Scattering of SH-waves and Ground Motion by a removable rigid cylindrical inclusion and a crack in half space

In this paper, scattering of SH-waves by an elastic half space with a removable rigid cylindrical inclusion and a crack in any position and direction is studied with Green's function, complex function and multi-polar coordinate method. First, a suitable Green's function is constructed, which is the fundamental solution of the displacement field for a half space with a removable rigid cylindrical inclusion impacted by an out-plane harmonic line source loading at an arbitrary point in half space. Then a crack in any position and direction is constructed by means of crack-division in half space. Finally the displacement field and stress field are established in the case of coexistence of the inclusion and crack, and the expression of the ground motion of the horizontal surface for incident SH wave is given. According to numerical examples, the influences of different parameters on the ground motion are discussed. Key-Words: - Scattering of SH-waves; Crack; inclusion; Green's function; Ground motion