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Journal of Mathematical Sciences

, Volume 238, Issue 2, pp 108–115 | Cite as

Analysis of the Problem of Stability of Thin Shells Compliant to Shear and Compression

  • I. Ye. Bernakevych
  • P. P. Vahin
  • I. Ya. Kozii
  • V. M. Kharchenko
Article
  • 4 Downloads

The problem of stability of shells compliant to shear and compression is studied by the finite-element method. On the basis of relations of the geometrically nonlinear theory of thin shells compliant to shear and compression (six-mode version), we write the key equations for the determination of their initial postcritical state and formulate the corresponding variational problem. A numerical scheme of the finite-element method is constructed for the solution of the problems of stability of these shells. The order of the rate of convergence of the scheme proposed for the numerical solution of the problems of stability is investigated.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • I. Ye. Bernakevych
    • 1
  • P. P. Vahin
    • 1
  • I. Ya. Kozii
    • 1
  • V. M. Kharchenko
    • 1
  1. 1.I. Franko Lviv National UniversityLvivUkraine

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