【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。更多还原

【Abstract】 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.更多还原