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

Author(s)

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	1241-1247
Journal / Publication	Comptes Rendus de l'Académie des Sciences - Series I - Mathematics
Volume	354
Issue number	12
Online published	31 Oct 2016
Publication status	Published - Dec 2016

Link(s)

DOI	DOI https://doi.org/10.1016/j.crma.2016.10.011 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84996489038&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(138094dd-cdc9-4765-88ad-e322ace4943e).html

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.

Citation Format(s)

[ RIS ] [ BibTeX ]

A mathematical model of Koiter’s type for a nonlinearly elastic “almost spherical” shell. / Ciarlet, Philippe G.; Mardare, Cristinel.
In: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Vol. 354, No. 12, 12.2016, p. 1241-1247.

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

Ciarlet, PG & Mardare, C 2016, 'A mathematical model of Koiter’s type for a nonlinearly elastic “almost spherical” shell', Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 354, no. 12, pp. 1241-1247. https://doi.org/10.1016/j.crma.2016.10.011

Ciarlet, P. G., & Mardare, C. (2016). A mathematical model of Koiter’s type for a nonlinearly elastic “almost spherical” shell. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 354(12), 1241-1247. https://doi.org/10.1016/j.crma.2016.10.011

Ciarlet PG , Mardare C. A mathematical model of Koiter’s type for a nonlinearly elastic “almost spherical” shell. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 2016 Dec;354(12):1241-1247. Epub 2016 Oct 31. doi: 10.1016/j.crma.2016.10.011

Ciarlet, Philippe G. ; Mardare, Cristinel. / A mathematical model of Koiter’s type for a nonlinearly elastic “almost spherical” shell. In: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 2016 ; Vol. 354, No. 12. pp. 1241-1247.