Contact area of rough spheres: Large scale simulations and simple scaling laws
arXiv:1508.02154 · doi:10.1063/1.4950802
Abstract
We use molecular simulations to study the nonadhesive and adhesive atomic-scale contact of rough spheres with radii ranging from nanometers to micrometers over more than ten orders of magnitude in applied normal load. At the lowest loads, the interfacial mechanics is governed by the contact mechanics of the first asperity that touches. The dependence of contact area on normal force becomes linear at intermediate loads and crosses over to Hertzian at the largest loads. By combining theories for the limiting cases of nominally flat rough surfaces and smooth spheres, we provide parameter-free analytical expressions for contact area over the whole range of loads. Our results establish a range of validity for common approximations that neglect curvature or roughness in modeling objects on scales from atomic force microscope tips to ball bearings.
2 figures + Supporting Material
References in corpus (5)
- On the nature of surface roughness with application to contact mechanics, sealing, rubber friction and adhesion
- When are rough surfaces sticky?
- From infinitesimal to full contact between rough surfaces: evolution of the contact area
- 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
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