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Three-Dimensional Cracks: Further Concepts

  • D. A. Hills
  • P. A. Kelly
  • D. N. Dai
  • A. M. Korsunsky
Chapter
  • 322 Downloads
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 44)

Abstract

In Chapter 6 the basic principles of the distributed dislocation (loop) technique for three-dimensional crack problems were described, where the stress due to an infinitesimal dislocation loop of unit strength was used as the kernel function of the singular integral equation. The technique was employed to solve the crack problems under opening mode loading only. This approach will now be extended to a more general case, where a planar crack of arbitrary shape is subjected to mixed-mode loading. As the crack faces will in general experience both opening and shearing displacements, the basic infinitesimal dislocation loop to be employed to model the three relative displacements of the crack faces will have an arbitrary Burgers vector b, i.e. it is no longer perpendicular to the slip plane. To derive the associated singular integral equations we must first find the stress field due to an infinitesimal dislocation loop with arbitrary Burgers vector.

Keywords

Stress Intensity Factor Burger Vector Slip Plane Crack Front Singular Integral Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1996

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

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