Buckling of thick cylindrical shells under external pressure: a new analytical expression for the critical load and comparison with elasticity solutions
type: Item
instance of: scholarly article
title: Buckling of thick cylindrical shells under external pressure: a new analytical expression for the critical load and comparison with elasticity solutions
zbMATH Open document ID: 1205.74051
author: George Papadakis
published in: International Journal of Solids and Structures
publication date: 2009-08-31T00:00:00Z
full work available at URL: http://hdl.handle.net/10044/1/15386
review text: The theory of \textit{G. Z. Voyiadjis} and \textit{G. Shi} [Int. J. Solids Struct. 27, No.~3, 261--282 (1991; Zbl 0731.73082)] is used in this article for estimation of stress and moment resultants and for the derivation of an improved analytical expression for buckling load for thick isotropic shells under external hydrostatic pressure. The accuracy of the derived expressions is assessed against benchmark results obtained from the numerical solution of differential stability equations of \textit{V. V. Novozhilov} [Foundations of the nonlinear elasticity theory. Rochester, N. Y.: Graylock Press (1953; Zbl 0051.16305)]. It is shown that the new analytic expressions provide significantly improved predictions compared to the formula based on the thin shell theory.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74K25
Mathematics Subject Classification ID: 74G05
zbMATH DE Number: 5600209
zbMATH Keywords: hydrostatic pressure
zbMATH Keywords: differential stability equations
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
OpenAlex ID: W2081023906
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DOI: 10.1016/J.IJSOLSTR.2008.05.027
description: scientific article; zbMATH DE number 5600209