浅埋圆柱形弹性夹杂附近的半圆形凸起对SH波的散射

Scattering of SH-wave by a semi-cylindrical hill above a subsurface elastic cylindrical inclusion

采用“契合”思想,利用复变函数法研究了地下弹性夹杂与地面上半圆形凸起地形对SH波的散射问题.将整个求解区域分割为2部分,在其中分别构造预先满足边界条件的位移解.利用“公共边界”上的“契合”条件和地下弹性夹杂的边界条件,建立起求解该问题的无穷代数方程组.通过具体算例,给出了地表位移幅值和弹性夹杂边界上动应力集中的数值结果,并进行了讨论.可以看到,弹性夹杂与介质的材料参数比对地表位移和弹性夹杂边界上动应力集中系数有直接影响.

Scattering of SH-wave by a semi-cylindrical hill above a subsurface elastic cylindrical inclusion in halfspace was studied based on ＂conjunction＂ by complex function. The whole solution domain was divided into two parts, and the solutions that satisfied the boundary conditions were constructed in two parts respectively. According to the ＂conjunction＂ condition of junction interface and the boundary condition around the subsurface elastic cylindrical inclusion, a set of infinite algebraic equations about the problem can be obtained. The computational results of surface displacement and the results of dynamic stress concentration factor around the elastic cylindrical inclusion were provided and discussed. It can be seen that the surface displacement and the dynamic stress concentration factor around the elastic cylindrical inclusion were influenced by the parameter ratio of the elastic cylindrical inclusion to the media directly.