A dislocation avalanche theory of shear banding

While there are extensive studies of shear band formation based on Dillamore's equation, most of the effort has concentrated on the geometrical softening factor. Recently, a yield type explanation has been proposed in some specific situations such as 2-stage cross rolling in which geometrical softening can have only minor effects. This yield theory involving dislocation pile-ups against moderately strong barriers is further developed here to explain shear band formation in certain materials which form fine twin lamellae during conventional rolling and it is possible that a similar mechanism applies in some precipitate hardened alloys. © 1994.