Abstract
We propose a version of a mathematical model for the quantitative description of a frictional process involving substances that are able to restore the working surfaces. In doing so we take account of the processes of ordinary friction accompanied by fracture and an increase in the contacting surfaces, as well as wear-free friction processes. We establish that the transition from the one kinetic process to the other passes through a bifurcation point separating the stable and unstable solutions of the proposed system of equations.
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Translated fromMatematichni Metody i Fiziko-Mekhanichni Polya, Vol. 38, 1995.
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Mironyuk, G.I., Ternovaya, T.V. & Karnaukhov, I.N. Mathematical modeling of the kinetics of wear-free frictional processes. J Math Sci 81, 3090–3092 (1996). https://doi.org/10.1007/BF02362601
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DOI: https://doi.org/10.1007/BF02362601