The axisymmetric crack problem in a non-homogeneous interfacial region between homogeneous half-spaces


Fildis H., Yahsi O.

INTERNATIONAL JOURNAL OF FRACTURE, vol.78, no.2, pp.139-164, 1996 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 78 Issue: 2
  • Publication Date: 1996
  • Doi Number: 10.1007/bf00034523
  • Title of Journal : INTERNATIONAL JOURNAL OF FRACTURE
  • Page Numbers: pp.139-164

Abstract

In this paper, the axisymmetric crack problem in a non-homogeneous interfacial region between two homogeneous half-spaces is considered. It is assumed that the shear modulus varies continuously between that of the two half-spaces; and the shear modulus for the interface region is approximated by mu = mu(o) e(mz). By using Hankel transform technique the problem is reduced to a pair of singular integral equations. The solutions of the problem are obtained for different material combinations and loading conditions; and modes I and II stress intensity factors, and the direction of a probable crack growth are calculated.