A new mixed finite element based on different approximations of the minors of deformation tensors

verfasst von
Jörg Schröder, Peter Wriggers, Daniel Balzani
Abstract

Finite element formulations for arbitrary hyperelastic strain energy functions that are characterized by a locking-free behavior for incompressible materials, a good bending performance and accurate solutions for coarse meshes need still attention. Therefore, the main goal of this contribution is to provide an improved mixed finite element for quasi-incompressible finite elasticity. Based on the knowledge that the minors of the deformation gradient play a major role for the transformation of infinitesimal line-, area- and volume elements, as well as in the formulation of polyconvex strain energy functions a mixed finite element with different interpolation orders of the terms related to the minors is developed. Due to the formulation it is possible to condensate the mixed element formulation at element level to a pure displacement form. Examples show the performance and robustness of the element.

Organisationseinheit(en)
Institut für Kontinuumsmechanik
Externe Organisation(en)
Universität Duisburg-Essen
Typ
Artikel
Journal
Computer Methods in Applied Mechanics and Engineering
Band
200
Seiten
3583-3600
Anzahl der Seiten
18
ISSN
0045-7825
Publikationsdatum
06.09.2011
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Numerische Mechanik, Werkstoffmechanik, Maschinenbau, Physik und Astronomie (insg.), Angewandte Informatik
Elektronische Version(en)
https://doi.org/10.1016/j.cma.2011.08.009 (Zugang: Unbekannt)
 

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