摘要
通过复变函数论的方法,对Ⅲ型界面裂纹表面受变载荷Pxmtn作用下的动态扩展问题进行了研究．采用自相似函数的方法可以获得解析解的一般表达式．应用该法可以很容易地将所讨论的问题转化为Riemann- Hilbert问题,然后应用Muskhelishvili方法就可以较简单地得到问题的闭合解．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．
By the method of complex functions, self-similar solutions are obtained for a mode Ⅲ interface crack subjected to variable loadings Px^mt^n. The problems discussed can be transformed into Riemann-Hilbert problems by this method, then analytical solutions are obtained by self-similar functions. Using those solutions and the superposition theorem, the solution to arbitrarily complex problems can be obtained.
出处
《力学学报》
EI
CSCD
北大核心
2006年第2期192-198,共7页
Chinese Journal of Theoretical and Applied Mechanics
关键词
复变函数论
Ⅲ型界面裂纹
变载荷Px^mt^n
自相似函数
解析解
complex function, mode Ⅲ interface crack, variable loading Px^mt^n self-similar function, analytical solution
