The problem of thermal-magneto-elasticity is analyzed theoretically for the current carrying annular plate in magnetic field.It is discussed that the relationship among the electromagnetic field

thermal field

mechanic load and temperature

stress

displacement in the thin current plate.First

the distribution of the current density is obtained based on the electrodynamics equations and thermal Ohm law.Considering the Joule's heat effect and thermal equilibrium equation

the temperature field produced by the Joule's heat effect is got in the current annular thin plate which is placed in the magnetic field.At the same time

the temperature field produced by the external thermal load is got by the heat transfer equation in the annular plate.Assuming two kinds of temperature fields are separate and satisfy the principle of superposition

the heat distribution of the current carrying annular plate can be got.Second

based on the nonlinear kinetic equation of coupling electromagnetic equation

geometrical equation and electrodynamics equation of the current-carrying plate

the basic equations of thermal-magneto-elastic problem are obtained.At last

applying the quasi-linearization iteration method

a sequence of linear iteration ordinary differential equations are obtained and transformed into the normal Cauchy form including eight basic unknown functions.Thus

the problem can be solved by the discrete orthogonal method.The variation regularity is discussed that the stress

temperature and deformation of the current-carrying annular plate are altered with the variation of loaded electromagnetic parameters.According to the relation between the deflection of annular plate and the parameters

it is proved that the deformation and stress can be controlled by changing the electromagnetic and mechanics parameters.