Approximation of incompressible large deformation elastic problems
some unresolved issues
- verfasst von
- Ferdinando Auricchio, Lourenco Beirao Da Veiga, Carlo Lovadina, Alessandro Reali, Robert L. Taylor, Peter Wriggers
- Abstract
Several finite element methods for large deformation elastic problems in the nearly incompressible and purely incompressible regimes are considered. In particular, the method ability to accurately capture critical loads for the possible occurrence of bifurcation and limit points, is investigated. By means of a couple of 2D model problems involving a very simple neo-Hookean constitutive law, it is shown that within the framework of displacement/pressure mixed elements, even schemes that are inf-sup stable for linear elasticity may exhibit problems when used in the finite deformation regime. The roots of such troubles are identi-fied, but a general strategy to cure them is still missing. Furthermore, a comparison with displacement-based elements, especially of high order, is presented.
- Organisationseinheit(en)
-
Institut für Kontinuumsmechanik
- Externe Organisation(en)
-
Università degli Studi di Milano-Bicocca (UNIMIB)
University of California at Berkeley
Università degli Studi di Pavia
- Typ
- Artikel
- Journal
- Computational mechanics
- Band
- 52
- Seiten
- 1153-1167
- Anzahl der Seiten
- 15
- ISSN
- 0178-7675
- Publikationsdatum
- 18.05.2013
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Numerische Mechanik, Meerestechnik, Maschinenbau, Theoretische Informatik und Mathematik, Computational Mathematics, Angewandte Mathematik
- Elektronische Version(en)
-
https://doi.org/10.1007/s00466-013-0869-0 (Zugang:
Unbekannt)
