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Interfacial Stress, Interfacial Energy, and Phase Equilibria in Binary Alloys

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Abstract

A simple model is presented in order to explore the influence of interfacial stress, interfacial energy, and surface stress on the characteristics of phase equilibria in stressed, two-phase binary alloys. Two different system geometries are employed: concentric spheres and thin plates. The conditions for thermodynamic equilibrium are solved and equations of state for each geometry are obtained in terms of the phase fraction, alloy composition, system dimension, and several dimensionless materials parameters. Elastic stress introduces new equilibrium states that are further modified by the interfacial quantities. Those conditions for which interfacial quantities can induce significant changes in the equilibrium phase fraction and phase compositions are identified.

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REFERENCES

  1. J. W. Cahn, Acta Metall. 10:907 (1962).

    Google Scholar 

  2. J. W. Cahn and F. C. Larché, Acta Metall. 32:1915 (1984).

    Google Scholar 

  3. R. O. Williams, Metall. Trans. 9A:1353 (1978).

    Google Scholar 

  4. J. W. Cahn, Acta Metall. 28:1333 (1980).

    Google Scholar 

  5. J. W. Cahn and F. C. Larché, Acta Metall. 30:51 (1982).

    Google Scholar 

  6. W. C. Johnson and P. W. Voorhees, Metall. Trans. 18A:1213 (1987).

    Google Scholar 

  7. W. C. Johnson, Metall. Trans. 18A:1093 (1987).

    Google Scholar 

  8. M. J. Pfeiffer and P.W. Voorhees, Acta Metall. Mater. 39:2001 (1991).

    Google Scholar 

  9. W. C. Johnson and W. H. Müller, Acta Metall. Mater. 39:89 (1991).

    Google Scholar 

  10. M. J. Pfeiffer and P. W. Voorhees, Metall. Trans. A 22:1921 (1991).

    Google Scholar 

  11. M. J. Pfeiffer and P. W. Voorhees, Scripta Metall. et Mater. 30:743 (1994).

    Google Scholar 

  12. D. K. Na, J. B. Cohen, and P. W. Voorhees, Scripta Metall. et Mater. 35:597 (1996).

    Google Scholar 

  13. J. Y. Huh and W. C. Johnson, Acta Metall. Mater. 43:1631 (1995).

    Google Scholar 

  14. P.-Y. F. Robin, in Proc. Int. Conf. Solid-solid Phase Transform. H. I. Aaronson, D. E. Laughlin, R. F. Sekerka, and M. Wayman, eds., TMS-AIME, 1011 (1982).

  15. Z. K. Liu and J. Ågren, Acta Metall. Mater. 38:561 (1990).

    Google Scholar 

  16. J. K. Lee and W. M. Tao, Acta Metall. Mater. 42:569 (1994).

    Google Scholar 

  17. A. L. Roytburd and J. Slutsker, J. Appl. Phys. 77:2745 (1995).

    Google Scholar 

  18. Z. K. Liu and J. Ågren, J. Phase Equil. 16:30 (1995).

    Google Scholar 

  19. A. J. Ardell and A. Maheshwari, Acta Metall. et Mater. 43:1825 (1995).

    Google Scholar 

  20. R. B. Schwarz and A. G. Khachaturyan, Phys. Rev. Lett. 74:2523 (1995).

    Google Scholar 

  21. P. W. Voorhees and W. C. Johnson, J. Chem. Phys. 84:5108 (1986).

    Google Scholar 

  22. W. A. Jesser, Mats. Sci. Engr. 4:279 (1969).

    Google Scholar 

  23. F. C. Larché and J. W. Cahn, Acta Metall. 21:1051 (1973).

    Google Scholar 

  24. F. C. Larché and J. W. Cahn, Acta Metall. 26:53 (1978).

    Google Scholar 

  25. P. H. Leo and R. F. Sekerka, Acta Metall. 37 (1989).

  26. L. E. Malvern, Introduction to the Mechanics of a Continuous Medium (Prentice-Hall, New Jersey, 1969).

    Google Scholar 

  27. R. A. Johnson, Surf. Sci. 335:241 (1996).

    Google Scholar 

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Johnson, W.C., Voorhees, P.W. Interfacial Stress, Interfacial Energy, and Phase Equilibria in Binary Alloys. Journal of Statistical Physics 95, 1281–1309 (1999). https://doi.org/10.1023/A:1004527106351

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  • DOI: https://doi.org/10.1023/A:1004527106351

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