Solid Mechanics and Its Applications

Solution of Crack Problems

The Distributed Dislocation Technique

Authors: Hills, D.A., Kelly, P.A., Dai, D.N., Korsunsky, A.M.

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About this book

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.

Table of contents (8 chapters)

  • Introduction to Fracture Mechanics

    Hills, D. A. (et al.)

    Pages 1-27

    Preview Buy Chapter 30,19 €
  • Distributed Dislocation Fundamentals

    Hills, D. A. (et al.)

    Pages 29-68

    Preview Buy Chapter 30,19 €
  • Further Topics in Plane Crack Problems

    Hills, D. A. (et al.)

    Pages 69-106

    Preview Buy Chapter 30,19 €
  • Interface Cracks

    Hills, D. A. (et al.)

    Pages 107-136

    Preview Buy Chapter 30,19 €
  • Solution of Axi-Symmetric Crack Problems

    Hills, D. A. (et al.)

    Pages 137-169

    Preview Buy Chapter 30,19 €

Buy this book

eBook 130,89 €
price for Spain (gross)
  • ISBN 978-94-015-8648-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 176,79 €
price for Spain (gross)
  • ISBN 978-0-7923-3848-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 165,21 €
price for Spain (gross)
  • ISBN 978-90-481-4651-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Solution of Crack Problems
Book Subtitle
The Distributed Dislocation Technique
Authors
Series Title
Solid Mechanics and Its Applications
Series Volume
44
Copyright
1996
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-015-8648-1
DOI
10.1007/978-94-015-8648-1
Hardcover ISBN
978-0-7923-3848-2
Softcover ISBN
978-90-481-4651-2
Series ISSN
0925-0042
Edition Number
1
Number of Pages
XII, 308
Topics