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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 10, Pages 66–71 (Mi ivm9045)  
This article is cited in 58 scientific papers (total in 58 papers)

Brief communications

Solvability of a physically and geometrically nonlinear problem of the theory of sandwich plates with transversal-soft core

I. B. Badrieva, M. V. Makarovbc, V. N. Paimushinbc

a Chair of Computational Mathematics, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
b Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
c Chair of Structural Strength, Kazan National Research Technical University, 10 K. Marks str., Kazan, 420111 Russia
Full-text PDF (165 kB) Citations (58)
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Abstract: The paper presents a generalized statement of geometrically and physically nonlinear problem of the equilibrium of sandwich plate with transversal-soft core. Generalized statement is formulated as a problem of finding a saddle point of a functional. We investigate the properties of this functional. These properties allow to prove a theorem of solvability of variational problem under consideration.
Keywords: sandwich plate, transversal-soft core, saddle point, theorem of solvability.
Received: 02.04.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 10, Pages 57–60
DOI: https://doi.org/10.3103/S1066369X15100072
Bibliographic databases:
Document Type: Article
UDC: 543.4+544.2+517.958
Language: Russian
Citation: I. B. Badriev, M. V. Makarov, V. N. Paimushin, “Solvability of a physically and geometrically nonlinear problem of the theory of sandwich plates with transversal-soft core”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 10, 66–71; Russian Math. (Iz. VUZ), 59:10 (2015), 57–60
Citation in format AMSBIB
\Bibitem{BadMakPai15}
\by I.~B.~Badriev, M.~V.~Makarov, V.~N.~Paimushin
\paper Solvability of a~physically and geometrically nonlinear problem of the theory of sandwich plates with transversal-soft core
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 10
\pages 66--71
\mathnet{http://mi.mathnet.ru/ivm9045}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 10
\pages 57--60
\crossref{https://doi.org/10.3103/S1066369X15100072}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84941924706}
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  • https://www.mathnet.ru/eng/ivm/y2015/i10/p66
    • This publication is cited in the following 58 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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