Thermal Activated Elements Redistribution between Two-Component Coating and Substrate

Abstract:

The results of analytical and numerical solutions of the problem of the redistribution of elements between the coating and the substrate under heat treatment are presented here. It is assumed that the coating consists of two elements - chromium and nitrogen, and the substrate is silicon. The model takes into account the Soret effect. The Soret’s coefficients (or the corresponding coefficients of thermal diffusion) are different for the elements. The analytical solution of the linearized coupled problem is obtained by the operational method. Numerical solution was implemented by implicit difference scheme. In the linear approximation, the results of numerical solutions are close enough to analytical ones. The effect of diffusion coefficients and thermal diffusion on the redistribution of elements in the diffusion zone has been studied.

• Periodical: Key Engineering Materials (Volume 685)
• Pages: 200-205
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.685.200
• Online since: February 2016
• Authors: Olga N. Kryukova, Maria Chepak-Gizbrekht*
• Keywords: Analytical Solution, Coating, Diffusion, Numerical Realization, Soret Effect, Thermal Treatment

References

[1] Z. S. Olesiak, Problems of thermodiffusion of deformable solids, Materials Science, 34 (3) (1998) 297–303.

DOI: 10.1007/bf02355619

[2] Qi Min Wang, Kwang Ho Kim, Microstructural control of Cr–Si–N films by a hybrid arc ion plating and magnetron sputtering process, Acta Materialia, 57 (2009) 4974–4987.

DOI: 10.1016/j.actamat.2009.07.001

[3] W. Ernst et al. Thermal decomposition routes of CrN hard coatings synthesized by reactive arc evaporation and magnetron sputtering, Thin Solid Films, 517 (2008) 568–574.

DOI: 10.1016/j.tsf.2008.06.086

[4] Asaro R. J., Farkas D., and Kulkarni Y. The Soret effect in diffusion in crystals, Acta Materialia, 56 (2008) 1243–1256.

DOI: 10.1016/j.actamat.2007.11.019

[5] K. I. Morozov, Soret effect in molecular mixtures, Physics Review E, 79 (2009) 031204.

[6] M. A. Rahman & M. Z. Saghir, Thermodiffusion or Soret effect: Historical review, International Journal of Heat Mass and Transfer, 73 (2014) 693–705.

DOI: 10.1016/j.ijheatmasstransfer.2014.02.057

[7] N. Herbots et al., Atomic collisions, elastic recombination, and thermal diffusion during thin-film growth from low-energy ion beam, Nuclear Instruments and Methods in Physics Research, B59/60 (1991) 326–331.

DOI: 10.1016/0168-583x(91)95233-4

[8] N.N. Rykalin, A.A. Uglov, Laser and electron beam treatment of materials. Directory, (1985).

[9] V.I. Rudakov, V.V. Ovcharov, Mathematical description of the diffusion in a temperature field and measuring the heat of transport, Intrenational Journal of Heat and Mass Transfer 45 (2002) 743–753.

DOI: 10.1016/s0017-9310(01)00204-6

[10] C. Korte, J. Janek, H. Timm, Transport processes in temperature gradients Thermal diffusion and Soret effect in crystalline solids, Solid State Ionics 101-103 (1997) 465-470.

DOI: 10.1016/s0167-2738(97)84069-6

[11] D. V. Alexandrov and D. A. Pinigin, On the Theory of Dendritic Growth: Soret and Temperature-Dependent Diffusion Effects, Russian Metallurgy (Metally), 2013 (2) (2013) 123–129.

DOI: 10.1134/s0036029513020031

[12] N. S. Kostyukov, Relationship between thermal diffusion and conductivity for two-component crystalline structures, Journal of engineering physics, 10 (2) (1966) 101-102.

DOI: 10.1007/bf00834545

[13] H.S. Carslaw and J.C. Jaeger, Conduction of heat in solids: (2nd Edition), Clarendon Press, Oxford, (1959).

[14] A.G. Knyazeva, M.V. Chepak-Gizbrekht, The influence of thermodiffusion on the alloying element distribution between coating and base surface treatment conditions, Russian Physics Journal, 56 (12/2) (2013) 46-52.

[15] O. N. Kryukova, M. V. Chepak-Gizbrekht, The Influence of Thermal Diffusion on the Redistribution of Alloying Element between the Coating and Base under Surface Heating, Advanced Materials Research, 1040 (2014) 602–607.

DOI: 10.4028/www.scientific.net/amr.1040.602

[16] A. G. Knyazeva, A. P. Savitskii Estimating volume changes in the diffusion zone. 2. Interaction of two finite media, Russian Physics Journal, 40 (6) (1997) 546-553.

DOI: 10.1007/bf02766386

[17] A. G. Knyazeva, A. P. Savitskii Estimate of volume changes in the diffusion zone, Russian Physics Journal, 40 (5) (1997) 420-427.

DOI: 10.1007/bf02508770

[18] A. G. Knyazeva, I.G. Dik, Ignition of a hot sheet of condensed material through an inert shield, Combustion explosion and shock waves, 26 (2) (1990) 133-142.

DOI: 10.1007/bf00742397

[19] A. G. Knyazeva Approximate estimates of the characteristics of propellant ignition using radiant flux through shields with various properties, Combustion explosion and shock waves, 32 (1) (1996) 22-35.

DOI: 10.1007/bf01992187

[20] Physical values. Handbook. Edited by I.S. Grigor'ev, E.Z. Meilihov, Moscow: Energoatomizdat, (1991).