Table of Contents
Textures and Microstructures
Volume 11, Issue 1, Pages 41-56

Estimation of 4th and 6th Order ODF Coefficients From Elastic Properties in Cold Rolled Steel Sheets

Department of Mining and Metallurgical Engineering, McGill University, 3450 University St., Montreal, Québec H3A 2A7, Canada

Received 13 February 1989

Copyright © 1989 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.


Generally only the 4th order ODF coefficients are deduced from the observed elastic anisotropy of textured polycrystalline materials with cubic/orthorhombic symmetry. In this study, a method is described for the prediction of the 4th and 6th order ODF coefficients from the elastic properties of cold rolled and annealed steel sheets of 5 different types. In order to link these properties with the texture, the elastic energy method of Bunge (1974) is employed. By estimating the volume fractions of the principal preferred orientations and their gaussian spreads, ODF coefficients of the 4th (C411, C412 and C413) and 6th (C611, C612 and C614) orders can be successfully obtained. As a result, the planar r-value distribution can be predicted more accurately than when only the 4th order coefficients are employed.