层状介质平面交界裂纹的弹性波(P波和SV波)散射研究

INVESTIGATION ON THE SCATTERING OF ELASTIC WAVES(P OR SV) BY A PLANE LNTERFACE CRACK IN LAYERED MEDIA

本文采用Fourier积分变换,将层状介质的弹性波传递矩阵法推广到含有平面交界裂纹层状介质的弹性渡散射问题,进而把散射问题转化为求解矩阵形式的对偶积分方程。作为特例,文中给出单一弹性层与半空间平面交界裂纹的弹性波散射远场模式,并计算几组不同材料组合情形下的远场模式幅频特性曲线,其数值结果表明幅频特性曲线有共振峰存在。

In this paper, the scattering of elastic waves by a plane interface crack in layered media has been investigated. By Fourier integral transform, the method of transfer matrix in elastic waves on layered media is extended to the scattering of elastic waves by a plane interface crack in layered media, and the problems are reduced to a set of dual integral equations in matrix form. As an example, the far field modes, of scattering of elastic waves by a plane interface crack in a layered half space have been presented Amplitudes in far field modes are plotted versus incident frequency for several groups of different material combinations, and the numerical results show that resonance peaks occur at some frequency. The locations of the resonance peaks in the curves coincide approximately.