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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.
Fracture, and particularly brittle fracture, is a good example of an instability. For a homogeneous solid, subjected to a uniform stress field, a crack may appear anywhere in the structure once the threshold stress is reached. However, once a crack has been nucleated in some place, further damage in the solid will in most cases propagate from the initial crack, and not somewhere else in the solid. In this sense fracture is an unstable process. This property makes the process extremely sensitive to any heterogeneity present in the medium, which selects the location of the first crack nucleated. In particular, fracture appears to be very sensitive to disorder, which can favor or impede local c...