A Model for Fractal Dimension of Rough Surfaces

  • Received Date: March 25, 2009
  • Published Date: October 31, 2009
  • 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 λminmax of the minimum to the maximal base diameter.
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