Determination of Segregation Influence on the Motion of the Interphase Boundaries During Cellular Precipitation

Yu. O. Lyashenko$^{1}$, S. I. Derevyanko$^{1}$, O. A. Shmatko$^{2}$

$^{1}$Bohdan Khmelnytsky National University of Cherkasy, 81 Shevchenko Blvd., 18031 Cherkasy, Ukraine
$^{2}$G. V. Kurdyumov Institute for Metal Physics, NAS of Ukraine, 36 Academician Vernadsky Blvd., UA-03142 Kyiv, Ukraine

Received: 26.08.2015. Download: PDF

The Miedema’s method is used for the description of both the thermodynamic parameters of binary alloys and the segregation energy of components at the interphase boundaries. The thermodynamic approach developed in this paper is applied within the model, which describes the solute drag of the moving interphase boundary in the binary alloys with a polycrystalline structure. This kinetic model allows both the explanation of peculiarities of the interphase boundary motion at a cellular decomposition and the determination of the concentration profiles across the interphase boundaries, segregation coefficient, and energy dissipation rate in dependence on the interphase boundary velocity. The suggested model is applied for the Pb—Sn system.

Key words: diffusion, grain boundary migration, solute drag, cellular precipitation, energy dissipation.

URL: http://mfint.imp.kiev.ua/en/abstract/v37/i12/1619.html

DOI: https://doi.org/10.15407/mfint.37.12.1619

PACS: 61.72.Bb, 64.70.kd, 64.75.Jk, 64.75.Nx, 66.30.-h, 68.35.-p, 81.30.Mh

Citation: Yu. O. Lyashenko, S. I. Derevyanko, and O. A. Shmatko, Determination of Segregation Influence on the Motion of the Interphase Boundaries During Cellular Precipitation, Metallofiz. Noveishie Tekhnol., 37, No. 12: 1619—1632 (2015) (in Ukrainian)


REFERENCES
  1. J. W. Cahn, Acta Metall., 10, No. 9: 789 (1962). Crossref
  2. M. Hillert, Acta Metall., 47, No. 18: 4481 (1999).
  3. Yu. O. Lyashenko, L. I. Gladka, I. O. Shmatko, and O. A. Shmatko, Metallofiz. Noveishie Tekhnol., 34, No. 12: 1693 (2012) (in Ukrainian).
  4. I. Kaur and V. Gust, Diffuziya po Granitsam Zeren i Faz (Moscow: Mashinostroenie: 1991) (Russian translation).
  5. L. N. Larikov and O. A. Shmatko, Yacheistyy Raspad Peresyshchennykh Tverdykh Rastvorov (Kiev: Naukova Dumka: 1976) (in Russian).
  6. J. W. Cahn, Acta Metall., 7: 18 (1959). Crossref
  7. Yu. O. Lyashenko, A. M. Gusak, and O. A. Shmatko, Metallofiz. Noveishie Tekhnol., 27, No. 7: 873 (2005) (in Russian).
  8. Yu. A. Lyashenko, N. V. Zaitzeva, and O. A. Shmatko, Defect and Diffusion Forum, 261: 61 (2007).
  9. A. M. Gusak, T. V. Zaporozhets, Yu. O. Lyashenko, S. V. Kornienko, M. O. Pasichnyy, and A. S. Shirinyan, Diffusion-Controlled Solid State Reactions: in Alloys, Thin-Films and Nanosystems (Berlin: Wiley-VCH: 2010). Crossref
  10. H. Bakker, Enthalpies in Alloys Miedema's Semi-Empirical Model (Switzerland: Trans Tech Publications Ltd.: 1998).
  11. A. R. Miedema, Less Common Metals, 46: 67 (1976). Crossref
  12. J. W. Cahn and J. E. Hilliard, J. Chem. Phys., 28: 258 (1958). Crossref
  13. H. Wang, F. Liu, W. Yang, Z. Chen, G. Yang, and Y. Zhou, Acta Mater., 56: 746 (2008). Crossref
  14. Sh. Li, J. Zhang, and P. Wu, Scr. Mater., 62, No. 9: 716 (2010). Crossref
  15. S. G. Kim and Y. B. Park, Acta Mater., 56: 3739 (2008). Crossref
  16. H. Strandlund, J. Odqvist, and J. Agren, Comput. Mater. Sci., 44: 265 (2008). Crossref
  17. M. Hillert, Scr. Metallica, 17: 237 (1983). Crossref
  18. Y. J. M. Brechet and G. R. Purdy, Scr. Metall. Mater., 24: 1831 (1990). Crossref
  19. A. R. Denton and N. W. Ashcroft, Phys. Rev., 43: 3161 (1991). Crossref
  20. D. McLean, Grain Boundaries in Metals (London: Oxford University Press: 1957).
  21. A. Murdoch, Design of a Stable Nanocrystalline Alloy (Cambridge: Massachusetts Institute of Technology Press: 2013).
  22. V. T. Borisov, V. M. Golikov, and G. V. Scherbedinskiy, Fiz. Met. Metalloved., 17, No. 6: 881 (1964) (in Russian).
  23. D. Gupta, K. Vieregge, and W. Gust, Acta Mater., 47, No. 5: 5 (1999).
  24. Yu. M. Koval, A. M. Bezugliy, M. I. Didik, N. V. Zaytseva, O. A. Shmatko, Dopovidi N.A.N. Ukrayiny, 2: 102 (2004) (in Ukrainian).
  25. Yu. O. Bondarenko, N. F. Voronina, Yu. O. Lyashenko, and O. A. Shmatko, Naukovyy Visnyk Uzhgorodskogo Universitetu, 21: 17 (2007) (in Ukrainian).
  26. B. Shubin and K. Yu. Shunyaev, Proc. of Symp. 'Fifth International Conference on Mathematical Modelling and Computer Simulation of Material Technologies-2008' (Ariel, Israel: MMT: 2008), vol. 1, p. 1172.