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Interfacial separation between elastic solids with randomly rough surfaces: Comparison between theory and numerical techniques
Authors:A. Almqvist,C. Campañ  á  ,B.N.J. Persson
Affiliation:a Division of Machine Elements, Luleå University of Technology, 971 87 Luleå, Sweden
b IFF, FZ-Jülich, 52425 Jülich, Germany
c University of Ottawa, Department of Chemistry, Ottawa, Canada K1N 6N5
d Sumy State University, 2 Rimskii-Korsakov Str., 40007 Sumy, Ukraine
Abstract:We study the distribution of interfacial separations at the contact region between two elastic solids with randomly rough surfaces. An analytical expression is derived for the distribution of interfacial separations using Persson's theory of contact mechanics, and is compared to numerical solutions obtained using (a) a half-space method based on the Boussinesq equation, (b) Green's function molecular dynamics technique and (c) smart-block classical molecular dynamics. Overall, we find good agreement between all the different approaches.
Keywords:Contact mechanics   Randomly rough surfaces   Elastic solids   Pressure distribution   Interfacial separation
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