2016
DOI: 10.1177/1350650116641017
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Topology simulation and contact mechanics of bifractal rough surfaces*

Abstract: A numerical method to generate bifractal surfaces due to a modification of the slope of the power spectral density function in the low-or high-frequency range is proposed. The method has been applied to simulate real surfaces of Ginkgo Biloba leaf scanned at two different magnifications by matching the corresponding experimental power spectral densities. Slight differences have been found in the statistical distributions of the asperity heights and curvatures for the lowest magnification that had marginal infl… Show more

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Cited by 14 publications
(7 citation statements)
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“…Figure 4b shows a variation in the slope of the PSD evaluated in this zone. Higher slope in the high frequency range usually is associated with a texturing of the surface at the nano-scale level as previously reported [35]. This so called bifractality suggests two different level of organization in the surface and the shift between the two regimes is located in correspondence of 1 nm lenghtscale.…”
Section: Morphological Characterizationsupporting
confidence: 73%
“…Figure 4b shows a variation in the slope of the PSD evaluated in this zone. Higher slope in the high frequency range usually is associated with a texturing of the surface at the nano-scale level as previously reported [35]. This so called bifractality suggests two different level of organization in the surface and the shift between the two regimes is located in correspondence of 1 nm lenghtscale.…”
Section: Morphological Characterizationsupporting
confidence: 73%
“…Theoretically, the FFT filtering method 5,[26][27][28][29][30] and the SRM 21,22,39 have the same aim: generating random series with the desired PSD. They construct complex Fourier coefficients, where the amplitude terms follow the desired PSD.…”
Section: Fft Filtering Methods and Srmmentioning
confidence: 99%
“…It turned out that the FFT filtering method reproduces the power-law PSD better than the other two methods. Müser et al, 9 Borri and Paggi, 30 and Zhang et al 15 used the FFT filtering method as well. Besides the FFT filtering method and the W-M function, the RMD is another common choice in studies, for example, Pei et al, 31 Bonari et al, 32 and Vakis et al 33 simulated fractal surfaces by the RMD for contact analysis.…”
Section: Introductionmentioning
confidence: 99%
“…It starts from the lower frequency, which is inversely correlated to the scan length q L = 2π L , up to a high measured frequency, related to the short-distance cut-off wavevector, defined by q s = 2π ∆ where ∆ refers to the sampling length. In fact, the radial PSD has a shape similar to the bi-fractal surfaces defined in [51]. The difference lies in the definition of the slopes of the linear regions.…”
Section: Pad Surface Characterizationmentioning
confidence: 95%