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Modeling and numerical simulation of multiscale behavior in polycrystals via extended crystal plasticity
Author(s) -
Klusemann Benjamin,
Bargmann Swantje,
Svendsen Bob
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110255
Subject(s) - dissipation , plasticity , statistical physics , kinetic energy , work (physics) , dislocation , crystal plasticity , physics , classical mechanics , materials science , mechanics , thermodynamics , condensed matter physics
The purpose of this work is to exploit the algorithmic formulation of models for multiscale inelastic materials whose behavior is influenced by the evolution of inelastic microstructure and the corresponding material or internal lengthscales. The models for extended crystal plasticity are based on the formulation of rate potentials whose form is determined by (i) energetic processes via the free energy, (ii) kinetic processes via the dissipation potential, and (iii) the form of the evolution relations for the internal‐variable‐like quantities upon which the free energy and dissipation potential depend. Examples for these latter quantities are the inelastic local deformation or dislocation densities as GNDs. Different algorithmic implementations are discussed, namely the algorithmic variational approach and the dual mixed approach. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)