Introduction to Elasticity Theory for Crystal Defects

Self-sufficient and user-friendly, this book provides a complete introduction to the anisotropic elasticity theory necessary to model a wide range of crystal defects. Assuming little prior knowledge of the subject, the reader is first walked through the required basic mathematical techniques and methods. This is followed by treatments of point, line, planar and volume type defects such as vacancies, dislocations, grain boundaries, inhomogeneities and inclusions. Included are analyses of their elastic fields, interactions with imposed stresses and image stresses, and interactions with other defects, all employing the basic methods introduced earlier. This step by step approach, aided by numerous exercises with solutions provided, strengthens the readers understanding of the principles involved, extending it well beyond the immediate scope of the book. As the first comprehensive review of anisotropic elasticity theory for crystal defects, this text is ideal for both graduate students and professional researchers.

Spis treści:
1. Introduction
2. Basic linear elasticity
3. Methods
4. Greens functions for unit point force
5. Interactions between defects and stress
6. Inclusions in infinite homogeneous regions
7. Interactions between inclusions and imposed stresses
8. Inclusions in finite homogeneous regions – image stresses
9. Inhomogeneities
10. Point defects in infinite homogeneous regions
11. Interactions between point defects and stresses
12. Dislocations in infinite homogeneous regions
13. Interactions between dislocations and stresses
14. Interfaces
15. Interactions between interfaces and stresses
16. Interactions between defects
Appendices
Index.