Abstract
The problem of buckling of a thin elastic spherical shell inside a spherical cavity of uniformly contracting massive body is considered. This problem arises, for example, when designing pressure vessels made of composite materials with a thin metal cap layer. It is assumed that at the beginning of the compression the shell fits tightly against the wall of the cavity (to the rigid frame). An algorithm for searching the equilibrium state of the shell in the supercritical state is described. As a result of solving the problem, among other things, critical values of compressive strain and shell configuration in the supercritical state were obtained.
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References
Il’yushin, A.A., Plastichnost’ (Plasticity), Moscow: Gostekhizdat, 1948.
Kantor, B.Ya., Kontaktnye zadachi nelineinoi teorii obolochek vrashcheniya (Contact Problems of Nonlinear Theory of Rotated Shells), Kiev: Naukova dumka, 1990.
Mikhailovskii, E.I., Elementy konstruktivno-nelineinoi mekhaniki (Elements of Constructive-Nonlinear Mechanics), Syktyvkar: Izd. Syktyvkar Univ., 2011.
Mikhailovskii, E.I., Ustoichivost’ i zakriticheskoe povedenie uprugikh sistem pri odnostoronnikh ogranicheniyakh na peremeshcheniya (Stability and Overcritical Behavior of Elastic Systems under one-sided constraints for motion), Syktyvkar: Ural Branch RAS, 2004, pp. 32–57.
Chen, H.C. and McMinn, S.J., The stability of a uniformly compressed ring surrounded by a rigid circular surface, Int. J. Mech. Sci., 1966, vol. 8, pp. 433–442.
Buyakov, I.A., The simplest solution for the problem on ring buckling inside a rigid ring, Kosmonavt. Raketostroen., 2004, no. 1(34), pp. 119–130.
Odell, H. and Albeit, W.E., The Filament-Reinforced Motor Case. Aerospace Engineering, Apr, 1962, pp. 52–53, 70–72.
Johns, R.H. and Kaufman, A., Filament-overwrapped metallic cylindrical pressure vessels, Spacecraft, 1967, vol. 4, no. 7, pp. 872–877.
Karmishin, A.V., Lyaskovets, V.A., Myachenkov, V.I., et al., Statika i dinamika tonkostennykh obolochechnykh konstruktsii (Static and Dynamic of Thin-Wall Shell Structures), Moscow: Mashinostroenie, 1975.
Novozhilov, V.V., Teoriya tonkikh obolochek (The Theory of Thin Shells), Leningrad: Suddromgiz, 1962.
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Original Russian Text © I.A. Buyakov, V.A. Berezkin, 2014, published in Problemy Mashinostroeniya i Nadezhnosti Mashin, 2014, No. 5, pp. 30–33.
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Buyakov, I.A., Berezkin, V.A. Buckling of a thin spherical shell inside a spherical cavity of a contracting massive body. J. Mach. Manuf. Reliab. 43, 358–360 (2014). https://doi.org/10.3103/S1052618814050033
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DOI: https://doi.org/10.3103/S1052618814050033