Anisotropic Elasticity - Theory and Applications

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Anisotropic Elasticity - Theory and Applications

Author: T. C. Ting | Size: 20.8 MB | Format: PDF | Publisher: Oxford University Press, USA | Year: 1996 | pages: 592 | ISBN: 9780195074475

Publisher Comments:
Anisotropic Elasticity offers for the first time a comprehensive survey of the analysis of anisotropic materials that can have up to twenty-one elastic constants. Focusing on the mathematically elegant and technically powerful Stroh formalism as a means to understanding the subject, the author tackles a broad range of key topics, including antiplane deformations, Green's functions, stress singularities in composite materials, elliptic inclusions, cracks, thermo-elasticity, and piezoelectric materials, among many others. Well written, theoretically rigorous, and practically oriented, the book will be welcomed by students and researchers alike.
Book News Annotation:
A presentation of two-dimensional deformations of anisotropic elastic solids employing the Stroh formalism and avoiding complicated theory and analysis. Ting (applied mechanics, U. of Illinois) demonstrates: matrix algebra, linear anistropic elastic materials, antiplane deformations, the Lekhnitskii formalism, transformation of matrices, infinite space, stress decay, steady state motion and surface waves, the generalization of the Stroh formalism, and three-dimensional deformations.
Annotation c. Book News, Inc., Portland, OR (booknews.com)
Synopsis:
Elasticity is a property of materials which returns them to their original shape after forces applied to change the shape have been removed. This advanced text explores the problems of composite or anisotropic materials and their elasticity.
Description:
Includes bibliographical references (p. [537]-562) and indexes.
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Table of Contents
1. Matrix Algebra
2. Linear Anisotropic Elastic Materials

3. Antiplane Deformations

4. The Lekhnitskii Formalism

5. The Stroh Formalism

6. The Structures and Identities of the Elasticity Matrices

7. Transformation of the Elasticity Matrices and Dual Coordinate Systems

8. Green's Functions for Infinite Space, Half-Space, and Composite Space

9. Particular Solutions, Stress Singularities, and Stress Decay

10. Anisotropic Materials With an Elliptic Boundary

11. Anisotropic Media With a Crack or a Rigid Line Inclusion

12. Steady State Motion and Surface Waves

13. Degenerate and Near Degenerate Materials

14. Generalization of the Stroh Formalism

15. Three-Dimensional Deformations

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