Abstract
In the present study, dynamic and quasi-static behaviors of magneto-thermo-elastic stresses and deformations in a conducting infinite plate subjected to an arbitrary variation of magnetic field are investigated. It is assumed that a time-varying magnetic field which is defined by an arbitrary function of time acts on both side surfaces of the infinite plate in the direction parallel to its surfaces. Fundamental equations of one-dimensional electromagnetic, temperature and elastic fields are formulated. Then, solutions of magnetic field, eddy current, temperature change and both dynamic and quasi-static solutions of stresses and deformations are analytically derived. The solutions of stresses are determined to be sums of thermal stress caused by eddy current loss and magnetic stress caused by Lorentz force. The dynamic and quasi-static behaviors of the stresses are examined by numerical calculations.
