Empirical relationship between interfacial shear stress and contact pressure in micro- and macro-scale friction

Xin He; Zhong Liu; Lars B. Ripley; Victoria L. Swensen; Isaac J. Griffin-Wiesner; Beatrice R. Gulner; Gabriel R. McAndrews; Raymond J. Wieser; Brian P. Borovsky; Q. Jane Wang; Seong H. Kim

doi:10.1016/j.triboint.2020.106780

Empirical relationship between interfacial shear stress and contact pressure in micro- and macro-scale friction

Xin He, Zhong Liu, Lars B. Ripley, Victoria L. Swensen, Isaac J. Griffin-Wiesner, Beatrice R. Gulner, Gabriel R. McAndrews, Raymond J. Wieser, Brian P. Borovsky, Q. Jane Wang, Seong H. Kim^*

^*Corresponding author for this work

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

Abstract

This study examines the empirical relationship between frictional shear stress and pressure in macro- and micro-scale contact and sliding. Two types of friction tests are reported; the macro-scale tests deal with kinetic friction between stainless steel surfaces in a vapor phase lubrication condition, and the micro-scale tests measure kinetic friction at interfaces formed between MoS₂ basal planes and surfaces of alumina or stainless steel specimens, using a quartz crystal microbalance microtribometer. A numerical model is used to calculate the contact areas in the macro-scale tests. The results from both friction tests confirmed that the interfacial shear stress in the contact area due to kinetic friction is proportional to the average contact pressure, and the constant of proportionality is close to the coefficient of friction (COF). These observations add to the validation of the Amontons’ law.

Original language	English (US)
Article number	106780
Journal	Tribology International
Volume	155
DOIs	https://doi.org/10.1016/j.triboint.2020.106780
State	Published - Mar 2021

Keywords

Amontons' law
Area of true contact
Contact mechanics
Shear stress

ASJC Scopus subject areas

Mechanics of Materials
Mechanical Engineering
Surfaces and Interfaces
Surfaces, Coatings and Films

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10.1016/j.triboint.2020.106780

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He, X., Liu, Z., Ripley, L. B., Swensen, V. L., Griffin-Wiesner, I. J., Gulner, B. R., McAndrews, G. R., Wieser, R. J., Borovsky, B. P., Wang, Q. J., & Kim, S. H. (2021). Empirical relationship between interfacial shear stress and contact pressure in micro- and macro-scale friction. Tribology International, 155, Article 106780. https://doi.org/10.1016/j.triboint.2020.106780

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title = "Empirical relationship between interfacial shear stress and contact pressure in micro- and macro-scale friction",

abstract = "This study examines the empirical relationship between frictional shear stress and pressure in macro- and micro-scale contact and sliding. Two types of friction tests are reported; the macro-scale tests deal with kinetic friction between stainless steel surfaces in a vapor phase lubrication condition, and the micro-scale tests measure kinetic friction at interfaces formed between MoS2 basal planes and surfaces of alumina or stainless steel specimens, using a quartz crystal microbalance microtribometer. A numerical model is used to calculate the contact areas in the macro-scale tests. The results from both friction tests confirmed that the interfacial shear stress in the contact area due to kinetic friction is proportional to the average contact pressure, and the constant of proportionality is close to the coefficient of friction (COF). These observations add to the validation of the Amontons{\textquoteright} law.",

keywords = "Amontons' law, Area of true contact, Contact mechanics, Shear stress",

author = "Xin He and Zhong Liu and Ripley, {Lars B.} and Swensen, {Victoria L.} and Griffin-Wiesner, {Isaac J.} and Gulner, {Beatrice R.} and McAndrews, {Gabriel R.} and Wieser, {Raymond J.} and Borovsky, {Brian P.} and Wang, {Q. Jane} and Kim, {Seong H.}",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",

year = "2021",

month = mar,

doi = "10.1016/j.triboint.2020.106780",

language = "English (US)",

volume = "155",

journal = "Tribology International",

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T1 - Empirical relationship between interfacial shear stress and contact pressure in micro- and macro-scale friction

AU - He, Xin

AU - Liu, Zhong

AU - Ripley, Lars B.

AU - Swensen, Victoria L.

AU - Griffin-Wiesner, Isaac J.

AU - Gulner, Beatrice R.

AU - McAndrews, Gabriel R.

AU - Wieser, Raymond J.

AU - Borovsky, Brian P.

AU - Wang, Q. Jane

AU - Kim, Seong H.

PY - 2021/3

Y1 - 2021/3

N2 - This study examines the empirical relationship between frictional shear stress and pressure in macro- and micro-scale contact and sliding. Two types of friction tests are reported; the macro-scale tests deal with kinetic friction between stainless steel surfaces in a vapor phase lubrication condition, and the micro-scale tests measure kinetic friction at interfaces formed between MoS2 basal planes and surfaces of alumina or stainless steel specimens, using a quartz crystal microbalance microtribometer. A numerical model is used to calculate the contact areas in the macro-scale tests. The results from both friction tests confirmed that the interfacial shear stress in the contact area due to kinetic friction is proportional to the average contact pressure, and the constant of proportionality is close to the coefficient of friction (COF). These observations add to the validation of the Amontons’ law.

AB - This study examines the empirical relationship between frictional shear stress and pressure in macro- and micro-scale contact and sliding. Two types of friction tests are reported; the macro-scale tests deal with kinetic friction between stainless steel surfaces in a vapor phase lubrication condition, and the micro-scale tests measure kinetic friction at interfaces formed between MoS2 basal planes and surfaces of alumina or stainless steel specimens, using a quartz crystal microbalance microtribometer. A numerical model is used to calculate the contact areas in the macro-scale tests. The results from both friction tests confirmed that the interfacial shear stress in the contact area due to kinetic friction is proportional to the average contact pressure, and the constant of proportionality is close to the coefficient of friction (COF). These observations add to the validation of the Amontons’ law.

KW - Amontons' law

KW - Area of true contact

KW - Contact mechanics

KW - Shear stress

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Empirical relationship between interfacial shear stress and contact pressure in micro- and macro-scale friction

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Keywords

ASJC Scopus subject areas

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