The Complex Computational System for Simulating the Carbonitride Precipitation Process and Precipitate Microstructure in Microalloyed Steels

Authors

DOI:

https://doi.org/10.24425/afe.2026.158029

Abstract

Microalloying elements such as Nb, V or Ti are added to steels to improve their mechanical properties through precipitation strengthening and grain refinement. Due to the strong chemical affinity of these elements for interstitial elements (C, N), nitrides, carbides or products of their mutual solubility, carbonitrides may form. The basic stereological parameters of precipitates, such as size, 𝑟𝑟, and volume fraction, 𝑉𝑉𝑣𝑣, play a key role in determining the strengthening effect and consequently influence the mechanical properties of steel. The complex computational system for simulating the carbonitride precipitation process was developed and implemented. One of the most important modules of the system enables simulation of the precipitate microstructure in microalloyed steels and calculation of the stereological parameters of precipitates. The obtained results provide quantitative information on the carbonitride precipitation process and the stereological parameters of precipitates, which may be used as input data for further mechanical property modelling. The developed computational system is described and validated through comparison with experimental observations.

References

[1] Goldschmidt, H.J. (1967). Interstitial Alloys. London: Butterworths.

[2] Adrian, H. (1992). Thermodynamic model for precipitation of carbonitrides in high strength low alloyed steels up to three microalloying elements with or without additions of aluminum. Materials Science and Technology. 8, 406-420. https://doi.org/10.1179/mst.1992.8.5.40.

[3] Liu, W. & Jonas, J.J. (1989). Calculation of the Ti(CyN1-y) - Ti4C2S2 - MnS austenite equilibrium in Ti-bearing steels. Metallurgical Transactions A. 20A, 1361-74. https://doi.org/10.1007/BF02665494.

[4] Roberts, W., Sandberg, A. (1980). The composition of V(C, N) as precipitated in HSLA steels microalloyed with vanadium, Report no. IM-1489, Swedish Institute for Metals Research.

[5] Speer, J.G., Michael, J.R. & Hansen, S.S. (1987). Carbonitride precipitation in niobium/vanadium microalloyed steels. Metallurgical Transactions A. 18A, 211-222. https://doi.org/10.1007/BF02825702.

[6] Adrian, H., Augustyn-Pieniążek, J., Marynowski, P. & Matusiewicz, P. (2014). The kinetic model of the carbonitrides precipitation process in microalloyed steels. Hutnik-Wiadomości Hutnicze. 81(4), 208-214. (in Polish).

[7] Marynowski, P., Adrian, H. & Głowacki, M. (2019). Modeling of the kinetics of carbonitride precipitation process in high-strength low-alloy steels using cellular automata method. Journal of Materials Engineering and Performance. 28(7), 4018-4025. https://doi.org/10.1007/s11665-019-04170-4.

[8] Wagner, R., Kampmann, R. (1991). Material science and technology: a comprehensive treatment. Jon Wille & Sons Inc.

[9] Marynowski, P. & Hojny M. (2026). The influence of the thermodynamic equilibrium model of the Fe-M-C-N system on the results of calculations of carbonitride precipitation kinetics. Archives of Foundry Engineering. 26(2), 191-198. https://doi.org/10.24425/afe.2026.158006 .

[10] Adrian, H. (2011). Numerical modelling of heat treatment processes. Kraków: Wydawnictwa AGH. (in Polish).

[11] Marynowski, P. (2021). Modelling of the kinetics of carbonitride precipitation process in high-strength low-alloy steels using cellular automata method. Doctoral dissertation. AGH Kraków. (in Polish).

[12] Marynowski, P., Hojny, M. & Dębiński, T. (2023). The effect of microalloying (Nb, V) and interstitial (C, N) elements on mechanical properties of microalloyed steels. Archives of Foundry Engineering. 23(4), 127-136. DOI: 10.24425/afe.2023.146687.

[13] Robson J.D. (2004). Modelling the overlap of nucleation, growth and coarsening during precipitation. Acta Materialia. 52, 4669-4676. DOI: 10.1016/j.actamat.2004.06.024.

[14] Hillert M., Staffansson L.I., (1970). The regular solution model for stoichiometric phases and ionic melts. Acta Chemica Scandinavica. 24, 3618-3626.

[15] Maugis, P., Goune, P., Barges, D., Dougnac, D., Ravaine, M., Lamberigts, T., Siwecki, T. & Bi, Y. (2003). A model for niobium carbonitride precipitation in ferrite. Materials Science Forum. 426-432, 1313-1318.

[16] Haynes WM (Eds.). (2017). CRC Handbook of Chemistry and Physics 97th Edition. Boca Raton USA.

[17] Goldschmidt, H.J. (1967). Interstitial Alloys. Butterworth.

[18] Maugis, P. & Goune, M. (2005). Kinetics of vanadium carbonitride precipitation in steel: A computer model. Acta Materialia. 53, 3359-3367. DOI: 10.1016/j.actamat.2005.03.036.

[19] Perez, M. (2008). Gibbs-Thomson effects in phase transformations. Scripta Materialia. 52, 2119-2131.

[20] Bołd, T., Kuziak, B., Tokarz, A. & Yi-Wen, Ch. (1993). Low-alloy steels containing titanium, vanadium and nitrogen for sections and forgings. Hutnik–Wiadomości Hutnicze. 4, 114-129. (in Polish).

[21] Głowacz, E. (2013). A kinetic model for the precipitation of nitrides in microalloyed steels with varying nitrogen content. Doctoral dissertation. AGH Kraków. (in Polish).

[22] Marynowski, P., Adrian, H. & Głowacki, M. (2018). Cellular Automata model of carbonitrides precipitation process in steels. Computer Methods in Materials Science. 18(4), 120-128. ISSN (1641-8581).

[23] Marynowski, P., Adrian, H. & Głowacki, M. (2013). Cellular automata model of precipitation in microalloyed niobium steels. Computer Methods in Materials Science. 13(4), 452-459.

Downloads

Published

2026-10-30

How to Cite

Marynowski, P., and M. Hojny. “The Complex Computational System for Simulating the Carbonitride Precipitation Process and Precipitate Microstructure in Microalloyed Steels”. Archives of Foundry Engineering, vol. 26, no. 3, Oct. 2026, pp. 144-52, doi:10.24425/afe.2026.158029.

Issue

Section

Articles

Similar Articles

1 2 3 4 > >> 

You may also start an advanced similarity search for this article.