ISIJ International, Vol. 47 (2007), No. 5, pp. 769–771

نویسندگان

  • Seok-Jae LEE
  • Young-Kook LEE
چکیده

The decomposition of austenite to ferrite or cementite begins at the equilibrium phase boundary of austenite/ (ferrite austenite) or austenite/(cementite austenite) in binary Fe–C phase diagram. The temperature values on the phase boundaries of austenite/(ferrite austenite) and austenite/(cementite austenite) at a certain carbon content are called Ae3 and Acm temperatures of the steel, respectively. The Ae1 temperature is defined as the eutectoid temperature corresponding to the intersection point of two phase boundaries: austenite/(ferrite austenite) and austenite/(cementite austenite). Many thermodynamic studies have been performed to calculate the phase diagrams, which provide us with various basic information for predicting the quantitative kinetics of phase transformations in low alloy steels. The partitioning effects of alloying elements such as Ni, Cr, and Mo occurring during the austenite decomposition on the phase diagrams of the steels have been investigated with ortho-equilibrium (OE) and paraequilibrium (PE) models in low alloy steels. The schematic drawing of the Fe–Fe3C phase diagram calculated by using the OE and PE models is illustrated in Fig. 1. The phase boundaries calculated with OE model are generally shown at the higher temperatures than those by PE model. Recently, Lee and Lusk have analyzed the experimental Ae1 temperatures of 85 low alloy steels, obtained from the US Steels Atlas of I-T diagrams, using thermodynamic models. They have realized that the measured Ae1 temperatures are located between two theoretical Ae1 temperatures predicted using OE and PE models and suggested a new thermodynamic model for better prediction of the measured Ae1 temperatures. This fact means that two phase boundaries of austenite/(ferrite austenite) and austenite/(cementite austenite) are also located between the calculated phase boundaries by OE and PE models. However, the austenite/(ferrite austenite) boundary calculated by OE model shows a good match as compared with the experimental Ae3 data. 2) This seems reasonable since the ferrite transformation usually occurs at relatively high temperatures at which substitutional and interstitial atoms can quickly diffuse and thus become partitioned. Therefore, the actual phase boundary of austenite/(cementite austenite) should be located between the theoretical phase boundaries around the Ae1 temperature, leading to the actual Ae1 temperatures between two equilibrium phase boundaries. Nevertheless, up to now, the thermodynamic formula for predicting the actual Acm boundaries in low alloy steels has not been proposed yet. We have, therefore, derived a new formula to predict the accurate Acm temperature of the low alloy steels, assuming that the partitioning effect of substitutional elements linearly reduces below Ae1 temperature, resulting in no partitioning of alloy elements at room temperature (T0). 9) The thermodynamic formula for predicting the accurate Acm temperatures of low alloy steels has been newly suggested as follows:

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Fiftieth Annual List of Papers

Agnew, R. P. Some remarks on a paper entitled General Tauberian theorems." Read April 27, 1940. Journal of the London Mathematical Society, vol. 15, no. 4 (Oct., 1940), pp. 242-246. Tauberian conditions. Read Feb. 24, 1940. Annals of Mathematics, (2), vol. 42, no. 1 (Jan., 1941), pp. 293-308. On methods of summability and mass f unctions determined by hyper geometric coefficients. Read Jan. 1, ...

متن کامل

Nonic spline solutions of eighth order boundary value problems

Published 1. End Conditions for Interpolatory Septic Spline Ghazala Akram and Shahid S. Siddiqi, International Journal of Computer Mathematics, Vol. 82, No. 12, 2005 pp15251540. 2. Solutions of Fifth Order Boundary-Value Problems Using NonPolynomial Spline Technique Shahid S. Siddiqi and Ghazala Akram, Applied Mathematics and Computation Vol. 175, No. 2, 2006 pp. 1574-1581. 3. Solutions of Sixt...

متن کامل

Assessing the Adaptability of Large Software Systems

44-49. 3. David Lanning and Taghi Khoshgoftaar, “Modeling the Relationship Between Source Code Complexity and Maintenance Difficulty,” IEEE Computer, Vol. 27, No. 9, September 1994, pp. 35-41. 4. S. Wake and S. Henry, “A Model Based on Software Quality Factors Which Predicts Maintainability,” Proceedings of the Conference on Software Maintenance, Scottsdale, AZ, 1988, pp. 382-387. 5. David Weis...

متن کامل

Techniques Employed in the Physicochemical Characterization of Activated Carbons

carbon from waste biomass. Journal of Hazardous Materials, Vol. 165, No. 1-3, (June 2009), pp. (481–485), ISSN 0304-3894. [39] Tongpoothorn, W., Sriuttha, M., Homchan, P., Chanthai, S. & Ruangviriyachai, C. (2011). Preparation of activated carbon derived from Jatropha curcas fruit shell by simple thermo-chemical activation and characterization of their physico-chemical properties Chemical Engin...

متن کامل

Linear Topological Division Algebras

1. R. F. Arens, A topology for spaces of transformations, Ann. of Math. vol. 47 (1946) pp. 480-495. 2. R. F. Arens ond J. L. Kelley, Characterizations of the space of continuous functions over a compact Hausdorff space, To be published in Trans. Amer. Math. Soc. 3. S. Banach, Théorie des opérations linéaires, Warsaw, 1932. 4. G. Birkhoff, Lattice theory, Amer. Math. Soc. Colloquium Publications...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007