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Research Papers: Contact Mechanics

Measurements of the Static Friction Coefficient Between Tin Surfaces and Comparison to a Theoretical Model

[+] Author and Article Information
Rebecca D. Ibrahim Dickey, Robert L. Jackson, George T. Flowers

 Department of Mechanical Engineering, Auburn University, Auburn, AL 36830

J. Tribol 133(3), 031408 (Jul 28, 2011) (7 pages) doi:10.1115/1.4004338 History: Received August 24, 2010; Revised June 02, 2011; Accepted June 06, 2011; Published July 28, 2011; Online July 28, 2011

A new experimental apparatus is used to measure the static friction between tin surfaces under various loads. After the data is collected it is then compared to an existing theoretical model. The experiment uses the classical physics technique of increasing the incline of a plane and block until the block slides. The angle at the initiation of sliding is used to find the static friction coefficient. The experiment utilizes an automated apparatus to minimize human error. The finite element based statistical rough surface contact model for static friction under full stick by Li, Etsion, and Talke (2010, “Contact Area and Static Friction of Rough Surfaces with High Plasticity Index,” ASME Journal of Tribology, 132 (3), p. 031401) is used to make predictions of the friction coefficient using surface profile data from the experiment. Comparison of the computational and experimental methods shows similar qualitative trends, and even some quantitative agreement. After adjusting the results for the possible effect of the native tin oxide film, the theoretical and experimental results can be brought into reasonable qualitative and quantitative agreement.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic of the classic block on an incline plane problem

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Figure 2

A picture of the profilometer used to obtain the raw surface data

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Figure 3

Sample of one set of surface data and the parabolic fit used to remove curvature

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Figure 4

A surface after the parabolic fit is removed from the raw surface data

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Figure 5

A labeled picture of the entire experimental setup

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Figure 6

A labeled picture of the inclined plane of the experimental setup

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Figure 7

A picture of the sample clipped on inclined plane

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Figure 8

A picture of one of the samples used in adhered to the mass

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Figure 9

Comparison between the theoretical model and experimental measurements

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Figure 10

Comparison between a modified analytical model and the experimental measurements

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