含任意直线型裂纹的直角域中圆柱夹杂对SH波的散射

摘要

Green's function and complex function methods were used here to investigate the problem of scattering of SH-wave by a cylindrical inclusion in right-angle plane with an arbitrary beeline crack. Firstly, an essential solution to displacement field of an elastic right-angle plane containing a cylindrical inclusion while its any point bore a out-of-plane harmonic line source load was taken as Green's function. Secondly, crack was made out with crack-division technique,and expressions of displacement and stress fields were written during both crack and cylindrical inclusion exsiting.Finally, some examples and results for dynamic stress concentration factor of the cylindrical elastic inclusion were given,and the influence of crack on dynamic stress concentration factor at the edge of cylindrical elastic inclusion was discussed.%采用Green函数及复变函数方法研究了SH波作用下直角域内任意直线型裂纹对圆柱弹性夹杂的影响.首先,取含有圆柱弹性夹杂的直角域内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基本解作为适合Green函数;其次,利用裂纹切割技术构造裂纹,并写出圆柱夹杂与裂纹同时存在时的位移场和应力场;最后,给出圆柱弹性夹杂动应力集中系数的算例和结果,并讨论了裂纹的存在对动应力集中系数的影响.