A parametric simulation method for discrete dislocation dynamics
Czech Technical University Prague, Faculty of Nuclear Sciences and Physical Engineering, 166 36 Prague, Czech Republic
2 Czech Technical University Prague, Faculty of Civil Engineering, 166 36 Prague, Czech Republic
3 Charles University, Faculty of Mathematics and Physics, 166 36 Prague, Czech Republic
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