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Journal of Elasticity

, Volume 88, Issue 3, pp 299–309 | Cite as

The Kinematics of Plate Models: A Geometrical Deduction

  • Giuseppe Geymonat
  • Françoise Krasucki
  • Michele Serpilli
Article

Abstract

We present a deduction of the Kirchhoff–Love and Reissner–Mindlin kinematics of a simply-connected plate by using the formal asymptotic development method applied to the compatibility conditions of Saint-Venant and the formula of Cesàro–Volterra. This formal deduction is purely geometrical because we do not use any information coming from the loading or the constitutive behavior.

Keywords

Compatibility conditions Cesàro–Volterra integral Asymptotic expansion Plate models 

Mathematics Subject Classification (2000)

74K20 

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Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  • Giuseppe Geymonat
    • 1
  • Françoise Krasucki
    • 1
  • Michele Serpilli
    • 1
  1. 1.Laboratoire de Mécanique et Génie Civil, UMR 5508Université Montpellier IIMontpellier Cedex 5France

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