Ⅲ型裂纹非对称动态扩展解的基本形式

摘要

By the approaches of the theory of complex functions, rudimental modality of solution of asymmetrically dynamic extension of mode Ⅲ crack was deducted. Universal expressions of analytical solutions are acquired by the measures of self-similar functions, and the problems become reasonably straightforward and have determinative catholicity. By application of this means, the problems researched can be readily translated into Keldysh-Sedov problems which are facilely settled by Muskhelishvili's technique. Making use of analytical solutions gained and superposition principle, the solutions of discretionarily intricate problems could be attained.%通过复变函数论的方法,对Ⅲ型裂纹非对称动态扩展解的基本形式进行推导.采用自相似函数的途径可获得解析解的一般表达式,使得问题相应地简化,并具有一定的普遍性.应用该法可迅速地将所讨论的问题转化为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,可求得任意复杂问题的解.