A facet-like shell theory
type: Item
instance of: scholarly article
title: A facet-like shell theory
zbMATH Open document ID: 0556.73070
DOI: 10.1016/0020-7225(84)90024-7
author: L. S. D. Morley
published in: International Journal of Engineering Science
publication date: 1984-01-01T00:00:00Z
review text: A linear theory for facet-like thin elastic shells is derived where strain/displacement, curvature change/displacement and constitutive relations appear the same as for flat plates. Application of Koiter's arguments shows that the theory is a valid first approximation. The theory is of interest for limiting cases of faceted finite element analysis of smooth shells. Although the final equations of facet-like shell theory do not have quite as simple a form as more conventional equations it is possible that their derivation from equations for flat plates may appeal to engineers. A specialization of the equations is given to circular cylindrical shells where four simple illustrative examples show no essential differences with results from more conventional theory.
Mathematics Subject Classification ID: 74K15
zbMATH DE Number: 3887218
zbMATH Keywords: strain/displacement relation
zbMATH Keywords: curvature change/displacement relation
zbMATH Keywords: linear theory
zbMATH Keywords: facet-like thin elastic shells
zbMATH Keywords: constitutive relations
zbMATH Keywords: Koiter's arguments
zbMATH Keywords: first approximation
zbMATH Keywords: faceted finite element analysis of smooth shells
zbMATH Keywords: circular cylindrical shells
MaRDI profile type: Publication
full work available at URL: 0020-7225(84)90024-7
OpenAlex ID: W2028081758
cites work: A simple triangular facet shell element with applications to linear and non-linear equilibrium and elastic stability problems
cites work: Q3875490
cites work: Q3848032
cites work: Q5822995
cites work: Study of trial functions in shell triangular finite elements of quadratic parametric representation
cites work: AN IMPROVEMENT ON DONNELL'S APPROXIMATION FOR THIN-WALLED CIRCULAR CYLINDERS
description: scientific article; zbMATH DE number 3887218