Reference : Strain smoothed for compressible and nearly-incompressible finite elasticity
Scientific journals : Article
Engineering, computing & technology : Civil engineering
Computational Sciences
http://hdl.handle.net/10993/28506
Strain smoothed for compressible and nearly-incompressible finite elasticity
English
Lee, Chang-Kye mailto []
Mihai, L. Angela mailto []
Hale, Jack mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Kerfriden, Pierre mailto []
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
1-Apr-2017
Computers & Structures
Pergamon Press - An Imprint of Elsevier Science
182
540-555
Yes (verified by ORBilu)
International
0045-7949
Oxford
United Kingdom
[en] strain smoothing ; smoothed finite element method (S-FEM) ; near-incompressibility ; large deformation ; volumetric locking ; mesh distortion sensitivity
[en] We present a robust and efficient form of the smoothed finite element method (S-FEM) to simulate hyperelastic bodies with compressible and nearly-incompressible neo-Hookean behaviour.
The resulting method is stable, free from volumetric locking and robust on highly distorted meshes.
To ensure inf-sup stability of our method we add a cubic bubble function to each element.
The weak form for the smoothed hyperelastic problem is derived analogously to that of smoothed linear elastic problem.
Smoothed strains and smoothed deformation gradients are evaluated on sub-domains selected by either edge information (edge-based S-FEM, ES-FEM) or nodal information (node-based S-FEM, NS-FEM).
Numerical examples are shown that demonstrate the efficiency and reliability of the proposed approach in the nearly-incompressible limit and on highly distorted meshes.
We conclude that, strain smoothing is at least as accurate and stable, as the MINI element, for an equivalent problem size.
EPSRC EP/M011992/1 ; EPSRC EP/J01947X/1
http://hdl.handle.net/10993/28506
10.1016/j.compstruc.2016.05.004
This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/)
FP7 ; 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery
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