Homogenization of a nonlocal elastohydrodynamic lubrication problem: a new free boundary model - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2004

Homogenization of a nonlocal elastohydrodynamic lubrication problem: a new free boundary model

Abstract

The present paper deals with the homogenization of a lubrication problem, using two-scale convergence techniques and periodic unfolding methods. We study in particular the Reynolds-Hertz model, which takes into account elastohydrodynamic deformations of the upper surface, when highly oscillating roughness effects occur. The difficulty arises when considering cavitation free boundary phenomena, leading to highly nonlinear and nonlocal problems.
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Dates and versions

hal-00008081 , version 1 (20-08-2005)
hal-00008081 , version 2 (15-02-2006)

Identifiers

  • HAL Id : hal-00008081 , version 2

Cite

Guy Bayada, Sébastien Martin, Carlos Vazquez. Homogenization of a nonlocal elastohydrodynamic lubrication problem: a new free boundary model. 2004. ⟨hal-00008081v2⟩
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