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Through the differentiating and integrating process, a mathematical model for tempering time effect on quenched steelwas derived based on the attribute of state function and the general equation of Hollomon parameter, which correlatesthe tempering hardness with the tempering time at different tempering temperature. Using the established model, thelinear relationship between the tempering hardness and the tempering time in logarithm was proved theoretically, andthe tempering hardness for various tempering time was reduced to the measurement and calculation of a hardnessexperiment tempered for 1 h at different tempering temperatures. Moreover, the hardness of steel 42CrMo andT8Mn tempered for various times at 200~600°C was calculated using this method. The predicted results are in goodagreement with those of the available experiments.
Through the differentiating and integrating process, a mathematical model for tempering time effect on quenched steel is derived based on the attribute of state function and the general equation of Hollomon parameter, which correlatesthe tempering hardness with the tempering time at different tempering temperature. Using the established model , the linear relationship between the tempering hardness and the tempering time in logarithm was proven theoretically, and the tempering hardness for various tempering time was reduced to the measurement and calculation of a hardnessexperiment tempered for 1 h at different tempering temperatures. Moreover, the hardness of steel 42CrMo andT8Mn tempered for various times at 200-600 ° C was calculated using this method. The predicted results are in good condition with those of the available experiments.