THERMAL MAGNETIC ELASTISITY ANALYSYS IN THIN CURRENT-CARRYING SPHERICAL SEGMENT SHELL

In a symmetrical current-carrying thin shell, the magnetic-elasticity coupling equations were built according to geometrical equations, physical equations, motion equations and electrodynamics equations. The temperature field in the thin shell is obtained after considering the Joul’s heat effect and inducting the thermal equilibrium equation and generalized Ohm’s law. The normal Cauchy form nonlinear differential equations including eight basic unknown functions are obtained from a variable replacement method. Through the difference method and quasi-linearization method, the quasi-linearization difference equations which could be solved by the discrete orthogonalization method are gotten. The expression of Lorenz force and the temperature field eigenvalues of integral were derived. The variant regularity of the stress, temperature and deformation in the current-carrying spherical segment, and the varying law with loaded electromagnetic parameter are discussed. It is proved from an example that the deformation and stress can be controlled by means of changing the electromagnetic and mechanics parameters.