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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2010, Volume 51, Issue 5, Pages 147–154
(Mi pmtf1649)
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This article is cited in 9 scientific papers (total in 9 papers)
Equilibrium of an elastic spherical shell filled with a heavy fluid under pressure
A. Kolesnikov Southern Federal University, Rostov-on-Don 344010, Russia
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
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
Linking options:
https://www.mathnet.ru/eng/pmtf1649 https://www.mathnet.ru/eng/pmtf/v51/i5/p147
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