分形在混凝土损伤表面的应用及其分数维的计算方法探讨

Application of fractal theory in concrete destructive surfaces and discussion of fractal dimension calculating methods

本文总结分形理论在表征和分析混凝土断裂、磨蚀等损伤表面中的应用,重点讨论混凝土损伤表面作为一种分形曲面,其分数维的几种计算方法和各自的优缺点,同时介绍了分形在混凝土损伤表面具体应用中的两个实例。

In the paper, the application of fractal theory to signify and analyze the destructive surfaces of the fractured concrete or the wearied concrete was introduced. Taking the destructive surface of concrete as a sort of fractal surface, the author discussed its fraetal dimension calculating methods and the corresponding advantages and disadvantages. Moreover, two application instances of fractal theory to the fractured concrete surface were also given.