Simulation of the Deformation of a Continuously Cast Ingot Depending on the Parameters of Mold Flux

We propose a mathematical model of the strained state of steel skin, which enables one to evaluate the initiation of transverse cracks in the ingots. The mathematical model is based on the equations of transient heat conduction, relations between the creep strains and stresses in the steel skin, and the integral balance equations. In our calculations, we use industrial data on the thermal work of the mold: the data of thermocouples mounted in the walls of the mold and the integral heat flux computed according to difference between the temperature of water at the inlet and outlet of the mold. The proposed mathematical model takes into account the thermal properties of mold fluxes, their influence on friction between the ingot and the mold, and the creep properties of cast steels as well as establishes the relationship between the parameters of the process of continuous casting and the appearance of transverse cracks in the steel skin. The results of numerical analysis of the limiting state of steel skin are in good agreement with the industrial data on the initiation of transverse cracks in the ingot.