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Implementation of Whitehouse's method for calculating properties of self-affine fractal profiles
Halmstad University, School of Business and Engineering (SET), Mechanical Engineering and Industrial Design (MTEK), Functional Surfaces.
Halmstad University, School of Business and Engineering (SET), Mechanical Engineering and Industrial Design (MTEK), Functional Surfaces.ORCID iD: 0000-0001-8058-1252
2008 (English)In: Proceedings of the Institution of mechanical engineers. Part C, journal of mechanical engineering science, ISSN 0954-4062, E-ISSN 2041-2983, Vol. 222, no 8, p. 1547-1550Article in journal (Refereed) Published
Abstract [en]

Many software packages for roughness analysis offer the possibility of calculating the fractal dimension D of surface profiles by techniques, which assume them to be self-similar and therefore uniquely defined by D. However, fractal profiles are not self-similar but self-affine, so that two profiles of quite different roughnesses may share the same fractal dimension. To distinguish between them requires the calculation of an additional scaling factor, the so-called topothesy Λ. Traditionally, D and Λ are derived laboriously from the slope and intercept of the profile's structure function. A quicker and more convenient derivation from standard roughness parameters has been suggested by Whitehouse. Based on this derivation, it is here shown that D and Λ depend on two dimensionless numbers: the ratio of the mean peak spacing to the rms roughness and the ratio of the mean local peak spacing to the sampling interval. Using this approach, values of D and Λ are calculated from the measurements on surface profiles produced by polishing, plateau honing, and various single-point machining processes. Different processes are shown to occupy different regions in D-Λ space, and polisbed surfaces show a relationship between D and Λ, which is independent of the surface material. © IMechE 2008.

Place, publisher, year, edition, pages
London: Sage Publications, 2008. Vol. 222, no 8, p. 1547-1550
Keywords [en]
fractal dimension, surface finish, structure functions, fractal profiles
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hh:diva-2012DOI: 10.1243/09544062JMES938ISI: 000259108100018Scopus ID: 2-s2.0-51449101230Local ID: 2082/2407OAI: oai:DiVA.org:hh-2012DiVA, id: diva2:239230
Available from: 2008-10-06 Created: 2008-10-06 Last updated: 2018-03-23Bibliographically approved

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Thomas, TomRosén, Bengt-Göran

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