Abstract: This paper investigates the far field solution of SH-wavescattered by an interface cylindrical inclusion with a disconnected curvenear bi-media material by use of Green's function method and complexfunction method. First, along the interface of bi-media material, wedivide the space into up and down parts. In the down part, a suitableGreen's function for the present problem is constructed, which is theessential solution of the displacement field due to the out-plane harmonicline source load at the horizontal surface. Then in the up part, asuitable Green's function is used. Thereby the semicirculardisconnected curve can be constructed when the two parts are bonded to becontinuous in the interface impacted by SH-wave. And the expressions of thedisplacement field and the stress field are obtained and the integral equationis set up under this situation. The displacement mode of scattered wave atfar field and scattering cross-section is obtained. Numerical results areillustrated and the influence of different parameters at far field isdiscussed. It is found that the displacement and scattering cross-sectioncan be enlarged by the disconnected curve.