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| A NEW MATHEMATICAL MODEL FOR HARDENABILITY OF STEELS |
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Cite this article:
. A NEW MATHEMATICAL MODEL FOR HARDENABILITY OF STEELS. Acta Metall Sin, 2006, 42(3): 265-272 .
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Abstract A new mathematical model and a parameter for the hardenability of steels is presented in this paper. A differential equation of the Jominy curves has been constructed according to the Jominy experimental data and change of derivative of the Jominy curve. The linear trial method was used to choose optimal type of function. The model for calculating the hardness distributions has been described as the subsection functions consisting of both straight line and curve. The straight depicts the hardness of the martensite region where the martensite is entirely obtained and the hardness remains a constant maximum value. In addition, the hardness is continuously reduced in the region of the curve until the hardness approaches a minimum value. The hardenability of steels has been expressed as a coefficient that is equal to the whole distance of inflexion of Jominy curve in numerical value. The distance includes length of straight line in which martensite is entirely obtained, while it is not related to the Jominy distance. The value of the hardenability has been obtained by a method of the non-linear curve fitting to the Jominy test data. Very good agreements have been obtained between the simulated curves and the experimental measurements.
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Received: 10 November 2005
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