BIFURCATION THEORY OF AN ELASTIC CONDUCTING ROD IN A MAGNETIC FIELD

DOI10.1093/QJMAM/41.2.265zbMath0673.73032OpenAlexW2084460094MaRDI QIDQ3827603

Peter Wolfe

Publication date: 1988

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/41.2.265

zbMATH Keywords

flexuretorsionboundary-value problemextensionequilibrium statesconstant magnetic fieldelectric currentshearhomogeneoustransversely isotropichyperelasticinfinitely many non-trivial statesnonlinearly elastic conducting rodsystem of six second-order ordinary differential equationswelded to a fixed support

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Electromagnetic effects in solid mechanics (74F15)

Related Items (3)

Buckling of a nonlinearly elastic column: Variational principles, bifurcation and asymptotics ⋮ Nonlinear stability analysis of a clamped rod carrying electric current ⋮ Magnetically-induced buckling of a whirling conducting rod with applications to electrodynamic space tethers

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