Static Friction Experiments and Verification of an Improved Elastic-Plastic Model Including Roughness Effects

[+] Author and Article Information
Chul-Hee Lee1

Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

Andreas A. Polycarpou2

Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801polycarp@uiuc.edu


Currently with the Department of Mechanical Engineering, Inha University, Incheon 402-751, Republic of Korea.


Corresponding author.

J. Tribol 129(4), 754-760 (Apr 17, 2007) (7 pages) doi:10.1115/1.2768074 History: Received January 10, 2006; Revised April 17, 2007

An experimental study was conducted to measure the static friction coefficient under constant normal load and different interface conditions. These include surface roughness, dwell time, displacement rate, as well as the presence of traces of lubricant and wear debris at the interface. The static friction apparatus includes accurate measurement of friction, normal and lateral forces at the interface (using a high dynamic bandwidth piezoelectric force transducer), as well as precise motion control and measurement of the sliding mass. The experimental results show that dry surfaces are more dependent on the displacement rate prior to sliding inception compared to boundary lubricated surfaces in terms of static friction coefficient. Also, the presence of wear debris, boundary lubrication, and rougher surfaces decrease the static friction coefficient significantly compared to dry smooth surfaces. The experimental measurements under dry unlubricated conditions were subsequently compared to an improved elastic-plastic static friction model, and it was found that the model captures the experimental measurements of dry surfaces well in terms of the surface roughness.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 1

Schematic of a typical friction coefficient showing static and kinetic friction

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Figure 2

Contacting nominally flat rough interface: (a) schematic showing relevant interfacial forces, and (b) GW roughness model showing the contact between an equivalent sum rough surface in contact with a smooth plane

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Figure 3

Typical specimens and surface roughness profile (500μm×500μm) measured using a 3D contact profilometer

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Figure 4

Model of interfacial forces at contacting interfaces for two different roughness cases (Table 1), Δγ=0.5N∕m

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Figure 5

Model of the static friction coefficient using the KE elastic-plastic model

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Figure 6

Schematic diagram for the static fiction measurement test apparatus

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Figure 7

Typical experimental results at V=200μm∕s, smooth interface I: (a) friction force, (b) normal force, (c) friction coefficient, and (d) displacement

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Figure 8

Typical repeatability in friction coefficient measurements

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Figure 9

Friction coefficient measurements under different sliding velocities, smooth interface I

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Figure 10

Friction coefficient measurements under different surface conditions at 100μm∕s

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Figure 11

Comparison of the static friction coefficient between theoretical (KE model) and experimental results under different sliding velocities



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