Classification of the spatial equilibria of the clamped elastica: Symmetries and zoology of solutions
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Publication:1431572
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
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Explicit solutions of equilibrium problems in solid mechanics (74G05)
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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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