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Disorder and Fracture

  • J. C. Charmet
  • S. Roux
  • E. Guyon

Part of the NATO ASI Series book series (NSSB, volume 204)

Table of contents

  1. Front Matter
    Pages i-x
  2. Tools

    1. Front Matter
      Pages 1-1
    2. Mehran Kardar
      Pages 3-15
    3. Stéphane Roux, Alex Hansen
      Pages 17-30
    4. Sidney Redner
      Pages 31-48
  3. Diffusion-Limited Aggregation Model

    1. Front Matter
      Pages 49-49
    2. Jens Feder, Finn Boger, Liv Furuberg, Einar Hinrichsen, Torstein Jøssang, Knut Jørgen Måløy et al.
      Pages 63-81
    3. H. Van Damme, E. Lemaire
      Pages 83-104
    4. H. Van Damme, M. Ben Ohoud
      Pages 105-116
  4. Statistical Fracture Models

    1. Front Matter
      Pages 117-117
    2. Paul Meakin, Gang Li, Leonard M. Sander, Hong Yan, Francisco Guinea, Oscar Pla et al.
      Pages 119-140
    3. Phillip M. Duxbury, Yongsheng Li
      Pages 141-147
    4. H. J. Herrmann, L. de Arcangelis
      Pages 149-163
  5. Rheology and Fracture

    1. Front Matter
      Pages 165-165
    2. Dusan Krajcinovic
      Pages 167-185
    3. Daniel Maugis
      Pages 187-218
  6. Materials and Applications

    1. Front Matter
      Pages 253-253
    2. Daniel Bideau, Etienne Guyon, Luc Oger
      Pages 255-268
    3. Paul Acker, Pierre Rossi, Jean-Michel Torrenti
      Pages 269-278
    4. Leon Knopoff
      Pages 279-287
    5. Leon Knopoff
      Pages 289-300
  7. Back Matter
    Pages 301-305

About this book

Introduction

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.

Keywords

Simulation fracture mechanics geometry linearity mechanics model modeling

Editors and affiliations

  • J. C. Charmet
    • 1
  • S. Roux
    • 1
  • E. Guyon
    • 2
  1. 1.Ecole Supérieure de Physique et Chimie Industrielles de ParisParisFrance
  2. 2.Université de Paris-SudOrsayFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-6864-3
  • Copyright Information Springer-Verlag US 1990
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-306-43576-8
  • Online ISBN 978-1-4615-6864-3
  • Series Print ISSN 0258-1221
  • Buy this book on publisher's site