On local buckling of thin shells
type: Item
instance of: scholarly article
title: On local buckling of thin shells
zbMATH Open document ID: 0573.73051
DOI: 10.1016/0020-7462(85)90033-2
author: B. George
published in: International Journal of Non-Linear Mechanics
publication date: 1985-01-01T00:00:00Z
review text: A class of problems is considered where the buckling initially starts only in a part of the shell - locally. The stability analysis is focused on the zone of initial buckling. This leads to radical simplification. First the basic hypothesis and stability equations are formulated. Closed-form stability criteria asymptotically exact for very thin shells are discussed. This gives sufficient conditions for the local character of buckling and for the adequacy of the asymptotic approximation. The analysis taking into account the variation of stresses and shape inside the buckling zone results in a check of stability by hand calculations or by simple coding of a desk-top computer. The adequacy of the simplest representation of the stress and strain variation in the buckling zone is tested.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 3915753
zbMATH Keywords: Donnell-Mushtari-Vlasov-Koiter equations
zbMATH Keywords: resistance
zbMATH Keywords: double Fourier series mode
zbMATH Keywords: noncircular and double curvature imperfect cylindrical shells
zbMATH Keywords: zone of initial buckling
zbMATH Keywords: Closed-form stability criteria
zbMATH Keywords: asymptotically exact
zbMATH Keywords: very thin shells
zbMATH Keywords: sufficient conditions
zbMATH Keywords: local character of buckling
zbMATH Keywords: asymptotic approximation
zbMATH Keywords: variation of stresses and shape inside the buckling zone
MaRDI profile type: Publication
full work available at URL: 0020-7462(85)90033-2
OpenAlex ID: W2063915465
description: scientific article; zbMATH DE number 3915753