Analysis of two-way snap of shells of revolution
type: Item
instance of: scholarly article
title: Analysis of two-way snap of shells of revolution
zbMATH Open document ID: 0663.73028
DOI: 10.1016/0020-7225(88)90088-2
author: John Whiteman
author: Philip J. Aston
published in: International Journal of Engineering Science
publication date: 1988-01-01T00:00:00Z
review text: The problem of determining the snap and snap back pressures of thin shallow shells of revolution subject to uniform loading is considered. The deformation is modelled using Marguerre's equations and bifurcation and postbuckling analyses are undertaken. A finite element model of the deformation is given and results for snap back are presented.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74K15
zbMATH DE Number: 4085151
zbMATH Keywords: clamped
zbMATH Keywords: simply supported boundary
zbMATH Keywords: Lyapunov-Schmidt reduction
zbMATH Keywords: snap and snap back pressures
zbMATH Keywords: thin shallow shells of revolution
zbMATH Keywords: uniform loading
zbMATH Keywords: bifurcation
zbMATH Keywords: postbuckling
MaRDI profile type: Publication
full work available at URL: 0020-7225(88)90088-2
OpenAlex ID: W2054580945
cites work: Q5729833
cites work: Buckling and postbuckling behavior of spherical caps under axisymmetric load
cites work: Q5615316
cites work: Q3848032
cites work: Optimal Forms of Shallow Shells With Circular Boundary, Part 1: Maximum Fundamental Frequency
cites work: A Numerical Solution of the Nonlinear Equations for Axisymmetric Bending of Shallow Spherical Shells
cites work: On the calculation of limit and bifurcation points in stability problems of elastic shells
cites work: The Calculation of Turning Points of Nonlinear Equations
cites work: Q3776739
cites work: The Computation of Symmetry-Breaking Bifurcation Points
cites work: Q3326480
cites work: On a Variational Theorem for Finite Elastic Deformations
description: scientific article; zbMATH DE number 4085151