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Friction & Wear

Stability of Frictional Sliding With the Coefficient of Friction Depended on the Temperature

[+] Author and Article Information
Vahid Mortazavi, Chuanfeng Wang

Department of Mechanical Engineering,  University of Wisconsin, Milwaukee, WI 53201

Michael Nosonovsky

Department of Mechanical Engineering,  University of Wisconsin, Milwaukee, WI 53201nosonovs@uwm.edu

J. Tribol 134(4), 041601 (Aug 21, 2012) (7 pages) doi:10.1115/1.4006577 History: Received August 23, 2011; Revised March 21, 2012; Published August 21, 2012; Online August 21, 2012

Friction-induced instabilities can be caused by different separate mechanisms such as elastodynamic or thermoelastic. This paper suggests another type of instability due to the temperature dependency of the coefficient of friction. The perturbations imposed on the surface temperature field during the frictional sliding can grow or decay. A stability criterion is formulated and a case study of a brake disk is performed with a simple model without including effects of transforming layer and chemical/physical properties change with temperature. The disk is rigid and the coefficient of friction depends on temperature. We show that the mechanism of instability can contribute to poor reproducibility of aircraft disk brake tests reported in the literature. We propose a method to increase the reproducibility by dividing the disk into several sectors with decreased thermal conductivity between the sectors.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

Various mechanisms can create positive or negative feedbacks that lead to instabilities during friction

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Figure 2

Response of the system to different values of values of ɛ: (a) 0.0001, (b) 0.00005, and (c) 0.00001. τ is the dimensionless time.

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Figure 5

Effect of the number of domains N on the reproducibility of the brake test

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Figure 6

Response of system to perturbation in whole domain for different values of ɛ: (a) 0.0001 and (b) 0.00001. τ is the dimensionless time.

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Figure 7

Simulation results for T at 1, 10, 100, and 1000 time steps: (a) random fluctuation and (b) distribution of the average value of the coefficient of friction after 100 runs

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Figure 8

Simulation results for T at 1, 10, 100, and 1000 time steps: (a) random fluctuation and (b) distribution of the average value of the coefficient of friction after 100 runs

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Figure 3

Schematic of a brake disk

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Figure 4

Temperature dependence of the coefficient of friction

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