Overview
- Editors:
-
-
J. C. Charmet
-
Ecole Supérieure de Physique et Chimie Industrielles de Paris, Paris, France
-
S. Roux
-
Ecole Supérieure de Physique et Chimie Industrielles de Paris, Paris, France
-
E. Guyon
-
Université de Paris-Sud, Orsay, France
Access this book
Other ways to access
Table of contents (18 chapters)
-
-
Tools
-
-
-
- Stéphane Roux, Alex Hansen
Pages 17-30
-
-
Diffusion-Limited Aggregation Model
-
-
-
- Jens Feder, Finn Boger, Liv Furuberg, Einar Hinrichsen, Torstein Jøssang, Knut Jørgen Måløy et al.
Pages 63-81
-
-
- H. Van Damme, M. Ben Ohoud
Pages 105-116
-
Statistical Fracture Models
-
Front Matter
Pages 117-117
-
- Paul Meakin, Gang Li, Leonard M. Sander, Hong Yan, Francisco Guinea, Oscar Pla et al.
Pages 119-140
-
- Phillip M. Duxbury, Yongsheng Li
Pages 141-147
-
- H. J. Herrmann, L. de Arcangelis
Pages 149-163
-
Rheology and Fracture
-
Front Matter
Pages 165-165
-
-
-
-
-
Materials and Applications
-
Front Matter
Pages 253-253
About this book
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 cracks. Therefore, in most realistic cases, a good description of fracture mechanics should include the effect of disorder. Recently this need has motivated work in this direction starting from the usual description of fracture mechanics. Parallel with this first trend, statistical physics underwent a very important development in the description of disordered systems. In particular, let us mention the emergence of some "new" concepts (such as fractals, scaling laws, finite size effects, and so on) in this field. However, many models considered were rather simple and well adapted to theoretical or numerical introduction into a complex body of problems. An example of this can be found in percolation theory. This area is now rather well understood and accurately described.
Editors and Affiliations
-
Ecole Supérieure de Physique et Chimie Industrielles de Paris, Paris, France
J. C. Charmet,
S. Roux
-
Université de Paris-Sud, Orsay, France
E. Guyon
