Abstract: A generalized mathematical model is developed to predict the changes of temperature, rolling pressure, strain, strain rate, and austenite grain size for plate hot rolling and cooling processes. The model is established mainly by incorporating analytical and numerical method for differential equations under complicated boundary conditions. An industrial rolling and cooling process of plate is simulated by the model, in which the thickness of steel Q235B plate is rolled from initial 200 mm to final 12 mm by 13-passes in a two-high mill. The calculated results are in good agreement with measured data. Different from FEM simulation, the model takes very short time in calculation and makes the influence of rolling passes on precision to be very slight.

Key words: Hot rolling, Microstructure, Thermomechanical coupling, Simulation