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Research Papers

Some Results on the Random Wear Coefficient of the Archard Model

[+] Author and Article Information
Fabio Antonio Dorini1

 Department of Mathematics, Federal University of Technology, UTFPR,Av. Sete de Setembro, 3165, Rebouças, 80230-901, Curitiba, PR, Brazilfabio.dorini@gmail.com

Rubens Sampaio

 Department of Mechanical Engineering,PUC-Rio,Rua Marquês de São Vicente, 225, Gávea, 22453-900, Rio de Janeiro, RJ, Brazilrsampaio@puc-rio.br

1

Corresponding author.

J. Appl. Mech 79(5), 051008 (Jun 22, 2012) (7 pages) doi:10.1115/1.4006453 History: Received December 21, 2011; Revised February 17, 2012; Posted March 26, 2012; Published June 22, 2012; Online June 22, 2012

The most used model for predicting wear is the linear wear law proposed by Archard. A common generalization of Archard’s wear law is based on the assumption that the wear rate at any point on the contact surface is proportional to the local contact pressure and the relative sliding velocity. This work focuses on a stochastic modeling of the wear process to take into account the experimental uncertainties in the identification process of the contact-state dependent wear coefficient. The description of the dispersion of the wear coefficient is described by a probability density function, which is performed using the maximum entropy principle using only the information available. Closed-form results for the probability density function of the wear depth for several situations that commonly occur in practice are provided.

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Copyright © 2012 by American Society of Mechanical Engineers
Topics: Density , Wear , Probability
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References

Figures

Grahic Jump Location
Figure 2

Illustration of function m1 (λ1 ); b = 5

Grahic Jump Location
Figure 3

Illustration of γ as a function of λ2

Grahic Jump Location
Figure 1

Illustration of function m1 (λ1 ); b = 2

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