Table of Contents
Textures and Microstructures
Volume 14 (1991)–18

A Catastrophic Yield Theory of Shear Band Formation in α-Brass

Department of Mechanical Engineering, University of Hong Kong, Pokfulam Road, Hong Kong

Copyright © 1991 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper emphasises the role that dislocation pile-ups have in promoting instability that leads to shear banding‚ and the Dillamore formalism is used to demonstrate their importance. The model is capable of being applied to both laminar structures and particle hardened alloys. By incorporating the idea of a critical length in which shear band branching can dissipate shear imposed from neighbouring grains‚ it is possible to estimate the rolling strain at which shear banding changes from being grain scale to sample scale.