Article
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Micro- and Nano-Roughness Separation Based on Fractal Analysis
Version 1
: Received: 6 November 2023 / Approved: 6 November 2023 / Online: 7 November 2023 (10:38:56 CET)
A peer-reviewed article of this Preprint also exists.
Czifra, Á.; Ancza, E. Micro- and Nano-Roughness Separation Based on Fractal Analysis. Materials 2024, 17, 292. Czifra, Á.; Ancza, E. Micro- and Nano-Roughness Separation Based on Fractal Analysis. Materials 2024, 17, 292.
Abstract
When describing the tribological behaviour of technical surfaces, the need for full length scale microtopographic characterization often arises. The self-affine of surfaces and the characterization of self-affine by a fractal dimension and its implantation into tribological models are commonly used. The goal of our present work was to determine the frequency range of fractal behaviour of surfaces by analysing the microtopographic measurements of a brake plunger. We also wanted to know if the bifractal and multifractal behaviour can be detected in real machine parts. As a result, we developed a new methodology for determining the fractal range boundaries to separate the nano- and micro-roughness. In order to reach our goals, we used atomic force microscope (AFM) and stylus instrument to provide measurements in wide frequency range (19 nm - 3 mm). As a result of the power spectral density (PSD) based fractal evaluation, it was found that the examined surface could not be characterized by a single fractal dimension and that we developed a methodology for stopping the margin of validity of each fractal dimension, and we also developed a methodology for determining the limits of validity of certain fractal dimensions.
Keywords
roughness; fractal; bifractal; full length scale; microtopograpy; nanoroughness; power spectral density
Subject
Engineering, Mechanical Engineering
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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