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Coupled couple stress and surface roughness effects on elasto‐hydrodynamic contact
Author(s) -
Nabhani Mohamed,
El Khlifi Mohamed,
Gbehe Ory Serge Tanguy,
BouSaïd Benyebka
Publication year - 2014
Publication title -
lubrication science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.632
H-Index - 36
eISSN - 1557-6833
pISSN - 0954-0075
DOI - 10.1002/ls.1246
Subject(s) - reynolds equation , mechanics , surface roughness , deformation (meteorology) , surface finish , materials science , stress (linguistics) , finite element method , surface stress , displacement (psychology) , surface (topology) , classical mechanics , geometry , mathematical analysis , mathematics , physics , reynolds number , composite material , thermodynamics , turbulence , linguistics , philosophy , psychology , psychotherapist
This paper deals with the combined effects of couple stress and surface roughness to inspect the elasto‐hydrodynamic performance of slider bearing systems. On the basis of the couple stress Stokes theory and homogenisation method, the homogenised generalised Reynolds equation including the slider bearing stationary surface deformation is derived. The total deformation include the deformation of smooth surface, taken into account by the elastic thin layer model, and the deformation of roughness corresponding to a sinusoidal normal displacement on an elastic half space of identical wavelength. The governing equations are discretised by the finite difference method, and the obtained algebraic equations are solved using the iterative overrelaxation Gauss–Seidel technique. The load‐carrying capacity and friction coefficient are presented for transverse, longitudinal and anisotropic roughness patterns for different values of the couple stress parameter in both rigid and deformable cases. The simulation results indicate that the interaction between couple stress, surface roughness and elastic deformation effects is significant. Copyright © 2013 John Wiley & Sons, Ltd.