Magnetoelastic deformation of conductive semilinear hyperelastic solids

Abstract. This work investigates the radial deformation of conductive magneto-hyperelastic solid cylinder subject to azimuthal magnetic field. It shows effect current density on solid. A simple magnetoelastic energy function is proposed for under consideration such that its purely elastic part corresponds strain well-known semilienar hyperelastic materials. The consequent magnetoelasticity field equations, in conjunction with accompanying boundary conditions, are specialized application problem cylinder. obtained constitutive model stress distribution solids sensitive induction while associated at point within deformation-dependent. Furthermore, it revealed produced by steady increases along radius. Finally, and among other things, graphical illustration axial magnitude displacement points significantly pronounced.