摘要
本文研究了加层半空间硬币形交界裂纹的弹性波散射。文中采用Hankel积分变换,将散射问题转化为求解对偶积分方程,进而变换为奇异积分方程组.应用积分变换,围道积分技术和渐近分析方法,得到了弹性层中散射位移场的远场模式,理论分析表明弹性层中的散射位移场主要由RayLeigh-Like-Mode波组成,该波是弹性层中的散射波导.最后,给出两组弹性常数组合情形下的数值结果及讨论.
In this paper, the scattering of elastic wave by a penny-shaped interface crack in a layered half space has been investigated. By Hankel integral transform, the problem is reduced to a set of dual integral equations which are transformed into a set of singular integral equations. The far field modes of scattered displacements in the layer have been obtained by means of Hankel integral transform, contour integral technique and the methods of asymptotic analysis. The theoretical results show that the scattered displacements in the layer are composed of Rayleigh-Like-Mode waves predominantly, which behave as the scattered waveguides in the layer. Finally, the numerical results and discussion are presented for two groups of elastic constants combinations.
出处
《应用力学学报》
CAS
CSCD
北大核心
1989年第1期17-26,110,共10页
Chinese Journal of Applied Mechanics
关键词
弹性波
散射
交界裂纹
远场分析
elastic wave scattering
interface crack
far field analysis
waveguide.
