A simplified version of Reissner's nonlinear equations for a first- approximation theory of shells of revolution
type: Item
instance of: scholarly article
title: A simplified version of Reissner's nonlinear equations for a first- approximation theory of shells of revolution
zbMATH Open document ID: 0614.73068
published in: Computational Mechanics
publication date: 1987-01-01T00:00:00Z
review text: The static equations of the first-approximation theory of thin shells of revolution suffering small strains but arbitrarily large rotations are reduced, to within errors inherent in the assumption of a quadratic strain-energy density without transverse shear strains, to a coupled pair of equations for the meridional angle of rotation and a stress function. These equations are simpler than both Reissner's equations as well as a simpler version of Reissner's equations proposed by Koiter whose equations, like ours, are virtually free of Poisson's ratio.
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 3995196
zbMATH Keywords: simplified Reissner equations
zbMATH Keywords: first-approximation theory
zbMATH Keywords: thin shells of revolution
zbMATH Keywords: small strains
zbMATH Keywords: arbitrarily large rotations
zbMATH Keywords: quadratic strain- energy density
zbMATH Keywords: coupled pair of equations for the meridional angle of rotation and a stress function
author: J. G. Simmonds
author: Avinoam Libai
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3995196