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On the implementation of rate‐independent gradient‐enhanced crystal plasticity theory
Author(s) -
Fohrmeister Volker,
Klinge Sandra,
Mosler Jörn
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900461
Subject(s) - work (physics) , nonlinear system , plasticity , crystal plasticity , mathematics , set (abstract data type) , energy minimization , mathematical optimization , slip (aerodynamics) , minification , computer science , physics , thermodynamics , quantum mechanics , programming language
In the present work, classical local crystal plasticity is reformulated using incremental energy minimization. The resulting constrained optimization problem is efficiently solved by a nonlinear complementary problem, which additionally solves the problem of determination of the set of active slip systems. The model is extended to a nonlocal, gradient‐enhanced, formulation by employing and adapting the micromorphic approach. By doing so, the implementation of the gradient‐enhanced model is almost identical to that of the original local one, with the exception of additional balance equations.