Stiffness of Contacts Between Rough Surfaces

Abstract

The effect of self-affine roughness on solid contact is examined with molecular dynamics and continuum calculations. The contact area and normal and lateral stiffnesses rise linearly with the applied load, and the load rises exponentially with decreasing separation between surfaces. Results for a wide range of roughnesses, system sizes and Poisson ratios can be collapsed using Persson's contact theory for continuous elastic media. The atomic scale response at the interface between solids has little affect on the area or normal stiffness, but can greatly reduce the lateral stiffness. The scaling of this effect with system size and roughness is discussed.

4 pages, 3 figures

References in corpus (6)

• Finite-element analysis of contact between elastic self-affine surfaces
• Contact mechanics: relation between interfacial separation and load
• Elastic contact between self-affine surfaces: Comparison of numerical stress and contact correlation functions with analytic predictions
• Molecular dynamics study of contact mechanics: contact area and interfacial separation from small to full contact
• 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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