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A variant of the theory of thick multilayer cylindrical shells

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Polymer Mechanics Aims and scope

Abstract

Equations are derived which describe the stress field in thick orthotropic cylindrical shells of a material whose mechanical properties vary across the thickness. An iterative computation procedure is set up which takes into account transverse strains and where the initial approximation corresponds to the hypothesis of straight normals. The convergence of this method is estimated for the case of a thick orthotropic cylinder under axisymmetric strain, and the results are compared with the exact solution.

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Literature cited

  1. S. A. Ambartsumyan, in: Proceedings of the Seventh All-Union Conference on Theory of Shells and Plates [in Russian], Moscow (1970), p. 58.

  2. S. A. Ambartsumyan, Mekhan. Polim., No. 5, 884 (1970).

  3. V. Z. Vlasov, Selected Articles [in Russian], Vol. 1, Moscow (1962).

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Additional information

Institute of Civil-Aviation Engineers, Moscow. Scientific-Research Institute of Chemical Apparatus Design, Northern Donets Branch. Translated from Mekhanika Polimerov, No. 6, pp. 1071–1078, November–December, 1974.

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Vasil'ev, V.V., Nazarenko, V.G. A variant of the theory of thick multilayer cylindrical shells. Polymer Mechanics 10, 922–927 (1974). https://doi.org/10.1007/BF00856243

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  • DOI: https://doi.org/10.1007/BF00856243

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