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A Model for Fractal Dimension of Rough Surfaces

Li Jian-Hua1, Yu Bo-Ming2 and Zou Ming-Qing2

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CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES

We report a model for the fractal dimension Ds 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 Ds is expressed as a function of the fractal dimensions D for conic roughness diameter/height and Dp for surface profile, maximum roughness base diameter λmax, the ratio β of conic roughness height to its base radius as well as the ratio λminλmax of the minimum to the maximal base diameter.


PACS

61.43.Hv Fractals; macroscopic aggregates (including diffusion-limited aggregates)

68.37.Hk Scanning electron microscopy (SEM) (including EBIC)

68.35.Ct Interface structure and roughness

Subjects

Surfaces, interfaces and thin films

Condensed matter: structural, mechanical & thermal

Dates

Issue 11 (November 2009)

Received 26 March 2009



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