A model of prediction of flow stress during hot rolling plates and wide strips of carbon, low alloy and micro-alloyed steels, especially deformation resistance which are not yet known, was developed. Method of L. V. Andreyuk was adopted for a basis of model, wherein each of thermomechanical factors represented as equations for the 13 chemical elements. The main limitations of the method (rolling temperature not less 800 °C, strain 0.05-0.3) are overcome by supplementing the known dependence factor, which takes into account the phase transformation, as well as a factor that compensates for the degree of error in the calculation and strain rate. These factors have reduced the lower limit of the confidence interval for the temperature to 700 °C and raise the upper limit of the confidence interval for the degree of deformation up to 0.5. The degree of conformity predicted and observed values of the flow stress is 82.6 – 94.7%.Keywords: Steel with an arbitrary chemical composition, hot rolling sheet, flow stress, thermomechanical factors, factor of influence the phase transformations, correction factor by the strain and strain rate
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