SH波作用下界面任意形状孔洞附近的动应力集中

DYNAMIC STRESS CONCENTRATION AROUND AN INTERFACE CAVITY OF ARBITRARY SHAPE BY SH WAVES

采用Green函数和复变函数法求解了平面SH波在界面任意形状孔洞上的散射问题.首先,取含有任意形状凹陷的弹性半空间,在其水平表面上任意一点承受时间谐和的反平面线源荷载作用时的位移场作为Green函数.然后,按契合方式构造出界面任意形状孔洞对SH波的散射模型,利用所得Green函数按界面位移连续条件建立求解问题的定解积分方程组,求解界面孔附近的动应力集中系数.最后,给出了界面上椭圆孔和方孔边缘动应力集中系数的数值结果,并讨论了不同介质参数和孔洞形状对孔附近动应力集中系数的影响.

Complex function and Green＇s function are employed to solve the scattering problem of SH- waves by an interface cavity with arbitrary shape. First,we should construct a suitable Green＇s function, which is an essential solution of displacement field for an elastic half space with canyon with arbitrary shape impacted by anti-plane harmonic line source loading at horizontal surface. Secoudly the methods of ＂conjunction＂ are used to construct the scattering model of SH-waves by interface cavity with arbitrary shape. A series of integral equations are set up through displacement continuity conditions on the interface in terms of the Green＇s function. The solution of dynamic stress concentration factor around an interface cavity is obtained. Finally,numerical results of dynamic stress concentration factor around an interface cavity with elliptic or square shape are provided, the influences of different media parameters and the cavity shape upon the dynamic stress concentration factor around the cavity are discussed.