Induction heating is widely used in various industrial processes. In t
his paper, the Crank-Nicolson finite-difference approach is employed i
n the analysis of induction heating problems involving relatively long
rods that exhibit hysteresis. The analysis is, thus, reduced to solvi
ng a 2D space-time electromagnetic field problem and exact B-H charact
eristics of rods are taken into account by utilizing Preisach-type mod
els of hysteresis. A detailed numerical example is given in the paper
and some sample simulation results covering different excitation frequ
encies and amplitudes are reported. (C) 1996 American Institute of Phy
sics.