Abstract: In the category of elastodynamic fracture, the present paper investigates the problem of SH-wave scattering by cracks of any limited lengths originating at the boundary of a cylindrical hole, and gives the solutions of dynamic stress intensify factor at the crack tip. The Green's Function method is used. That means a special Green's function, which is a fundamental solution of displacement field for an elastic half space possessing a half cylindrical gap while bearing out of plane harmonic line source for...