Table of Contents
Texture of Crystalline Solids
Volume 3, Issue 2, Pages 127-148

Generalization of the Orientation Distribution Function: Determination of Crystalline Orientations in any Section of the Specimen

Center for Research in Metallurgy (C.R.M.), Liège, Belgium

Received 14 December 1978

Copyright © 1979 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 generalization of the O.D.F. representation has been proposed in such a way that its calculation is possible in any axes system of a material provided that is known in one particular system. Using an appropriate rotation matrix T(a,b,c) it is possible to compute crystallographic orientations (hk) [uvw] in any macroscopic plane of the material. This calculation method leads also to a direction distribution function Fπ[u1v1w1](ψ,α) which gives the angular distribution of the crystallographic direction [u1v1w1] in a macroscopic plane of the material.

This analysis has been applied to the representation of texture and of slip directions in planes at 45 degrees from the directions RD, ND and TD of a mild steel deformed in equi-biaxial expansion.