SH波对双相介质界面附近圆形孔洞的散射

建立了求解平面SH波对双相介质界面附近圆形孔洞散射与动应力集中的一种分析方法．利用复变函数与多极坐标的方法构造了一个Green函数，它是在含有圆形孔洞的弹性半空间的水平面上任一点上作用时间谐和的出平面线源荷载的位移解．利用“契合”模型，并根据界面上位移连续性条件，建立了求解SH波对双相介质界面附近圆形孔洞散射的具有弱奇异性的第一类Fredholm型积分方程．给出了圆孔周边上动应力集中系数的表达式．作为算例，分析了在界面一侧或界面两侧附近具有圆形孔洞时SH波的散射，并讨论了入射波波数、不同的材料组合以及孔心至界面的距离对动应力集中的影响．

SCATTERING OF SH-WAVES BY CIRCULAR CAVITIES NEAR BIMATERIAL INTERFACE

An analytical method is developed for the scattering problem of SH-wave by circular cavities near the bimaterial interface and solving the dynamic stress concentration. A suitable Green's function is constructed, which is the essential solution of displacement field for an elastic half space with a circular cavity impacted by anti -- plane harmonic line source loading at horizontal surface to solve the problem. First, the bimaterial media is divided into two parts along the horizontal interface, one of which is elastic half space with a circular cavity and the other is either complete half space or elastic half space with a circular cavity. Then horizontal surfaces of the two half spaces are loaded with undetermined anti-plane forces in order to satisfy continuity conditions at linking section. A series of Fredholm integral equations of first kind for determining the unknown forces can be set up through continuity conditions that are expressed in terms of the Green's function. Finally, two Numerical examples are provided to show the influences of wave numbers, the geometrical location of the circular cavity and combination upon the dynamic stress concentration around the circular cavity edge.