Nonlinear Numerical Analysis of The Plate Based on Thermo-Magneto-Mechanical Coupling

Abstract

Abstract The thermo-magneto-elastic problems of the thin rectangular plate under the interaction of mechanical field, temperature field, and electromagnetic field are studied. On the basis of the geometric equations, physical equations, kinetic equations, and electrodynamics equations of the plate, the thermo-magneto-elastic basic equations of a thin rectangular plate are developed. According to Joule’s heat effect in the electromagnetic field and thermal equilibrium equation, temperature field in the thin rectangular plate, integral eigenvalues are derived. Adopting the difference, the quasi-linearization methods, quasilinear differential equations are obtained. Change rules of the stresses, temperatures, and deformations in the thin rectangular plate with electromagnetic parameters are analysed. It is confirmed that the stresses, strains, and temperatures in the plates can be dominated by altering electromagnetic and mechanical parameters through an example calculation.