A FEniCS Project-based library for simulating thin structures.
FEniCSx-Shells is an open-source library that provides finite element-based numerical methods for solving a wide range of thin structural models (beams, plates and shells) expressed in the Unified Form Language (UFL) of the FEniCS Project.
FEniCSx-Shells is an experimental version targeting version v0.8.0.dev0 of the new DOLFINx solver.
The foundational aspects of the FEniCS-Shells project are described in the paper:
Simple and extensible plate and shell finite element models through automatic code generation tools, J. S. Hale, M. Brunetti, S. P. A. Bordas, C. Maurini. Computers & Structures, 209, 163-181, doi:10.1016/j.compstruc.2018.08.001.
The documentation can be viewed here.
FEniCSx-Shells currently includes implementations of the following structural models:
- Reissner-Mindlin plates.
- Kirchhoff-Love plates.
A roadmap for future developments will be shared soon.
We are using a variety of numerical techniques for discretising the PDEs including:
- Mixed Interpolation of Tensorial Component (MITC) reduction operators.
- Tangential Displacement Normal-Normal Derivative (TDNNS) methods.
- Hellman-Herrmann-Johnson (HHJ) finite elements.
Please consider citing the old FEniCS-Shells paper and code if you find this repository useful.
@article{hale_simple_2018,
title = {Simple and extensible plate and shell finite element models through automatic code generation tools},
volume = {209},
issn = {0045-7949},
url = {http://www.sciencedirect.com/science/article/pii/S0045794918306126},
doi = {10.1016/j.compstruc.2018.08.001},
journal = {Computers \& Structures},
author = {Hale, Jack S. and Brunetti, Matteo and Bordas, Stéphane P. A. and Maurini, Corrado},
month = oct,
year = {2018},
keywords = {Domain specific language, FEniCS, Finite element methods, Plates, Shells, Thin structures},
pages = {163--181},
}
along with the appropriate general FEniCS citations.
- Jack S. Hale, University of Luxembourg, Luxembourg.
- Tian Yang, EPFL, Switzerland.
FEniCSx-Shells contains code and text adapted from the FEniCS-Shells project hosted on BitBucket authored by:
- Matteo Brunetti, University of Udine, Udine.
- Jack S. Hale, University of Luxembourg, Luxembourg.
- Corrado Maurini, Sorbonne Université, France.
We are always looking for contributions and help with FEniCSx-Shells. If you have ideas, nice applications or code contributions then we would be happy to help you get them included. We ask you to follow the FEniCS Project git workflow.
Please use the GitHub issue tracker to report any issues.
FEniCSx-Shells is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License along with FEniCSx-Shells. If not, see http://www.gnu.org/licenses/.