A detailed analysis was made, of the glide of interacting dislocations, by using a computational model. The model was based upon numerical solution of the evolution equation providing the arc-length parametric description of the dislocations. The governing equation for the dislocation parametrization incorporated the line tension, and interaction with other dislocations, as well as the external forces. Compared with previous published approaches, the numerical model was derived in a mathematically rigorous way which supported long-term stable behaviour and permitted further generalization. The approach was demonstrated by evaluating dislocation bow-out from the channel walls in a persistent slip band, and their mutual interactions. Two different situations were considered. One was stress-controlled, where the stress in the channel introduced by the boundary conditions was assumed to be uniform/ The other was strain-controlled, where the sum of the elastic and plastic strains was uniform.

Numerical Simulation of Interacting Dislocations Glide in a Channel of a Persistent Slip Band. J.Křištán, J.Kratochvíl, V.Minárik, M.Beneš: Modelling and Simulation in Materials Science and Engineering, 2009, 17[4], 045009