A Model for Fractal Dimension of Rough Surfaces

作者:Li Jian-Hua*; Yu Bo-Ming; Zou Ming-Qing
来源:Chinese Physics Letters, 2009, 26(11): 116101.
DOI:10.1088/0256-307x/26/11/116101

摘要

We report a model for the fractal dimension D-s of rough surfaces based on the fractal distribution of roughness elements on surfaces and the fractal character of surface profiles. The proposed model for the fractal dimension D-s is expressed as a function of the fractal dimensions D for conic roughness diameter/height and D-p for surface profile, maximum roughness base diameter lambda(max), the ratio beta of conic roughness height to its base radius as well as the ratio lambda(min)/lambda(max) of the minimum to the maximal base diameter.

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