A mathematical model of Koiter’s type for a nonlinearly elastic “almost spherical” shell

Philippe G. Ciarlet; Cristinel Mardare

doi:10.1016/j.crma.2016.10.011

A mathematical model of Koiter’s type for a nonlinearly elastic “almost spherical” shell

Department of Mathematics

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

7 Citations (Scopus)

Abstract

We propose a new nonlinear shell model of Koiter's type, i.e. one that combines membrane and flexural strains, which can be used in the case where the middle surface of the undeformed shell is “almost spherical”, in the sense that its Gaussian curvature K_ε and mean curvature H_ε satisfy K_ε= H_ε²+ O(ε²), where 2ε denotes the thickness of the shell.

Original language	English
Pages (from-to)	1241-1247
Journal	Comptes Rendus de l'Académie des Sciences - Series I - Mathematics
Volume	354
Issue number	12
Online published	31 Oct 2016
DOIs	https://doi.org/10.1016/j.crma.2016.10.011
Publication status	Published - Dec 2016

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title = "A mathematical model of Koiter{\textquoteright}s type for a nonlinearly elastic “almost spherical” shell",

abstract = "We propose a new nonlinear shell model of Koiter's type, i.e. one that combines membrane and flexural strains, which can be used in the case where the middle surface of the undeformed shell is “almost spherical”, in the sense that its Gaussian curvature Kε and mean curvature Hε satisfy Kε = Hε2 + O(ε2), where 2ε denotes the thickness of the shell.",

author = "Ciarlet, \{Philippe G.\} and Cristinel Mardare",

year = "2016",

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AU - Ciarlet, Philippe G.

AU - Mardare, Cristinel

PY - 2016/12

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N2 - We propose a new nonlinear shell model of Koiter's type, i.e. one that combines membrane and flexural strains, which can be used in the case where the middle surface of the undeformed shell is “almost spherical”, in the sense that its Gaussian curvature Kε and mean curvature Hε satisfy Kε = Hε2 + O(ε2), where 2ε denotes the thickness of the shell.

AB - We propose a new nonlinear shell model of Koiter's type, i.e. one that combines membrane and flexural strains, which can be used in the case where the middle surface of the undeformed shell is “almost spherical”, in the sense that its Gaussian curvature Kε and mean curvature Hε satisfy Kε = Hε2 + O(ε2), where 2ε denotes the thickness of the shell.

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U2 - 10.1016/j.crma.2016.10.011

DO - 10.1016/j.crma.2016.10.011

M3 - RGC 21 - Publication in refereed journal

SN - 1631-073X

VL - 354

SP - 1241

EP - 1247

JO - Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

JF - Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

IS - 12

ER -

A mathematical model of Koiter’s type for a nonlinearly elastic “almost spherical” shell

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GRF: Contributions to the Mathematical Foundations of the Theory of Nonlinearly Elastic Shells

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A mathematical model of Koiter’s type for a nonlinearly elastic “almost spherical” shell

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GRF: Contributions to the Mathematical Foundations of the Theory of Nonlinearly Elastic Shells

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