Lubrication of soft viscoelastic solids

Anupam Pandey, Stefan Karpitschka, Cornelis H. Venner, Jacobus Hendrikus Snoeijer

Research output: Contribution to journalArticleAcademicpeer-review

54 Downloads (Pure)

Abstract

Lubrication flows appear in many applications in engineering, biophysics, and in nature. Separation of surfaces and minimisation of friction and wear is achieved when the lubrication fluid builds up a lift force. In this paper we analyse soft lubricated contacts by treating the solid walls as viscoelastic: soft materials are typically not purely elastic, but dissipate energy under dynamical loading conditions. We present a method for viscoelastic lubrication and focus on three canonical examples, namely Kelvin-Voigt-, Standard Linear-, and Power Law-rheology. It is shown how the solid viscoelasticity affects the lubrication process when the timescale of loading becomes comparable to the rheological timescale. We derive asymptotic relations between lift force and sliding velocity, which give scaling laws that inherit a signature of the rheology. In all cases the lift is found to decrease with respect to purely elastic systems.
Original languageEnglish
Pages (from-to)433-447
JournalJournal of fluid mechanics
Volume799
DOIs
Publication statusPublished - 25 Jul 2016

Fingerprint

lubrication
Lubrication
Rheology
rheology
elastic systems
Biophysics
biophysics
Scaling laws
viscoelasticity
Viscoelasticity
scaling laws
sliding
friction
signatures
Wear of materials
engineering
Friction
optimization
Fluids
fluids

Keywords

  • IR-99425
  • METIS-315329

Cite this

@article{5954c61cac7144609210cc715fa60d16,
title = "Lubrication of soft viscoelastic solids",
abstract = "Lubrication flows appear in many applications in engineering, biophysics, and in nature. Separation of surfaces and minimisation of friction and wear is achieved when the lubrication fluid builds up a lift force. In this paper we analyse soft lubricated contacts by treating the solid walls as viscoelastic: soft materials are typically not purely elastic, but dissipate energy under dynamical loading conditions. We present a method for viscoelastic lubrication and focus on three canonical examples, namely Kelvin-Voigt-, Standard Linear-, and Power Law-rheology. It is shown how the solid viscoelasticity affects the lubrication process when the timescale of loading becomes comparable to the rheological timescale. We derive asymptotic relations between lift force and sliding velocity, which give scaling laws that inherit a signature of the rheology. In all cases the lift is found to decrease with respect to purely elastic systems.",
keywords = "IR-99425, METIS-315329",
author = "Anupam Pandey and Stefan Karpitschka and Venner, {Cornelis H.} and Snoeijer, {Jacobus Hendrikus}",
year = "2016",
month = "7",
day = "25",
doi = "10.1017/jfm.2016.375",
language = "English",
volume = "799",
pages = "433--447",
journal = "Journal of fluid mechanics",
issn = "0022-1120",
publisher = "Cambridge University Press",

}

Lubrication of soft viscoelastic solids. / Pandey, Anupam; Karpitschka, Stefan; Venner, Cornelis H.; Snoeijer, Jacobus Hendrikus.

In: Journal of fluid mechanics, Vol. 799, 25.07.2016, p. 433-447.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Lubrication of soft viscoelastic solids

AU - Pandey, Anupam

AU - Karpitschka, Stefan

AU - Venner, Cornelis H.

AU - Snoeijer, Jacobus Hendrikus

PY - 2016/7/25

Y1 - 2016/7/25

N2 - Lubrication flows appear in many applications in engineering, biophysics, and in nature. Separation of surfaces and minimisation of friction and wear is achieved when the lubrication fluid builds up a lift force. In this paper we analyse soft lubricated contacts by treating the solid walls as viscoelastic: soft materials are typically not purely elastic, but dissipate energy under dynamical loading conditions. We present a method for viscoelastic lubrication and focus on three canonical examples, namely Kelvin-Voigt-, Standard Linear-, and Power Law-rheology. It is shown how the solid viscoelasticity affects the lubrication process when the timescale of loading becomes comparable to the rheological timescale. We derive asymptotic relations between lift force and sliding velocity, which give scaling laws that inherit a signature of the rheology. In all cases the lift is found to decrease with respect to purely elastic systems.

AB - Lubrication flows appear in many applications in engineering, biophysics, and in nature. Separation of surfaces and minimisation of friction and wear is achieved when the lubrication fluid builds up a lift force. In this paper we analyse soft lubricated contacts by treating the solid walls as viscoelastic: soft materials are typically not purely elastic, but dissipate energy under dynamical loading conditions. We present a method for viscoelastic lubrication and focus on three canonical examples, namely Kelvin-Voigt-, Standard Linear-, and Power Law-rheology. It is shown how the solid viscoelasticity affects the lubrication process when the timescale of loading becomes comparable to the rheological timescale. We derive asymptotic relations between lift force and sliding velocity, which give scaling laws that inherit a signature of the rheology. In all cases the lift is found to decrease with respect to purely elastic systems.

KW - IR-99425

KW - METIS-315329

U2 - 10.1017/jfm.2016.375

DO - 10.1017/jfm.2016.375

M3 - Article

VL - 799

SP - 433

EP - 447

JO - Journal of fluid mechanics

JF - Journal of fluid mechanics

SN - 0022-1120

ER -