The thermoelasticity of ferromagnetic solids by deep induction heating

Proposes a method of calculation for electromagnetic and temperature fields as well as mechanical stresses in ferromagnetic solids subjected to an harmonic electromagnetic field of industrial frequency. The nonlinearity of magnetic induction dependence upon magnetic-field strength is considered. The developed model is the generalization of well-known ones for nonferromagnetic solids. Interconnection of electromagnetic, temperature and mechanical fields is taken into account by Joule's and hysteresis heat and ponderomotive forces averaged on the period of an electromagnetic wave. In such an approach, the calculation procedure reduces to consecutive resolving of electrodynamics equations for ferromagnetic media (first stage) and uncoupled quasistatic thermoelasticity problems at given boundary and initial conditions (second stage).