Table of Contents
Textures and Microstructures
Volume 6 (1986), Issue 3, Pages 181-200

The Development of Deformation Textures Described by an Orientation Flow Field

1lnstitut für Metallkunde und Metallphysik der TU Clausthal, Germany
2Laboratoire de Métallurgie Structurale, Université de Metz, France

Received 30 November 1985

Copyright © 1986 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.


The mean orientation change δg of crystals of the orientation g in a polycrystalline material due to plastic deformation can be described (under certain assumptions) by an orientation flow field δg(g) = ·ν(g) where is the absolute value of a small deformation step. The flow field ν(g) is a vector field in the orientation space g = {φ1, Φ, φ2} which must obey a continuity equation. The flow field describes the texture changes due to plastic deformation. The components of the flow vector, as a function of the orientation g, can be represented in terms of a series expansion which must obey certain symmetry conditions. As an example, the flow field calculated according to the Taylor theory for {111}110 glide was calculated in 5-degree steps in the orientation space.