加层半空间平面交界裂缝的弹性波散射——远场研究  

SCATTERING OF ELASTIC WAVES BY A PLANE INTERFACE CRACK IN A LAYERED HALF SPACE——FAR FIELD STUDY

作　　者：马兴瑞[1] 邹振祝[1] 黄文虎[1] 

机构地区：[1]哈尔滨工业大学

出　　处：《地震工程与工程振动》1989年第1期10-20,共11页Earthquake Engineering and Engineering Dynamics

摘　　要：本文采用积分变换、积分方程、围道积分技术与渐近分析方法,研究了加层半空间平面交界裂缝弹性波散射的远场特性。文中把散射问题转化为求解对偶积分方程,进而化为求解奇异积分方程组,得到了Jacobi多项式的级数解,给出弹性波散射的远场模式,并计算了几组不同材料组合情形下远场模式的幅频曲线。计算结果表明共振峰是存在的,且P波与SV波入射时共振特性相同。In this paper, far field characteristics of scattering of elastic waves by a plane interface crack in a layered half space have been studied by means of combination of integral transform, integral equations, contour integral technique and some asymptotic analysis methods. The problem is reduced to a set of dual integral equations which are further transformed to a set of singular integral equations and the solutions of the equations in Jacobi polynomials series are obtained. The far field modes of the scattering of elastic waves have been presented. Amplitudes in far field modes are plotted versus incident frequency for several group of different materials combination, and numerical results show that resonance peaks occur at some frequency, and as incident P wave and SV wave, the resonances are same.

关 键 词：交界裂缝 弹性波散射 远场特性 

分 类 号：TU311.3[建筑科学—结构工程]