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Solution of Crack Problems

The Distributed Dislocation Technique

  • D. A. Hills
  • P. A. Kelly
  • D. N. Dai
  • A. M. Korsunsky

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 44)

Table of contents

  1. Front Matter
    Pages i-xii
  2. D. A. Hills, P. A. Kelly, D. N. Dai, A. M. Korsunsky
    Pages 1-27
  3. D. A. Hills, P. A. Kelly, D. N. Dai, A. M. Korsunsky
    Pages 29-68
  4. D. A. Hills, P. A. Kelly, D. N. Dai, A. M. Korsunsky
    Pages 69-106
  5. D. A. Hills, P. A. Kelly, D. N. Dai, A. M. Korsunsky
    Pages 107-136
  6. D. A. Hills, P. A. Kelly, D. N. Dai, A. M. Korsunsky
    Pages 137-169
  7. D. A. Hills, P. A. Kelly, D. N. Dai, A. M. Korsunsky
    Pages 171-210
  8. D. A. Hills, P. A. Kelly, D. N. Dai, A. M. Korsunsky
    Pages 211-230
  9. D. A. Hills, P. A. Kelly, D. N. Dai, A. M. Korsunsky
    Pages 231-233
  10. Back Matter
    Pages 235-306

About this book

Introduction

This book is concerned with the numerical solution of crack problems. The techniques to be developed are particularly appropriate when cracks are relatively short, and are growing in the neighbourhood of some stress raising feature, causing a relatively steep stress gradient. It is therefore practicable to represent the geometry in an idealised way, so that a precise solution may be obtained. This contrasts with, say, the finite element method in which the geometry is modelled exactly, but the subsequent solution is approximate, and computationally more taxing. The family of techniques presented in this book, based loosely on the pioneering work of Eshelby in the late 1950's, and developed by Erdogan, Keer, Mura and many others cited in the text, present an attractive alternative. The basic idea is to use the superposition of the stress field present in the unfiawed body, together with an unknown distribution of 'strain nuclei' (in this book, the strain nucleus employed is the dislocation), chosen so that the crack faces become traction-free. The solution used for the stress field for the nucleus is chosen so that other boundary conditions are satisfied. The technique is therefore efficient, and may be used to model the evolution of a developing crack in two or three dimensions. Solution techniques are described in some detail, and the book should be readily accessible to most engineers, whilst preserving the rigour demanded by the researcher who wishes to develop the method itself.

Keywords

cracks fracture fracture mechanics mechanics transformation

Authors and affiliations

  • D. A. Hills
    • 1
  • P. A. Kelly
    • 2
  • D. N. Dai
    • 1
  • A. M. Korsunsky
    • 3
  1. 1.Department of Engineering ScienceUniversity of OxfordOxfordUK
  2. 2.The Oxford Orthopaedic Engineering CentreNuffield Orthopaedic CentreOxfordUK
  3. 3.Department of Materials Science and MetallurgyUniversity of CambridgeCambridgeUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-8648-1
  • Copyright Information Springer Science+Business Media B.V. 1996
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4651-2
  • Online ISBN 978-94-015-8648-1
  • Series Print ISSN 0925-0042
  • Buy this book on publisher's site