A Mortar Finite Element Formulation for Large Deformation Lubricated Contact Problems with Smooth Transition Between Mixed, Elasto-Hydrodynamic and Full Hydrodynamic Lubrication

This work proposes a novel model and numerical formulation for lubricated contact problems describing the mutual interaction between two deformable 3D solid bodies and an interposed fluid film. The solid bodies are consistently described based on nonlinear continuum mechanics allowing for finite def...

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Bibliographic Details
Published in:Tribology letters 2023-02, Vol.71 (1), p.11, Article 11
Main Authors: Faraji, Mostafa, Seitz, Alexander, Meier, Christoph, Wall, Wolfgang A.
Format: Article
Language:English
Subjects:
Approximation
Chemistry and Materials Science
Continuum mechanics
Corrosion and Coatings
Deformation
Elastic deformation
Elastohydrodynamic lubrication
Finite element method
Formability
Lubricants & lubrication
Lubrication
Materials Science
Mechanics
Mortars (material)
Nanotechnology
Original Paper
Physical Chemistry
Reynolds equation
Surfaces and Interfaces
Theoretical and Applied Mechanics
Thin Films
Tribology
Two dimensional flow
Viscosity
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Summary:This work proposes a novel model and numerical formulation for lubricated contact problems describing the mutual interaction between two deformable 3D solid bodies and an interposed fluid film. The solid bodies are consistently described based on nonlinear continuum mechanics allowing for finite deformations and arbitrary constitutive laws. The fluid film is modelled as a quasi-2D flow problem governed by the (thickness-)averaged Reynolds equation. In contrast to existing approaches, the proposed model accounts for the co-existence of frictional contact tractions and hydrodynamic fluid tractions at every local point on the contact surface of the interacting bodies and covers the entire range of lubrication in one unified modelling framework with smooth transition between these different regimes. From a physical point of view, this approach can be considered as a model for the elastic deformation of asperities on the lubricated contact surfaces. The finite element method is applied for spatial discretization of the 3D solid-mechanical problems and the 2D interface effects, consisting of the averaged Reynolds equation governing the fluid film and the non-penetration constraint of the mechanical contact problem. A consistent and accurate model behavior is demonstrated by studying several challenging benchmark test cases.
ISSN:1023-8883
1573-2711
DOI:10.1007/s11249-022-01682-4