Numerical computation of free boundary problems in elastohydrodynamic lubrication

DOI10.1016/0307-904X(95)00091-WzbMath0851.73058MaRDI QIDQ1913056

Carlos Vázquez, José Durany, Guillermo O. García

Publication date: 2 December 1996

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

biharmonic equationReynolds equationcharacteristicsthin fluid filmscavitation model of Elrod-AdamsHertz equationrolling ball contact problems

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Lubrication theory (76D08)

Related Items (8)

Numerical solution of a 1-d elastohydrodynamic problem in magnetic storage devices ⋮ An elastohydrodynamic coupled problem between a piezoviscous Reynolds equation and a hinged plate model ⋮ Finite element solution of a Reynolds-Koiter coupled problem for the elastic journal-bearing ⋮ Mathematical analysis of some new Reynolds-rod elastohydrodynamic models ⋮ Elrod-Adams cavitation model for a new nonlinear Reynolds equation in piezoviscous hydrodynamic lubrication ⋮ A new more consistent Reynolds model for piezoviscous hydrodynamic lubrication problems in line contact devices ⋮ A finite strain contact model for mixed lubricated surfaces in forming processes ⋮ HOMOGENIZATION OF A NONLOCAL ELASTOHYDRODYNAMIC LUBRICATION PROBLEM: A NEW FREE BOUNDARY MODEL

Cites Work

• Existence and uniqueness for nonlinear Reynolds equations
• Existence of solutions to the Reynolds equation of elastohydrodynamic lubrication
• A note on some mathematical studies on elastohydrodynamic lubrication
• Theory of variational inequalities with applications to problems of flow through porous media
• Duality methods for solving variational inequalities
• Numerical solution of cavitation problems in lubrication
• On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
• Contact Mechanics
• Numerical Methods for the First Biharmonic Equation and for the Two-Dimensional Stokes Problem
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• Remarks on the Reynolds problem of elastohydrodynamic lubrication
• Existence of a solution for a lubrication problem in elastic journal‐bearing devices with thin bearing
• Mathematical analysis of an elastohy-drodynamic lubrication problem with cavitation
• A Quasi-Variational Inequality Arising in Elastohydrodynamics
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