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Characterization of the surface roughness of sand particles using an advanced fractal approach

Baudet, BA; Yang, H; Yao, T; (2016) Characterization of the surface roughness of sand particles using an advanced fractal approach. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , 472 (2194) , Article 20160524. 10.1098/rspa.2016.0524. Green open access

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Abstract

The surface roughness of soil grains affects the mechanical behaviour of soils, but the characterization of real soil grain roughness is still limited in both quantity and quality. A new method is proposed, which applies the power spectral density (PSD), typically used in tribology, to optical interferometry measurements of soil grain surfaces. The method was adapted to characterize the roughness of soil grains separately from their shape, allowing the scale of the roughness to be determined in the form of a wavevector range. The surface roughness can be characterized by a roughness value and a fractal dimension, determined based on the stochastic formation process of the surface. When combined with other parameters, the fractal dimension provides additional information about the surface structure and roughness to the value of roughness alone. Three grain sizes of a quarzitic sand were tested. The parameters determined from the PSD analysis were input directly into a Weierstrass–Mandelbrot function to reconstruct successfully a fractal surface.

Type: Article
Title: Characterization of the surface roughness of sand particles using an advanced fractal approach
Open access status: An open access version is available from UCL Discovery
DOI: 10.1098/rspa.2016.0524
Publisher version: http://dx.doi.org/10.1098/rspa.2016.0524
Language: English
Additional information: Copyright © 2016 The Author(s). Published by the Royal Society.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Civil, Environ and Geomatic Eng
URI: https://discovery.ucl.ac.uk/id/eprint/1519822
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