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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2024, Volume 520, Number 1, Pages 35–42
DOI: https://doi.org/10.31857/S2686954324060065
(Mi danma574)
 

MATHEMATICS

An approach for constructing refined generalized models of composite durability in extreme conditions based on the modern kinetic theory of strength

E. L. Gusevab, V. N. Bakulinc

a Institute of Oil and Gas Problems of the Federal Research Center "Yakut Scientific Center of the Siberian Branch of the Russian Academy of Sciences", Yakutsk, Russia
b Institute of Mathematics and Informatics, North-Eastern Federal University, Yakutsk, Russia
c Institute of Applied Mechanics of Russian Academy of Sciences, Moscow, Russia
DOI: https://doi.org/10.31857/S2686954324060065
Abstract: An approach is proposed for constructing refined generalized models of the durability of composites under extreme conditions based on the modern kinetic theory of strength. Within the framework of variational formulations, effective methods for predicting the defining characteristics (residual life, strength, reliability, durability) of composites under extreme environmental conditions are proposed and developed. Based on conducted research, a method is developed for matching the defining parameters of physical models at the microscopic level with the corresponding defining parameters of mathematical models at the macroscopic level. As a result, we solve the problem of restoring the parameters of physical and chemical processes occurring at the microscopic level and leading to destructive changes in composites and deterioration of their characteristics over time.
Keywords: kinetic theory of strength, composite materials, variational formulation, prediction methods, physical and mathematical models, extreme factors, residual life, durability.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation
This work was performed within the state assignment of the Institute of Oil and Gas Problems of the Federal Research Center “Yakut Scientific Center of the Siberian Branch of the Russian Academy of Sciences”, Yakutsk, Russia, and the Institute of Applied Mechanics of the Russian Academy of Sciences, Moscow, Russia.
Presented: B. N. Chetverushkin
Received: 01.08.2024
Revised: 08.10.2024
Accepted: 28.10.2024
English version:
Doklady Mathematics, 2024, Volume 110, Issue 3, Pages 480–485
DOI: https://doi.org/10.1134/S1064562424601768
Bibliographic databases:
Document Type: Article
UDC: 51-72:517.977.5:519.873
Language: Russian
Citation: E. L. Gusev, V. N. Bakulin, “An approach for constructing refined generalized models of composite durability in extreme conditions based on the modern kinetic theory of strength”, Dokl. RAN. Math. Inf. Proc. Upr., 520:1 (2024), 35–42; Dokl. Math., 110:3 (2024), 480–485
Citation in format AMSBIB
\Bibitem{GusBak24}
\by E.~L.~Gusev, V.~N.~Bakulin
\paper An approach for constructing refined generalized models of composite durability in extreme conditions based on the modern kinetic theory of strength
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2024
\vol 520
\issue 1
\pages 35--42
\mathnet{http://mi.mathnet.ru/danma574}
\elib{https://elibrary.ru/item.asp?id=80301236}
\transl
\jour Dokl. Math.
\yr 2024
\vol 110
\issue 3
\pages 480--485
\crossref{https://doi.org/10.1134/S1064562424601768}
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