On the Unsymmetrical Buckling of the Nonuniform Orthotropic Circular Plates

  • Svetlana M. Bauer
  • Eva B. Voronkova
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8236)


This work is concerned with the numerical study of unsymmetrical buckling of clamped orthotropic plates under uniform pressure. The effect of material heterogeneity on the buckling load is examined. The refined 2D shell theory is employed to obtain the governing equations for buckling of a clamped circular shell.

The unsymmetric part of the solution is sought in terms of multiples of the harmonics of the angular coordinate. A numerical method is employed to obtain the lowest load value, which leads to the appearance of waves in the circumferential direction. It is shown that if the elasticity modulus decreases away from the center of a plate, the critical pressure for unsymmetric buckling is sufficiently lower than for a plate with constant mechanical properties.


Circular plate unsymmetrical buckling inhomogeneity 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Svetlana M. Bauer
    • 1
  • Eva B. Voronkova
    • 1
  1. 1.Department of Theoretical and Applied MechanicsSt.Petersburg State UniversitySt. PetersburgRussia

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