Abstract
In the present article a theoretical treatment of magnetothermoelastic stresses and deformations is dealt with in a conducting solid circular cylinder subjected to both internal heat generation due to eddy current loss and Lorentz force by a cyclic variation in time of magnetic field. We assume that a uniform magnetic field whose intensity varies sinusoidally in time acts on the cylinder in a direction parallel to its surface. First, a plane axisymmetrical magnetic field and the associated eddy current in the cylinder due to electromagnetic induction are formulated based on the theory of quasi-stationary electromagnetic field. Next, magnetothermoelastic stresses and deformations in a conducting solid cylinder which is subjected to both a plane axisymmetrical temperature change due to eddy current loss and the Lorentz force are analyzed under the generalized plane strain condition. Finally, we carry out numerical calculations and examine an effect of the frequency in cyclic variation of magnetic field on the electro-magnetic field, current density, temperature change and magnetothermoelastic stress and deformation in the cylinder.
