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Integration algorithm for J 2 elastoplasticity under arbitrary mixed stress–strain control
Author(s) -
RittoCorrêa M.,
Camotim D.
Publication year - 2001
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 - 10.1002/1097-0207(20010220)50:5<1213::aid-nme74>3.0.co;2-a
Subject(s) - stress (linguistics) , stress–strain curve , algorithm , computer science , finite element method , mathematics , structural engineering , engineering , philosophy , linguistics
This paper addresses the implementation of an integration algorithm for J 2 elastoplasticity under arbitrary mixed stress–strain control. The proposed algorithm relies on the solution of a non‐linear scalar equation and generalizes an integration method already available for strain‐driven plane stress problems. Closed‐form analytical expressions are presented for both the continuous and the consistent forms of the mixed control tangent operator. The efficiency and accuracy of the application of the proposed algorithm to several mixed stress–strain control cases (including plane stress and beam theory problems) are discussed. Copyright © 2001 John Wiley & Sons, Ltd.