摘要
本文内容分为两部分。首先用Green函数方法求解各向异性介质中Ⅱ型裂缝的扩展问题。在此基础上,利用摄动法求解各向异性介质中Ⅱ型裂缝的侧向扩展问题。摄动参数为转向角δ.结果表明,强度因子的零阶摄动解具有O[δ~2]的精度,方便了计算。最后进行了数值计算,给出在不同介质中以常速度侧向扩展的裂缝的强度因子随侧向扩展速度和转向角的变化关系。
There are two parts in this paper :First,the Green' s function method has been used to the propagation of mode Ⅲ crack in an anisotropic medium. The next,a perturbation pro-ceduce is presented which express the propagation of mede Ⅲ crack kinking in an anisotropic medium in terms of a power series of k'π, where k'π is the kinking angle. The precision of the zeroth order approximate solution of the stress intensity factor is up to O[(k'π)2]. Numerical results of the dependence of the stress intensity factor on the propagation velocity and kinking angle k' π are given.
出处
《爆炸与冲击》
EI
CAS
CSCD
北大核心
1992年第2期120-130,共11页
Explosion and Shock Waves
基金
国家自然科学基金
关键词
各向异性
Ⅲ型裂缝
摄动法
anisotropic,mode II-crack ,kinking,perturbation