Markovian Chain Theory Application for the Description of Wearproof Powder Coating Profile under Sliding Friction


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Abstract

A statistical approach is proposed based on the Markovian chain theory to describe the coordinate distribution for the profile of powder coatings under sliding friction. Transitional probability matrices are constructed for homogeneous Markovian chains corresponding to a stage of steady-state-state wear of powder coatings. Calculated and experimental data concerning the friction surface profiles of wear-resistant coatings are analyzed. It is shown that the proposed approach simplifies the calculations upon processing a large amount of profilometric data to predict the wear and microgeometry of the friction surfaces of powder coatings.

About the authors

G. G. Vinokurov

Larionov Institute for Physical-Technical Problems of the North, Russian Academy of Sciences, Siberian Branch

Author for correspondence.
Email: g.g.vinokurov@iptpn.ysn.ru
Russian Federation, Yakutsk, 677980

N. F. Struchkov

Larionov Institute for Physical-Technical Problems of the North, Russian Academy of Sciences, Siberian Branch

Email: g.g.vinokurov@iptpn.ysn.ru
Russian Federation, Yakutsk, 677980

O. N. Popov

Institute for Mathematics and Informatics, Ammosov North-Eastern Federal University

Email: g.g.vinokurov@iptpn.ysn.ru
Russian Federation, Yakutsk, 677891

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