Table of Contents
Textures and Microstructures
Volume 13 (1990), Issue 1, Pages 31-40

A Theoretical Analysis of Equibiaxial Deformation Texture Under Non-prescribed Strain Path

Department of Manufacturing Engineering, Hong Kong Polytechnic, Hung Hom, Hong Kong

Received 17 April 1990

Copyright © 1990 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.


A model is presented to calculate the rotation path of crystals under equibiaxial tension when the strain ratio is fixed (prescribed strain path) or when the strain ratio is allowed to adjust itself according to the external constraint and the current state of the plastic anisotropy of the material (nonprescribed strain path). It is found that the stability of grain orientation is related to the curvature of the strain path. There is a difference in the predicted equibiaxial deformation texture for the two types of strain paths. Grain orientations which are unstable under a linear strain path may become stable under a non-linear or varying strain path.