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Chebyshevskii Sbornik, 2020, Volume 21, Issue 3, Pages 272–291
DOI: https://doi.org/10.22405/2226-8383-2018-21-3-272-291 (Mi cheb942) 		 
HISTORY OF MATH AND APPLICATIONS

Empirical mathematical models of plasticity, strength and wear resistance of materials on the example of P18 steel

A. D. Brekia, A. E. Gvozdevb, O. V. Kuzovlevac, V. Yu. Kuzovlevd

a Peter the Great St. Petersburg Polytechnic University (St. Petersburg)
b Tula State Lev Tolstoy Pedagogical University (Tula)
c Russian State University of Justice (Moscow)
d Moscow University of the Ministry of Internal Affairs of Russia named after V.Ya. Kikotya (Moscow)
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DOI: https://doi.org/10.22405/2226-8383-2018-21-3-272-291
Abstract: The paper analyzes the results of laboratory experimental studies of parameters that characterize the plasticity, strength and wear resistance of P18 tool steel obtained during material science examinations. New empirical mathematical expert models have been developed for the dependence of P18 steel ductility and strength on temperature. Empirical mathematical expert models of the dependence of mechanical properties and wear resistance of P18 steel on various factors are obtained. The possibility of analytical representation of complex experimental graphical dependencies of mechanical and tribological properties of P18 steel on various factors for use in forensic practice is shown.
Keywords: approximation, wear resistance, P18 tool steel, mathematical model, plasticity, strength, forensic examination of metals and alloys, temperature dependence, friction.
Received: 16.04.2020
Accepted: 22.10.2020
Document Type: Article
UDC: 621.2.082.18
Language: Russian
Citation: A. D. Breki, A. E. Gvozdev, O. V. Kuzovleva, V. Yu. Kuzovlev, “Empirical mathematical models of plasticity, strength and wear resistance of materials on the example of P18 steel”, Chebyshevskii Sb., 21:3 (2020), 272–291
Citation in format AMSBIB
\Bibitem{BreGvoKuz20}
\by A.~D.~Breki, A.~E.~Gvozdev, O.~V.~Kuzovleva, V.~Yu.~Kuzovlev
\paper Empirical mathematical models of plasticity, strength and wear resistance of materials on the example of P18 steel
\jour Chebyshevskii Sb.
\yr 2020
\vol 21
\issue 3
\pages 272--291
\mathnet{http://mi.mathnet.ru/cheb942}
\crossref{https://doi.org/10.22405/2226-8383-2018-21-3-272-291}
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