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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, Volume 9, Issue 3, Pages 391–404
DOI: https://doi.org/10.21638/spbu01.2022.301 (Mi vspua20) 		 
This article is cited in 1 scientific paper (total in 1 paper)

ON THE ANNIVERSARY OF N.F. MOROZOV

Boundary layers on the upper/lower surfaces of reinforced plates

B. D. Annina, A. G. Kolpakovb, S. I. Rakinc

a Lavrentiev Institute of Hydrodynamics, 15, pr. Akademika Lavrentieva, Novosibirsk, 630090, Russian Federation
b SysAn - System Analysis in Engineering, 12, ul. A. Nevskogo, Novosibirsk, 630075, Russian Federation
c Siberian Transport University, 191, ul. Dusi Kovalchuk, Novosibirsk, 630090, Russian Federation
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DOI: https://doi.org/10.21638/spbu01.2022.301
Abstract: The periodicity cell problems of the homogenization theory, both elastic and thermoelastic, are discussed for a fiber-reinforced plate. A feature of the periodicity cells of the plates is the presence of free surfaces in them. As follows from our calculations, boundary layers appear on free surfaces. The characteristics of these boundary layers for unidirectional and transverse reinforced plates are investigated.
Keywords: plate, reinforcing fibers, matrix, homogenization method.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2020-781
This work is supported in part by Ministry of Science and Higher Education of the Russian Federation (project no. 075-15-2020-781).
Received: 08.02.2022
Revised: 24.02.2022
Accepted: 03.03.2022
English version:
Vestnik St. Petersburg University, Mathematics, 2022, Volume 9, Issue 3, Pages 391–404
DOI: https://doi.org/10.1134/S1063454122030037
Document Type: Article
UDC: 539.3
MSC: 74
Language: Russian
Citation: B. D. Annin, A. G. Kolpakov, S. I. Rakin, “Boundary layers on the upper/lower surfaces of reinforced plates”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:3 (2022), 391–404; Vestn. St. Petersbg. Univ., Math., 9:3 (2022), 391–404
Citation in format AMSBIB
\Bibitem{AnnKolRak22}
\by B.~D.~Annin, A.~G.~Kolpakov, S.~I.~Rakin
\paper Boundary layers on the upper/lower surfaces of reinforced plates
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2022
\vol 9
\issue 3
\pages 391--404
\mathnet{http://mi.mathnet.ru/vspua20}
\crossref{https://doi.org/10.21638/spbu01.2022.301}
\transl
\jour Vestn. St. Petersbg. Univ., Math.
\yr 2022
\vol 9
\issue 3
\pages 391--404
\crossref{https://doi.org/10.1134/S1063454122030037}
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