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Klappentext 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. Zusammenfassung 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.
List 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 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
