Skip to main content
Log in

Diffusional boundary conditions during coarsening of elastically interacting precipitates

  • Published:
Metallurgical and Materials Transactions A Aims and scope Submit manuscript

Abstract

The elastic fields associated with a dispersion of spherical particles in an isotropic matrix are determined using the equivalent inclusion approach of Moschovidis and Mura. The coherent particles possess a misfit strain and have elastic constants different from those of the matrix phase. A spatially nonuniform stress field can be applied to the system. The stress fields are used to calculate the equilibrium compositions at the precipitate-matrix interface for use as diffusional boundary conditions in computer simulations of multiparticle coarsening in elastically stressed systems.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A.J. Ardell, R.B. Nicholson, and J.D. Eshelby:Acta Metall., 1966, vol. 14, pp. 1295–1309.

    Article  CAS  Google Scholar 

  2. D.M. Barnett, J.K. Lee, H.I. Aaronson, and K.C. Russell:Scripta Metall., 1974, vol. 8, pp. 1447–50.

    Article  Google Scholar 

  3. A.G. Khachaturyan and V.M. Airapctyan:Phys. Status Solidi A, 1974, vol. 26, pp. 61–70.

    Article  CAS  Google Scholar 

  4. W.C. Johnson and J.W. Cahn:Acta Metall., 1984, vol. 32, pp. 1925–33.

    Article  CAS  Google Scholar 

  5. H. Nishimori and A. Onuki:Phys. Rev. B, 1990, vol. 42, pp. 980–83.

    Article  Google Scholar 

  6. W.C. Johnson:Acta Metall., 1984, vol. 32, pp. 465–75.

    Article  CAS  Google Scholar 

  7. K. Kawasaki and Y. Enomoto:Physica A, 1988, vol. 150, pp. 463–98.

    Article  CAS  Google Scholar 

  8. Y. Enomoto and K. Kawasaki:Acta Metall., 1989, vol. 37, pp. 1399–1406.

    Article  CAS  Google Scholar 

  9. W.C. Johnson, T.A. Abinandanan, and P.W. Voorhees:Acta Metall., 1990, vol. 38, pp. 1349–67.

    Article  Google Scholar 

  10. P. Leo, W.W. Mullins, R.F. Sekerka, and J. Vinals:Acta Metall. Mater., 1990, vol. 38, pp. 1573–80.

    Article  CAS  Google Scholar 

  11. A. Onuki and H. Nishimori:Phys. Rev. B, 1991, vol. 43, pp. 13649–652.

    Article  Google Scholar 

  12. Y. Wang, L.-Q. Chen, and A.G. Khachaturyan:Phys. Rev. B, 1992, vol. 46, pp. 11194–97.

    Article  Google Scholar 

  13. T.A. Abinandanan and W.C. Johnson:Acta Metall. Mater., 1993, vol. 41, pp. 17–25.

    Article  Google Scholar 

  14. T.A. Abinandanan and W.C. Johnson:Acta Metall. Mater., 1993, vol. 41, pp. 27–39.

    Article  Google Scholar 

  15. J.D. Eshelby:Proc. R. Soc. London A, 1957, vol. 241, pp. 376–96.

    Article  Google Scholar 

  16. Z.A. Moschovidis and T.A. Mura:J. Appl. Mech., 1975, vol. 42, pp. 847–52.

    Google Scholar 

  17. T. Mura:Micromechanics of Defects in Solids, 2nd ed., Martinus Nijhoff Publishers, Dordrecht, The Netherlands, 1987.

    Google Scholar 

  18. F.C. Chen and K. Young:J. Math. Phys., 1977, vol. 18, pp. 1412–16.

    Article  Google Scholar 

  19. W.C. Johnson, Y.Y. Earmme, and J.K. Lee:J. Appl. Mech., 1980, vol. 47, pp. 775–80.

    CAS  Google Scholar 

  20. P.W. Voorhees and W.C. Johnson:J. Chem. Phys., 1986, vol. 84, pp. 5108–21.

    Article  CAS  Google Scholar 

  21. E. Sternberg and M.A. Sadowsky:J. Appl. Mech., 1952, vol. 19, pp. 19–27.

    Google Scholar 

  22. W.C. Johnson, P.W. Voorhees, and D. Zupon:Metall. Trans. A, 1989, vol. 20A, pp. 1175–89.

    CAS  Google Scholar 

  23. W.C. Johnson, Y.Y. Earmme, and J.K. Lee:J. Appl. Mech., 1980, vol. 47, pp. 781–88.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hort, W., Johnson, W.C. Diffusional boundary conditions during coarsening of elastically interacting precipitates. Metall Mater Trans A 25, 2695–2703 (1994). https://doi.org/10.1007/BF02649222

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02649222

Keywords

Navigation