SH 波对圆形夹杂与裂纹的散射及其动应力集中

采用Green 函数的方法, 研究了介质中同时存在夹杂与裂纹时对SH 波的散射, 构造了在含有半圆形夹杂的弹性半空间, 水平面上任一点承受时间谐和出平面线源载荷作用时的位移函数作为Green 函数。并推导了SH 波对夹杂与裂纹散射的定解积分方程组, 进而求得裂纹尖端的动应力因子。重点讨论了夹杂的存在对裂纹尖端动应力因子的影响, 给出了随夹杂介质参数及夹杂与裂纹距离对裂纹尖端动应力因子的分布曲线, 为工程设计提供参考依据。　 

DYNAMIC STRESS CONCENTRATION AND SCATTERING OF SH-WAVE BY CIRCLE INTERMIXION AND CRACK

The dynamic stress concentration and the scattering of SH wave by intermixion and crack are studied by means of Green's function. In order to solve the problem, the first important work is to construct a suitable Green's function, which is the solution of displacement field for elastic half space with intermixion and crack by out plane harmonic line source loading at horizontal surface. The integral equation for determining the unknown forces about the problem can be transformed into algebraic equation and solved numerically. So the dynamic stress concentration factor (DSCF) of crack may be determined. The influence of intermixion on crack DSCF is discussed emphatically, numerical results and discussion are given, so a kind of useful reference for engineering design is provided.