In order to exermine the characteristic of stress distribution and the deformation mode of the composite-material. Green Function of infinite body with inclusion as a basic result would be need, and Green Function as a general solution for BEM is useful. In this paper, using the method of complex variable function, we could derive easily the general solutions of this problem. The solutions could be derived concretely by applying Cauchy in tergal for the complex function which given by conformal mapping of the shape of inclusion and the Green Funtion of elastic body. For any shape of the inclusion, the solutions could be derived by this general solution. As an instance, a solutions of in case of elliptic inclusion is given.
