A Gas-Surface Interaction Model for Spatial and Time-Dependent Friction Coefficient in Reciprocating Contacts: Applications to Near-Frictionless Carbon

[+] Author and Article Information
P. L. Dickrell, W. G. Sawyer

Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL 32611

J. A. Heimberg, I. L. Singer, K. J. Wahl

Naval Research Laboratory, Tribology Section Code 6176, Washington, DC 20375

A. Erdemir

Argonne National Laboratory, Energy Technology Division, Argonne, IL 60439

J. Tribol 127(1), 82-88 (Feb 07, 2005) (7 pages) doi:10.1115/1.1829719 History: Received March 02, 2004; Revised July 26, 2004; Online February 07, 2005
Copyright © 2005 by ASME
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Recursive relations used in the derivation of the midpoint model. A closed-form expression for entering coverage for any cycle n(θnin) is expressed as a function of initial coverage θ0, removal ratio λ, and adsorption coefficient α. Model line fits 17 are shown against averaged friction data collected by Heimberg et al. 7. The adsorption fraction was found using Langmuir adsorption, where νP is an adsorption rate and tc is the cycle time between the pin passes at the midpoint of the track. The values of νP and λ from this figure are used in the application of the positional and time-dependent model.
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Model schematic for position a The times between contact when moving forward or reverse are tf and tr, respectively. The adsorption fractions for the forward and reverse contacts are αf and αr, respectively. Recursive equations are given for any cycle N.
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Comparison of the midpoint model 17 (left) to the positional model (right) for a single sliding speed. The midpoint value at each forward or reverse pass corresponds well with the mean values because the trend is nearly perfectly linear in friction coefficient versus position. All model parameters are given in Fig. 1.
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Model comparisons to friction coefficient data for cycle 19/20 at multiple sliding speeds. All model parameters are given in Fig. 1.
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Model comparisons to friction coefficient data from multiple cycles at a 30 μm/s sliding speed. All model parameters are given in Fig. 1.
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A plot of the removal ratio λ versus the steady-state friction coefficient for experiments run under varying sliding speed and constant dwell, and experiments run at constant sliding speed and various dwell times.




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