Self-Affine Elastic Contacts: Percolation and Leakage

Abstract

We study fluid flow at the interfaces between elastic solids with randomly rough, self-affine surfaces. We show by numerical simulation that elastic deformation lowers the relative contact area at which contact patches percolate in comparison to traditional approaches to seals. Elastic deformation also suppresses leakage through contacts even far away from the percolation threshold. Reliable estimates for leakage can be obtained by combining Persson's contact mechanics theory with a slightly modified version of Bruggeman's effective-medium solution of the Reynolds equation.

4 pages, 3 figures

References in corpus (6)

• On the nature of surface roughness with application to contact mechanics, sealing, rubber friction and adhesion
• Contact mechanics: relation between interfacial separation and load
• Theory of the leak-rate of seals
• Elastic contact between self-affine surfaces: Comparison of numerical stress and contact correlation functions with analytic predictions
• On the elastic energy and stress correlation in the contact between elastic solids with randomly rough surfaces
• Interfacial separation between elastic solids with randomly rough surfaces: comparison of experiment with theory

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