A multiscale statistical analysis of rough surfaces and applications to tribology

Borodich, Feodor M. ORCID: https://orcid.org/0000-0002-7935-0956, Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559 and Jin, Xiaoqing 2024. A multiscale statistical analysis of rough surfaces and applications to tribology. Mathematics 12 (12) , 1804. 10.3390/math12121804

PDF - Published Version Available under License Creative Commons Attribution. Download (1MB)

Abstract

Mathematical modelling of surface roughness is of significant interest for a variety of modern applications, including, but not limited to, tribology and optics. The most popular approaches to modelling rough surfaces are reviewed and critically examined. By providing counterexamples, it is shown that approaches based solely on the use of the fractal geometry or power spectral density have many drawbacks. It is recommended to avoid these approaches. It is argued that the surfaces that cannot be distinguished from the original rough surfaces can be synthesised by employing the concept of the representative elementary pattern of roughness (REPR), i.e., the smallest interval (or area) of a rough surface that statistically represents the whole surface. The REPR may be extracted from surface measurement data by the use of the “moving window” technique in combination with the Kolmogorov–Smirnov statistic.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	MDPI
ISSN:	2227-7390
Date of First Compliant Deposit:	5 July 2024
Date of Acceptance:	6 June 2024
Last Modified:	05 Jul 2024 08:30
URI:	https://orca.cardiff.ac.uk/id/eprint/170262

Actions (repository staff only)

Edit Item