Statistical approach to dislocation dynamics: From dislocation correlations to a multiple-slip continuum theory of plasticity

Surachate Limkumnerd*, Erik Van der Giessen

*Bijbehorende auteur voor dit werk

OnderzoeksoutputAcademicpeer review

26 Citaten (Scopus)
299 Downloads (Pure)


Due to recent successes of a statistical-based nonlocal continuum crystal plasticity theory for single-glide in explaining various aspects such as dislocation patterning and size-dependent plasticity, several attempts have been made to extend the theory to describe crystals with multiple-slip systems using ad hoc assumptions. We present here a mesoscale continuum theory of plasticity for multiple-slip systems of parallel edge dislocations. We begin by constructing the Bogolyubov-Bom-Green-Yvon-Kirkwood integral equations relating different orders of dislocation correlation functions in a grand canonical ensemble. Approximate pair correlation functions are obtained for single-slip systems with two types of dislocations and, subsequently, for general multiple-slip systems of both charges. The effect of the correlations manifests itself in the form of an entropic force in addition to the external stress and the self-consistent internal stress. Comparisons with a previous multiple-slip theory based on phenomenological considerations shall be discussed.

Originele taal-2English
Aantal pagina's12
TijdschriftPhysical Review. B: Condensed Matter and Materials Physics
Nummer van het tijdschrift18
StatusPublished - mei-2008

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