Elastic postbuckling analysis via finite element and perturbation techniques. Part 1: Formulation

DOI10.1002/nme.1620330902zbMath0777.73065OpenAlexW2137571234MaRDI QIDQ4029388

Luis A. Godoy, Fernando G. Flores

Publication date: 31 March 1993

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620330902

zbMATH Keywords

stabilitybifurcationequilibriumgeneralized coordinatestotal potential energyshell of revolutiondiscrete elastic systemscritical state analysissemi-analytical approximation

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60) Membranes (74K15)

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Regular and Critical States in Elastic Nonlinear Systems with Displacement Constraints ⋮ Asymptotic post-buckling FEM analysis using corotational formulation ⋮ Bifurcation and post-buckling analysis of bimodal optimum columns ⋮ Koiter-boundary layer singular perturbation method for axially compressed stiffened cylindrical shells ⋮ A perturbation method for the determination of the buckling strength of imperfection-sensitive structures ⋮ Singular perturbations for sensitivity analysis in symmetric bifurcation buckling ⋮ Extrapolation locking and its sanitization in Koiter's asymptotic analysis ⋮ Unnamed Item ⋮ Design sensitivity of post-buckling states including material constraints

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