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Grain boundary interdiffusion in the case of concentration-dependent grain boundary diffusion coefficient

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Interface Science

Abstract

The grain boundary diffusion in a binary system which exhibits a grain boundary phase transition is considered in the framework of Fisher's model. The kinetic law of the growth of the grain boundary phase and the distribution of the diffusant near the grain boundary are calculated. The method of determining of the concentration dependence of the grain boundary diffusion coefficient from the experimentally measured penetration profiles of the diffusant along the grain boundaries is suggested. The experimental results on Zn diffusion in Fe(Si) bicrystals, Ni diffusion in Cu bicrystals and grain boundary grooving in Al in the presence of liquid In are discussed in light of the suggested model.

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References

  1. E.I. Rabkin, V.N. Semenov, L.S. Shvindlerman, and B.B. Straumal, Acta Metall. Mater. 39, 627 (1991).

    Google Scholar 

  2. K.E. Sickafus and S.L. Sass, Acta Metall. 35, 69 (1987).

    Google Scholar 

  3. E.L. Maximova, E.I. Rabkin, L.S. Shvindlerman, and B.B. Straumal, Acta Metall. 37, 1995 (1989).

    Google Scholar 

  4. I. Kaur, Y. Mishin, and W. Gust, Fundamentals of Grain and Interphase Boundary Diffusion (Wiley and Sons, Chichester, 1995), pp. 63, 108.

    Google Scholar 

  5. J. Philibert, Atom Movements, Diffusion and Mass Transport in Solids (Les éditions de physique, Les Ulis, 1991), pp. 426, 12, 536.

    Google Scholar 

  6. I. Kaur, W. Gust, and L. Kozma, Handbook of Grain and Interphase Boundary Diffusion (Ziegler Press, Stuttgart, 1989), pp. 130, 263, 303, 575.

    Google Scholar 

  7. A.E. Austin and N.A. Richard, J. Appl. Phys. 32, 1462 (1961).

    Google Scholar 

  8. B.S. Bokstein, V.E. Fradkov, and D.L. Beke, Phil. Mag. A 65, 277 (1992).

    Google Scholar 

  9. Yu.M. Mishin and Chr. Herzig, J. Appl. Phys. 73, 8206 (1993).

    Google Scholar 

  10. O.I. Noskovich, E.I. Rabkin, V.N. Semenov, B.B. Straumal, and L.S. Shvindlerman, Acta Metall. Mater. 39, 3091 (1991).

    Google Scholar 

  11. B.B. Straumal, O.I. Noskovich, V.N. Semenov, L.S. Shvindlerman, W. Gust, and B. Predel, Acta Metall. Mater. 40, 795 (1992).

    Google Scholar 

  12. T.H. Chuang, R.A. Fournelle, W. Gust, and B. Predel, Z. Metallk. 80, 318 (1989).

    Google Scholar 

  13. H. Mehrer (Ed.), Diffusion in Solid Metals and Alloys (Landolt-Börnstein New Series Vol. III/26, Springer, Berlin, 1992), pp. 350, 154.

    Google Scholar 

  14. S.M. Foiles, Phys. Rev. B 40, 11502 (1989).

    Google Scholar 

  15. A.N. Aleshin and S.I. Prokofjev, Poverkhnost, Fizika, Khimiya, Mechanika 9, 131 (1986).

    Google Scholar 

  16. H.J. Vogel and L. Ratke, Acta Metall. Mater. 39, 641 (1991).

    Google Scholar 

  17. T.B. Massalski et al. (Ed.), Binary Alloy Phase Diagrams (ASM International, Materials Park, OH, 1990), p. 162.

    Google Scholar 

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Rabkin, E. Grain boundary interdiffusion in the case of concentration-dependent grain boundary diffusion coefficient. Interface Sci 3, 219–226 (1996). https://doi.org/10.1007/BF00191049

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  • DOI: https://doi.org/10.1007/BF00191049

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