Formulas for the Calculation of Temperatures and Concentrations of Carbon Responsible to the Parar Equilibrium of the Main Phases in Medium Sheet Steels

Abstract:

With the help of the Thermo-Calc software package, arrays of calculated data were created for carbon concentrations in ferrite and austenite, corresponding to the para-equilibrium of these phases and their para-equilibrium with cementite, as well as for the corresponding temperatures A₁ and A₃. Marked arrays were obtained in wide temperature ranges for ranges of carbon concentrations and the most important substitution alloying elements (Mn; Si; Cr; Ni; Mo), covering the respective ranges for medium carbon and moderately alloyed steels. Analytical formulas were developed on the basis of the reference data arrays for calculating para-equilibrium concentrations of carbon in ferrite and austenite (depending on temperature and chemical composition), as well as temperatures A₁ and A₃ (depending on chemical composition), which allow to reproduce with high accuracy the results obtained using Thermo-Calc.

• Periodical: Key Engineering Materials (Volume 822)
• Pages: 44-52
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.822.44
• Online since: September 2019
• Authors: Pavel Zhitelev*, Darya Serzhenko
• Keywords: Austenite, Carbon Concentration, Cementite, Ferrite, Phase Para-Equilibrium, Steel

References

[1] Andorfer J, Auzinger D, Hirsch M, Hubmer G, Pichler R (1997) Controlling the Mechanical Properties of Hot Rolled Strip. Metall. Plant and Technol. Int.: 1-6.

DOI: 10.1016/s1474-6670(17)35897-4

[2] Shulkosky RA, Rosburg DL, Chapman JD, Barnes KR (2003) A Microstructural Evolution Model Used for Hot Strip Rolling. Mater. Sci. Technol. Conf.: 1-17.

[3] A. Ogoltcov, D. Sokolov, S. Sokolov, A. Vasilyev Stan 2000: Computer Model for Simulation of Steels Hot Rolling on Mill 2000 of Severstal // N. METAL 2015 - 24rd International Conference on Metallurgy and Materials. –2015. –P.183-189.

DOI: 10.4028/www.scientific.net/msf.854.183

[4] A. Ogoltcov, D. Sokolov, S. Sokolov, A. Vasilyev Computer Model STAN 2000 and its Use in Practice of Steels Hot Rolling on Mill 2000 of Severstal // Material Science Forum. – 2016. – V. 854. – P. 183−189.

DOI: 10.4028/www.scientific.net/msf.854.183

[5] Vasilyev, A.A., Sokolov, S.F., Kolbasnikov, N.G., Sokolov, D.F. Effect of alloying on the self-diffusion activation energy in γ-iron // Physics of the Solid State. – 2011. – V.53. – №11. – P. 2194-2200.

DOI: 10.1134/s1063783411110308

[6] A. Ogoltcov, D. Sokolov, S. Sokolov, A. Vasilyev Practical Use of Computer Model STAN 2000 for Improvement and Creation of Regimes for Hot Rolling of Steels on Severstal Mill 2000 // Material Science Forum. – 2017. – V. 879. – P. 2543−2548.

DOI: 10.4028/www.scientific.net/msf.879.2543

[7] Militzer M, Hawbolt EB, Meadowcroft TR (2000) Microstructural Model for Hot Strip Rolling of High-strength Low-alloy Steels. Metall. Mater. Trans. A 31:1247-1259.

DOI: 10.1007/s11661-000-0120-4

[8] Militzer M (2007) Computer Simulation of Microstructure Evolution in Low Carbon Sheet Steels. ISIJ Int. 47(1):1-15.

DOI: 10.2355/isijinternational.47.1

[9] Bezobrazov, Y.A., Kolbasnikov, N.G., Naumov, A.A. High-strength dual-phase steel structure evolution during hot rolling (2012) AIST Steel Properties and Applications Conference Proceedings - Combined with MS and T'12, Materials Science and Technology 2012, pp.257-265.

DOI: 10.3103/s0967091213070085

[10] Bezobrazov, Y.A., Kolbasnikov, N.G., Naumov, A.A. Tension-compression method in the simulation of multistage plastic deformation (2014) Steel in Translation, 44 (1), pp.71-79.

DOI: 10.3103/s0967091214010057

[11] Kolbasnikov, N.G., Mishin, V.V., Naumov, A.A., Zabrodin, A.V. Research into structure and rheological and relaxation properties of nanocrystalline beryllium at temperatures of hot rolling and research into stress relaxation kinetics in different sorts of beryllium(2014) Nanotechnologies in Russia, 9 (7-8), pp.430-440.

DOI: 10.1134/s1995078014040090

[12] Vasilyev A, Rudskoy A, Kolbasnikov N, Sokolov S, Sokolov D (2012) Physical and Mathematical Modeling of Austenite Microstructure Evolution Processes Developing in Line-pipe Steels under Hot Rolling. Mater. Sci. Forum 706-709: 2836-2841.

DOI: 10.4028/www.scientific.net/msf.706-709.2836

[13] Sokolov D, Ogoltcov A, Vasilyev A, Sokolov S, Kolbasnikov N (2013) Modeling of Microstructure and Mechanical Properties of Hot Rolled Steels. Mater. Sci. Forum 762:116-121.

DOI: 10.4028/www.scientific.net/msf.762.116

[14] D.F. Sokolov, A.A. Ogoltcov, A.A. Vasilyev, N.G. Kolbasnikov and S.F. Sokolov Modeling of Microstructure and Mechanical Properties of Hot Rolled Steels // Material Science Forum. – 2013. – V. 762. – P. 116−121.

DOI: 10.4028/www.scientific.net/msf.762.116

[15] Bradley JR, Aaronson HI (1981) Growth Kinetics of Grain Boundary Ferrite Allotriomorphs in Fe-C-X Alloys. Metall. Mater. Trans. A. 12:1729-1741.

DOI: 10.1007/bf02643755

[16] Samoilov A, Titovets YuF, Zolotorevsky NYu, Hribernig G (2003) CATRAN – A Multi-task Physical Model and Computer Program for the Prediction of the Microstructure of Steels According to an Arbitrary Cooling Schedule. Mater. Sci. Forum 426−432:1189-1194.

DOI: 10.4028/www.scientific.net/msf.426-432.1189

[17] Vasilyev, A.A., Sokolov, D.F., Kolbasnikov, N.G., Sokolov, S.F. Modeling of the γ → α transformation in steels // Physics of the Solid State. – 2012. – V.54. – №8. – P. 1669-1680.

DOI: 10.1134/s1063783412080318

[18] Information on http://www.thermocalc.com.

[19] Kirkaldy JS, Baganis EA (1978) Prediction of Multicomponent Equilibrium and Transformation Diagrams for Low Alloy Steels. Metall. Mater. Trans. A. 9:495-501.