On stability analyses of three classical buckling problems for the elastic strut

DOI10.1007/s10659-010-9299-9zbMath1320.74046OpenAlexW1987769066MaRDI QIDQ1937143

Daniel M. Peters, Oliver M. O'Reilly

Publication date: 11 February 2013

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-010-9299-9

zbMATH Keywords

variational methodsbucklingelastic stabilityelastica

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60)

Related Items (8)

Nonlinear stability criteria for tree-like structures composed of branched elastic rods ⋮ Extensibility effects on Euler elastica's stability ⋮ An improved proof of instability of some Euler elasticas ⋮ On Jacobi's condition for the simplest problem of calculus of variations with mixed boundary conditions ⋮ Static and dynamic stability results for a class of three-dimensional configurations of Kirchhoff elastic rods ⋮ A catalogue of stable equilibria of planar extensible or inextensible elastic rods for all possible Dirichlet boundary conditions ⋮ Stability estimates for a twisted rod under terminal loads: a three-dimensional study ⋮ Stability to discontinuous perturbations for one inflexion Euler elasticas with one end fixed and the other clamped in rotation

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