Percolation and Reynolds flow in elastic contacts of isotropic and anisotropic, randomly rough surface

Abstract

In this work, we numerically study the elastic contact between isotropic and anisotropic, rigid, randomly rough surfaces and linearly elastic counterfaces as well as the subsequent Reynolds flow through the gap between the two contacting solids. We find the percolation threshold to depend on the fluid-flow direction when the Peklenik number indicates anisotropy unless the system size clearly exceeds the roll-off wave length parallel to the easy flow direction. A critical contact area near 0.415 is confirmed. Heuristically corrected effective-medium treatments satisfactorily provide Reynolds fluid-flow conductances, e.g., for isotropic roughness, we identify accurate closed-form expressions, which only depend on the mean gap and the relative contact area.

11 pages, 7 figures, some have subfigures

References in corpus (4)

• Quantitative characterization of surface topography using spectral analysis
• Contact mechanics: relation between interfacial separation and load
• On the elastic energy and stress correlation in the contact between elastic solids with randomly rough surfaces
• Contact mechanics of and Reynolds flow through saddle points: On the coalescence of contact patches and the leakage rate through near-critical constrictions