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Lubricants 2015, 3(2), 311-331; doi:10.3390/lubricants3020311

How Does Dissipation Affect the Transition from Static to Dynamic Macroscopic Friction?

1
Physics Department & Department of Earth and Environmental Sciences, Wright State University, 3640 Colonel Glenn Highway, Dayton, OH 45435, USA
2
Physics Department, Wright State University, 3640 Colonel Glenn Highway, Dayton, OH 45435, USA
*
Author to whom correspondence should be addressed.
Academic Editor: Jeffrey L. Streator
Received: 14 October 2014 / Revised: 8 December 2014 / Accepted: 12 February 2015 / Published: 16 April 2015
(This article belongs to the Special Issue Numerical Simulation of Static and Dynamic Friction)
View Full-Text   |   Download PDF [742 KB, uploaded 17 April 2015]   |  

Abstract

Description of the transitional process from a static to a dynamic frictional regime is a fundamental problem of modern physics. Previously, we developed a model based on the well-known Frenkel-Kontorova model to describe dry macroscopic friction. Here, this model has been modified to include the effect of dissipation in derived relations between the kinematic and dynamic parameters of a transition process. The main (somewhat counterintuitive) result is a demonstration that the rupture (i.e., detachment front) velocity of the slip pulse which arises during the transition does not depend on friction. The only parameter (besides the elastic and plastic properties of the medium) controlling the rupture velocity is the shear to normal stress ratio. In contrast to the rupture velocity, the slip velocity does depend on friction. The model we have developed describes these processes over a wide range of rupture and slip velocities (up to 7 orders of magnitude) allowing, in particular, the consideration of seismic events ranging from regular earthquakes, with rupture velocities on the order of a few km/s, to slow slip events, with rupture velocities of a few km/day. View Full-Text
Keywords: dry macroscopic friction; transition process; slip pulse; rupture velocity; Frenkel-Kontorova model; sine-Gordon equation dry macroscopic friction; transition process; slip pulse; rupture velocity; Frenkel-Kontorova model; sine-Gordon equation
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Gershenzon, N.I.; Bambakidis, G.; Skinner, T.E. How Does Dissipation Affect the Transition from Static to Dynamic Macroscopic Friction? Lubricants 2015, 3, 311-331.

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