Model for Predicting Microhardness Profiles of Steel after Nitriding


  • Vladimír Horák University of Defence



The plasma nitriding process produces a hard near-surface thin layer of the nitrided material. The thickness of the diffused layer, produced in the course of this process, is between 0.001 and 0.6 mm. The paper presents a study of influence of the nitriding temperature, pressure, and time on the steel microhardness profiles. The one-dimensional transient diffusion model is applied to a thin nitride layer. That allows one to predict the material hardness distribution within the near-surface layer as a function of time for a modified nitrogen diffusion coefficient. The temperature and pressure dependence of the diffusion coefficient is considered. Hence, the model involves the reaction rates of nitrides formation. The solution thus obtained is compared with experimental data for a decrease of hardness as a function of depth and time, until the core hardness is reached.

Author Biography

  • Vladimír Horák, University of Defence

    Department of Mechanical Engineering, professor


CRANK, J. The Mathematics of Diffusion. Oxford: Clarendon Press, 1975.

CARSLAW, H. S. and JAEGER, J. C. Conduction of Heat in Solids. Oxford: Clarendon Press, 1959.

ABRAMOWITZ, M. and STEGUN. I. A., Handbook of Mathematical Functions. Washington, D.C.: National Bureau of Standards, Applied Mathematics Series – 55, 1972, pp. 295-300.

HORÁK, V., KULISH, V., HRUBÝ, V. and MRÁZKOVÁ, T. Model of the Hardness Prediction for the Diffusion. In. 9th Int. Conference on Mathematical Problems in Engineering, Aerospace and Sciences “ICNPAA 2012”. New York: American Institute of Physics, Conf. Proc. 1493, 2012, pp. 486-491.

DIN 50190-4: 1999. Hardness depth of heat-treated parts - Part 4: Determination of the diffusion hardening depth and the diffusion depth.

MOORE, W. J. Physical Chemistry. New York: Longman Publishing, 1998.

CALLISTER, W. D. Fundamentals of Materials Science and Engineering: An Integrated Approach. John Wiley & Sons, Limited, 2007.

POKORNÝ, Z., KADLEC, J., HRUBÝ, V., JOSKA, Z., TRAN, D.Q. and BERAN, D. Plasma Nitriding of Bored Barrels. Advances in Military Technology, 2011, Vol. 6, No. 1, pp. 69-75.






Technical Information


How to Cite

Model for Predicting Microhardness Profiles of Steel after Nitriding. (2013). Advances in Military Technology, 8(2).

Most read articles by the same author(s)