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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2012, Volume 12, Issue 2, Pages 56–64
DOI: https://doi.org/10.18500/1816-9791-2012-12-2-56-64 (Mi isu297) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Mechanics

Asymptotic integration of dynamic elasticity theory equations in the case of multilayered thin shell

M. V. Wildea, L. Yu. Kossovichb, Yu. V. Shevtsovac

a Saratov State University, Educational Research Institute of Nanostructures and Biosystems
b Saratov State University, Chair of Mathematical Theory of Elasticity and Biomechanics
c Saratov State University, Chair of Geometry
Full-text PDF (169 kB) Citations (8)
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DOI: https://doi.org/10.18500/1816-9791-2012-12-2-56-64
Abstract: Asymptotic integration of elasticity theory 3D equations is fulfilled for the case of multilayered arbitrary-shaped thin-walled shells. The tangential and the transverse long-wave low-frequency approximations are constructed. The governing 2D equations are derived.
Key words: multilayered shells, long-wave low-frequency approximations, asymptotic methods.
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: M. V. Wilde, L. Yu. Kossovich, Yu. V. Shevtsova, “Asymptotic integration of dynamic elasticity theory equations in the case of multilayered thin shell”, Izv. Saratov Univ. Math. Mech. Inform., 12:2 (2012), 56–64
Citation in format AMSBIB
\Bibitem{WilKosShe12}
\by M.~V.~Wilde, L.~Yu.~Kossovich, Yu.~V.~Shevtsova
\paper Asymptotic integration of dynamic elasticity theory equations in the case of multilayered thin shell
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2012
\vol 12
\issue 2
\pages 56--64
\mathnet{http://mi.mathnet.ru/isu297}
\crossref{https://doi.org/10.18500/1816-9791-2012-12-2-56-64}
\elib{https://elibrary.ru/item.asp?id=17747119}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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    References:37
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