A theory of deformation banding in cold rolling

The formation of deformation banding has been studied theoretically. The formulated condition of banding predicts that the number of bands per grain is proportional to the square root of grain size and the number of bands in a banded grain remains constant as strain increases. It is also predicted that banding can occur as early as plastic deformation begins. Another implication of the analysis is that deformation banding is more prominent when dynamic recovery occurs. These results agree well with the existing experimental data. © 1993.