【摘要】 采用复变函数论方法,对Ⅰ型裂纹非对称动态扩展解的基本形式进行推导.用自相似函数的方法获得解析解的一般表达式,使问题相应地简化,并具有一定的普遍性.应用该法可以迅速地将所论问题转化为Keldysh-Sedov问题,而这一类问题容易用通常的Muskhelishvili方法解决.利用已获得的解析解和叠加原理,即可求得任意复杂问题的解.更多还原

【Abstract】 By the methods of the theory of complex functions,radical format of solution to asymmetrically dynamic propagation of model Ⅰ crack was deduced.General representations of analytical solutions are obtained by the approaches of self-similar functions.The issues considered become accordingly simple and have definitive catholicity.By application of this method,the problems can be easily transformed into Keldysh-Sedov problems which are facilely resolved by the ways of Muskhelishvili.Utilizing analytical solutions attained and superposition theorem,the solutions of arbitrarily complex problems could be acquired.更多还原