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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 11 scientific papers (total in 11 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
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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 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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