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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Vydané v:	Tribology letters Ročník 71; číslo 1; s. 11
Hlavní autori:	Faraji, Mostafa, Seitz, Alexander, Meier, Christoph, Wall, Wolfgang A.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York Springer US 01.03.2023 Springer Nature B.V
Predmet:	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 Asperity contact Averaged Reynolds equation Mixed lubrication Large deformation
ISSN:	1023-8883, 1573-2711
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Abstract	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.
AbstractList	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.
ArticleNumber	11
Author	Seitz, Alexander Wall, Wolfgang A. Faraji, Mostafa Meier, Christoph
Author_xml	– sequence: 1 givenname: Mostafa surname: Faraji fullname: Faraji, Mostafa organization: Institute for Computational Mechanics, Technical University of Munich – sequence: 2 givenname: Alexander surname: Seitz fullname: Seitz, Alexander organization: Institute for Computational Mechanics, Technical University of Munich – sequence: 3 givenname: Christoph surname: Meier fullname: Meier, Christoph email: christoph.anton.meier@tum.de organization: Institute for Computational Mechanics, Technical University of Munich – sequence: 4 givenname: Wolfgang A. surname: Wall fullname: Wall, Wolfgang A. organization: Institute for Computational Mechanics, Technical University of Munich
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SubjectTerms	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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Title	A Mortar Finite Element Formulation for Large Deformation Lubricated Contact Problems with Smooth Transition Between Mixed, Elasto-Hydrodynamic and Full Hydrodynamic Lubrication
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