Calculation Model of Fractional Surface Temperature Rise Based on Fractal Theory

摘要

Frictional mechanical property is greatly influenced by the temperature rise induced by frictional heating. It is of significance to the calculation of the real temperature rise in order to avoid serious thermal wear, erosion and lubrication failure in the machine design and application. A model based on fractal theory to calculate the temperature is established on the basis of real contact area and three real contact states, which would reach the unity of the macroscopic temperature and microscopic contact states for accurate prediction. Simulation results demonstrate that the temperature increases with the rise of fractal dimension and maximum contact area under the same fractal characteristic length and the temperature firstly decreases and then tends to be constant with the increment of the fractal characteristic length under the same fractal dimension. Simultaneously, the fractal dimension has great influence on the variation of temperature than the fractal characteristic length.