A qualitative 1-dimensional model for dislocation structure evolution during cycling was treated as a self-organization process. The main mechanisms of dislocation structure development were the generation of dipolar loops, their sweeping - by gliding dislocations - to high dislocation-density regions, and their annihilation. The model was described by a system of 3 equations. These were the balance law for the density of dipolar loops, the local yield condition which governed the motion of glide dislocations, and the rule which controlled the local stress. The results of numerical solution of this system reproduced the formation of a dislocation vein structure, its disintegration and the formation of dipolar walls; in agreement with electron microscopic observations.

A Model for the Formation and Disintegration of the Vein Dislocation Structure. M.Saxlová, J.Kratochvíl, J.Zatloukal: Materials Science and Engineering A, 1997, 234-236, 205-8