Postbuckling Behaviour and Stability of Anisotropic Shells

  • Natalia I. Obodan
  • Olexandr G. Lebedeyev
  • Vasilii A. Gromov
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 199)


Stability, buckling modes and postbuckling behaviour of anisotropic shells are investigated. Such structural features as multilayering, delamination of layers, and non-coincident rigidity parameters in coordinate directions are considered. The proper energy functional as the basis of numerical analysis of nonlinear behaviour is derived. The numerical algorithm to build and investigate solutions and its branching is applied. Spherical segment and cylindrical shell with delamination area under external pressure are chosen for detailed analysis. Typical forms of instability: general buckling with joint deformation of partially delaminated layers, local buckling with inner layer snap-off are studied. The critical loads and existence domains for various postbuckling shapes are determined. The initial imperfections of geometry and load profile as the trigger of transition to local postbuckling deformed shapes are considered. The influence of thickness and stiffness of layers, of the size of delamination area are investigated. The applicability of simplified models of buckling analysis is studied. The necessity to consider complete branching pattern and postbuckling local shapes is emphasized.


Critical Load Local Buckling Initial Imperfection Spherical Segment Anisotropic Shell 
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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • Natalia I. Obodan
    • 1
  • Olexandr G. Lebedeyev
    • 2
  • Vasilii A. Gromov
    • 3
  1. 1.Oles Honchar Dnepropetrovsk National UniversityDnepropetrovskUkraine
  2. 2.Atlantis Industrial SystemsDnepropetrovskUkraine
  3. 3.Oles Honchar Dnepropetrovsk National UniversityDnepropetrovskUkraine

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