含有部分脱胶的浅埋圆夹杂对SH波的散射

›› 2009, Vol. 30 ›› Issue (5): 1297-1302.

含有部分脱胶的浅埋圆夹杂对SH波的散射

赵嘉喜，齐辉，杨在林

哈尔滨工程大学航天与建筑工程学院，哈尔滨 150001

收稿日期:2007-11-20 出版日期:2009-05-10 发布日期:2011-02-18
作者简介:赵嘉喜，1980年生，男，博士研究生，主要从事断裂理论研究。
基金资助:
黑龙江省自然科学基金资助（No. A0206）。

Scattering of SH-waves by a shallow buried cylindrical inclusion with a partially debonded curve in half space

ZHAO Jia-xi, QI Hui, YANG Zai-lin

College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, China

Received:2007-11-20 Online:2009-05-10 Published:2011-02-18

摘要/Abstract

摘要：

采用复变函数法研究了含有部分脱胶的浅埋圆柱形弹性夹杂对SH波的散射与地震动问题。在圆形弹性夹杂中构造一个满足脱胶部分应力自由的驻波函数，将其展开为含有一个待定系数的Fourier级数。在半空间中，介质应满足脱胶部分应力自由、公共边界处位移和应力连续的边界条件，从而建立起求解该问题的无穷代数方程组。最后，给出了地表位移的数值结果。给果表明，入射波参数、脱胶位置、弹性夹杂参数以及埋深对地表位移都有一定程度的影响。

关键词: SH波散射, 地表位移, 浅埋圆柱形弹性夹杂, 脱胶

Abstract:

The scattering of SH-waves by a shallow buried cylindrical elastic inclusion with a partially debonded curve in half space is studied by function of complex variable method. Firstly, the standing wave function in the cylindrical elastic inclusion is constructed, where satisfies that the stress on the debonded curve is zero. Then the function is generated into the Fourier series. In the half space, the boundary condition of the medium satisfies that the stress on the debonded curve is zero and the stress and displacement on the common border are continuous with the elastic inclusion. Then, a set of infinite algebraic equations to solve this problem can be obtained. In the end, numerical examples of the surface displacement are presented. The results indicates that the surface displacement could be influenced by the incident wave parameters, the position of debonded curve, the parameters of elastic inclusion and the depth of the buried inclusion to some extent.

Key words: scattering of SH-waves, surface displacement, shallow buried cylindrical elastic inclusion, debonded curve

中图分类号:

O 241

赵嘉喜，齐辉，杨在林. 含有部分脱胶的浅埋圆夹杂对SH波的散射[J]. , 2009, 30(5): 1297-1302.

ZHAO Jia-xi, QI Hui, YANG Zai-lin. Scattering of SH-waves by a shallow buried cylindrical inclusion with a partially debonded curve in half space[J]. , 2009, 30(5): 1297-1302.

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