Versatile benchmark model reproducing snap-through, asymmetric, symmetric unstable/stable, and multiple bifurcation including hill-top branching in structural instability

DOI10.1016/j.cma.2022.115719OpenAlexW4309634431WikidataQ123267626 ScholiaQ123267626MaRDI QIDQ2679505

Kiyohiro Ikeda, Fumio Fujii, Masato Tanaka

Publication date: 20 January 2023

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2022.115719

zbMATH Keywords

stability problemsmultiple bifurcationHill-top branchingbenchmark modelpath branching

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Biology and other natural sciences (92-XX)

Cites Work

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• Large-deflection analysis of shell structure by using corotational total Lagrangian formulation
• Imperfect bifurcation in structures and materials. Engineering use of group-theoretic bifurcation theory.
• A co-rotational finite element formulation for buckling and postbuckling analyses of spatial beams
• Buckling and free vibration analysis of non-prismatic columns using optimized shape functions and Rayleigh method
• Multiple bifurcation paths visualized by a computational asymptotic stability theory
• Computational two-mode asymptotic bifurcation theory combined with hyper dual numbers and applied to plate/shell buckling
• Hill-top branching: its asymptotically expanded and visually solved bifurcation equations

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