An intrinsic formulation of the Kirchhoff–Love theory of linearly elastic plates

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)565-584
Journal / PublicationAnalysis and Applications
Volume16
Issue number4
Online published11 May 2017
Publication statusPublished - Jul 2018

Abstract

We recast the displacement-traction problem of the Kirchhoff–Love theory of linearly elastic plates as a boundary value problem with the bending moments and stress resultants inside the middle section of the plate as the sole unknowns, instead of the displacement field in the classical formulation. To this end, we show in particular how to recast the Dirichlet boundary conditions satisfied by the displacement field of the middle surface of a plate as boundary conditions satisfied by the bending moments and stress resultants.

Research Area(s)

  • displacement-traction problem, intrinsic boundary conditions, Linear plate theory