- D. Krajcinovic, Arizona State University, Tempe, AZ, USA
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.
North-Holland Series in Applied Mathematics and Mechanics
Published: April 1996
The book can be considered a configuration of the enormous effort on the study of mechanical behavior of brittle materials, that the Author has spent in the last decades....Krajcinovic analyzes the connections between the methods of statistical physics, associated to the finer structure of the material, and the possibility to indicate common basis of continuum constitutive theory in terms of self-consistent and effective field models. In a certain sense, he establishes the standard local model at least at the present state of the knowledge in the context of the internal variable approach for brittle solids....General review appendices are at the end of the book. They deal with unusual arguments in continuum mechanics as percolation theory or multifractal formalism. Their presence make the book self-sufficient to the reader....An enormous list of references (more than 700) brings to completion the book and indicates the way for further careful considerations....With this book, once more Dusan Krajcinovic proves to be a master in his research field.
- Preface. Introduction. Background and motivation. Objective. Design philosophy and criteria. Definitions of fundamental concepts. Characteristic lengths. Analytical models. Organization of the book. Statistical Models. Introduction. Failure criteria. Parallel bar model. Lattices. Strength of diluted networks. Brittle to quasi-brittle transition. Experimental results. Application of discrete models. Summary and conclusions. Micromechanical Models. Introduction. Thermodynamical considerations. Relations between average stress and strain fields. Effective properties of an elastic solid which contains a single penny shaped crack. Effective properties of a damaged elastic solid: dilute concentration limit. Effective properties of a damaged elastic solid: Elastic percolation limit. Effective properties of a damaged elastic solid: Cross-over regime. Process models. Summary of micromechanical models. Conclusions. Continuum Models. Introduction. Microcrack distribution. Damage variable. Scalar models. Rate theory of brittle deformation processes. Brittle-ductile deformation processes - A finite strain rate theory. Failure modes. Summary and Conclusions. Summary and Conclusions. Thermodynamic state. Change of thermodynamic state. Conclusions. Appendices. Referenced Literature. Author's Index. Subject Index.