Asymptotic-numerical method for buckling analysis of shell structures with large rotations

DOI10.1016/j.cam.2003.05.010zbMath1051.74015OpenAlexW2070155339MaRDI QIDQ1877234

M. Boudi, Michel Potier-Ferry, El Hassan Boutyour, Hamid Zahrouni

Publication date: 16 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.05.010

zbMATH Keywords

Padé approximantsbifurcation indicator

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) Bifurcation and buckling (74G60) Shells (74K25)

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Cites Work

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• A numerical continuation method based on Padé approximants
• Computing finite rotations of shells by an asymptotic-numerical method
• A new method to compute perturbed bifurcations: Application to the buckling of imperfect elastic structures
• A path-following technique via an asymptotic-numerical method
• A general procedure for the direct computation of turning and bifurcation points
• Stability of thin-shell structures and imperfection sensitivity analysis with the Asymptotic Numerical Method
• Asymptotic–numerical methods and Pade approximants for non‐linear elastic structures
• Three‐dimensional extension of non‐linear shell formulation based on the enhanced assumed strain concept
• High-order predictor-corrector algorithms
• A class of mixed assumed strain methods and the method of incompatible modes

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