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On convergence properties of variational constitutive updates for elasto‐visco‐plasticity
Author(s) -
Brassart Laurence,
Stainier Laurent
Publication year - 2012
Publication title -
gamm‐mitteilungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.239
H-Index - 18
eISSN - 1522-2608
pISSN - 0936-7195
DOI - 10.1002/gamm.201210003
Subject(s) - dependency (uml) , convergence (economics) , constitutive equation , plasticity , mathematics , hardening (computing) , rate of convergence , mathematical optimization , computer science , materials science , physics , artificial intelligence , thermodynamics , finite element method , economics , computer network , channel (broadcasting) , layer (electronics) , composite material , economic growth
This paper deals with J 2 elasto‐visco‐plasticity and analyzes in details a variational formulation of associated constitutive updates. The variational formulation is briefly presented and compared with the traditional radial return algorithm. Differences are highlighted in the case of combined hardening and rate‐dependency models. In that case, the variational formulation introduces an algorithmic parameter, which effect is analyzed on precision and convergence behavior. A practical rule is proposed for choosing an optimal value for this parameter (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)