A primal‐dual formulation for infinitesimal nonlocal plasticity with hardening | Zendy

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A primal‐dual formulation for infinitesimal nonlocal plasticity with hardening

Author(s) -

Wieners Christian

Publication year - 2011

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.201110007

Subject(s) - infinitesimal , monotone polygon , plasticity , hardening (computing) , isotropy , mathematics , nonlinear system , dual (grammatical number) , mathematical analysis , geometry , physics , materials science , thermodynamics , art , literature , layer (electronics) , quantum mechanics , composite material

We show that the nonlocal model for infinitesimal elasto‐plasticity with nonlinear isotropic hardening proposed by Gurtin and Reddy in Continuum Mech. Thermodyn. 21 (2009) can be written as a model of monotone‐gradient type, and we introduce a discrete primal‐dual formulation for the corresponding incremental problem which allows to use standard return mapping algorithms (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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