Classification of the spatial equilibria of the clamped elastica: Symmetries and zoology of solutions

DOI10.1023/A:1026064603932zbMath1073.74037OpenAlexW1573465504MaRDI QIDQ1431572

Michael E. Henderson, Sébastien Neukirch

Publication date: 11 June 2004

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

Full work available at URL: https://doi.org/10.1023/a:1026064603932

zbMATH Keywords

Kirchhoff equationsphase planeflip symmetry

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (9)

Classifications of ideal 3D elastica shapes at equilibrium ⋮ Deformation of framed curves with boundary conditions ⋮ An elastic model of DNA under thermal induced stress ⋮ Deformation and vibration of a spatial clamped elastica with noncircular cross section ⋮ Numerical solution of a bending-torsion model for elastic rods ⋮ The mechanical behavior of fixed-angle bows ⋮ CLASSIFICATION OF THE SPATIAL EQUILIBRIA OF THE CLAMPED ELASTICA: NUMERICAL CONTINUATION OF THE SOLUTION SET ⋮ Kirchhoff's problem of helical equilibria of uniform rods ⋮ Sufficient Conditions for a Path-Connected Set of Local Solutions to an Optimal Control Problem

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