Bifurcation theory of an elastic conducting wire subject to magnetic forces

DOI10.1007/BF00054803zbMath0704.73083MaRDI QIDQ917398

Peter Wolfe

Publication date: 1990

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

zbMATH Keywords

equilibrium statessymmetry breakingelectric currentimperfect bifurcationnonlinearly elastic wirepair of infinitely long parallel wiresperfectly flexiblesuspended between fixed supports

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Bifurcation and buckling (74G60) Electromagnetic effects in solid mechanics (74F15) Spectral theory; eigenvalue problems on manifolds (58C40) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (2)

Nonlinear stability analysis of a clamped rod carrying electric current ⋮ A theoretical model of magnetoelastic bucking for soft ferromagnetic thin plates

Cites Work

• Bifurcation from simple eigenvalues
• Some aspects of nonlinear eigenvalue problems
• Equilibrium States of an Elastic Conductor in a Magnetic Field: A Paradigm of Bifurcation Theory

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