The article describes a model of interaction dynamics between a dislocation and dipolar dislocation loops. The interaction is essential for dipolar dislocation structure formation in early stages of a hardening process. For the description of the dislocation curve a direct parametric approach is employed whereas the loops are treated as rigid objects. The model equations are solved approximately by means of the finite-volume method. Physically interesting phenomena can be captured by the model provided the simulation covers long time periods. The strong interaction between the dislocation and the loops causes growing nonuniformity of distribution of discrete nodes along the dislocation curve. This effect is balanced by two proposed types of tangential redistribution of the discrete nodes. The redistribution is tested in simulations of loop clustering.
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.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.