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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2010, Volume 51, Issue 5, Pages 147–154 (Mi pmtf1649)  
This article is cited in 8 scientific papers (total in 8 papers)

Equilibrium of an elastic spherical shell filled with a heavy fluid under pressure

A. Kolesnikov

Southern Federal University, Rostov-on-Don 344010, Russia
Full-text PDF (283 kB) Citations (8)
Abstract: This paper considers the problem of equilibrium of a nonlinearly elastic spherical shell filled with a heavy fluid and resting on a smooth, absolutely rigid, flat surface. The weight of the shell is assumed to be negligible in comparison with the weight of the fluid filling it. The contact region with the supporting plane is one of the unknowns in the problem. Equilibrium equations for a membrane shell are obtained in an accurate nonlinear formulation. Stresses and strains of a shell made of a Mooney–Rivlin material are numerically investigated. The results are compared with calculation results for the case of inflation of a spherical shell ignoring the weight of the fluid filling. The effect of the fluid weight on shell strains and stresses is estimated.
Keywords: thighly elastic shell, nonlinear shell theory, membrane, contact problem, interaction of fluid, solid.
Received: 27.02.2009
Accepted: 25.06.2009
English version:
Journal of Applied Mechanics and Technical Physics, 2010, Volume 51, Issue 5, Pages 744–750
DOI: https://doi.org/10.1007/s10808-010-0094-y
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: A. Kolesnikov, “Equilibrium of an elastic spherical shell filled with a heavy fluid under pressure”, Prikl. Mekh. Tekh. Fiz., 51:5 (2010), 147–154; J. Appl. Mech. Tech. Phys., 51:5 (2010), 744–750
Citation in format AMSBIB
\Bibitem{Kol10}
\by A.~Kolesnikov
\paper Equilibrium of an elastic spherical shell filled with a heavy fluid under pressure
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2010
\vol 51
\issue 5
\pages 147--154
\mathnet{http://mi.mathnet.ru/pmtf1649}
\elib{https://elibrary.ru/item.asp?id=15234928}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2010
\vol 51
\issue 5
\pages 744--750
\crossref{https://doi.org/10.1007/s10808-010-0094-y}
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  • https://www.mathnet.ru/eng/pmtf1649
  • https://www.mathnet.ru/eng/pmtf/v51/i5/p147
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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