摘要
当衬砌结构内含裂纹时 ,采用Green函数的方法 ,研究了SH波对裂纹的散射及其动应力集中 ,构造了在含有半圆形衬砌的弹性半空间上 ,在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 ;推导了SH波对衬砌内有裂纹的散射定解积分方程组 ,进而求得裂纹尖端的动应力因子 ,重点讨论了衬砌及周围介质对裂纹尖端动应力因子的影响 ,给出了介质参数变化对裂纹尖端动应力因子的影响曲线 。
In this paper,the dynamic stress concentration and the scattering of SH wave on circular canyon with lining and crack are studied by using Green function.In order to solve the problem,the first important work is to construct a suitable Green function,which is the solution of displacement field for elastic half space with lining and crack acted by out plane harmonic line source force at horizontal surface.The integral equation to determine the unknown forces can be changed into algebraic and solved numerically.So the dynamic stress contracted factor (DSCF) of crack may be determined.The influence on the the lining crack DSCF is discussed emphastically.Numerical results and discussion of crack DCSF are given,which provides a kind of reference for engineering design.
出处
《爆炸与冲击》
EI
CAS
CSCD
北大核心
2000年第3期228-234,共7页
Explosion and Shock Waves
基金
国家自然科学基金项目 !(5 95 780 0 3)