Validation of Classical Beam and Plate Models by Variational Convergence

  • Paolo Podio-Guidugli
Conference paper
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 9)

Abstract

This paper consists of three parts: the first has to do with a method of deduction by scaling of linearly elastic structure models, starting from a displacement formulation of variational equilibrium in three-dimensional linear elasticity; the second part is devoted to elucidating the role of second-gradient elastic energy in the derivation of structure models capable of shearing deformations; in the last part, a validation by Gamma-convergence of the Reissner-Mindlin plate model is offered.

Keywords

Timoshenko beam theory Reissner-Mindlin plate theory variational convergence 

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References

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Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  • Paolo Podio-Guidugli
    • 1
  1. 1.Dipartimento di Ingegneria CivileUniversità di Roma TorVergataViale PolitecnicoItaly

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