不同复合材料界面上的扩展裂纹问题

Propagation Crack Problems in Interfaces Between Dissimilar Composite Materials

采用复变函数方法对不同复合材料界面上的裂纹扩展问题进行了研究.对于任意的自相似指数断裂动力学问题给出了自相似解.应用该法很容易将所论问题转化为Riemann-Hilbert问题,并可以相当简单地得到问题的闭合解,利用该解叠加可得到任意复杂问题的解.

By using the method of complex functions, problems of crack propagating along the interfaces between dissimilar composite materials are investigated. Self-similar solutions are given for fracture dynamics problems of arbitrary index of self-similarity. The problems of Riemann - Hilbert can be formulated very easily by means of this method and their closed solutions are obtained rather simply. In this paper different problems were solved, the solution of an arbitrarily complex problem can be obtained by superposition based on the present solution.