HOMOGENIZATION OF A NONLOCAL ELASTOHYDRODYNAMIC LUBRICATION PROBLEM: A NEW FREE BOUNDARY MODEL

DOI10.1142/S0218202505001023zbMath1080.74041OpenAlexW2031861480MaRDI QIDQ3370187

Sébastien Martin, Guy Bayada, Carlos Vázquez

Publication date: 7 February 2006

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202505001023

zbMATH Keywords

two-scale convergenceReynolds-Hertz model

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Lubrication theory (76D08) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (5)

Performance of truncated surface asperities in elastohydrodynamic lubrication ⋮ Homogenization of the layer-structured dam problem with isotropic permeability ⋮ On a variational inequality on elasto-hydrodynamic lubrication ⋮ On the Reynolds Equation and the Load Problem in Lubrication: Literature Review and Mathematical Modelling ⋮ Numerical upscaling of the free boundary dam problem in multiscale high-contrast media

Cites Work

• The transition between the Stokes equations and the Reynolds equation: A mathematical proof
• Characteristics method for the formulation and computation of a free boundary cavitation problem
• Periodic unfolding and homogenization
• Numerical computation of free boundary problems in elastohydrodynamic lubrication
• TWO-SCALE HOMOGENIZATION STUDY OF A REYNOLDS-ROD ELASTOHYDRODYNAMIC MODEL
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• On the one-dimensional nonlinear elastohydrodynamic lubrication
• A mixed dirichlet-neumann problem for a nonlinear reynolds equation in elastohydrodynamic piezoviscous lubrication
• A Quasi-Variational Inequality Arising in Elastohydrodynamics
• Numerical simulation of a lubricated Hertzian contact problem under imposed load.

This page was built for publication: HOMOGENIZATION OF A NONLOCAL ELASTOHYDRODYNAMIC LUBRICATION PROBLEM: A NEW FREE BOUNDARY MODEL