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Issue Eur. Phys. J. Special Topics
Volume 177, October 2009
Advances in the Multi-Scale Computational Design of Condensed Matter Interfaces : From the Atomistic to the Continuum Scale
Page(s) 177 - 191
DOI 10.1140/epjst/e2009-01174-7
Published online 23 October 2009

Eur. Phys. J. Special Topics 177, 177-191 (2009)
DOI: 10.1140/epjst/e2009-01174-7

A parametric simulation method for discrete dislocation dynamics

M. Beneš1, J. Kratochvíl2, J. Křištan3, V. Minárik1 and P. Pauš3

1  Czech Technical University Prague, Faculty of Nuclear Sciences and Physical Engineering, Czech Republic
2  Czech Technical University Prague, Faculty of Civil Engineering, Czech Republic
3  Charles University, Faculty of Mathematics and Physics, Czech Republic

michal.benes@fjfi.cvut.cz
kratochvil@fsv.cvut.cz
kristan@karlin.mff.cuni.cz
vojtech.minarik@fjfi.cvut.cz
petr.paus@fjfi.cvut.cz

Abstract
A new computer simulation method employed in discrete dislocation dynamics is presented. The article summarizes results of an application of the method to elementary interactions among glide dislocations and dipolar dislocation loops. The glide dislocations are represented by parametrically described curves moving in glide planes whereas the dipolar loops are treated as rigid objects. All mutual force interactions are considered in the models. As a consequence, the computational complexity rapidly increases with the number of objects considered. This difficulty is treated by advanced computational techniques such as suitable accurate numerical methods and parallel implementation of the algorithms. Therefore the method is able to simulate particular phenomena of dislocation dynamics which occur in crystalline solids deformed by single slip: generation of glide dislocations from the Frank-Read source, interaction of glide dislocations with obstacles, their encounters in channels of the bands, sweeping of dipolar loops by glide dislocations and a loop clustering.



© EDP Sciences, Springer-Verlag 2009


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