| CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
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A Model for Fractal Dimension of Rough Surfaces |
| LI Jian-Hua1, YU Bo-Ming2, ZOU Ming-Qing2 |
| 1Biomedical Materials and Engineering Research Center, Wuhan University of Technology, Wuhan 4300702School of Physics, Huazhong University of Science and Technology, Wuhan 430074 |
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| Cite this article: |
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LI Jian-Hua, YU Bo-Ming, ZOU Ming-Qing 2009 Chin. Phys. Lett. 26 116101 |
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Abstract 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 λmin/λmax of the minimum to the maximal base diameter.
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| Keywords:
61.43.Hv
81.65.Cf
47.55.Mh
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Received: 26 March 2009
Published: 30 October 2009
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| PACS: |
61.43.Hv
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(Fractals; macroscopic aggregates (including diffusion-limited Aggregates))
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81.65.Cf
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(Surface cleaning, etching, patterning)
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47.55.Mh
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