Abstract
We study the stressed state of a thin cylindrical shell with a circular neck loaded by a constant internal pressure. We start from the equations obtained using Reissner's variational principle applying expansions of the components of the stress tensor and the displacement vector with respect to the coordinates along the normal to the base surface of the shell.
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Literature Cited
I. N. Vekua,Some General Methods of Constructing Different Versions of the Theory of Shells [in Russian], Nauka, Moscow (1982).
Yu. M. Gnativ, “Computation of a cylindrical shell of piecewise-constant thickness loaded by internal pressure”, in:Proceedings of the 11th Conference of Young Scholars Sponsored by the Institute for Problems of Mechanics and Mathematics of the Ukrainian SSR Academy of Sciences, L'vov, 1–3 October, 1985) [in Russian], Pt. 2, 43–47, L'vov (1987).
Yu. D. Zozulyak and Yu. M. Gnativ, “Application of the variational-moment approach to problem of the theory of elasticity of shells”,Mat. Met. Fiz.-Mekh. Polya, No. 33, 56–59 (1991).
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Translated fromMatematichni Metody i Fiziko-Mekhanichni Polya, Vol. 38, 1995.
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Gnativ, Y.M. The stressed state of a cylindrical shell with a circular neck loaded by internal pressure. J Math Sci 81, 3076–3079 (1996). https://doi.org/10.1007/BF02362598
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DOI: https://doi.org/10.1007/BF02362598