Table of Contents
Textures and Microstructures
Volume 26 (1996)–27

A Sixth Order Inverse Potential Function for Incorporation of Crystallographic Texture Into Predictions of Properties of Aluminium Sheet

Alcan International Limited, Kingston Research and Development Center, P.O. Box 8400, Ontario, Kingston, Canada

Received 28 December 1995

Copyright © 1996 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.


In order to simulate adequately the formability of sheet, it is necessary to generate a yield criterion that takes into account the anisotropy of the crystallographic texture. This yield function must be in a form that can be used easily in finite element analysis. In addition, the formulation should allow the possibility to update the yield surface during simulation to take into account the texture evolution. This work investigates the use of a sixth-order strain rate potential that, when differentiated with respect to the strain rate, gives the components of stress. A method is given to solve the non-convexity problems that can arise when the proposed analytical sixth-order function is used. Examples are given for one cold rolled and one annealed aluminium sheet.