中文摘要：

通过对铜基复合材料表面形貌的分析和研究,利用分形统计方法,对表征微凸体的特征参数进行分布规律讨论,结合蒙特卡罗方法和分形理论建立了表征微凸体大小的特征参数的数学模型,讨论了分形插值理论中迭代函数系统（IFS）的构造,提出了易于计算机实现的摩擦材料表面形貌模拟算法.同时,对表征微凸体特征的模拟数据进行非参数假设检验,检验结果表明这种模拟摩擦材料表面形貌的方法是可行的.

英文摘要：

Through analysis and research on the surface topography of reinforced copper matrix composite materials,taking advantage of fractal statistical method to discuss distribution law about characteristics parameter which symbolizes the asperity,combining Monte-Carlo method with fractal theory to set up mathematics model of characteristics parameter which symbolizes size of asperity,talking about the construction of iterated function system in fractal interpolated theory a easy realizable friction materials surface topography simulation algorithm was put forward At the same time,by nonparameter hypothesis test to check the simulation data of symbol asperity characteristics,the inspection results indicate the simulation method,which was used on the surface topography of friction material is feasible and effective And on the basis,more precise threedimensional simulation of friction materials surface topography can be get by using of fractal interpolated theory.