运动变载荷作用下的非对称Ⅲ型界面裂纹的解析解  

Analytical Solution of Asymmetrical Mode Ⅲ Interface Crack Under the Action of Moving Variable Loads

作　　者：吕念春[1] 程云虹[2] 王云涛[3] 杨鼎宁[4] 程靳[3] 

机构地区：[1]沈阳理工大学,沈阳110168 [2]东北大学,沈阳110006 [3]哈尔滨工业大学,哈尔滨150001 [4]哈尔滨工程大学,哈尔滨150001

出　　处：《应用力学学报》2008年第3期375-379,537,共5页Chinese Journal of Applied Mechanics

基　　金：中国博士后基金资助(2005038199);黑龙江省自然科学基金重点项目(ZJG04-08)

摘　　要：通过复变函数论的方法,对Ⅲ型非对称动态界面裂纹的扩展问题进行了研究。采用自相似函数的途径和利用相应的微分、积分运算,就可以很容易地获得解析解的一般表达式。应用该法可以迅速地将所讨论的问题转化为Riemann-Hilbert问题,并求得了运动变载荷ptn/xn、ptn+1/xn分别作用下Ⅲ型非对称动态界面裂纹解析解。利用这些解并采用叠加原理,就可以求得任意复杂问题的解。Adopting theory of complex functions, the dynamic propagation behaviors of asymmetrical mode Ⅲ interface crack were investigated. The universal representations of analytical solutions are acquired by the technique of self-similar functions and corresponding differential and integral operation. The problems are facilely translated into Riemann-Hilbert ones, and the analytical solutions of asymmetrical mode Ⅲ interface crack under varied moving loads were gained. Superposing the solutions, the discretionally complex problems are expected to be solved.

关 键 词：复变函数 非对称Ⅲ型界面裂纹 动态扩展 自相似函数 解析解 

分 类 号：O346.1[理学—固体力学]