p‐version finite elements and finite cells for finite strain elastoplastic problems
- 25 October 2016
- journal article
- research article
- Published by Wiley in Proceedings in Applied Mathematics and Mechanics
- Vol. 16 (1) , 243-244
Abstract
In this paper, the p‐version finite element method and its fictitious domain extension, the finite cell method, are extended to the finite strain J2 plasticity. High‐order shape functions are used for the finite element approximation of volume‐preserving plastic dominated deformations. The accuracy and efficiency of p‐version elements and cells in the finite plastic strain range are evaluated by the computation of two benchmark problems. It is shown that they provide locking free behavior and simplified meshing. These results are verified in comparison with the results of h‐version elements in F‐bar formulation.Keywords
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