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An analysis of a new class of integration algorithms for elastoplastic constitutive relations
Author(s) -
Ortiz M.,
Simo J. C.
Publication year - 1986
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.1620230303
Subject(s) - infinitesimal , constitutive equation , nonlinear system , mathematics , algorithm , plasticity , class (philosophy) , hardening (computing) , finite element method , computer science , mathematical analysis , structural engineering , engineering , artificial intelligence , materials science , physics , layer (electronics) , quantum mechanics , composite material
Abstract An accuracy analysis of a new class of integration algorithms for finite deformation elastoplastic constitutive relations recently proposed by the authors, is carried out in this paper. For simplicity, attention is confined to infinitesimal deformations. The integration rules under consideration fall within the category of return mapping algorithms and follow in a straightforward manner from the theory of operator splitting applied to elastoplastic constitutive relations. General rate‐independent and rate‐dependent behaviour, with plastic hardening or softening, associated or non‐associated flow rules and nonlinear elastic response can be efficiently treated within the present framework. Isoerror maps are presented which demonstrate the good accuracy properties of the algorithm even for strain increments much larger than the characteristic strains at yielding.