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Acta Metall Sin  2006, Vol. 42 Issue (10): 1019-1024     DOI:
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MATHEMATICAL MODEL OF U-CURVE OF STEELS
吉林大学材料学院
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. MATHEMATICAL MODEL OF U-CURVE OF STEELS. Acta Metall Sin, 2006, 42(10): 1019-1024 .

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Abstract  An analytical function for describing hardness distribution of round section in quenched steel, known as U-curve, has been established. The temperature field and cooling rate equation of Jominy at 700℃ were obtained by solving the heat conduction differential equation. The formula for expressing relations between sample radius, section position radius and section hardness was created by using the curve fitting according to the Jominy curves, cooling rate, measured section radius and cooling rate equivalent theory. This model includes hardenability coefficient, hardness maximum and hardness minimum that were obtained from Jominy test so that it displays advanced characteristic in theory and retains no correlation between hardenability and sample shape. The results show that the simulated curves are in good agreement with experimental values.
Key words:  quenched steel      U-curve      mathematical model      section hardness      Jominy curve      
Received:  13 February 2006     
ZTFLH:  TG115.6  
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