Low-order locking-free mixed finite element formulation with approximation of the minors of the deformation gradient
- verfasst von
- Alex Kraus, Peter Wriggers, Nils Viebahn, Jörg Schröder
- Abstract
In this work, a low-order mixed finite element formulation for three-dimensional nonlinear elastic problems is presented. The main goal of this paper is to develop a robust and efficient element formulation to overcome locking arising in the cases of hyperelastic bending, quasi-incompressibility, and anisotropy. For this, a low-order discretisation of a five-field Hu-Washizu functional written in terms of the minors of the Cauchy-Green tensor is used. For the tested boundary value problems, the proposed element formulation is more accurate and computational efficient than comparable element formulations.
- Organisationseinheit(en)
-
Institut für Kontinuumsmechanik
- Externe Organisation(en)
-
Universität Duisburg-Essen
- Typ
- Artikel
- Journal
- International Journal for Numerical Methods in Engineering
- Band
- 120
- Seiten
- 1011-1026
- Anzahl der Seiten
- 16
- ISSN
- 0029-5981
- Publikationsdatum
- 10.07.2019
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Numerische Mathematik, Allgemeiner Maschinenbau, Angewandte Mathematik
- Elektronische Version(en)
-
https://doi.org/10.1002/nme.6168 (Zugang:
Geschlossen)
