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

Philippe G. Ciarlet; Cristinel Mardare

doi:10.1016/j.crma.2018.09.007

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

Philippe G. Ciarlet, Cristinel Mardare

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Abstract

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.

Original language	English
Pages (from-to)	1243-1250
Journal	Comptes Rendus Mathematique
Volume	356
Issue number	11-12
Online published	2 Oct 2018
DOIs	https://doi.org/10.1016/j.crma.2018.09.007
Publication status	Published - Nov 2018

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This full text is made available under CC-BY-NC-ND 4.0. https://creativecommons.org/licenses/by-nc-nd/4.0/

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abstract = "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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AU - Mardare, Cristinel

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AB - 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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DO - 10.1016/j.crma.2018.09.007

M3 - RGC 21 - Publication in refereed journal

SN - 1631-073X

VL - 356

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EP - 1250

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

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ER -

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

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GRF: Two-dimensional Intrinsic Elasticity

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

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GRF: Two-dimensional Intrinsic Elasticity

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