Monolithic model of continuous induction hardening of a steel mandrel

Continuous induction hardening of axi-symmetric steel bodies is analysed. The mathematical model of the process (consisting of two coupled partial differential equations describing the distributions of magnetic and temperature fields) is solved numerically by a fully adaptive higher-order finite element method in the monolithic formulation. All important nonlinearities of the system (magnetic permeability and other material parameters) are respected. The methodology is illustrated by a typical example whose results are discussed.