Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Probabilistic, fractal, and related techniques for analysis of engineering surfaces

Borodich, Feodor ORCID: https://orcid.org/0000-0002-7935-0956, Jin, Xiaoqing and Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559 2020. Probabilistic, fractal, and related techniques for analysis of engineering surfaces. Frontiers in Mechanical Engineering 6 , 64. 10.3389/fmech.2020.00064

[thumbnail of fmech-06-00064.pdf]
Preview
PDF - Published Version
Available under License Creative Commons Attribution.

Download (1MB) | Preview

Abstract

n many engineering fields surface topography is of crucial importance solving problems offriction and other problems of tribology. A review of mathematical approaches for descriptionof topography of engineering surfaces is presented. Firstly, we give a brief introduction to someof statistical parameters used for description of surface roughness. It is argued that althoughsome of these parameters may be quite useful for specific engineering problems, a set of finitenumbers of parameters cannot describe contact properties of rough surfaces. Then we discussvarious models of surface roughness based on Gaussian models of the asperity heights.The results of application of various modern tests of normality for checking whether thedistribution of the asperity heights is Gaussian, are presented. Further fractal models of rough-ness are discussed. Using fractal parametric-homogeneous (PH) surfaces, it is demonstratedthat tribological properties of a rough surface cannot be characterized just by the fractaldimension of the surface. It is also shown that models based solely on the power-spectraldensity function (PSDF) are quite similar to fractal models and these models do not reflecttribological properties of surfaces. In particular, it is demonstrated that different profiles mayhave the same PSDF.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Engineering
Additional Information: This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY)
ISSN: 2297-3079
Date of First Compliant Deposit: 4 July 2020
Date of Acceptance: 2 July 2020
Last Modified: 05 May 2023 13:30
URI: https://orca.cardiff.ac.uk/id/eprint/133062

Actions (repository staff only)

Edit Item Edit Item

Downloads

Downloads per month over past year

View more statistics