Abstract: More and more attention has been paid to the influence of the sliding interface on the mechanical behaviors of materials recelltly. But most of the results available based on the assumption that the inclusion interface could not sustain any shear traction(free sliding),which is not suitable for most physical realities.In the present paper the non-zero shear traction at the inclusion interface has been taken into account,and an exact solution is obtained for the eigenstrain problem of spherical inclusion wit...