Nonlinear inelastic buckling of rigid-jointed frames under finite displacements
type: Item
instance of: scholarly article
title: Nonlinear inelastic buckling of rigid-jointed frames under finite displacements
zbMATH Open document ID: 0611.73062
DOI: 10.1007/BF01182132
published in: Acta Mechanica
publication date: 1987-01-01T00:00:00Z
review text: A nonlinear analytical approach for establishing the precise load- carrying capacity of imperfection-sensitive frames, made from ideal elastic-plastic material, is presented. The imperfection sensitivity is due to support eccentricities of columns. Stability criteria for both modes of failure, due to elastic and inelastic buckling, are established. The failure through inelastic buckling occurs for frames exhibiting postbuckling strength or monotonically rising equilibrium paths. The inelastic analysis is approximate with a basic assumption that the overall response of the frame can be predicted by considering the elastoplastic stress distribution at only one single (the most unfavorable) cross-section. Plastic buckling is associated with a limit point instability. Simple formulas for evaluating the stress distribution at the critical sections in both the elastic and inelastic range are assessed. The proposed method is demonstrated by means of a simple two- bar frame for which the overall response from the onset of loading up to failure is determined.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74R20
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74D99
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 3988837
zbMATH Keywords: nonlinear analytical approach
zbMATH Keywords: precise load-carrying capacity
zbMATH Keywords: imperfection-sensitive frames
zbMATH Keywords: ideal elastic-plastic material
zbMATH Keywords: support eccentricities of columns
zbMATH Keywords: Stability criteria
zbMATH Keywords: modes of failure
zbMATH Keywords: elastic and inelastic buckling
zbMATH Keywords: postbuckling strength
zbMATH Keywords: monotonically rising equilibrium paths
zbMATH Keywords: limit point instability
zbMATH Keywords: stress distribution
author: A. N. Kounadis
MaRDI profile type: Publication
cites work: Linear and nonlinear analysis of a nonconservative frame of divergence instability
cites work: An efficient simplified approach for the nonlinear buckling analysisof frames
cites work: Nonlinear elastic limit state analysis of rigid jointed frames
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description: scientific article; zbMATH DE number 3988837