Effect of Non-Linear Properties of Intermediate Layer on Sliding Contact of Homogeneous and Coated Elastic Solids

Lubrication in the contact area can be considered as a viscoelastic layer, especially in the presence of particles in it, or under conditions of low temperatures. The properties of this layer are often non-linear, in particular, they depend on local pressure. The paper presents a formulation and num...

Full description

Bibliographic Details
Main Authors: Elena V. Torskaya, Fedor I. Stepanov
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Lubricants
Subjects:
Online Access:https://www.mdpi.com/2075-4442/11/8/333
_version_ 1797584018311479296
author Elena V. Torskaya
Fedor I. Stepanov
author_facet Elena V. Torskaya
Fedor I. Stepanov
author_sort Elena V. Torskaya
collection DOAJ
description Lubrication in the contact area can be considered as a viscoelastic layer, especially in the presence of particles in it, or under conditions of low temperatures. The properties of this layer are often non-linear, in particular, they depend on local pressure. The paper presents a formulation and numerical-analytical method for solving the contact problem in the presence of viscoelastic layers, the compliance of which depends on the applied pressure and is included in the formulation as the corresponding operator. The layer is homogeneous or coated elastic half-space. For the selected type of operator, the influence of parameters, which characterize the nonlinearity of the model, on the distribution of contact pressure and the coefficient of friction due to hysteresis losses was analyzed. It is shown that for the nonlinear model, the maximum contact pressures are higher, and the friction coefficient is lower than for the linear model with constant compliance. The effect of non-linearity for a wide range of sliding velocities is considered. An analysis of principal shear and tensile-compressive stresses for a homogeneous elastic half-space and for a coating, in particular, for a coating-substrate interface, was also carried out.
first_indexed 2024-03-10T23:47:16Z
format Article
id doaj.art-2fb8788d3372446db5141a3657e4886e
institution Directory Open Access Journal
issn 2075-4442
language English
last_indexed 2024-03-10T23:47:16Z
publishDate 2023-08-01
publisher MDPI AG
record_format Article
series Lubricants
spelling doaj.art-2fb8788d3372446db5141a3657e4886e2023-11-19T01:56:03ZengMDPI AGLubricants2075-44422023-08-0111833310.3390/lubricants11080333Effect of Non-Linear Properties of Intermediate Layer on Sliding Contact of Homogeneous and Coated Elastic SolidsElena V. Torskaya0Fedor I. Stepanov1Ishlinsky Institute for Problems in Mechanics RAS, 119526 Moscow, RussiaIshlinsky Institute for Problems in Mechanics RAS, 119526 Moscow, RussiaLubrication in the contact area can be considered as a viscoelastic layer, especially in the presence of particles in it, or under conditions of low temperatures. The properties of this layer are often non-linear, in particular, they depend on local pressure. The paper presents a formulation and numerical-analytical method for solving the contact problem in the presence of viscoelastic layers, the compliance of which depends on the applied pressure and is included in the formulation as the corresponding operator. The layer is homogeneous or coated elastic half-space. For the selected type of operator, the influence of parameters, which characterize the nonlinearity of the model, on the distribution of contact pressure and the coefficient of friction due to hysteresis losses was analyzed. It is shown that for the nonlinear model, the maximum contact pressures are higher, and the friction coefficient is lower than for the linear model with constant compliance. The effect of non-linearity for a wide range of sliding velocities is considered. An analysis of principal shear and tensile-compressive stresses for a homogeneous elastic half-space and for a coating, in particular, for a coating-substrate interface, was also carried out.https://www.mdpi.com/2075-4442/11/8/333contact problemcoatingviscoelastic layerstressesnonlinear Maxwell model
spellingShingle Elena V. Torskaya
Fedor I. Stepanov
Effect of Non-Linear Properties of Intermediate Layer on Sliding Contact of Homogeneous and Coated Elastic Solids
Lubricants
contact problem
coating
viscoelastic layer
stresses
nonlinear Maxwell model
title Effect of Non-Linear Properties of Intermediate Layer on Sliding Contact of Homogeneous and Coated Elastic Solids
title_full Effect of Non-Linear Properties of Intermediate Layer on Sliding Contact of Homogeneous and Coated Elastic Solids
title_fullStr Effect of Non-Linear Properties of Intermediate Layer on Sliding Contact of Homogeneous and Coated Elastic Solids
title_full_unstemmed Effect of Non-Linear Properties of Intermediate Layer on Sliding Contact of Homogeneous and Coated Elastic Solids
title_short Effect of Non-Linear Properties of Intermediate Layer on Sliding Contact of Homogeneous and Coated Elastic Solids
title_sort effect of non linear properties of intermediate layer on sliding contact of homogeneous and coated elastic solids
topic contact problem
coating
viscoelastic layer
stresses
nonlinear Maxwell model
url https://www.mdpi.com/2075-4442/11/8/333
work_keys_str_mv AT elenavtorskaya effectofnonlinearpropertiesofintermediatelayeronslidingcontactofhomogeneousandcoatedelasticsolids
AT fedoristepanov effectofnonlinearpropertiesofintermediatelayeronslidingcontactofhomogeneousandcoatedelasticsolids