Viscoelastic Effects during Tangential Contact Analyzed by a Novel Finite Element Approach with Embedded Interface Profiles

A computational approach that is based on interface finite elements with eMbedded Profiles for Joint Roughness (MPJR) is exploited in order to study the viscoelastic contact problems with any complex shape of the indenting profiles. The MPJR finite elements, previously developed for partial slip con...

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Main Authors: Jacopo Bonari, Marco Paggi
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Lubricants
Subjects:
Online Access:https://www.mdpi.com/2075-4442/8/12/107
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author Jacopo Bonari
Marco Paggi
author_facet Jacopo Bonari
Marco Paggi
author_sort Jacopo Bonari
collection DOAJ
description A computational approach that is based on interface finite elements with eMbedded Profiles for Joint Roughness (MPJR) is exploited in order to study the viscoelastic contact problems with any complex shape of the indenting profiles. The MPJR finite elements, previously developed for partial slip contact problems, are herein further generalized in order to deal with finite sliding displacements. The approach is applied to a case study concerning a periodic contact problem between a sinusoidal profile and a viscoelastic layer of finite thickness. In particular, the effect of using three different rheological models that are based on Prony series (with one, two, or three arms) to approximate the viscoelastic behaviour of a real polymer is investigated. The method allows for predicting the whole transient regime during the normal contact problem and the subsequent sliding scenario from full stick to full slip, and then up to gross sliding. The effects of the viscoelastic model approximation and of the sliding velocities are carefully investigated. The proposed approach aims at tackling a class of problems that are difficult to address with other methods, which include the possibility of analysing indenters of generic profile, the capability of simulating partial slip and gross slip due to finite slidings, and, finally, the possibility of simultaneously investigating dissipative phenomena, like viscoelastic dissipation and energy losses due to interface friction.
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spelling doaj.art-5f47255f9f804d0caa341707f2142fa22023-11-21T01:43:01ZengMDPI AGLubricants2075-44422020-12-0181210710.3390/lubricants8120107Viscoelastic Effects during Tangential Contact Analyzed by a Novel Finite Element Approach with Embedded Interface ProfilesJacopo Bonari0Marco Paggi1IMT School for Advanced Studies Lucca, Piazza San Francesco 19, 55100 Lucca, ItalyIMT School for Advanced Studies Lucca, Piazza San Francesco 19, 55100 Lucca, ItalyA computational approach that is based on interface finite elements with eMbedded Profiles for Joint Roughness (MPJR) is exploited in order to study the viscoelastic contact problems with any complex shape of the indenting profiles. The MPJR finite elements, previously developed for partial slip contact problems, are herein further generalized in order to deal with finite sliding displacements. The approach is applied to a case study concerning a periodic contact problem between a sinusoidal profile and a viscoelastic layer of finite thickness. In particular, the effect of using three different rheological models that are based on Prony series (with one, two, or three arms) to approximate the viscoelastic behaviour of a real polymer is investigated. The method allows for predicting the whole transient regime during the normal contact problem and the subsequent sliding scenario from full stick to full slip, and then up to gross sliding. The effects of the viscoelastic model approximation and of the sliding velocities are carefully investigated. The proposed approach aims at tackling a class of problems that are difficult to address with other methods, which include the possibility of analysing indenters of generic profile, the capability of simulating partial slip and gross slip due to finite slidings, and, finally, the possibility of simultaneously investigating dissipative phenomena, like viscoelastic dissipation and energy losses due to interface friction.https://www.mdpi.com/2075-4442/8/12/107viscoelasticitycontact mechanicsfinite element method
spellingShingle Jacopo Bonari
Marco Paggi
Viscoelastic Effects during Tangential Contact Analyzed by a Novel Finite Element Approach with Embedded Interface Profiles
Lubricants
viscoelasticity
contact mechanics
finite element method
title Viscoelastic Effects during Tangential Contact Analyzed by a Novel Finite Element Approach with Embedded Interface Profiles
title_full Viscoelastic Effects during Tangential Contact Analyzed by a Novel Finite Element Approach with Embedded Interface Profiles
title_fullStr Viscoelastic Effects during Tangential Contact Analyzed by a Novel Finite Element Approach with Embedded Interface Profiles
title_full_unstemmed Viscoelastic Effects during Tangential Contact Analyzed by a Novel Finite Element Approach with Embedded Interface Profiles
title_short Viscoelastic Effects during Tangential Contact Analyzed by a Novel Finite Element Approach with Embedded Interface Profiles
title_sort viscoelastic effects during tangential contact analyzed by a novel finite element approach with embedded interface profiles
topic viscoelasticity
contact mechanics
finite element method
url https://www.mdpi.com/2075-4442/8/12/107
work_keys_str_mv AT jacopobonari viscoelasticeffectsduringtangentialcontactanalyzedbyanovelfiniteelementapproachwithembeddedinterfaceprofiles
AT marcopaggi viscoelasticeffectsduringtangentialcontactanalyzedbyanovelfiniteelementapproachwithembeddedinterfaceprofiles