Table of Contents
Textures and Microstructures
Volume 7, Issue 3, Pages 187-205

On the Representation of Texture Functions of Cubic Metals in Euler Space

Department of Metallurgy and Materials Engineering, Katholieke Universiteit, Leuven, Belgium

Received 22 January 1987; Accepted 5 February 1987

Copyright © 1987 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.


Cubic-orthorhombic texture functions (e.g., of rolling textures) are conventionally represented by Euler diagrams with a range of 0° to 90° for φ1, Φ and φ2. Some drawbacks of this method are discussed. By means of inverse pole figure representations, it is explained how this range can be subdivided into three completely equivalent “unit zones”. In order to overcome the drawbacks mentioned above, without adding yet a new type of O.D.F. representation to the list of those that already exist, it is proposed to continue using the same type of representation but to consider only unit zone 3, which is much less distorted than the two other unit zones. It is recommended to show the limits between the unit zones in the Euler diagrams.