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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2015, Volume 157, Book 1, Pages 15–24 (Mi uzku1289)  
This article is cited in 4 scientific papers (total in 4 papers)

On solving physically nonlinear equilibrium problems for sandwich plates with a transversely soft filler

I. B. Badrieva, G. Z. Garipovab, M. V. Makarovbc, V. N. Paimushincb, R. F. Chabibullind

a Institute of Computer Mathematics and Information Technologies, Kazan (Volga Region) Federal University, Kazan, Russia
b Kazan (Volga Region) Federal University, Kazan, Russia
c Institute of Aviations, Transport and Energy, Kazan State Technical University, Kazan, Russia
d Institute of Computer Mathematics and Information Technologies, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (457 kB) Citations (4)
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Abstract: The generalized statement for the problem of determining the stress-strain state of sandwich plates with a transversely soft filler in the presence of constraints is given. Its correctness is discussed. This statement is formulated in the form of finding a saddle point of some functional. The existence and uniqueness theorems are proved. An iterative method for solving the problem is proposed. Its convergence is investigated.
Keywords: sandwich plate, transversely soft filler, saddle point, existence theorem, uniqueness theorem, iterative method.
Received: 15.11.2014
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: I. B. Badriev, G. Z. Garipova, M. V. Makarov, V. N. Paimushin, R. F. Chabibullin, “On solving physically nonlinear equilibrium problems for sandwich plates with a transversely soft filler”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157, no. 1, Kazan University, Kazan, 2015, 15–24
Citation in format AMSBIB
\Bibitem{BadGarMak15}
\by I.~B.~Badriev, G.~Z.~Garipova, M.~V.~Makarov, V.~N.~Paimushin, R.~F.~Chabibullin
\paper On solving physically nonlinear equilibrium problems for sandwich plates with a~transversely soft filler
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2015
\vol 157
\issue 1
\pages 15--24
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1289}
\elib{https://elibrary.ru/item.asp?id=23465296}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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