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Linking micro- and macroscopic aspects of a dislocation based continuum model by investigating the dislocation double pileup

: Schmitt, S.; Schulz, K.; Dickel, D.; Gumbsch, P.


Proceedings in applied mathematics and mechanics. PAMM 13 (2013), No.1, pp.273-274
ISSN: 1617-7061
Gesellschaft für Angewandte Mathematik und Mechanik (GAMM Annual Meeting) <84, 2013, Novi Sad>
Deutsche Forschungsgemeinschaft DFG
FOR 1650; gu367/36-1
Journal Article, Conference Paper
Fraunhofer IWM ()
dislocation; continuum model; dislocation pileup; plasticity; plastic deformation

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.