rapid cortical bone loss in patients with chronic kidney disease.</em>
+J Bone Miner Res 28, 1811-1820. 10.1002/jbmr.1916</p>
+</li>
+<li>
+<p><a id="nishiyama2014a"></a> Nishiyama KK, Cohen A, Young P, Wang J, Lappe JM, Guo XE,
+Dempster DW, Recker RR, Shane E (2014a). <em>Teriparatide increases strength
+of the peripheral skeleton in premenopausal women with idiopathic
+osteoporosis: a pilot HR-pQCT study.</em> J Clin Endocrinol Metab 99, 2418-2425.
+10.1210/jc.2014-1041</p>
+</li>
+<li>
+<p><a id="nishiyama2014b"></a> Nishiyama KK, Ito M, Harada A, Boyd SK (2014b). <em>Classification
+of women with and without hip fracture based on quantitative computed tomography
+and finite element analysis.</em> Osteoporos Int 25, 619-626. 10.1007/s00198-013-2459-6</p>
+</li>
+<li>
+<p><a id="nishiyama2010"></a> Nishiyama KK, Macdonald HM, Buie HR, Hanley DA, Boyd SK
+(2010). <em>Postmenopausal women with osteopenia have higher cortical porosity
+and thinner cortices at the distal radius and tibia than women with normal
+aBMD: an in vivo HR-pQCT study.</em> J Bone Miner Res 25 (4):882-890.</p>
+</li>
+<li>
+<p><a id="nishiyama2013"></a> Nishiyama KK, Macdonald HM, Hanley DA, Boyd SK (2013).
+<em>Women with previous fragility fractures can be classified based on bone
+microarchitecture and finite element analysis measured with HR-pQCT.</em>
+Osteoporos Int 24, 1733-1740. 10.1007/s00198-012-2160-1</p>
+</li>
+<li>
+<p><a id="nishiyama2012"></a> Nishiyama KK, Macdonald HM, Moore SA, Fung T, Boyd SK,
+McKay HA (2012). <em>Cortical porosity is higher in boys compared with girls
+at the distal radius and distal tibia during pubertal growth: an HR-pQCT
+study.</em> J Bone Miner Res 27, 273-282. 10.1002/jbmr.552</p>
+</li>
+<li>
+<p><a id="odgaard1997a"></a> Odgaard A (1997a). <em>Three-dimensional methods for
+quantification of cancellous bone architecture.</em> Bone 20(4):315-328.</p>
+</li>
+<li>
+<p><a id="odgaard1997b"></a> Odgaard A, Kabel J, Van Rietbergen B, Dalstra M, Huiskes R
+(1997b). <em>Fabric and elastic principal directions of cancellous bone are
+closely related.</em> J Biomech 30(5):487-495.</p>
+</li>
+<li>
+<p><a id="pistoia2001a"></a> Pistoia W, Van Rietbergen B, Eckstein F, Lill C, Lochmuller
+EM, Rüegsegger P (2001). <em>Prediction of distal radius failure with microFE
+models based on 3d- PQCT scans.</em> Adv Exp Med Biol 496:143-51.</p>
+</li>
+<li>
+<p><a id="pistoia2001b"></a> Pistoia W, van Rietbergen B, Laib A, Rüegsegger P (2001).
+<em>High-resolution three-dimensional-pQCT images can be an adequate basis for
+in-vivo microFE analysis of bone.</em> J Biomech Eng 123(2):176-83.</p>
+</li>
+<li>
+<p><a id="stadelmann2015a"></a> Stadelmann VA, Guenther C, Eberli U, Camenisch K,
+Zeiter S (2015a). <em>The effects of age on implant integration.</em> Osteologie 2, A53.</p>
+</li>
+<li>
+<p><a id="stadelmann2015b"></a> Stadelmann VA, Potapova I, Camenisch K, Nehrbass D,
+Richards RG, Moriarty TF (2015b). <em>In Vivo MicroCT Monitoring of Osteomyelitis
+in a Rat Model.</em> Biomed Res Int 2015, 587857. 10.1155/2015/587857</p>
+</li>
+<li>
+<p><a id="stadelmann2012"></a> Stadelmann VA, Conway CM, Boyd SK (2012).
+<em>In vivo monitoring of bone – implant bond strength by microCT and finite
+element modelling</em>. Computer Methods in Biomechanics and Biomedical
+Engineering, DOI:10.1080/10255842.2011.648625</p>
+</li>
+<li>
+<p><a id="su2006"></a> Su R, Campbell GM, Boyd SK (2006). <em>Establishment of an
+architecture-specific experimental validation approach for finite element
+modeling of bone by rapid prototyping and high resolution computed
+tomography.</em> Med Eng Phys 29(4):480-490.</p>
+</li>
+<li>
+<p><a id="su2014"></a> Sutter S, Nishiyama KK, Kepley A, Zhou B, Wang J, McMahon DJ,
+Guo XE, Stein EM (2014). <em>Abnormalities in cortical bone, trabecular plates,
+and stiffness in postmenopausal women treated with glucocorticoids.</em>
+J Clin Endocrinol Metab 99, 4231-4240. 10.1210/jc.2014-2177</p>
+</li>
+<li>
+<p><a id="vanrietbergen1996"></a> van Rietbergen B, Odgaard A, Kabel J, Huiskes R.
+<em>Direct mechanics assessment of elastic symmetries and properties of
+trabecular bone architecture.</em> J Biomechanics 29(12):1653-7.</p>
+</li>
+<li>
+<p><a id="zderc2014"></a> Zderic I, Windolf M, Gueorguiev B, Stadelmann VA (2014).
+<em>Monitoring of cement distribution in vertebral bodies during
+vertebroplasty.</em> Bone Joint J 96-B:(SUPP 11), 183.</p>
+</li>
+</ul>
+</div>
+</div>
+</div>
+<div class="sect1">
+<h2 id="_index">Index</h2>
+<div class="sectionbody">
+
+</div>
+</div>
+<div class="sect1">
+<h2 id="_colophon">Colophon</h2>
+<div class="sectionbody">
+<div class="paragraph">
+<p>This documentation was written with asciidoc
+(<a href="http://www.methods.co.nz/asciidoc/" class="bare">http://www.methods.co.nz/asciidoc/</a>).
+The PDF is generated by compiling asciidoc into DocBook
+(<a href="http://www.oasis-open.org/docbook/" class="bare">http://www.oasis-open.org/docbook/</a>) and processing with dblatex
+(<a href="http://dblatex.sourceforge.net/" class="bare">http://dblatex.sourceforge.net/</a>).</p>
+</div>
+</div>
+</div>
+</div>
+<div id="footer">
+<div id="footer-text">
+Last updated 2025-07-25 09:43:44 -0600
+</div>
+</div>
+<script type="text/x-mathjax-config">
 MathJax.Hub.Config({
   messageStyle: "none",
   tex2jax: {
@@ -21847,14 +17736,13 @@ <h2 id="_colophon">Colophon</h2>
 })
 MathJax.Hub.Register.StartupHook("AsciiMath Jax Ready", function () {
   MathJax.InputJax.AsciiMath.postfilterHooks.Add(function (data, node) {
-    if ((node = data.script.parentNode) && (node = node.parentNode) && node.classList.contains('stemblock')) {
+    if ((node = data.script.parentNode) && (node = node.parentNode) && node.classList.contains("stemblock")) {
       data.math.root.display = "block"
     }
     return data
   })
 })
 </script>
-  <script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-MML-AM_HTMLorMML"></script>
+<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.9/MathJax.js?config=TeX-MML-AM_HTMLorMML"></script>
 </body>
-
 </html>
\ No newline at end of file
diff --git a/n88/documentation/index.html b/n88/documentation/index.html
index 20304f3..28a9fd0 100644
--- a/n88/documentation/index.html
+++ b/n88/documentation/index.html
@@ -30,7 +30,7 @@ <h4>Version 10.0</h4>
 
 <p>The FAIM User Manual for version 10.0 is available on-line <a href="faim/10.0/manual/index.html">here</a>.</p>
 
-<!-- <p>A <a href="faim/10.0/manual/Faim%20User%20Manual%20version%2010.0.pdf">PDF version</a> is also available for download.</p> -->
+<p>A <a href="faim/10.0/manual/Faim%20User%20Manual%20version%2010.0.pdf">PDF version</a> is also available for download.</p>
 
 <h4>Version 9.0</h4>
 
diff --git a/n88/downloads/index.html b/n88/downloads/index.html
index b26cda8..872c754 100644
--- a/n88/downloads/index.html
+++ b/n88/downloads/index.html
@@ -176,10 +176,13 @@ <h2>Data, tutorials and examples</h2>
 
             You can download all the data files and example scripts for the tutorials in the manual here:
             <li><a
-                    href="https://github.com/Bonelab/bonelab.github.io/releases/tag/Tutorials-v9.0">Tutorials-v9.0.zip</a>
+                    href="https://github.com/Bonelab/bonelab.github.io/releases/tag/Tutorials-v10.0" target="_blank" rel="noopener">Tutorials-v10.0.zip</a>
             </li>
             <li><a
-                    href="https://github.com/Bonelab/bonelab.github.io/releases/tag/Tutorials-v8.0">Tutorials-v8.0.zip</a>
+                    href="https://github.com/Bonelab/bonelab.github.io/releases/tag/Tutorials-v9.0" target="_blank" rel="noopener">Tutorials-v9.0.zip</a>
+            </li>
+            <li><a
+                    href="https://github.com/Bonelab/bonelab.github.io/releases/tag/Tutorials-v8.0" target="_blank" rel="noopener">Tutorials-v8.0.zip</a>
             </li>
 
         </div>