Stress state calculation in the roll under induction hardening

Approach to calculate temperature field of a roll under induction hardening, is proposed. The solution of non-linear non-stable problem of thermal conductivity is performed by means of the finite element method. The Crunk-Nickolson’s unconditionally stable finite difference circuit is counted for approximating a derivative with respect to time. Thermal and physical coefficients’ dependencies both on temperature and phase composition are specified. A comparison of calculated and available experiment al data is given.