Intrinsic formulation of the displacement-traction problem in linear shell theory

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Original languageEnglish
Pages (from-to)1243-1250
Journal / PublicationComptes Rendus Mathematique
Issue number11-12
Online published2 Oct 2018
Publication statusPublished - Nov 2018



We recast the Dirichlet boundary conditions satisfied by the displacement field of the middle surface of a linearly elastic shell as boundary conditions satisfied by the corresponding linearized change of metric and of curvature tensor fields. This in turn allows us to give an intrinsic formulation of the linear shell model of W.T. Koiter with these two tensor fields as the sole unknowns.

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