The model of formation and disintegration of vein dislocation structure

A qualitative, one dimensional model of dislocation structure evolution during cycling is treated as a process of self-organization. The main mechanisms of the dislocation structure development are a generation of dipolar loops, their sweeping by glide dislocations to high dislocation density regions and their annihilation. The model is described by the system of three equations: The balance law for the density of dipolar loops, the local yield condition governing the motion of glide dislocations and the equation controlling the local stress. The results of the numerical solution of the system simulate the formation of the dislocation vein structure, its disintegration and formation of dipolar walls in agreement with the available electron microscopic observations.