On the nonlinear buckling and post-buckling analysis of thin elastic shells
type: Item
instance of: scholarly article
title: On the nonlinear buckling and post-buckling analysis of thin elastic shells
zbMATH Open document ID: 0552.73031
DOI: 10.1016/0020-7462(84)90008-8
author: H. Stumpf
published in: International Journal of Non-Linear Mechanics
publication date: 1984-01-01T00:00:00Z
review text: The aim of the paper is to determine the critical and post-critical behaviour of elastic structures in the frame of a geometrically nonlinear shell theory with moderate rotations. For the fundamental equilibrium path, critical points and post-critical path, a variational method is used, and the equilibrium equation and boundary conditions are obtained in a compact form using an appropriate operator description. The problem of determining the critical values and post-critical path is solved by using the static perturbation technique in the neighbourhood of a critical point. The example refers to a shallow circular cylinder panel with two opposite edges hinged and the other two free, loaded by a central point and axial compression. For a symmetric deformation, it is shown that the collection of critical points is a cusp catastrophe.
reviewed by: V.Gioncu
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 3880204
zbMATH Keywords: critical and post-critical behaviour
zbMATH Keywords: geometrically nonlinear shell theory
zbMATH Keywords: moderate rotations
zbMATH Keywords: fundamental equilibrium path
zbMATH Keywords: critical points
zbMATH Keywords: post-critical path
zbMATH Keywords: equilibrium equation
zbMATH Keywords: boundary conditions
zbMATH Keywords: compact form
zbMATH Keywords: operator description
zbMATH Keywords: static perturbation
zbMATH Keywords: shallow circular cylinder panel
zbMATH Keywords: two opposite edges hinged
zbMATH Keywords: other two free
zbMATH Keywords: axial compression
zbMATH Keywords: symmetric deformation
zbMATH Keywords: cusp catastrophe
MaRDI profile type: Publication
full work available at URL: 0020-7462(84)90008-8
OpenAlex ID: W2051661131
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description: scientific article; zbMATH DE number 3880204