Crystallographic Texture and Group Representations

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Synopsis

This book starts with an introduction to quantitative texture analysis (QTA), which adopts conventions (active rotations, definition of Euler angles, Wigner D-functions) that conform to those of the present-day mathematics and physics literature. Basic concepts (e.g., orientation; orientation distribution function (ODF), orientation density function, and their relationship) are made precise through their mathematical definition. Parts II and III delve deeper into the mathematical foundations of QTA, where the important role played by group representations is emphasized. Part II includes one chapter on generalized QTA based on the orthogonal group, and Part III one on tensorial Fourier expansion of the ODF and tensorial texture coefficients.  This work will appeal to students and practitioners who appreciate a precise presentation of QTA through a unifying mathematical language, and to researchers who are interested in applications of group representations to texture analysis. Previously published in the Journal of Elasticity, Volume 149, issues 1-2, April, 2022

Book details

Edition:
1st ed. 2023
Author:
Chi-Sing Man
ISBN:
9789402421583
Related ISBNs:
9789402421576
Publisher:
Springer Netherlands
Pages:
N/A
Reading age:
Not specified
Includes images:
No
Date of addition:
2023-02-14
Usage restrictions:
Copyright
Copyright date:
2023
Copyright by:
N/A 
Adult content:
No
Language:
English
Categories:
Mathematics and Statistics, Nonfiction, Technology