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Generalized midpoint integration algorithms for J 2 plasticity with linear hardening
Author(s) -
Artioli E.,
Auricchio F.,
Beirão da Veiga L.
Publication year - 2007
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.2019
Subject(s) - midpoint , pointwise , plasticity , algorithm , mathematics , boundary value problem , midpoint method , computer science , geometry , mathematical analysis , physics , thermodynamics
We consider four schemes based on generalized midpoint rule and return map algorithm for the integration of the classical J 2 plasticity model with linear hardening. The comparison, aiming to establish which is the preferable scheme among the four considered, is both theoretical and numerical. On one side, extending and completing the existing results in the literature, we investigate the four schemes from the theoretical viewpoint, addressing in particular the existence of solution, long‐term behaviour, accuracy and stability. On the other hand, we develop an extensive set of numerical tests, based on pointwise stress–strain loading histories, iso‐error maps and initial boundary‐value problems. Copyright © 2007 John Wiley & Sons, Ltd.