A nonlinear shell model of Koiter's type

Philippe G. Ciarlet; Cristinel Mardare

doi:10.1016/j.crma.2017.12.005

Author(s)

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	227-234
Journal / Publication	Comptes Rendus de l'Académie des Sciences - Series I - Mathematics
Volume	356
Issue number	2
Online published	5 Jan 2018
Publication status	Published - Feb 2018

Link(s)

DOI	DOI https://doi.org/10.1016/j.crma.2017.12.005 Final Published version
	Check@CityULib
Attachment(s)	Documents 23731222.pdf Final Published version, 302 KB, PDF Publisher's Copyright Statement This full text is made available under CC-BY-NC-ND 4.0. https://creativecommons.org/licenses/by-nc-nd/4.0/
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85039908295&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(8b69f01a-fc5a-483c-9656-03e0548884af).html

Abstract

We define a new two-dimensional nonlinear shell model "of Koiter's type" that can be used for the modeling of any type of shell and boundary conditions and for which we establish an existence theorem. The model uses a specific three-dimensional stored energy function of Ogden's type that satisfies all the assumptions of John Ball's fundamental existence theorem in three-dimensional nonlinear elasticity and that is adapted here to the modeling of thin nonlinearly elastic shells by means of specific deformations that are quadratic with respect to the transverse variable.