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Using Lagrange multipliers in the triangular element of a nonshallow shell under variable interpolation of displacements

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Abstract

We present an algorithmfor calculation of arbitrary thin shells on the basis of a triangular element of discretization with corrective Lagrange multipliers. The stiffness matrix of this element is formed using some ways of approximating displacements as scalar or vector quantities.

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Authors and Affiliations

  1. Volgograd State Agrarian University, Universitetskii pr. 26, Volgograd, 400002, Russia

    Yu. V. Klochkov, A. P. Nikolaev, O. V. Vakhnina & T. A. Kiseleva

Authors
  1. Yu. V. Klochkov
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  2. A. P. Nikolaev
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  3. O. V. Vakhnina
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  4. T. A. Kiseleva
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Corresponding author

Correspondence to Yu. V. Klochkov.

Additional information

Original Russian Text © Yu.V. Klochkov, A.P. Nikolaev, O.V. Vakhnina, T.A. Kiseleva, 2017, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2017, Vol. XX, No. 4, pp. 44–54.

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Klochkov, Y.V., Nikolaev, A.P., Vakhnina, O.V. et al. Using Lagrange multipliers in the triangular element of a nonshallow shell under variable interpolation of displacements. J. Appl. Ind. Math. 11, 535–544 (2017). https://doi.org/10.1134/S1990478917040111

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  • DOI: https://doi.org/10.1134/S1990478917040111

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