界面脱胶衬砌对出平面波的远场动应力响应

Far field dynamic response of anti-plane wave by a cylindrical lining debonded from its interface

采用Green和复变函数法对含有界面半圆形脱胶圆衬砌全空间在承受出平面动力时远场响应进行求解。沿界面将整个空间分成含有半圆形凹陷的上半空间和含有半圆形凸起的圆柱形弹性衬砌的下半空间两部分,分别给出在各自水平界面任意一点加载一出平面且与时间谐和的线源波动时上下半空间位移场,即Green函数。利用脱胶边界应力自由的边界条件形成脱结构,求出出平面波任意角度入射时整个空间应力场和位移场,同时给出了散射波远场位移模式和散射截面的解答。实例分析了不同材料组合而成的界面脱胶圆衬砌的SH波散射远场特性。

This paper uses the Green function and other complex functions to study the far field solu- tion of SH-wave scattered by a cylindrical lining debonded from its interface. The paper offers a numerical solution to the dynamic stress concentration factor. The solution is developed in three steps, first, by, a- long the interface, dividing the whole space into two parts, upper part including semi-cylindrical hollow and lower part including a cylindrical lining with a semicircular hill; second, by giving the displacement field for the present problem, as is conditioned by the fact that the displacement function should satisfy the continuous conditions at the conjunction area when the upper and lower parts are joined, there- fore constructing a semicircular debonded curve; and third, by offering the numerical results of displacement mode of scattering wave at far field and scattering cross-section. The paper discusses the influence of different combinationas of bimaterial structure on scattering wave at far field.