Fractal Prediction Model During the Wear Process Based on Archard Formula

Abstract

It is very important for the tribological design of the mechanical system to develop a mathematical model to predict the rate of wear depth in a wear process. Archard formula is the basement of wear calculation, it is very important to estimate the adhesive wear life. This paper uses the fractal parameters with scale-independence to characterize surface topography in the wear process by introducing the fractal theory, and takes into account the different shape of asperities during the running-in process and the stable wear process, the revised Archard wear calculation formula is developed. The numerical simulation results show that the rate of wear depth and the wear depth changing with time and the fractal parameters are consistent with that described by classical theories, it will provide a theoretical support for accurate prediction of the friction pairs' wear life.