Numerical simulation of interacting dislocations glide in a channel of a persistent slip band

The aim of the paper is to analyze in detail the glide of interacting dislocations by means of a computational model. The model is based on the numerical solution of the evolution equation providing the arc-length parametric description of the dislocations. The governing equation for the dislocation parametrizations incorporates the line tension, the interaction with other dislocations as well as the external forces. In comparison with previously published approaches, the numerical model is derived in a mathematically rigorous way supporting long-term stable behavior and allowing further generalization. The described approach is demonstrated in evaluation of a dislocation bow-out from the channel walls in a persistent slip band and of their mutual interactions. Two different situations are considered: (i) stress-control where the stress in the channel induced by boundary conditions is assumed to be uniform, (ii) strain-control where the sum of elastic and plastic strains is uniform