Residual stresses in hot-rolled sheets complicate the process of laser cutting. The present paper is devoted to predict these stresses occurring during laminar cooling after rolling. The proposed model accounts for the thermal and mechanical processes in the sheet during cooling: i) heat transfer to the environment, ii) heat of phase transformations, iii) thermal stresses, iv) stresses due to dilatometric effect during phase transformations, v) stress relaxation. Stresses due to dilatometric effect caused by phase transformations are investigated in the present paper. A model of phase transitions was developed on the basis of modification of JMAK (Johnson, Mehl, Avrami, Kolmogorov) equation. Coefficients in the model were identified by the inverse analysis of the dilatometric tests. The optimized model was implemented in the finite element model of heat transfer during laminar cooling and in the coil. The advantage of the developed model and computer program is its ability to perform quick calculations for industrial conditions, accounting for the dilatometric effect due to phase transformations. Numerical tests confirmed good predictive capabilities of the model.Keywords: laminar cooling, phase transformations, residual stresses
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