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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2016, Volume 57, Issue 5, Pages 5–14
DOI: https://doi.org/10.15372/PMTF20160501 (Mi pmtf785) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Nonclassical models of the theory of plates and shells

B. D. Anninab, Yu. M. Volchkovab

a Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Novosibirsk State University, Novosibirsk, 630090, Russia
Full-text PDF (194 kB) Citations (16)
DOI: https://doi.org/10.15372/PMTF20160501
Abstract: Publications dealing with the study of methods of reducing a three-dimensional problem of the elasticity theory to a two-dimensional problem of the theory of plates and shells are reviewed. Two approaches are considered: the use of kinematic and force hypotheses and expansion of solutions of the three-dimensional elasticity theory in terms of the full system of functions. Papers where a three-dimensional problem is reduced to a two-dimensional problem with the use of several approximations of each sought function (stresses and displacements) by segments of the Legendre polynomials are also reviewed.
Keywords: equations of the theory of shells, layered and composite shells, contact problems, Legendre polynomials.
Received: 21.09.2016
English version:
Journal of Applied Mechanics and Technical Physics, 2016, Volume 57, Issue 5, Pages 769–776
DOI: https://doi.org/10.1134/S0021894416050011
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: B. D. Annin, Yu. M. Volchkov, “Nonclassical models of the theory of plates and shells”, Prikl. Mekh. Tekh. Fiz., 57:5 (2016), 5–14; J. Appl. Mech. Tech. Phys., 57:5 (2016), 769–776
Citation in format AMSBIB
\Bibitem{AnnVol16}
\by B.~D.~Annin, Yu.~M.~Volchkov
\paper Nonclassical models of the theory of plates and shells
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2016
\vol 57
\issue 5
\pages 5--14
\mathnet{http://mi.mathnet.ru/pmtf785}
\crossref{https://doi.org/10.15372/PMTF20160501}
\elib{https://elibrary.ru/item.asp?id=27178514}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2016
\vol 57
\issue 5
\pages 769--776
\crossref{https://doi.org/10.1134/S0021894416050011}
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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