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Chebyshevskii Sbornik, 2022, Volume 23, Issue 5, Pages 188–197
DOI: https://doi.org/10.22405/2226-8383-2022-23-5-188-197 (Mi cheb1265) 		 
HISTORY OF MATH AND APPLICATIONS

Empirical mathematical model of change in the actual contact area of metals depending on the friction path

A. D. Brekia, V. A. Yakhimovicha, S. G. Chulkinbc, A. A. Moskaletsa, I. A. Shulgina, E. B. Sedakovaab, Yu. G. Barabanshchikova, S. N. Kutepovd, O. V. Kuzovlevae

a Peter the Great St. Petersburg Polytechnic University (St. Petersburg)
b Institute of Mechanical Engineering Problems of the Russian Academy of Sciences (St. Petersburg)
c St. Petersburg State Marine Technical University (St. Petersburg)
d Tula State Lev Tolstoy Pedagogical University (Tula)
e Russian State University of Justice (Moscow)
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DOI: https://doi.org/10.22405/2226-8383-2022-23-5-188-197
Abstract: The article presents a new empirical mathematical model for describing the change in the actual contact area of metals depending on the friction path, including such characteristics as the sharpness of the change in the actual contact area, the initial intensity of the change in the actual contact area, the increment in the intensity of the change in the actual contact area, the value of the friction path corresponding to the minimum "acceleration" of changes in the actual area of contact. The validity of the developed mathematical model is shown for the friction of pyramidal indenters made of aluminum, copper and steel St.3 on a steel surface.
Keywords: mathematical model, friction, actual contact area, indenter, frictional interaction.
Funding agency Grant number
Russian Science Foundation 22-19-00178
The work was supported by a grant from the Russian Science Foundation for the priority area of activity of the Russian Science Foundation “Conducting fundamental scientific research and exploratory scientific research byindividual scientific groups” to the scientific project: Application of digital modeling and big data to improve the efficiency of mechanical processing of titanium steam turbine blades and their operation under conditions of dropimpacterosion №22-19-00178.
Received: 21.09.2022
Accepted: 22.12.2022
Document Type: Article
UDC: 539.621
Language: Russian
Citation: A. D. Breki, V. A. Yakhimovich, S. G. Chulkin, A. A. Moskalets, I. A. Shulgin, E. B. Sedakova, Yu. G. Barabanshchikov, S. N. Kutepov, O. V. Kuzovleva, “Empirical mathematical model of change in the actual contact area of metals depending on the friction path”, Chebyshevskii Sb., 23:5 (2022), 188–197
Citation in format AMSBIB
\Bibitem{BreYakChu22}
\by A.~D.~Breki, V.~A.~Yakhimovich, S.~G.~Chulkin, A.~A.~Moskalets, I.~A.~Shulgin, E.~B.~Sedakova, Yu.~G.~Barabanshchikov, S.~N.~Kutepov, O.~V.~Kuzovleva
\paper Empirical mathematical model of change in the actual contact area of metals depending on the friction path
\jour Chebyshevskii Sb.
\yr 2022
\vol 23
\issue 5
\pages 188--197
\mathnet{http://mi.mathnet.ru/cheb1265}
\crossref{https://doi.org/10.22405/2226-8383-2022-23-5-188-197}
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