圆夹杂内裂纹对SH波的动力响应  

SCATTERING OF SH WAVE BY A CRACK INSIDE A CIRCULAR INCLUSION

作　　者：陆建飞[1] 蔡兰[1] 柳春图[2] 

机构地区：[1]江苏大学理学院,镇江212013 [2]中国科学院力学研究所,北京100080

出　　处：《力学学报》2003年第5期623-627,共5页Chinese Journal of Theoretical and Applied Mechanics

基　　金：中国博士后科学基金(2001529)

摘　　要：利用特殊函数的Graf加法公式和波函数展开方法得出了圆夹杂内作用集中力的格林函数.根据Bessel函数的渐近性质,对所得格林函数的奇异部分和有界部分进行了分离.利用所得的格林函数和互易定理得出了圆夹杂内裂纹在SH波作用下的散射场.根据裂纹的散射场建立了圆夹杂内裂纹的超奇异积分方程.对超奇异积分方程的数值求解,可得裂纹端点的动应力强度因子.Using the Graf formula of Bessel function and wave function expansion method, the Green function of a point force applied inside of a circular inclusion is established. In terms of the asymptotic property of Bessel function, the obtained Green function is separated into a singular part and a regular part. Using the obtained Green function and the reciprocity principle, the scattered field of the crack is available. The hypersingualr integral equation of the crack can be constructed through the scattered field of the crack. Numerical solution of the hypersingular integral equation yields the dynamic stress intensity factor at the crack tips.

关 键 词：圆夹杂 裂纹 SH波 复合材料 弹性波 动力响应 超奇异积分方程 动应力强度因子 Graf加法公式 波函数展开方法 

分 类 号：O347.41[理学—固体力学] TB33[理学—力学]