Anisotropic Elasticity Theory and Applications [Hardcover]

Anisotropic Elasticityoffers 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 powerfulStroh formalismas 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.

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