Skip to main content
Log in

Topological transformation of grains in three-dimensional normal grain growth

  • Articles
  • Published:
Journal of Materials Research Aims and scope Submit manuscript

Abstract

The topological transformation of grains in three-dimensional normal grain growth was analyzed by Brakke’s Surface Evolver method that simulated the boundary motion by curvature. The statistics on elemental processes, which change the number of faces f of a grain, were determined from the simulation. The distribution function of the number of faces P( f ) in a steady structure could be predicted from the difference in the current of grains arriving at and leaving from state f. For the disappearance of one grain, face-creation switching occurred 3.7 times and face-elimination switching occurred 13.2 times on the average.

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. C.S. Smith, Metal Interfaces (ASM, Cleveland, OH, 1952), p. 65.

    Google Scholar 

  2. D. Weaire and N. Rivier, Contemp. Phys. 25, 59 (1984).

    Article  Google Scholar 

  3. H.V. Atkinson, Acta Metall. 36, 469 (1988).

    Article  CAS  Google Scholar 

  4. J.A. Glazier and D. Weaire, J. Phys.: Condens. Matter 4, 1867 (1992).

    Google Scholar 

  5. V.E. Fradkov and D. Udler, Adv. Phys. 43, 739 (1994).

    Article  CAS  Google Scholar 

  6. D. Weaire and S. McMurry, in Solid State Physics: Advances in Research and Applications, edited by H. Ehrenreich and F. Spaepen (Academic Press, San Diego, CA, 1997), Vol. 50, p. 1.

  7. P. Feltham, Acta Metall. 5, 97 (1957).

    Article  CAS  Google Scholar 

  8. M. Hillert, Acta Metall. 13, 227 (1965).

    Article  CAS  Google Scholar 

  9. N.P. Louat, Acta Metall. 22, 721 (1974).

    Article  CAS  Google Scholar 

  10. F.N. Rhines and K.R. Craig, Metall. Trans. 5, 413 (1974).

    Article  CAS  Google Scholar 

  11. S.K. Kurtz and F.M.A. Carpay, J. Appl. Phys. 51, 5725 (1980).

    Article  CAS  Google Scholar 

  12. M.F. Ashby and R.A. Verral, Acta Metall. 21, 149 (1973).

    Article  CAS  Google Scholar 

  13. J.E. Morral and M.F. Ashby, Acta Metall. 22, 567 (1974).

    Article  CAS  Google Scholar 

  14. E. Carnal and A. Mocellin, Acta Metall. 29, 135 (1981).

    Article  Google Scholar 

  15. M.A. Fortes and A.C. Ferro, Acta Metall. 33, 1697 (1985).

    Article  CAS  Google Scholar 

  16. H.J. Frost, C.V. Thomson, C.L. Howead, and J. Whang, Scr. Met. 22, 65 (1987).

    Article  Google Scholar 

  17. K. Kawasaki, T. Nagai, and K. Nakashima, Philos. Mag. B60, 399 (1989).

    Article  Google Scholar 

  18. M.P. Anderson, D.J. Srolovitz, G.S. Grest, and P.S. Sahni, Acta Metall. 32, 783 (1984).

    Article  CAS  Google Scholar 

  19. M.P. Anderson, G.S. Gust, and D.J. Srolovitz, Philos. Mag. B59, 293 (1989).

    Article  Google Scholar 

  20. K. Fuchizaki, T. Kusaba, and K. Kawasaki, Philos. Mag. B71, 333 (1995).

    Article  Google Scholar 

  21. D. Weygand, Y. Bréchet, J. Lépinoux, and W. Gust, Philos. Mag. B79, 703 (1999).

    Article  Google Scholar 

  22. K.A. Brakke, Exp. Math. 1, 141 (1992).

    Article  Google Scholar 

  23. F. Wakai, N. Enomoto, and H. Ogawa, Acta Mater. 48, 1297 (2000).

    Article  CAS  Google Scholar 

  24. F. Wakai, Y. Shinoda, S. Ishihara, and A. Domínguez-Rodríguez, Philos. Mag. 81, 517 (2001).

    Article  CAS  Google Scholar 

  25. J.E. Burke and D. Turnbull, Prog. Met. Phys. 3, 220 (1952).

    Article  CAS  Google Scholar 

  26. J. von Neumann, Metal Interfaces (ASM, Cleveland, OH, 1952), p. 108.

  27. W.W. Mullins, Acta Metall. 37, 2979 (1989).

    Article  Google Scholar 

  28. D. Weaire and J.A. Glazier, Philos. Mag. Lett. 68, 363 (1993).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to F. Wakai.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wakai, F., Shinoda, Y., Ishihara, S. et al. Topological transformation of grains in three-dimensional normal grain growth. Journal of Materials Research 16, 2136–2142 (2001). https://doi.org/10.1557/JMR.2001.0291

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1557/JMR.2001.0291

Navigation