Texture, Stress, and Microstructure

Texture, Stress, and Microstructure / 1989 / Article

Open Access

Volume 10 |Article ID 834209 | https://doi.org/10.1155/TSM.10.167

R. Becker, S. Panchanadeeswaran, "Crystal Rotations Represented as Rodrigues Vectors", Texture, Stress, and Microstructure, vol. 10, Article ID 834209, 28 pages, 1989. https://doi.org/10.1155/TSM.10.167

Crystal Rotations Represented as Rodrigues Vectors

Received16 May 1988

Abstract

Rodrigues vectors are explored as a means of representing crystal orientation distributions. Relationships between the Rodrigues vectors and several more commonly utilized representations of rotations are presented. The restrictions which cubic material symmetry imposes on the Rodrigues space are examined and relationships for special equivalent configurations are developed. Common crystal orientation distributions are presented as Rodrigues vectors and compared to the more standard representations in terms of pole figures and Euler angles. Applications of the Rodrigues space for illustrating misorientations between neighboring grains are also discussed.

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.


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