Versatile stabilized finite element formulations for nearly and fully incompressible solid mechanics.

Incompressible elasticity Large strain elasticity Mixed finite elements Piecewise linear interpolation Transient dynamics

Journal

Computational mechanics
ISSN: 0178-7675
Titre abrégé: Comput Mech
Pays: Germany
ID NLM: 9883520

Informations de publication

Date de publication:
Jan 2020
Historique:
entrez: 25 1 2020
pubmed: 25 1 2020
medline: 25 1 2020
Statut: ppublish

Résumé

Computational formulations for large strain, polyconvex, nearly incompressible elasticity have been extensively studied, but research on enhancing solution schemes that offer better tradeoffs between accuracy, robustness, and computational efficiency remains to be highly relevant. In this paper, we present two methods to overcome locking phenomena, one based on a displacement-pressure formulation using a stable finite element pairing with bubble functions, and another one using a simple pressure-projection stabilized ℙ

Identifiants

pubmed: 31975744
doi: 10.1007/s00466-019-01760-w
pmc: PMC6974529
mid: EMS84667
doi:

Types de publication

Journal Article

Langues

eng

Pagination

193-215

Subventions

Organisme : Austrian Science Fund FWF
ID : F 3210
Pays : Austria
Organisme : Austrian Science Fund FWF
ID : I 2760
Pays : Austria

Références

Prog Biophys Mol Biol. 2008 Jan-Apr;96(1-3):3-18
pubmed: 17900668
Proc Math Phys Eng Sci. 2015 Dec 8;471(2184):20150641
pubmed: 26807042
J Comput Phys. 2016 Jan 15;305:622-646
pubmed: 26819483
Front Physiol. 2018 May 28;9:538
pubmed: 29892227

Auteurs

Elias Karabelas (E)

Institute for Mathematics and Scientific Computing, NAWI Graz, University of Graz, Graz, Austria.
Gottfried Schatz Research Center: Division of Biophysics, Medical University of Graz, Graz, Austria.

Gundolf Haase (G)

Institute for Mathematics and Scientific Computing, NAWI Graz, University of Graz, Graz, Austria.
BioTechMed-Graz, Graz, Austria.

Gernot Plank (G)

Gottfried Schatz Research Center: Division of Biophysics, Medical University of Graz, Graz, Austria.
BioTechMed-Graz, Graz, Austria.

Christoph M Augustin (CM)

Gottfried Schatz Research Center: Division of Biophysics, Medical University of Graz, Graz, Austria.
Department of Mechanical Engineering, University of California, Berkeley, Berkeley, CA, United States.

Classifications MeSH