Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1448063 | Acta Materialia | 2009 | 12 Pages |
Abstract
A general formulation for the disorientation angle distribution function is derived. The derivation employs the hyperspherical harmonic expansion for orientation distributions, and an explicit solution is presented for materials with cubic crystal symmetry and arbitrary textures. The result provides a significant generalization to the well-known Mackenzie distribution function [Mackenzie JK. Biometrika 1958;45:229] for materials with random crystal orientations. This derivation also demonstrates that the relatively new hyperspherical harmonic expansion provides access to results that have been inaccessible with the more traditional “generalized spherical harmonic” expansion that is in current use throughout the field.
Related Topics
Physical Sciences and Engineering
Materials Science
Ceramics and Composites
Authors
J.K. Mason, C.A. Schuh,