Path-following analysis of thin-walled structures and comparison with asymptotic post-critical solutions

DOI10.1002/nme.494zbMath1098.74691OpenAlexW2149750995MaRDI QIDQ4785199

Giovanni Garcea, Raffaele Casciaro, Giuseppe A. Trunfio

Publication date: 17 December 2002

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.494

zbMATH Keywords

reliabilityaccuracynonlinear elasticitymixed finite elementsthin-walled structurespath-following methods

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Finite element methods applied to problems in solid mechanics (74S05) Thin bodies, structures (74K99)

Related Items (8)

Asymptotic post-buckling FEM analysis using corotational formulation ⋮ On inner shearing constraints for a direct beam model coarsely describing warping ⋮ A Koiter-Newton approach for nonlinear structural analysis ⋮ An accurate and efficient implementation of initial geometrical imperfections in the predictor-corrector reduced-order modeling method ⋮ A novel reduced-order method using mixed nonlinear kinematics for geometrically nonlinear analysis of thin-walled structures ⋮ STOCHASTIC POST-BUCKLING OF FRAMES USING KOITER'S METHOD ⋮ How to improve efficiency and robustness of the Newton method in geometrically non-linear structural problem discretized via displacement-based finite elements ⋮ An efficient isogeometric solid-shell formulation for geometrically nonlinear analysis of elastic shells

Cites Work

• An incremental approach to the solution of snapping and buckling problems
• How to recognize the order of infinitesimal mechanisms: A numerical approach
• Mixed formulation in Koiter analysis of thin-walled beams
• Unnamed Item

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