表面形貌的分形描述及其评定

 通过修正的表面形貌高斯随机分形模型从理论上推导出支承长度率曲线与分形维数有关，而形貌系数对该曲线的影响较小，从实验上验证了这一结论。得出，分形维数提供了表面接触承载能力的单值定量尺度，是比支承长度率曲线更简洁而实用的参数。

A FRACTAL CHARACTERIZATION OF SURFACE TOPOGRAPHY AND ITS EVALUATION

A modified Gaussian fractal model for surface topography is shown to predict a primary relationship between fractal dimension and the bearing length ratio curve,while topothesy affects this curve to a smaller degree.Fractal dimension is scale invariant,and it yields a robust numerical measure of surface topography,no matter what the instrument resolution and sampling length.It appears that fractal geometry may provide a more reliable and natural method for analyzing surface topography than do conventional methods.That is to say , fractal dimension provides a simple quantitative measure of the contact support ability of surface ,and it is more concise and practical than the bearing length ratio curve.