Contact between representative rough surfaces

Abstract

A numerical analysis of mechanical frictionless contact between rough self-affine elastic manifolds was carried out. It is shown that the lower cutoff wavenumber in surface spectra is a key parameter controlling the representativity of the numerical model. Using this notion we demonstrate that for representative surfaces the evolution of the real contact area with load is universal and independent of the Hurst roughness exponent. By introducing a universal law containing three constants, we extend the study of this evolution beyond the limit of infinitesimal area fractions.

18 pages, 29 references, 4 figures

References in corpus (3)

• Finite-element analysis of contact between elastic self-affine surfaces
• Interfacial separation between elastic solids with randomly rough surfaces: comparison between theory and numerical techniques
• Elastic contact between self-affine surfaces: Comparison of numerical stress and contact correlation functions with analytic predictions

Cited by in corpus (12)

• When are rough surfaces sticky?
• From infinitesimal to full contact between rough surfaces: evolution of the contact area
• On the accurate computation of the true contact-area in mechanical contact of random rough surfaces
• General contact mechanics theory for randomly rough surfaces with application to rubber friction
• The role of the roughness spectral breadth in elastic contact of rough surfaces
• A Fourier-accelerated volume integral method for elastoplastic contact
• The contact of elastic regular wavy surfaces revisited
• Loading-unloading hysteresis loop of randomly rough adhesive contacts
• Beam-like topologically interlocked structures with hierarchical interlocking
• Elastic shakedown and roughness evolution in repeated elastic-plastic contact
• Disk Harmonics for Analysing Curved and Flat Self-affine Rough Surfaces and the Topological Reconstruction of Open Surfaces
• Evolution of the contact between rough viscoelastic solids after decreasing loads: memory erasure and monotonic increase