含有部分脱胶的浅埋圆夹杂对SH波的散射

采用复变函数法研究了含有部分脱胶的浅埋圆柱形弹性夹杂对SH波的散射与地震动问题。在圆形弹性夹杂中构造一个满足脱胶部分应力自由的驻波函数，将其展开为含有一个待定系数的Fourier级数。在半空间中，介质应满足脱胶部分应力自由、公共边界处位移和应力连续的边界条件，从而建立起求解该问题的无穷代数方程组。最后，给出了地表位移的数值结果。给果表明，入射波参数、脱胶位置、弹性夹杂参数以及埋深对地表位移都有一定程度的影响。

Scattering of SH-waves by a shallow buried cylindrical inclusion with a partially debonded curve in half space

The scattering of SH-waves by a shallow buried cylindrical elastic inclusion with a partially debonded curve in half space is studied by function of complex variable method. Firstly, the standing wave function in the cylindrical elastic inclusion is constructed, where satisfies that the stress on the debonded curve is zero. Then the function is generated into the Fourier series. In the half space, the boundary condition of the medium satisfies that the stress on the debonded curve is zero and the stress and displacement on the common border are continuous with the elastic inclusion. Then, a set of infinite algebraic equations to solve this problem can be obtained. In the end, numerical examples of the surface displacement are presented. The results indicates that the surface displacement could be influenced by the incident wave parameters, the position of debonded curve, the parameters of elastic inclusion and the depth of the buried inclusion to some extent.