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Application of a tetragonal finite element with a stiffness matrix 36x36 to the design of curved arbitrary shells

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Literature cited

  1. I. E. Mileikovskii and A. K. Kupar, Hypairs [in Russian], Stroizdat, Moscow (1978).

    Google Scholar 

  2. A. O. Rasskazov, Shell Design of the Hyperbolic Paraboloid Type [in Russian], Kiev State Univ. (1972).

  3. C. A. Brebbia and H. A. Hadid, “Analysis of plates and shells using finite elements,” Rev. Roum. Sci. Tech.,18, No. 5, 1–24 (1973).

    Google Scholar 

  4. I. E. Goncharenko, V. N. Kislookii, A. D. Legostaev, et al., “Realization of a finite-element method for complex-shaped curved shells,” in: Resistance of Materials and the Theory of Structures [in Russian], No. XXIII, Budivel'nik, Kiev (1974), pp. 16–25.

    Google Scholar 

  5. V. V. Novozhilov, Thin Shell Theory [in Russian], Leningrad (1962).

  6. A. V. Pogorelov, Differential Geometry [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  7. K. Z. Galimov, “Timoshenko type nonlinear thin shell theory,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 4, 156–166 (1976).

    Google Scholar 

  8. L. I. Sedov, Solid Body Mechanics [in Russian], Vol. 1, Nauka, Moscow (1976).

    Google Scholar 

  9. E. Cetmeli, “Stiffness matrix for a curved finite element and application to general shell theory,” Istanbul Texnik Univ, Bulteni,18, No. 1, 3–9 (1973).

    Google Scholar 

  10. H. Fette, “Vierseitig begrenzte Schalenelemente fur die Verschiebungsgrossen,” in: Finite Elemente in der Statik, Berlin (1973), pp. 216–229.

  11. S. V. Kay and Z. E. Basinger, “Design of thin shells based on the finite element method,” in: Design of Elastic Structures Using a Computer [in Russian], Vol. 1, Sudostroenie, Leningrad (1974), pp. 151–178.

    Google Scholar 

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Authors and Affiliations

  1. Volgograd Construction Engineering Institute, USSR

    N. G. Bandurin, A. P. Nikolaev & T. I. Apraksina

Authors
  1. N. G. Bandurin
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  2. A. P. Nikolaev
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  3. T. I. Apraksina
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Translated from Problemy Prochnosti, No. 5, pp. 104–108, May, 1980.

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Bandurin, N.G., Nikolaev, A.P. & Apraksina, T.I. Application of a tetragonal finite element with a stiffness matrix 36x36 to the design of curved arbitrary shells. Strength Mater 12, 649–654 (1980). https://doi.org/10.1007/BF01118047

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  • DOI: https://doi.org/10.1007/BF01118047

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