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.
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Rainer HEISE. He is postdoctoral researcher at Technische Universität Berlin. He studied engineering physics at Chalmers University of Technology in Göteborg (1996–2001) and received his PhD degree from Göteborg University in 2005. After a postdoc period at Albert Einstein Institute in Potsdam Golm he works at the Department of System Dynamics and the Physics of Friction in the Institute of Mechanics at TU Berlin. His research interests include mathematical physics, numerical simulation of frictional processes, tribology, the influence of ultrasound on friction and issues related to materials such as elastomers but also particle physics.
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Heise, R. Friction between a temperature dependent viscoelastic body and a rough surface. Friction 4, 50–64 (2016). https://doi.org/10.1007/s40544-016-0103-0
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DOI: https://doi.org/10.1007/s40544-016-0103-0