Correct asymptotic theories for the axisymmetric deformation of thin and moderately thick cylindrical shells
type: Item
instance of: scholarly article
title: Correct asymptotic theories for the axisymmetric deformation of thin and moderately thick cylindrical shells
zbMATH Open document ID: 0780.73042
DOI: 10.1016/0020-7683(93)90227-X
author: R. Douglas Gregory
author: F. Y. M. Wan
published in: International Journal of Solids and Structures
publication date: 1993-09-07T00:00:00Z
review text: The aim of this important contribution is to bridge the gap between thin shell theory and the exact theory based on three-dimensional elasticity. Authors restrict themselves to a semi-infinite moderately thick (complete) cylindrical shell in axially symmetric deformation, and they consider traction-, displacement-, and mixed edge data. The derivation of the relevant boundary conditions constitutes the main contribution of this paper. The refined shell theory corresponds to a two-term outer asymptotic expansion of the exact solution for small values of the thickness parameter. By means of some examples, it is demonstrated that corrections to the thin shell solutions can be important.
Mathematics Subject Classification ID: 74K15
zbMATH DE Number: 410217
zbMATH Keywords: three-dimensional elasticity
zbMATH Keywords: boundary conditions
zbMATH Keywords: refined shell theory
zbMATH Keywords: outer asymptotic expansion
reviewed by: Hans Bufler
MaRDI profile type: Publication
full work available at URL: 0020-7683(93)90227-x
OpenAlex ID: W2129377789
description: scientific article; zbMATH DE number 410217