轴对称断裂动力学问题的自相似解

Self-similar Solutions on Axially Symmetric Fracture Elastodynamics Problems

复变函数论的方法，对复合材料的圆盘状裂纹的轴对称性扩展问题进行研究。采用自相 似方法进行求解，导出解析解的一般表示。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。

By the theory of complex functions, a penny-shaped crack on axially symmetric propagating problems for composite materials was studied. The general representations of the analytical solutions are reduced by the ways of self-similarity. The problems dealt with can be transformed into Riemann-Hilbert problems and their closed analytical solutions are ob- tained rather simple by this method.