This article presents a theoretical model of the kinetic friction characteristics for sliding velocity under mild wear condition, assuming a simple effective hardness at asperity contacts. The proposed model depends on the surface temperature distribution obtained by using Jaeger's estimation for a moving homogeneous heat source with an infinitely long band on a semi-infinite solid and a relation between steel hardness and temperature measured by Tominaga. Further, the model takes into consideration the stochastic model of a rough surface contact that was proposed by Greenwood and Williamson. The calculation results show that the surface temperature increases and the surface hardness and the friction coefficient decrease as the sliding velocity increases. However, the variation in the friction coefficient is less than that in the surface hardness. The initial value of the friction coefficient and the contact pressure has a great influence on the relation between the friction coefficient and the sliding velocity. In contrast, the standard deviation of the asperity summit heights has little influence on the relation.
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