Damage Mechanics (North-Holland Series in Applied Mathematics and Mechanics)

This book provides the first truly comprehensive study of damage mechanics. All concepts are carefully identified and defined in micro- and macroscopic scales. In terms of the methods and observation scales, the main part of the book is divided into three chapters. These chapters consider the stochastic models applied to atomistic scale, micromechanical models (for arbitary concentrations of defects) on microscopic scale and continuum models on the macroscopic scale. It is intended for people who are doing or planning to do research in the mechanics and material science aspects of brittle deformation of solids with heterogeneous microstructure. Content: Preface Pages v-vi Chapter 1 Introduction Original Research Article Pages 1-32 Chapter 2 Statistical models Original Research Article Pages 33-220 Chapter 3 Micromechanical models Original Research Article Pages 221-413 Chapter 4 Continuum models Original Research Article Pages 415-602 Chapter 5 Summary and conclusions Original Research Article Pages 603-616 Appendix A-Percolation theory Pages 617-631 Appendix B-Percolation threshold Pages 632-650 Appendix C-Multifractal formalism Pages 651-664 Appendix D-Self-similarity and scaling laws Pages 665-673 Appendix E-Hooke's law and material symmetries Pages 674-679 Appendix F—Molecular dynamics Pages 680-686 Referenced Literature Pages 687-737 Author's index Pages 739-751 Subject index Pages 753-761 This work looks at the discipline of damage mechanics. It is structured in a manner which emphasizes the stochastic and microscopic aspects of the problems which must be addressed to be able to formulate a rational continuum model and set the conditions in which such a model is possible.