Singular perturbations for sensitivity analysis in symmetric bifurcation buckling

DOI10.1002/nme.266zbMath1034.74026OpenAlexW1991682139WikidataQ56949272 ScholiaQ56949272MaRDI QIDQ4331349

Luis A. Godoy, Enrique G. Banchio

Publication date: 10 February 2004

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.266

zbMATH Keywords

imperfection sensitivityelastic bucklingloadimperfection parameter

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Bifurcation and buckling (74G60)

Cites Work

• Unnamed Item
• An incremental approach to the solution of snapping and buckling problems
• Construction of branching solutions in a study of the stability of thin-walled structures
• Higher-order sensitivity to imperfections in bifurcation buckling analysis
• Direct calculation of buckling strength of imperfect structures
• Postbuckling behavior and imperfection sensitivity of elastic structures by the Lyapunov-Schmidt-Koiter approach
• A new method to compute perturbed bifurcations: Application to the buckling of imperfect elastic structures
• Critical initial imperfection of structures
• Elastic postbuckling analysis via finite element and perturbation techniques. Part 1: Formulation
• Finite element asymptotic analysis of slender elastic structures: A simple approach

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