In this work, the scattering problem of SH wave caused by circular cavity in half space with inhomogeneous shear modulus is solved. The shear modulus is assumed to vary in two dimensions. Based on the complex function theory and conformal mapping technique, the analytical expressions of the displacement field and stress field in half space are obtained. The unknown coefficient is determined according to the boundary condition. The numerical results show that the inhomogeneous parameters, the reference wave number, and the buried depth of the cavity have obvious effects on the displacement amplitude of the horizontal surface and the stress concentration around the circular cavity.

中文翻译：

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半空间模量不均匀的圆形空腔引起的SH波散射问题的解析解

本工作解决了剪切模量不均匀的半空间中圆形腔引起的SH波的散射问题。假定剪切模量在二维上变化。基于复函数理论和共形映射技术，得到了半空间位移场和应力场的解析表达式。未知系数根据边界条件确定。数值结果表明，不均匀的参数，参考波数和空腔的埋深对水平面的位移幅度和圆形空腔周围的应力集中有明显的影响。