An analytical method is applied to the finite length crack perpendicular to interface. Themedium is acted upon by antisymmetric loading. The singularity of finite crack fully imbeded inhomogeneous medium and crack front terminating at the interface and propagation into anothermedium is discussed. By introducing the dislocation density function, the problem is reduced to asingular integral equation according to the mixed boundary condition. A simple and highly effective numerical method──orthogonal polynomials transformation has been used to s...