Scattering of SH-wave in a layered half-space with a subsurface circular cavity

被引:0
作者
Qi, Hui [1 ]
Shi, Yong [1 ]
Chen, Dong-Ni [1 ]
机构
[1] College of Aerospace and Civil Engineering, Harbin Engineering University
来源
Harbin Gongcheng Daxue Xuebao/Journal of Harbin Engineering University | 2009年 / 30卷 / 05期
关键词
Dynamic stress concentration; Scattering of SH-wave; Subsurface circular cavity; Surface elastic layer; Wave functions expansion method;
D O I
10.3969/j.issn.1006-7043.2009.05.008
中图分类号
学科分类号
摘要
The scattering of SH-waved by a subsurface circular cavity in a layered elastic half-space was investigated using the complex function method and the wave functions expansion method. According to the attenuation characteristics of SH-wave scattering, the problem can be solved by a hypothesized super large arc. The solution for scattering of SH-waves was given by a circular cavity embedded in a layered half-space with an almost straight circular boundary to approximate the straight boundary of the surface elastic layer. By using the Helmholtz theory, the general solution of Biot's wave function was given and then in the light of boundary conditions and by applying the Fourier-Hankel transform, the problem becomes one of resolving the unknown coefficients of infinite linear algebraic equations. A numerical result can be derived by truncating the infinite linear algebraic equations. Finally, through numerical calculations, the authors illustrated the influence of different stiffnesses and thicknesses of the surface elastic layer on the dynamic stress concentration factors around the circular cavity. The results of calculations showed that the existence of a surface layer on a half-space, even if it is very thin, greatly effects the scattering of incident SH-waves, and variations of stiffness and thickness of the surface layer can cause remarkable changes to the dynamic behavior of a circular cavity.
引用
收藏
页码:513 / 517
页数:4
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