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Added
Periodic microstructures, in 2D and 3D. The <periodic> field of the
domain selects the periodic axes: True (or 1) for all of them, or
their names, such as xz. The same option is an argument of cli.run, SeedList.position and PolyMesh.from_seeds.
Periodic seed placement: seeds crossing a periodic face are placed
without overlapping the seeds on the opposite side.
Periodic tessellation: the Laguerre tessellation is periodic across the
faces. Cells crossing a face are cut, and their pieces tile the domain.
Periodic meshes: the triangular, tetrahedral and raster meshes have
matching nodes on opposite faces. The quality and size settings
(min_angle, max_volume, the max_volume of each phase, max_edge_length) act as on non-periodic meshes. In 2D, the cells next
to the periodic faces are copied outside the faces while meshing, so that
Triangle refines both faces the same way. In 3D, the facets are
triangulated with the points that TetGen adds on them in a first pass,
identically on opposite faces, and the mesh is built again with the
facets fixed.
gmsh is not supported for periodic meshes, which need the default mesher,
Triangle/TetGen.
Output of periodic meshes: the pairs of periodic points, nodes and facets
are stored in the meshes and in their text files. The Abaqus output has a
node set per periodic face, in matching order. The verification unwraps
grains that are split by the faces.
Cells of the same amorphous phase that touch across a periodic face are
merged into one region, like cells that share a facet. Every mesher and
writer labels the merged region with the smallest seed number among its
cells.
The element attributes and the facets of periodic meshes are computed
from the geometry of the polymesh. TetGen can leave sub-faces of a facet
unmarked when it may not modify the boundary, and its region attributes
then leak between cells.
Examples: periodic_2D.xml, periodic_3D.xml and periodic_tiling.py demonstrate periodic microstructures, pbx_2D.xml and pbx_3D.xml a periodic particulate composite
(crystalline inclusions in a binder), and pbx_interface_2D.xml and pbx_interface_3D.xml meshes refined at the grain boundaries.
periodic_margin (a setting, and an argument of SeedList.position
and cli.run): the minimum distance between the surface of a seed and
a periodic face. A seed that ends within the margin of a face, or crosses
it by less, is placed elsewhere, since it would leave a thin piece of its
grain on the opposite face and elements much smaller than the target size
of the mesh there. auto uses half the target edge length of the mesh,
or an eighth of the size of the smallest seed if that is smaller (the
smallest seed needs about four elements across it, and cannot satisfy a
margin larger than itself).
PolyMesh.from_seeds(edge_opt=True, periodic_margin=...): the edge
optimization of periodic meshes treats the thickness of each piece of a
cell at a periodic face as a feature, like an edge. It moves the seeds of
the pieces thinner than the margin, and of their neighbors, normal to the
face, until the piece reaches the margin or the cell no longer crosses
the face. The CLI passes its periodic_margin setting on.
PolyMesh.from_seeds(edge_opt=True, min_angle=...): the corners of the
cells at the periodic faces narrower than the minimum angle of the mesh
are features too, since the mesher cannot reach the minimum angle there
and fills them with shells of very small elements. The seeds on both
sides of the facet are moved along it to open the corner. The CLI passes mesh_min_angle.
Edge optimization: a trial is now kept when the shortest feature that it
changes gets longer (for the shortest edge of the mesh, the criterion is
unchanged). A target that does not improve in n_iter trials is left
alone and the next one is taken, and the seeds moved across a periodic
face are wrapped back into the domain. The CLI writes and plots the seeds
again after the optimization, so that the seed files match the polygonal
mesh. The periodic examples use periodic_marginauto and edge_opt.
When the nodes on the periodic faces of a 2D mesh do not match after the
first pass, the next pass starts from all the points of the mesh (those on
a periodic face and on its image merged and put on both faces), so that
Triangle only refines it around the merged points, instead of meshing the
cells again with the points on the faces only, which split the narrow
corners of the cells again at every pass, down to very small elements.
The copies of the cells at the corners of the domain, used while meshing,
were open on one side and partly discarded by Triangle.
Fixed
Seed generation is reproducible: the RNG seed chain no longer depends on
the (hash-randomized) iteration order of the phase keywords, and SeedList.from_info and cli.run no longer modify the rng_seeds
and filetypes arguments (or their mutable defaults).
<dist_type> cdf </dist_type> inputs are no longer distorted when the
x-values in the CSV file are not evenly spaced (density=False is now
passed to scipy.stats.rv_histogram). pdf is accepted as an alias
of histogram.
3D mesh_max_volume and per-phase max_volume are now honored by
TetGen. In 2D, a per-phase max_volume larger than the global value is
no longer capped, and an infinite mesh_max_volume is no longer passed
to Triangle as the (mis-parsed) switch ainf. The max_volume of a
phase replaces the global value for that phase, an infinite one included,
and phases without one, such as the default phases when none are given,
use the global value.
Ellipsoid.approximate mapped the axes incorrectly for the ordering
c >= a >= b, so those grains were tessellated with the wrong orientation.
The b >= c >= a ordering is now sorted explicitly as well.
Seeds read back from seeds.txt can be repositioned. Ellipsoid seeds
with a rotation sequence are written in a form that can be read back.
Cells that intersect a circular or elliptical domain without having a
vertex inside it are no longer dropped, cells cut twice by the boundary
are clipped correctly, and the stored areas of clipped cells are correct
(PolyMesh.volumes, verification.volume_fractions).
_segment_cross no longer hangs for large coordinate values, and sample_pos_within raises instead of looping forever when the position
distribution does not cover the domain.
cli.plot_tri no longer hangs in 3D when a void grain touches the
boundary of the domain.
Relative <filename> and <directory> paths inside repeated tags
(e.g. several <material> blocks) are resolved relative to the input
file. A top-level <include> no longer discards materials, values such
as true_cdf.csv no longer cause infinite recursion, and inf is
parsed as a float.
Verification: angle_rad inputs are no longer replaced by a uniform
distribution, <orientation> random </orientation> and vector-valued
parameters (side_lengths, axes) no longer crash, unknown phase
fields are ignored, the caller's phases are not modified. The statistics
of 2D orientations compare the angles modulo the symmetry of the shape,
a half turn for ellipses and rectangles and a quarter turn for squares.
RasterMesh: elements are counter-clockwise / right-handed (valid for
Abaqus CPS4/C3D8), facets and their attributes are correct, vtk and abaqus output work (including with voids), 3D plotting works.
TriMesh.write: valid .ele/.edge/.face files, Abaqus
exterior surface unions reference only defined surfaces, full-precision
points in text files, no dangling headers for meshes without attributes.
PolyMesh.from_seeds(edge_opt=True) leaves the seed list in the
accepted state (positions and breakdowns consistent) and is quiet unless verbose. PolyMesh.write(format='poly') writes the file, and PolyMesh.__eq__ is silent and no longer cubic.
Circle and Sphere are hashable, by identity, like the other
geometries, so they can be put in sets and used as dictionary keys.
Ellipse(axes=...), Ellipse(matrix=...), Ellipsoid(c=.., ratio_bc=..), Square.area_expectation(side_lengths=...), the *_expectation methods with numpy scalars, Sphere.plot and 3D PolyMesh.plot/SeedList.plot_breakdown on a fresh figure, Rectangle.within for rotated rectangles, reflect for ellipses
and ellipsoids, single-material color_by settings, numpy arrays as
per-item plot keywords.
Changed
pyvoro is installed from the pyvoro-rimoli package instead of pyvoro-mmalahe. Both provide the same pyvoro module.
pyvoro-mmalahe bundles Voro++ 0.4.6, whose radical (Laguerre)
tessellation can return a cell uncut when the compiler fuses
multiply-adds. On macOS, pip compiles pyvoro-mmalahe from source, and
Apple clang fuses them by default on Apple silicon. The cells then
overlap, and Triangle and TetGen can crash on the resulting polygonal
mesh. pyvoro-rimoli bundles the current Voro++, which gives the same
cells either way, and has wheels for Linux, macOS and Windows. Uninstall
pyvoro-mmalahe before upgrading (pip uninstall pyvoro-mmalahe),
since the two packages install the same files.
The continuous integration installs the current pytest and no longer
installs tox from the requirements. The pinned tox 3.14 forced an old
pluggy, with which pytest itself fails to import, so no test could run.
The jobs of the test matrix no longer cancel each other on a failure.
Read the Docs builds the documentation with Python 3.10 instead of 3.8,
which pyvoro-rimoli and the current versions of other dependencies do not
support. It installs requirements.txt like the documentation check of
the continuous integration, and docs/requirements.txt also keeps numpy
below 2, so that numpy is installed once.
The facets of the triangular and tetrahedral meshes created from a
polygonal mesh are sorted (nodes in ascending order within a facet,
facets in lexicographic order), whatever the mesher. Triangle and TetGen
list the edges/faces of a mesh in an order, and with an orientation, that
vary from one run to the next, so the mesh files of otherwise identical
runs differed in the order of their facets.
max_edge_length (mesh_max_edge_length) acts in 3D on the triangles
of the grain boundaries: when it is set, the facets of the polyhedral mesh
are triangulated to that edge length (with Triangle, minimum angle 20
degrees) before TetGen meshes the cells, for periodic and non-periodic
meshes alike, so that the elements can be smaller at the interfaces than
inside the grains (see the pbx_interface_3D.xml example). The
geometric tests of a mesh against its polymesh use the non-planarity of
the facets (from the snapping of the points to the periodic faces) as
their tolerance, and each element is assigned to the cell in which its
centroid is deepest.
Ellipsoid.limits is exact for rotated ellipsoids (it was sampled).
A Seed created with a position (or a geometry with a center) has
its breakdown at that position. The geometry center is no longer reset
to the origin.
Ellipse, Ellipsoid and NBox geometries compare equal when
their parameters are equal, and keep their identity-based hash.
Unused sampling helpers were removed from seeding.seedlist.