Shear band angles in rolled F.C.C. materials

Abstract

Rolled metals and alloys exhibit a laminar structure after moderate strains and are treated in this work as laminar composites. A model for shear band propagation at angles other than the principal resolved stress is presented which allows the shear strength of a particular texture component to be evaluated in terms including an in-plane shear stress component existing between adjacent laminae. Flow localisation in the form of a shear band occurs when a reduced number of slip systems necessary to accomplish the shear coincides with the minima in shear strength. The model is derived from the behaviour of the {111} 〈112〉 rolling deformation texture formed in α-brass which shears at 35° and is applied to another alloy system, PbCaSn, which shears at ~ 30°. Theory and experiment are in reasonable agreement. © 1987.