Mathematical modeling of structure formation during heat treatment in the structural elements

The article presents a method for calculating the formation of different structures during heat treatment. The sources of the residual thermal stresses are strain associated with the unevenness of temperature field and the structural transformations. Residual stresses in the elements after their manufacture are formed in the final heat treatment. To determine these thermal stresses it is necessary to solve the associated problem of the thermoelastic viscoplasticity for a material with non-stationary structure. Structure instability is ex- plained by the fact that structural transformations occur during the heat treatment of steel. As a result, the latent heat of structural transitions is released and change of volume due to the formation of another crystal lattice takes peace. In addition, structural changes have a significant effect on the mechanical properties of the steel. Complex temperature regimes implemented during the heat treatment of rolls, have specific requirements for the calcula- tion of the structural state.