Encyclopedia of Continuum Mechanics

Living Edition
| Editors: Holm Altenbach, Andreas Öchsner

Buckling and Post-buckling of Plates

  • Basile AudolyEmail author
Living reference work entry
DOI: https://doi.org/10.1007/978-3-662-53605-6_134-1



An elastic plate is a thin, quasi two-dimensional elastic body, whose dimension in one direction (thickness) is much smaller than its dimensions in the perpendicular directions. By definition, and contrary to elastic shells, elastic plates are naturally planar i.e., do not bend out of their midplane. When subject to in-plane loading, plates can give rise to non-planar solutions by a symmetry-breaking bifurcation called buckling. Buckling and post-buckling analyses are concerned with the derivation of buckled solutions to plate theories in the neighborhood of a bifurcation point, using expansion methods.


Owing to their geometry, thin elastic plates can easily bend and are prone to rotations of moderate to large amplitude, even when subjected to relatively small loads. Linear elasticity theory is unable to...


Linear Bifurcation Analysis Buckling Amplitude Fundamental Branch Linear Constitutive Law Plate Model 
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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.California Institute of TechnologyPasadenaUSA
  2. 2.Laboratoire de mécanique des solides, CNRS and École PolytechniquePalaiseauFrance

Section editors and affiliations

  • Karam Sab
    • 1
  1. 1.Laboratoire Navier (UMR 8205), CNRS, ENPC, IFSTTARUniversité Paris-EstMarne-la-ValléeFrance