Contact mechanics for randomly rough surfaces

Persson, B. N. J.

doi:10.1016/j.surfrep.2006.04.001

Journal Article

PreJuSER-55236

Contact mechanics for randomly rough surfaces

Persson, B. N. J.FZJ*

2006
Elsevier Science Amsterdam [u.a.]

Surface science reports 61, 201 - 227 (2006) [10.1016/j.surfrep.2006.04.001]

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Please use a persistent id in citations: http://hdl.handle.net/2128/10582 doi:10.1016/j.surfrep.2006.04.001

Abstract: When two solids are squeezed together they will in general not make atomic contact everywhere within the nominal (or apparent) contact area. This fact has huge practical implications and must be considered in many technological applications. In this paper I briefly review the basic theories of contact mechanics. I consider in detail a recently developed contact mechanics theory. I derive boundary conditions for the stress probability distribution function for elastic, elastoplastic and adhesive contact between solids and present numerical results illustrating some aspects of the theory. I analyze contact problems for very smooth polymer (PMMA) and Pyrex glass surfaces prepared by cooling liquids of glassy materials from above the glass transition temperature. I show that the surface roughness which results from the frozen capillary waves can have a large influence on the contact between the solids. The analysis suggests a new explanation for puzzling experimental results [L. Bureau, T. Baumberger, C. Caroli, arXiv:cond-mat/0510232 v1] about the dependence of the frictional shear stress on the load for contact between a glassy polymer lens and flat substrates. I discuss the possibility of testing the theory using numerical methods, e.g., finite element calculations. (c) 2006 Elsevier B.V. All rights reserved.

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