界面脱胶圆夹杂对SH波散射的远场解  

FAR FIELD SOLUTION OF SH-WAVE SCATTERED BY AN INTERFACE CYLINDRICAL INCLUSION WITH DISCONNECTED CURVE

作　　者：赵嘉喜[1] 齐辉[1] 

机构地区：[1]哈尔滨工程大学建筑工程学院,哈尔滨150001

出　　处：《力学与实践》2009年第1期47-51,共5页Mechanics in Engineering

基　　金：黑龙江省自然科学基金项目资助(A0206)

摘　　要：采用Green函数方法和复变函数法研究了SH波对界面脱胶圆夹杂的散射问题,并给出了远场解答.首先,沿双质材料界面将整个空间分成上下两部分,在下半空间,给出了在水平表面上任意点承受时间谐和的出平面线源载荷作用时的位移函数,取该位移函数作为Green函数.其次,在下半空间,利用相关文献给出的Green函数,在上下空间连接时在双质材料界面处满足连续性条件,构造出半圆形脱胶裂纹,进而求出应力和位移的表达式,建立积分方程组,给出了散射波远场位移模式和散射截面的解答,分析了在不同参数变化时SH波散射的远场特性.结果表明,脱胶结构的存在对位移和散射截面有较大的放大作用.This paper investigates the far field solution of SH-wave scattered by an interface cylindrical inclusion with a disconnected curve near bi-media material by use of Green＇s function method and complex function method. First, along the interface of biomedia material, we divide the space into up and down parts. In the down part, a suitable Green＇s function for the present problem is constructed, which is the essential solution of the displacement field due to the out-plane harmonic line source load at the horizontal surface. Then in the up part, a suitable Green＇s function is used. Thereby the semicircular disconnected curve can be constructed when the two parts are bonded to be continuous in the interface impacted by SH-wave. And the expressions of the displacement field and the stress field are obtained and the integral equation is set up under this situation. The displacement mode of scattered wave at far field and scattering cross-section is obtained. Numerical results are illustrated and the influence of different parameters at far field is discussed. It is found that the displacement and scattering cross-section can be enlarged by the disconnected curve.

关 键 词：界面 SH波 Green函数法 圆柱形弹性夹杂 散射截面 

分 类 号：O23[理学—运筹学与控制论]