The Archard and the Persson models for elastic contact of rough surfaces are critically assessed for a Weierstrass series profile, finding that they both do not take into account of redistribution of load and interaction effects fully, unless scales are separated enough.
An Assessment of Archard and Persson’s Models for the Elastic Contact of Rough Surfaces
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Ciavarella, M, & Demelio, G. "An Assessment of Archard and Persson’s Models for the Elastic Contact of Rough Surfaces." Proceedings of the STLE/ASME 2003 International Joint Tribology Conference. Contact Mechanics. Ponte Vedra Beach, Florida, USA. October 26–29, 2003. pp. 163-165. ASME. https://doi.org/10.1115/2003-TRIB-0284
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