Fractal Prediction Model of Friction Coefficient in Dry Friction Pair
To research the friction coefficient of rough surface under different contact loads. A mathematical model is proposed between the fractal parameters D and G and the non-dimensional real contact area based on M-B fractal contact model, surface profile curves are scanned by APE500 surface morphology, dimension change index k and size change index s are identified in tests, the model is verified on UMT-3 pin-on-disk wear apparatus. Results showed that the modeling method relying on limiting cases is feasible, this model could improve prediction accuracy of friction coefficient, and the experimental results are consistent with the theoretical prediction.
Riza Esa and Yanwen Wu
J. J. Zhou et al., "Fractal Prediction Model of Friction Coefficient in Dry Friction Pair", Advanced Materials Research, Vols. 301-303, pp. 315-320, 2011