Hidden Asymptotic Symmetry in a Long Elastic Structure

DOI10.1137/19M125162XzbMath1434.74026arXiv1903.08775OpenAlexW3022117996MaRDI QIDQ5110572

Shrinidhi S. Pandurangi, Timothy J. Healey, Nicholas Triantafyllidis

Publication date: 21 May 2020

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.08775

zbMATH Keywords

bifurcationasymptotic analysishidden symmetrybeam-foundation system

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Bifurcation and buckling (74G60)

Cites Work

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• Bifurcation from simple eigenvalues
• Structural localization phenomena and the dynamical phase-space analogy
• Comparative lagrangian formulations for localized buckling
• Localized Elasticae for the Strut on the Linear Foundation
• The Post-Buckling Problem for Thin Elastic Shells

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