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Incompatibility Induced Nonlocal Crystal Plasticity
Author(s) -
Becker Martin,
Miehe Christian
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510106
Subject(s) - plasticity , computation , smoothing , extension (predicate logic) , operator (biology) , statistical physics , crystal plasticity , boundary (topology) , boundary value problem , mathematics , mathematical analysis , mechanics , physics , materials science , classical mechanics , computer science , chemistry , thermodynamics , algorithm , biochemistry , statistics , repressor , transcription factor , gene , programming language
Motivated by the fact that locally inhomogeneous elastic or plastic deformations may result in incompatibilities of the fictitious intermediate configuration a strain gradient crystal plasticity model is developed. Thereby incompatibilities can be accounted for and scale dependent material behavior, as also observed experimentally, is predictable. A nonlocal extension of existing local formulations is proposed which does not require additional boundary conditions and thus maintains the classical BVP structure. On the numerical side key developments are an extended FE‐formulation for rate‐(in)dependent strain gradient plasticity and a local FE‐formulation which bases the gradient computation on an operator split combined with a smoothing algorithm. Comparative numerical studies for classical examples proove the superior efficiency of the second approach. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)