A HARMONICALLY EXCITED ELASTIC HALF-PLANE CONTAINING A RIGID FLAT INCLUSION

The plane strain problem for an elastic half-plane containing a rigid flat inclusion and subjected to a concentrated harmonic surface load is considered. The problem is reduced to a system of singular integral equations, with the differences in interface stresses between the inclusion and the matrix as the unknown functions. With the potential applications to problems in fracture mechanics and the non-destructive testing and evaluation in mind, the main results presented are the modes I and II stress intensity factors and the components of the displacement vector on the surface.