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Moment scheme of the finite-element method in geometrically nonlinear problems regarding the strength and stability of shells

  • Scientific-Technical Section
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Strength of Materials Aims and scope

Conclusions

  1. 1.

    The finite-element method may be successfully and effectively used in solving problems regarding the strength and stability of sloping and nonsloping shells and plates. The rejection of the simplifying hypotheses made in the theory of shells and also the allowance made for the rigid displacement of the body enables the results of the theory of thin plates and shells to be refined, the limits of its applicability to be established, and a faster convergence of the results to be achieved as compared with other versions of the finite-element method.

  2. 2.

    The algorithm employed for the solution of geometrically nonlinear problems offers the possibility of studying the hypercritical behavior of sloping and nonsloping shells in the best possible way.

  3. 3.

    The version of the MSFE here described may also be used in solving physically nonlinear problems and problems regarding the dynamics of plates and shells.

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Literature Cited

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Authors
  1. V. N. Kislookii
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  2. A. S. Sakharov
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  3. N. A. Solovei
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Additional information

Kiev Institute of Building Engineers, Kiev. Translated from Problemy Prochnosti, No. 7, pp. 25–32, July, 1977.

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Kislookii, V.N., Sakharov, A.S. & Solovei, N.A. Moment scheme of the finite-element method in geometrically nonlinear problems regarding the strength and stability of shells. Strength Mater 9, 808–817 (1977). https://doi.org/10.1007/BF01529016

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  • DOI: https://doi.org/10.1007/BF01529016

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