On the Fractal Dimension of Rough Surfaces

نویسنده

  • B. N. J. Persson
چکیده

Most natural surfaces and surfaces of engineering interest, e.g., polished or sandblasted surfaces, are self-affine fractal over a wide range of length scales, with the fractal dimension Df 1⁄4 2:15 0:15. We give several examples illustrating this and a simple argument, based on surface fragility, for why the fractal dimension usually is \2.3. A kinetic model of sandblasting is presented, which gives surface topographies and surface roughness power spectra in good agreement with experiments. Keyword Self-affine fractal Surface fragility Fractal dimension Power spectra

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تاریخ انتشار 2014