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p ‐version finite elements and finite cells for finite strain elastoplastic problems
Author(s) -
Taghipour Aliakbar,
Parvizian Jamshid,
Heinze Stephan,
Düster Alexander
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610110
Subject(s) - finite element method , plasticity , computation , finite volume method , finite strain theory , benchmark (surveying) , bar (unit) , strain (injury) , mathematics , mathematical analysis , structural engineering , mechanics , materials science , physics , engineering , algorithm , composite material , geology , medicine , geodesy , meteorology
In this paper, the p ‐version finite element method and its fictitious domain extension, the finite cell method, are extended to the finite strain J 2 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. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)