An extension of assumed stress finite elements to a general hyperelastic framework

authored by
Nils Viebahn, Jörg Schröder, Peter Wriggers
Abstract

Assumed stress finite elements are known for their extraordinary good performance in the framework of linear elasticity. In this contribution we propose a mixed variational formulation of the Hellinger–Reissner type for hyperelasticity. A family of hexahedral shaped elements is considered with a classical trilinear interpolation of the displacements and different piecewise discontinuous interpolation schemes for the stresses. The performance and stability of the new elements are investigated and demonstrated by the analysis of several benchmark problems. In addition the results are compared to well known enhanced assumed strain elements.

Organisation(s)
Institute of Continuum Mechanics
External Organisation(s)
University of Duisburg-Essen
Type
Article
Journal
Advanced Modeling and Simulation in Engineering Sciences
Volume
6
Publication date
2019
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Modelling and Simulation, Engineering (miscellaneous), Computer Science Applications, Applied Mathematics
Electronic version(s)
https://doi.org/10.1186/s40323-019-0133-z (Access: Open)
 

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