Simulation of the Carbon Diffusion Saturation Gear from 15Cr2 Steel in the Cementation Process

Article Preview

Abstract:

The studies on cementation focus exclusively on the carbon’s movement. It is described by diffusion equations, often with constant coefficients and without regard to the liaising with temperature. It does not allow to have regard to the further carbon diffusion into the workpiece with the lower temperature range. The most accurate prediction of carbon concentration profiles depending on the parameters of the carburization regime and the chemical composition of steel is possible with the mathematical models using. However, most models show good results for Fe-C austenite without affecting the effect of alloying substitution elements. Taking into account the influence of alloying elements leads to complex empirical dependencies with difficult selected coefficients. It makes their use difficult. The study describes the simulation using the finite element method for the process of austenite’s diffusion saturation Fe-C-Cr system with carbon during cementation. Here is an example of a steel gear 15Cr2 with the temperature influence. The COMSOL Multiphysics program is used to solve the problem numerically. It is found that the model of carbon diffusion in unalloyed austenite for the single-stage cementation regime is in good contact with the experimental data for the Fe-C-Cr austenite of 15Cr2 steel. For a two-stage process, the calculation of the carbon concentration in the surface layer has a slightly greater deviation from the experimental data than it is at a greater depth.

You might also be interested in these eBooks

Info:

Periodical:

Solid State Phenomena (Volume 303)

Pages:

24-31

Citation:

Online since:

May 2020

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2020 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] T. Turpin, J. Dulcy, M. Gantois, Carbon diffusion and phase transformations during gas carburizing of high alloyed stainless steels: experimental study and theoretical modeling, Metallurgical and Materials Transactions A. 36 (2005) 2751-2759.

DOI: 10.1007/s11661-005-0271-4

Google Scholar

[2] E.L. Gilukyanov, V.V. Kislenkov, S.P. Provotorov, Calculations of carbon concentration profile at steel cementation in controlled atmosphere of natural gas, Metallurgical and Metal heat treating. 8 (1981) 9-11.

Google Scholar

[3] C.A. Stickels, Analytical models for the gas carburizing process, Metallurgical and Materials Transactions B. 20 (1989) 535-546.

DOI: 10.1007/bf02654603

Google Scholar

[4] A.A. Smirnov, Theory of alloys introduction, Science, Moscow, (1979).

Google Scholar

[5] A.A. Smirnov, Theory of diffusion in alloys introduction, Science Dumka, Kiev, (1982).

Google Scholar

[6] R. Trivedi, Effect of Concentration-dependent Diffusion Coefficient on the Migration of Interphase Boundaries, J. Appl. Phys. 38 (1967) 3569-3576.

DOI: 10.1063/1.1710174

Google Scholar

[7] P. Thibaux, Carbon Diffusion Measurement in Austenite in the Temperature Range 500 °C to 900 °C, Metal. Mater. Trans. A. 38 (2007) 1169-1176.

DOI: 10.1007/s11661-007-9150-5

Google Scholar

[8] S.-J. Lee, Carbon Diffusivity in Multi-component Austenite, Scr. Mater. 64 (2011) 805-808.

Google Scholar

[9] M.E. Blanter, Diffusion of carbon in austenite, MTF. 17 (1947) 1331-1339.

Google Scholar

[10] C. Wells, Diffusion Coefficient of Carbon in Austenite, Trans. Met. Soc. AIME. 188 (1950) 553-560.

Google Scholar

[11] R.P. Smith, The Diffusivity of Carbon in Iron by the Steady-state Method, Acta Metall. 1 (1953) 578-587.

Google Scholar

[12] P.L. Gruzin, Application of carbon isotope C14 for the study of carbon diffusion in steel, DAS USSR. 100 (1955) 1069-1072.

Google Scholar

[13] D.C. Parris, The Diffusivity of Carbon in Austenite, Acta Metall. 34 (1975) 523-528.

Google Scholar

[14] R.A. Collin, Mathematical Model for Predicting Carbon Concentration Profiles of Gas-carburized Steel, J. Iron and Steel Inst. 10 (1972) 785-789.

Google Scholar

[15] J.I. Goldstein, Diffusion Modeling of the Carburization, Metall. Trans. A. 9A (1978) 1515-1525.

Google Scholar

[16] G.G. Tibbetts, Diffusivity of Carbon in Iron and Steels at High Temperatures, J. Appl. Phys. 9 (1980) 4813-4816.

Google Scholar

[17] R.H. Siller, The Variation with Composition of the Diffusivity of Carbon in Austenite, Trans. Met. Soc. AIME. 245 (1969) 697-700.

Google Scholar

[18] R.H. Siller, The Application of the First Order Mixing Statistics to the Variation of the Diffusivity of Carbon in Austenite, Metall. Trans. 1 (1970) 985-988.

DOI: 10.1007/bf02811782

Google Scholar

[19] R.B. McLellan, The Diffusion of Carbon in Austenite, Acta metal. 3 (1988) 531-537.

Google Scholar

[20] H.K.D.H. Bhadeshia, Diffusion of Carbon in Austenite, J. Metal Sci. 15 (1981) 477-479.

Google Scholar

[21] J. Agren, Computer Simulation of the Austenite / Ferrite Diffusional Transformations in Low Alloyed Steels, Acta Metall. 30 (1982) 841-851.

DOI: 10.1016/0001-6160(82)90082-7

Google Scholar

[22] J.A. Agren, Revised Expression for the Diffusivity of Carbon in Binary Fe-C Austenite, Scr. Metall. 20 (1986) 1507-1510.

DOI: 10.1016/0036-9748(86)90384-4

Google Scholar

[23] Lucia Panizzi, On a mathematical model for case hardening of steel, Berlin, (2010).

Google Scholar

[24] A.N. Venediktov, V.E. Ovsyannikov, N.L. Venediktov, Determination of the effective diffusion coeffi cient of vacancies in ultradispersed electrolytic iron and its effect on heat treatment conditions, Metal Working and Material Science, 2019, vol. 21, no. 3, pp.106-114.

DOI: 10.17212/1994-6309-2019-21.3-106-114

Google Scholar