Ⅲ型裂纹面受双重载荷作用下的动态扩展问题

A dynamic propagation problem on the edges of mode Ⅲ crack subjected to superimpose loads

通过复变函数论的方法,对材料的非线性特性下的Ⅲ型裂纹面受双重载荷作用下的动态扩展问题进行研究.采用自相似函数的方法可以获得解析解.应用该法可以将问题转化为R iem ann-H ilbert问题,并可以相当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 theory of complex functions, A dynamic propagation problem on the edges of the mode Ⅲ crack subjected to superimpose loads for nonlinear characters of materials was studied. Analytical solutions are attained by the methods of self-similar functions. The problems investigated can be transformed into Riemann -Hilbert problems and their closed solutions are obtained rather simple by this method. After those solutions were utilized by superposition theorem, the solutions of arbitrary complex problems could be attained.