A Mathematical Analysis of Dislocation Slips during Cold-rolling Related to Recrystallization Texture Development in Steel Sheet

Abstract

A twisted region was thought to be an origin of recrystallized grains having a preferred orientation. Stable crystal orientations of the twisted region were mathematically analyzed by assuming that the twisted region was formed by blocking of a dislocation slip system during cold-rolling. In the mathematical treatment, <111> pencil glide system was assumed and cold-rolling deformation was characterized by a plane strain (-dε, dε, 0) model.
There are two stable crystal orientation families of twisted region; (1) crystal orientation around near (R.D.→N.D.)-60°//<110> axis from {11, 11, 8}<4, 4, 11> to {211}<011>, (2) crystal orientation around near (R.D.→T.D.) -1.5°//<110> axis from {001}, <110> 11.5° to the orientation rotated by 35 degrees. These crystal orientations of twisted region coincide with those of experimentally obtained recrystallization textures.