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In this study, we investigate the friction between a one-dimensional elastomer and a one-dimensional rigid randomly rough surface. Special emphasis is laid on the temperature dependence of the elastomer and its effect on the frictional behavior of the contact. The elastomer is modeled as a Kelvin body in a one-dimensional substitute model in the spirit of the method of dimensionality reduction. The randomly rough surface is a self-affine one-dimensional fractal. We provide a short discussion of a conical indenter pressed in a displacement controlled process into an elastomer. These analytical considerations are taken as a basis for the treatment of the randomly rough counter surface in contact to an elastomer with and without temperature dependent viscosity. We identify dimensionless quantities describing this process, introduce a thermal length scale, and give estimates for the coefficient of friction as function of velocity, indentation and thermal quantities.


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Friction between a temperature dependent viscoelastic body and a rough surface

Show Author's information Rainer HEISE( )
Institute for Mechanics, Technische Universität Berlin, Straße des 17. Juni 135, Berlin D-10623, Germany

Abstract

In this study, we investigate the friction between a one-dimensional elastomer and a one-dimensional rigid randomly rough surface. Special emphasis is laid on the temperature dependence of the elastomer and its effect on the frictional behavior of the contact. The elastomer is modeled as a Kelvin body in a one-dimensional substitute model in the spirit of the method of dimensionality reduction. The randomly rough surface is a self-affine one-dimensional fractal. We provide a short discussion of a conical indenter pressed in a displacement controlled process into an elastomer. These analytical considerations are taken as a basis for the treatment of the randomly rough counter surface in contact to an elastomer with and without temperature dependent viscosity. We identify dimensionless quantities describing this process, introduce a thermal length scale, and give estimates for the coefficient of friction as function of velocity, indentation and thermal quantities.

Keywords: coefficient of friction, temperature dependence, elastomer friction

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Publication history
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Publication history

Received: 04 August 2015
Revised: 30 November 2015
Accepted: 01 January 2016
Published: 29 January 2016
Issue date: June 2021

Copyright

© The author(s) 2016

Acknowledgements

The author thanks V. L. Popov for discussions. R. H. is supported by DFG project PO 810/12-2.

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This article is published with open access at Springerlink.com

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