Journal of Elasticity

, Volume 16, Issue 2, pp 163–177 | Cite as

On quadruple integral equations related to a certain crack problem

  • A. K. Nagar
  • L. S. Fu
  • D. A. Mendelsohn
Article
Received:

Abstract

An exact solution of a four part mixed boundary value problem representing a three colinear crack system connected with specified crack opening displacements between the cracks is obtained. The three cracks thus become one with pressure and/or opening displacement prescribed on the crack face. From considerations of dual symmetry and a formulation based on Papkovich-Neuber harmonic functions, the boundary value problem is reduced to solving a quadruple set of integral equations. An exact solution of these equations is derived using a modified finite Hilbert transform technique. The closed form results for the stress distributions and the crack-tip stress intensity factors are presented. Limiting cases of the solution yield results which agree with well known solutions.

Keywords

Integral Equation Exact Solution Stress Intensity Intensity Factor Stress Intensity Factor 
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

© Martinus Nijhoff Publishers 1986

Authors and Affiliations

  • A. K. Nagar
    • 1
  • L. S. Fu
    • 1
  • D. A. Mendelsohn
    • 1
  1. 1.Department of Engineering MechanicsThe Ohio State UniversityColumbusUSA

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