Induction heating of thin metal plates in time-varying external magnetic field solved as nonlinear hard-coupled problem

Keywords: Induction heating Electric field Temperature field Hard-coupled formulation Higher-order finite element method a b s t r a c t A novel mathematical model of local induction heating of very thin metal plates in an external time-variable magnetic field is suggested. Distribution of eddy currents induced in the plate is modelled by electric vector T-potential and thermal fluxes in the systems are expressed in terms of heat sources and sinks. Analysed are also the thermoelastic displacements in the plate, their back influence on the discretization mesh and distribution of the electromagnetic and thermal quantities. Numerical solution of the problem is carried out in the hard-coupled formulation. The methodology is illustrated by a typical example whose results are discussed.