An exact solution of the 3-D-problem of an interface semi-infinite plane crack

摘要

The problem of a semi-infinite plane interface crack between three-dimensional (3-D) isotropic half-spaces is considered. Mathematically the problem is reduced to the analysis of the 3×3 matrix Wiener-Hopf problem. Explicit expressions for the factors of the 3×3 matrix are determined in quadrates. Exact-closed formulae for the stresses, discontinuities of the displacements, the stress intensity factors and the weight functions are found .