Advanced undergraduate students in Engineering and Materials Science should have a good understanding of the property of elasticity. This book will be a vital resource for the complete study of elasticity as it is the only book on the particular subject of anisotropic materials. Homogenous materials, such as rubber bands, are said to be isotropic, and the mechanics of isotropic materials are easy to study and their problems easy to solve. However, for the whole new class of materials called composites, where two or more substances are combined for greater strength or superconductive properties, solving problems of the material's anisotropic elasticity are considerably more difficult. This book, however, is the first text to deal with the problems of composite, or anisotropic materials and their elasticity.
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 Matrials 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 Formulism ; 15. Three-Dimensionsal Deformations