A SEMI-INFINITE CRACK PARALLEL TO THE BOUNDARY OF AN ELASTIC HALF-SPACE

So far, only a limited number of exact analytical solutions have been obtained for 3D problems of fracture mechanics. These solutions have been obtained mostly for symmetric cracks having the shape of a half-plane, circle, or ellipse and occurring in an unbounded medium. In the present paper, we construct a closed-form solution for a semi-infinite crack parallel lo the boundary surface of an elastic half-space. The problem is solved for two kinds of boundary conditions. A 2D analog of this problem for the case where the boundary of the half-plane was siress-frec was considered in [ I ]. An approximate solution of the plane problem of a crack parallel to the interface line was obtained in [2].