We study the equilibrium states of a nonlinearly elastic conducting rod in a magnetic field. The rod, which can undergo flexure, torsion, shear and extension, is welded to fixed supports. The rod carries an electric current and is subjected to a constant magnetic field whose direction is parallel to the line between the supports. The fundamental parameter isλ=IBwhereIis the current in the rod andBis the strength of the magnetic field. For allλ>0 there exists a trivial state in which the rod is straight and untwisted. Here we show that, under the assumption that the rod is hyperelastic, in certain cases bifurcation occurs and hence there are infinitely many non-trivial state
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