瞬态弹性波散射的变换域积分方程法

Integral Equation in Transformed Field for Instantaneous Elastic Wave Scattering

摘要:

针对瞬态弹性波散射的问题,从弹性动力学问题的积分表示定理出发,采用Laplace变换的方法,得到了变换域内均质体位移场的积分方程表示;在此基础上推导了适合瞬态弹性波对异质体散射求解的变换域位移场积分方程。

Abstract:

In this paper, according to the integral representation theorem of elastdynamies, an integral equation in transformed filed that represents the displacement field in homogeneous body has been deduced by using Laplace transform. Furthermore, an integral equation in transformed filed, which suited to calculate the instantaneous elastic wave scattering by a number of irregular scatterers embedded in an elastic body is derived.