The interaction of the semi-cylindrical canyon and the crack for incident SH wave

In this paper, the method of Green's function is used to investigate the problem of dynamic stress concentration factor (DSCF) of the semi-cylindrical canyon, the ground motion of the horizontal surface for incident SH wave. The train of thought for this problem is that: Firstly, a Green's function is constructed for the problem, which is a basic solution of displacement field for an elastic half space containing a semi-cylindrical canyon impacted by anti-plane harmonic linear source force at any point of the elastic-space. In terms of the solution of SH-wave's scattering by an elastic half-space with a semi-cylindrical canyon, anti-plane stresses which are the same in quantity but opposite in direction to those mentioned before, are loaded at the region where the crack existent actually, we called this process "crack-division". Finally, the expressions of the displacement and stresses are given when the semi-cylindrical canyon and the crack exist at the same time. Then, using the expressions, we discuss the influence of the ground motion, the DSCF of the semi-cylindrical canyon according to the existent crack and semi-cylindrical canyon.