Abstract
The contact of a rigid body with nominally flat rough surface and an elastic half-space is considered. To solve the contact problem, the Greenwood-Williamson statistical model and the localization principle are used. The developed contact model allows us to investigate the surface approach and the real contact area with taking into account the asperities interaction. It is shown that the mutual influence of asperities changes not only contact characteristics at the macroscale, but also the contact pressure distribution at the microscale. As follows from the results, the inclusion in the contact model of the effect of the mutual influence of asperities is especially significant for studying the real contact area, as well as the contact characteristics at high applied loads. The results calculated according to the proposed approach are in a good agreement with the experimentally observed effects, i.e., the real contact area saturation and the additional compliance exhaustion.
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This study was supported the Russian Science Foundation (No. 22-49-02010).
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The authors have no competing interest to declare that are relevant to the content of this article. The author Irina G. GORYACHEVA is the Editorial Board Member of this journal.
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Anastasiya A. YAKOVENKO. She is Doctor of Philosophy (Ph.D.) in Physics and Mathematics. She obtained her bachelor, master, and Ph.D. degrees at Moscow Institute of Physics and Technology (MIPT), Russia. From 2015, she works in the Tribology Laboratory of Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences (RAS). Her research interest is discrete contact problems. In particular, she is interested in the modeling of contact interaction of rough bodies with different mechanical properties. She was awarded the RAS Medal for students in the field of mechanical engineering, mechanics and control processes (2019).
Irina G. GORYACHEVA. She is a Professor and Head of the Tribology Laboratory of Ishlinsky Institute for Problems in Mechanics RAS, academician of RAS. She is the author of more than 200 papers and 8 books in the field of contact mechanics and tribology and has developed analytical methods of solutions of contact problems for deformable bodies with various surface microgeometries taking into account the effects of mutual influence of contact spots, wear, adhesion, surface films and layers, and inhomogeneity of material properties. She was awarded the State Prize for young researchers in the field of science and technology (1979), the Russian Government Prize in the field of science and technology (2007), and the World Tribology Gold Medal (2009). She is the President of the Russian Tribology Council (from 2003 till now) and the Chair of the Russian National Committee of Theoretical and Applied Mechanics (from 2011 till now).
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Yakovenko, A.A., Goryacheva, I.G. Analysis of the discrete contact characteristics based on the Greenwood-Williamson model and the localization principle. Friction 12, 1042–1056 (2024). https://doi.org/10.1007/s40544-023-0849-0
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DOI: https://doi.org/10.1007/s40544-023-0849-0