Viscoelastic Contact Modelling: Application to the Finite Length Line Contact

The design of machine elements made by viscoelastic matrix can be improved by numerical analysis. The solution of the viscoelastic contact problem with prescribed geometry is difficult to obtain because (1) both contact area and pressure distribution are a priori unknown, and (2) the contact paramet...

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Main Author: S. Spinu
Format: Article
Language:English
Published: University of Kragujevac 2018-12-01
Series:Tribology in Industry
Subjects:
Online Access:http://www.tribology.rs/journals/2018/2018-4/2018-4-03.html
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author S. Spinu
author_facet S. Spinu
author_sort S. Spinu
collection DOAJ
description The design of machine elements made by viscoelastic matrix can be improved by numerical analysis. The solution of the viscoelastic contact problem with prescribed geometry is difficult to obtain because (1) both contact area and pressure distribution are a priori unknown, and (2) the contact parameters keep changing with time, together with the compliance of the viscoelastic material. These difficulties are overcome in this paper by conducting numerical analysis based on both spatial and temporal model discretization. The viscoelastic contact process simulation is achieved by computing a series of subsequent contact states, the current state depending on the entire contact history. In this manner, the memory effect of the viscoelastic material is accounted for. The numerical predictions agree well with the classic solution of the spherical contact undergoing step loading. The history of pressure distribution and modification of contact area in the finite length line contact between a rigid profiled roller and a polymethyl methacrylate viscoelastic half-space are obtained. The case when the normal force is applied eccentrically in the longitudinal direction, leading to a tilting moment, is also considered.
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spelling doaj.art-6ca3941834d94e0581b2182d7802235d2022-12-21T22:23:45ZengUniversity of KragujevacTribology in Industry0354-89962217-79652018-12-0140453855110.24874/ti.2018.40.04.03Viscoelastic Contact Modelling: Application to the Finite Length Line ContactS. Spinu0Department of Mechanics and Technologies, Stefan cel Mare University of Suceava, 13th University Street, 720229, Suceava, Romania; Integrated Center for Research, Development and Innovation in Advanced Materials, Nanotechnologies, and Distributed Systems for Fabrication and Control (MANSiD), Stefan cel Mare University, Suceava, RomaniaThe design of machine elements made by viscoelastic matrix can be improved by numerical analysis. The solution of the viscoelastic contact problem with prescribed geometry is difficult to obtain because (1) both contact area and pressure distribution are a priori unknown, and (2) the contact parameters keep changing with time, together with the compliance of the viscoelastic material. These difficulties are overcome in this paper by conducting numerical analysis based on both spatial and temporal model discretization. The viscoelastic contact process simulation is achieved by computing a series of subsequent contact states, the current state depending on the entire contact history. In this manner, the memory effect of the viscoelastic material is accounted for. The numerical predictions agree well with the classic solution of the spherical contact undergoing step loading. The history of pressure distribution and modification of contact area in the finite length line contact between a rigid profiled roller and a polymethyl methacrylate viscoelastic half-space are obtained. The case when the normal force is applied eccentrically in the longitudinal direction, leading to a tilting moment, is also considered.http://www.tribology.rs/journals/2018/2018-4/2018-4-03.htmlFinite length line contactNumerical simulationViscoelastic displacementEnd effectEccentric loading
spellingShingle S. Spinu
Viscoelastic Contact Modelling: Application to the Finite Length Line Contact
Tribology in Industry
Finite length line contact
Numerical simulation
Viscoelastic displacement
End effect
Eccentric loading
title Viscoelastic Contact Modelling: Application to the Finite Length Line Contact
title_full Viscoelastic Contact Modelling: Application to the Finite Length Line Contact
title_fullStr Viscoelastic Contact Modelling: Application to the Finite Length Line Contact
title_full_unstemmed Viscoelastic Contact Modelling: Application to the Finite Length Line Contact
title_short Viscoelastic Contact Modelling: Application to the Finite Length Line Contact
title_sort viscoelastic contact modelling application to the finite length line contact
topic Finite length line contact
Numerical simulation
Viscoelastic displacement
End effect
Eccentric loading
url http://www.tribology.rs/journals/2018/2018-4/2018-4-03.html
work_keys_str_mv AT sspinu viscoelasticcontactmodellingapplicationtothefinitelengthlinecontact