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Time finite elements and error computation for (visco)plasticity with hardening or softening
Author(s) -
Larsson Fredrik,
Runesson Kenneth,
Hansbo Peter
Publication year - 2003
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.661
Subject(s) - computation , plasticity , a priori and a posteriori , finite element method , discontinuous galerkin method , hardening (computing) , mathematics , computer science , mathematical optimization , galerkin method , softening , algorithm , structural engineering , engineering , materials science , philosophy , statistics , epistemology , layer (electronics) , composite material
In this paper we investigate the possibility for, and characteristics of, reliable and efficient a posteriori error computation at the integration of the constitutive relations pertinent to (visco)plasticity with softening/hardening. The variational structure admits the use of finite elements in time, which are based on the Discontinuous Galerkin method. An important feature is the possibility to select ‘goal‐oriented’ error measures with great freedom. A key task is to identify and solve an auxiliary problem, that is the dual of the actual (primal) problem. Different strategies for computing the dual solution accurately, yet avoiding excessive cost, are investigated in the paper. In particular, we consider the characteristics at the limit of rate‐independent plasticity. Copyright © 2003 John Wiley & Sons, Ltd.