近表面周期裂纹阵对SH波散射问题的边界元解

THE BOUNDARY INTEGRAL EQUATION (BIE) APPROACH TO SCATTERING OF SH WAVES BY A SUBSURFACE CRACK

针对半空间中一近表面周期裂纹对SH波的散射问题,本文采用边界元法进行研究。利用周期性的条件,将问题归结为一个典型条带中含单个裂纹的问题,并推导出了以裂纹张开位移为未知函数的边界积分方程。为了解决高阶奇异的边界积分方程的数值计算问题,本文采用解析的方法进行降阶。计算了半空间表面的位移,与其他方法求解结果的比较证明了数值计算的可靠性。

In this paper,the problem of the so attering of SH waves by a subsurface periodic array of cracks is investigated by a BIE methoc . A set of boundary integral equation (BIE) with the unknown function of opening displacement is obtained. A method to depress the order of singularity of the corresponding BIE is presented. Surface displacement has been computed. The reliability of numerical calculations has been checked by comparison with the other method.