弹性半空间不规则异质体引起的瑞利波散射

Scattering of Rayleigh wave from irregular obstacles in elastic half-space

从Lamb 问题的基本解出发,通过对弹性波散射问题的积分方程进行复杂的数学变换和推导,得到了一个适合于瑞利波散射问题的积分方程的简单表达式,通过迭代求解这个表达式即可解决多个不规则异质体引起的瑞利波散射问题。实例证明本文方法收敛速度非常快,通常只需迭代3～4 次即可得到精确的解答。

In this paper, a simple integral equation for scattering of Rayleigh wave has been deduced based on the fundamental solution of Lamb problem and elastic wave scattering theory. This method can deal with scattering of Rayleigh wave from irregular multi-obstacles by iteration. The convergence rapidity of the method has been proved very high by some practical examples, and usually the accurate solution can be obtained only through three to four times of iteration.