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Two model formulations for gradient crystal plasticity
Author(s) -
Klusemann Benjamin,
Bargmann Swantje,
Svendsen Bob
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210388
Subject(s) - dislocation , deformation (meteorology) , work (physics) , displacement (psychology) , plasticity , displacement field , materials science , field (mathematics) , crystal plasticity , statistical physics , mechanics , physics , condensed matter physics , mathematics , finite element method , thermodynamics , pure mathematics , composite material , psychology , psychotherapist
The purpose of the current work is the formulation of two different (algorithmic) models for multiscale inelastic materials whose behavior is influenced by the evolution of inelastic microstructure and the corresponding material or internal lengthscales. The two models are compared with each other, depending in particular on how the inelastic deformation and dislocation density are modeled. The work is a first extension of the investigation in Klusemann et al. [1] to two‐dimensions. In the first model, the corresponding displacement and inelastic local deformation are modeled as global via weak field relations, and the dislocation density is a local quantity and solved for via a strong field relation. In the second model, displacement and dislocation density are modeled as global, and the inelastic deformation as local, in this sense. The influence for the modeling results is discussed. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)