Abstract：The fundamental solutions for a crack under concentrated pseudo-traction are given by using the Muskhelishvili¢s complex potential theory and by the solution of Riemann-Hilbert problem. With the aid of the‘pseudo-traction’method and the superposition technique，the stress intensity factors for materials such as rock with center inclined crack under compressive load are determinated and the effects of crack direction on the stress intensity factor are analyzed. The effects of finite length and finite width on the stress intensity factor are achieved by using the fundamental solution and the boundary condition.
