Rainer Heise

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 In this study, we elaborate on the friction between a one-dimensional elastomer and a one-dimensional rigid randomly rough surface. Special emphasis is laid on the energy dissipation in the elastomer. Its subsequent temperature change is under inspection. The elastomer is modeled as a spring and a damper in parallel (Kelvin model) in a one-dimensional substitute model according to the concept of the method of dimensionality reduction (MDR). The randomly rough surface is a self-affine one-dimensional fractal whose Hurst exponent H is varied in an extended range between -1 and 3. In full contact, the temperature shift is dominated by ratio between the typical power dissipated in the elastomer to the power that is led away. It is independent of the normal force and proportional to the sliding speed squared. The flash temperature behavior is discussed for different Hurst exponents.

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