Title Texture analysis in materials science : mathematical methods / H. J. Bunge ; translated by Peter R. Morris

Published London, England : Butterworth, 1982 ©1982

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Description 1 online resource (614 pages) : illustrations Contents Front Cover; Texture Analysis in Materials Science: Mathematical Methods; Copyright Page; Preface; Preface to the English Edition; Table of Contents; List of Symbols Used; Chapter 1. Introduction; Chapter 2. Orientation of Individual Crystallites; 2.1. Various Representations of a Rotation; 2.2. Some Properties of Rotations; 2.3. Ambiguity of Rotation as a Consequence of Crystal and Specimen Symmetry; 2.4. Orientation Distance; 2.5. Orientation for Rotational Symmetry; Chapter 3. Orientation Distributions 880-01 Chapter 6. Methods not Based on the Series Expansion6.1. The Method of PERLWITZ, LÜCKE and PITSCH; 6.2. The Method of JETTER, MCHARGUE and WILLIAMS; 6.3. The Method of RUER and BARO; 6.4. The Method of IMHOF; Chapter 7. Special Distribution Functions; 7.1. Ideal Orientations; 7.2. Cone and Ring Fibre Textures; 7.3. 'Spherical' Textures; 7.4. Fibre Axes; 7.5. Line and Surface Textures (Dimension of a Texture); 7.6. Zero Regions; 7.7. Gaussian Distributions; 7.8. Polynomial Approximation (Angular Resolving Power); Chapter 8. Texture Transformation 880-01 4.11. The Role of the Centre of InversionChapter 5. Fibre Textures; 5.1. Determination of the Coefficients Clμ; 5.2. The General Axis Distribution Function A(h Φ); 5.3. Determination of the Coefficients Clμ According to the Least Squares Method; 5.4. Measures of Accuracy; 5.5. Truncation Error; 5.6. Determination of the Coefficients Clμ from Incompletely Measured Pole Figures; 5.7. Texture Index; 5.8. The Approximation Condition for Fibre Textures; 5.9. Calculation of the Function Β(Φ, β) for Various Crystal Symmetries; 5.10. The Role of the Centre of Inversion Summary Texture Analysis in Materials Science Mathematical Methods focuses on the methodologies, processes, techniques, and mathematical aids in the orientation distribution of crystallites. The manuscript first offers information on the orientation of individual crystallites and orientation distributions. Topics include properties and representations of rotations, orientation distance, and ambiguity of rotation as a consequence of crystal and specimen symmetry. The book also takes a look at expansion of orientation distribution functions in series of generalized spherical harmonics, fiber textures Bibliography Includes bibliographical references and index Notes Description based on print version record Subject Texture (Crystallography) TECHNOLOGY & ENGINEERING -- Engineering (General) TECHNOLOGY & ENGINEERING -- Reference. TECHNOLOGY & ENGINEERING / Engineering (General) TECHNOLOGY & ENGINEERING / Reference. Texture (Crystallography) Form Electronic book Author Morris, Peter R., translator ISBN 9781483278391 (e-book) 1483278395 (e-book)

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