Writhing instabilities of twisted rods: From infinite to finite length

DOI10.1016/S0022-5096(01)00130-2zbMath1027.74026OpenAlexW2071518050MaRDI QIDQ1612657

J. M. T. Thompson, Sébastien Neukirch, G. H. M. Van Der Heijden

Publication date: 25 August 2002

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-5096(01)00130-2

zbMATH Keywords

hysteresisbifurcationbucklingfinite deformationinfinite rodsemi-infinite rodBernoulli-Euler rodelastic rod stabilityfinite rodtwisting couples

Mathematics Subject Classification ID

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

Related Items (4)

Deformation and vibration of a spatial clamped elastica with noncircular cross section ⋮ Continuation of equilibria and stability of slender elastic rods using an asymptotic numerical method ⋮ The mode branching route to localization of the finite-length floating elastica ⋮ Michael Thompson: his seminal contributions to nonlinear dynamics -- and beyond

Cites Work

• Instability and self-contact phenomena in the writhing of clamped rods.
• Cellular buckling in long structures
• Helical and localised buckling in twisted rods: A unified analysis of the symmetric case
• Stability predictions through a succession of folds
• From helix to localized writhing in the torsional post-buckling of elastic rods
• Stability of Two Planar Loop Elasticas
• Isoperimetric conjugate points with application to the stability of DNA minicircles
• Global curvature, thickness, and the ideal shapes of knots
• CLASSIFICATION OF THE SPATIAL EQUILIBRIA OF THE CLAMPED ELASTICA: NUMERICAL CONTINUATION OF THE SOLUTION SET
• Towards a classification of Euler–Kirchhoff filaments
• Nonlinear problems of elasticity

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