The paper present the concept of a mathematical model for predicting changes in the austenite microstructure of high-carbon steel. Based of physical modeling changes of microstructure the mathematical model for predicting changes in the austenite microstructure was built. Model is based on the classic Sellars equations developed by taking into account the parameters of plastic forming processes and their impact on the processes occurring in the deformed steel. The coefficients of mathematical equations describing the evolution of deformed austenite microstructure were calculated based on the results of experimental studies carried out in the Institute of Plastic Working and Safety Engineering Czestochowa University of Technology. For the verification of the accuracy developed model laboratory studies were conducted using a metallurgical processes simulator Gleeble 3800. Comparison of the results obtained in the theoretical and experimental studies have confirmed good agreement developed model of the microstructure evolution for high-carbon steel.Keywords: Microstructure prediction, mathematical model of austenite evolution, hot rolling, high-carbon steel
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