SH波对界面附近脱胶圆夹杂的散射

采用Green函数法、复变函数法研究了SH波对界面附近含有半圆形脱胶的圆柱形弹性夹杂的散射,并给出了动应力集中系数的数值结果.首先,沿界面将整个空间分成上下2个部分.在上半空间,给出了在含有半圆形凸起的圆柱形弹性夹杂的弹性半空间中水平表面上任意一点承受时间谐和的出平面线源荷载作用时的位移函数.其次,取该位移函数作为Green函数,在上下空间"契合"时在界面处满足连续性条件,同时构造出半圆形脱胶,进而求出应力和位移的表达式.最后作为算例,给出了弹性夹杂周边以及脱胶结构周边的动应力集中系数的数值结果,分析了圆柱形夹杂和不同介质参数对动应力集中的影响情况.结果表明,脱胶结构对界面附近的动应力集中系数有放大作用.

Scattering of SH-wave by a cylindrical inclusion partially debonded from its interface

The Green function and other complex functions were employed to study the scattering of SH waves by a cylindrical elastic inclusion in a semicircular debonded curve in lower space.A numerical solution to the dynamic stress concentration factor was calculated in the following way.First,along the interface we divided the whole space into two parts,defining upper and lower parts.Next,in the upper half space,a proper Green's function for the present problem was constructed.It was an essential solution of the displacement field of the elastic half space,where the semi-cylindrical hill contains a cylindrical elastic inclusion and is subjected to an out-of-plane harmonic line source load on the horizontal surface.The Green's function should satisfy the continuous conditions at the conjunction area when the upper and lower parts are joined,therefore a semicircular debonded curve was constructed and the expressions of displacement field and stress field formulated in this situation.Finally,some examples of dynamic stress concentration factors around an inclusion and the debonded curve were calculated.The influence of the cylindrical inclusions and different medium parameters on dynamic stress concentration factors is discussed.It is found that dynamic stress concentration factors increase in the proximity of the debonded curve.