沿弱界面的Ⅲ型界面裂纹中心区动态扩展问题

A dynamic propagation problem on mode ffl interface crack subjected to homogeneous loads at the central zone along a weak interface

通过复变函数论的方法,对材料的非线性特性下的沿弱界面的Ⅲ型界面裂纹中心区受均布载荷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.应用该法可以迅速地将所论问题转化为Riemann-Hillbert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 mode Ⅲ interface crack subjected to homogeneous loads at the central zone along a weak interface for nonlinear characters of materials was studied. Analytical solutions are obtained by the methods of self-similar functions. The problems dealt with 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.