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Determining the elastic equilibrium of a cylindrical shell by Vekua’s theory based on the classical elasticity theory and the theory of binary mixtures

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Abstract

Using the approach based on separation of variables, an analytic solution of the class of boundary value problems of the shallow cylindrical shell theory is constructed by Vekua’s method. The cylindrical shell is assumed to be rectangular in the plan. Conditions of a free support or sliding fixation are given on the sides of the rectangle; the load on the shell being arbitrary. The solution of boundary value problems is constructed using both a classical elastic medium and the theory of binary mixtures. Analysis of the constructed solutions is carried out.

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Authors and Affiliations

  1. I.Vekua Institute of Applied Mathematics of Iv, Javakhishvili Tbilisi State University, 0186 University Street 2, Tbilisi, Georgia

    N. Khomasuridze, R. Janjgava & N. Zirakashvili

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  1. N. Khomasuridze
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  2. R. Janjgava
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  3. N. Zirakashvili
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Correspondence to N. Khomasuridze.

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Khomasuridze, N., Janjgava, R. & Zirakashvili, N. Determining the elastic equilibrium of a cylindrical shell by Vekua’s theory based on the classical elasticity theory and the theory of binary mixtures. Arch Appl Mech 81, 531–542 (2011). https://doi.org/10.1007/s00419-010-0426-7

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  • DOI: https://doi.org/10.1007/s00419-010-0426-7

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