Reference : Simple and extensible plate and shell finite element models through automatic code ge...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Physical, chemical, mathematical & earth Sciences : Physics
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/35450
Simple and extensible plate and shell finite element models through automatic code generation tools
English
Hale, Jack mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Brunetti, Matteo []
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Maurini, Corrado []
15-Oct-2018
Computers & Structures
Pergamon Press - An Imprint of Elsevier Science
209
163-181
Yes (verified by ORBilu)
International
0045-7949
Oxford
United Kingdom
[en] A large number of advanced finite element shell formulations have been developed, but their adoption is hindered by complexities of transforming mathematical formulations into computer code. Furthermore, it is often not straightforward to adapt existing implementations to emerging frontier problems in thin structural mechanics including nonlinear material behaviour, complex microstructures, multi-physical couplings, or active materials. We show that by using a high-level mathematical modelling strategy and automatic code generation tools, a wide range of advanced plate and shell finite element models can be generated easily and efficiently, including: the linear and non-linear geometrically exact Naghdi shell models, the Marguerre-von K ́arm ́an shallow shell model, and the Reissner-Mindlin plate model. To solve shear and membrane-locking issues, we use: a novel re-interpretation of the Mixed Interpolation of Tensorial Component (MITC) procedure as a mixed-hybridisable finite element method, and a high polynomial order Partial Selective Reduced Integration (PSRI) method. The effectiveness of these approaches and the ease of writing solvers is illustrated through a large set of verification tests and demo codes, collected in an open-source library, FEniCS-Shells, that extends the FEniCS Project finite element problem solving environment.
Agence National de la Recherche
Researchers ; Professionals
http://hdl.handle.net/10993/35450
10.1016/j.compstruc.2018.08.001
https://doi.org/10.6084/m9.figshare.4291160
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