Global bifurcation of an elastic conducting rod in a magnetic field

SIAM Journal on Mathematical Analysis

Volumn 27, Issue 2, 1996, Pages 528-542

  Wolfe, Peter ^a  

^a Bldg 142   (United States)

Author keywords

Cosserat rods; Eigenvalues; Global bifurcation; Nonlinear elasticity; Symmetry

Indexed keywords

EID: 0030525836     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141094263056     Document Type: Article

References (8)

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4. T. J. HEALEY, Global bifurcation in the presence of symmetry with an application to solid mechanics, SIAM J. Math. Anal., 19 (1988), pp. 824-840.
5. _, Large rotating states of a conducting elastic wire in a magnetic field: Subtle symmetry and multiparameter bifurcation, J. Elasticity, 24 (1990), pp. 211-227.
6. T. SEIDMAN AND P. WOLFE, Equilibrium states of an elastic conductor in a magnetic field, Arch. Rational Mech. Anal., 102 (1988), pp. 307-329.
7. P. WOLFE, Bifurcation theory of an elastic conducting rod in a magnetic field, Quart. J. Mech. Appl. Math., 41 (1988), pp. 265-279.
8. _, Rotating states of an elastic conductor, in Physical Mathematics and Nonlinear Partial Differential Equations, J. Lightbourne and S. Rankin, eds., Dekker, New York, 1985, pp. 213-222.