A refined two-dimensional theory for thick cylindrical shells
type: Item
instance of: scholarly article
title: A refined two-dimensional theory for thick cylindrical shells
zbMATH Open document ID: 0731.73082
DOI: 10.1016/0020-7683(91)90082-Q
author: George Z. Voyiadjis
author: Guangyu Shi
published in: International Journal of Solids and Structures
publication date: 1991-01-01T00:00:00Z
review text: In the last period a refined linear theory of thin shells was developed, based on the Love-Kirchhoff assumption with neglecting of the radial stresses. For thick shells, the error introduced by these assumptions is quite large. In the paper is developed a two-dimensional theory for thick cylindrical shells, by considering the transverse shear deformations, the initial curvature and the radial stresses. The constitutive equations for thick shells are obtained and applications to circular arch subjected to pure bending and thick cylinder subjected to uniform pressure are given in the paper.
reviewed by: V.Gioncu
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74K15
zbMATH DE Number: 4209745
zbMATH Keywords: out-of-plane stress components
zbMATH Keywords: fraction boundary conditions
zbMATH Keywords: three- dimensional elasticity equations
zbMATH Keywords: integral form of equilibrium equations
zbMATH Keywords: stress resultants
zbMATH Keywords: stress couples
zbMATH Keywords: transverse shear deformations
zbMATH Keywords: initial curvature
zbMATH Keywords: radial stresses
zbMATH Keywords: circular arch
zbMATH Keywords: pure bending
zbMATH Keywords: uniform pressure
MaRDI profile type: Publication
full work available at URL: 0020-7683(91)90082-q
OpenAlex ID: W2051460404
description: scientific article; zbMATH DE number 4209745