International Journal of Fracture

, Volume 63, Issue 4, pp 317–328 | Cite as

A new boundary integral equation method of three-dimensional crack analysis

  • Y. B. Wang
Article
Received:
Accepted:

Abstract

Introducing the mode II and mode III dislocation densities W2(y) and W3(y) of two variables, a new boundary integral equation method is proposed for the problem of a plane crack of arbitrary shape in a three-dimensional infinite elastic body under arbitrary unsymmetric loads. The fundamental stress solutions for three-dimensional crack analysis and the limiting formulas of stress intensity factors are derived. The problem is reduced to solving three two-dimensional singular boundary integral equations. The analytic solution of the axisymmetric problem of a circular crack under the unsymmetric loads is obtained. Some numerical examples of an elliptical crack or a semielliptical crack are given. The present formulations are of basic significance for further analytic or numerical analysis of three-dimensional crack problems.

Keywords

Stress Intensity Intensity Factor Stress Intensity Factor Boundary Integral Equation Crack Problem 
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Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • Y. B. Wang
    • 1
  1. 1.Department of MechanicsLanzhou UniversityLanzhouPeople's Republic of China

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