半空间椭圆夹杂与裂纹对SH波的散射  

Interaction of elliptical inclusion and crack under incident SH-wave in a half-space

作　　者：杨在林[1] 许华南[1] 黑宝平[1] 

机构地区：[1]哈尔滨工程大学航天与建筑工程学院,哈尔滨150001

出　　处：《振动与冲击》2013年第11期56-61,79,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(10972064);中央高校基本科研业务费专项资金项目(HEUCFZ1125)

摘　　要：采用Green函数、复变函数及多极坐标方法求解弹性半空间中椭圆形弹性夹杂与任意方位裂纹对SH波的散射问题。利用"保角映射"技术求解椭圆夹杂对SH波的散射位移场,并构造适合的Green函数,即含椭圆形弹性夹杂的弹性半空间内任意一点承受时间谐和的反平面荷载作用时位移基本解,结合裂纹"切割"法构造裂纹,进而获得椭圆夹杂与裂纹同时存在条件下的位移场与应力场。通过具体算例讨论不同参数对地表位移、弹性夹杂周边动应力集中系数及裂纹尖端动应力强度因子影响规律。The methods of Green's function, complex variable function and multi-polar coordinates were applied to investigate interaction of elliptical elastic inclusion and an arbitrary length of crack at any position under incident SH-wave. The conformal mapping technology was adopted to solve SH-wave scattering displacement field. A Green's function, the fundamental solution to the displacement field for an elastic half space containing elliptical inclusion while bearing out-plane line source load at arbitrary point, was built. It was utilized to create a beeline crack with arbitrary length at any position combining the crack-division technology. The displacement field and stress field of the elastic half-space containing elliptical elastic inclusion and a crack were then deduced. Numerical examples were presented to discuss the effects of dynamic stress concentration factor (DSCF) around elliptical inclusion, horizontal surface displacement and dynamic stress intensity factor (DSIF) at crack tip on different parameters.

关 键 词：SH波的散射 GREEN函数 椭圆形弹性夹杂 裂纹 

分 类 号：TH212[机械工程—机械制造及自动化] TH213.3