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Variational approach for strain‐driven, incremental homogenization of inelastic solids
Author(s) -
Dimitrov S.,
Schnack E.
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510141
Subject(s) - homogenization (climate) , quasiconvex function , discretization , finite element method , plasticity , mathematics , physics , mathematical analysis , mechanics , materials science , statistical physics , thermodynamics , geometry , biodiversity , ecology , convex set , convex optimization , regular polygon , biology
This study is devoted to finite element modeling of phenomenological rate independent elastoplasticity coupled to damage. The new aspect concerns the treatment of both types of inelasticities. Consistent with physical observations these are interpreted as two pseudophases characterized by specific incremental quasihyperelastic potentials. On this basis, the governing macroscopic energetics is derived as a quasiconvex potential for macro‐stresses and corresponding variational formulation is discretized and solved for two limit cases: pure plastic response and pure scalar damage response. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)