反平面动态扩展裂纹问题的研究

Dynamic propagating crack problems Under Anti-Plane State

应用复变函数论 ,对反平面动态扩展裂纹问题进行了研究。通过自相似函数的方法可以获得若干问题的解析解。应用该法可以迅速地将所论问题转化为Riemann Hilbert问题 ,并可以相当简单地得到问题的闭合解。通过叠加原理利用这些解 ,就可以求得任意复杂问题的解。

By employing theory of complex functions, dynamic propagating crack problems under anti-plane was solved. The analytical solutions of some problems can be obtained with the method of self-similar functions. The problems were easily transformed into Riemann-Hilbert problems and the closed solutions were attained rather simply with this method. And the solutions of arbitrarily complex problems were obtained via the superposition of the mentioned solutions.