SH波对圆弧形凸起地形的散射

本文采用“契合”的方法,给出了一个求解平面ＳＨ波对圆弧形凸起形散射的新方法。利用包括圆绵形凸起上边界线在内的一个圆域中预先构造的满足凸起边界应力为零。其余边界应力待定的级数解和其余下的具有圆弧形凹陷的半空间中的解答。通过在其结合面上完成“契合”的过程中分别确定出圆域和半空间听解答。给出了问题的最终结果。利用上述方法,问题的求解仍归结为对一个无穷代数方程组的求解。最后,本文给出了数值结果并对其进行了

SCATTERING OF PLANE SH-WAVE BY A CYLINDRICAL HILL OF CIRCULAR-ARC CROSS SECTION

A new approach based on "conjunction" to slove the SH-wave scattering by a cylindrical hill of circular-arc cross section is introduced in the paper. A solution of series in a circle field which including the boundary of the hill is constructed which meets the condition that stress is zero on the hill and arbitrary on the underpart boundary. The solution of series and a solution in a half-space with a cylindrical canyon of circular arc cross-section are used to conjoin on the junction interface then the last solution in the circle field and the half-space is obtained. The solution of the problem is reduced to solving a set of infinite linear algebraic equations by using the approach. Finally we give the computational results and discussion.