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Linking Micro‐ and Macroscopic Aspects of a Dislocation Based Continuum Model by Investigating the Dislocation Double Pileup
Author(s) -
Schmitt Severin,
Schulz Katrin,
Dickel Doyl,
Gumbsch Peter
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310132
Subject(s) - dislocation , stress field , field (mathematics) , statistical physics , materials science , classical mechanics , physics , condensed matter physics , mathematics , thermodynamics , finite element method , pure mathematics
In this contribution we discuss the problem of a dislocation double pileup at impenetrable boundaries which serves as a benchmark test to examine the continuum dislocation dynamics (CDD). We enhance a formulation for a numerical implementation and the mean‐field theory to account for the ‘long‐range’ stress field due to inhomogeneous plastic deformations by a suitable correction term. This allows us to handle the motion of dislocation densities at impenetrable boundaries and study the influence of dislocation interactions on a scale much smaller than the scale of the proposed mean‐field stress. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)