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Asymptotic Behavior in Grain Growth

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Abstract

Hillert’s model of grain growth consists of a drift term in size space that leads asymptotically to a distribution function and a growth exponent not often observed. Later theories introduce a diffusion term that is either assumed to dominate the drift term or a correction to it. This paper shows that the lower order drift term alone determines asymptotic grain growth behavior. A possible conclusion is that experimental results may need to be reinterpreted.

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References

  1. M. Hillert, Acta metall. 13, 227 (1965).

    Article  CAS  Google Scholar 

  2. H. V. Atkinson, Acta metall. 36, 469 (1988).

    Article  CAS  Google Scholar 

  3. N. P. Louat, Acta metall. 22, 721 (1974).

    Article  CAS  Google Scholar 

  4. A. Thorvaldsen, Acta metall. mater. 41, 1347 (1993).

    Article  CAS  Google Scholar 

  5. O. Hunderi and N. Ryum, J. Mater. Sci. 15, 1104 (1980).

    Article  Google Scholar 

  6. C. W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry, and the Natural Sciences. (Springer-Verlag, Berlin, 1985).

    Book  Google Scholar 

  7. D. T. Wu (in preparation).

  8. P. A. Mulheran and J. H. Harding, Mater. Sci. Forum 94–96, 367 (1992).

    Article  Google Scholar 

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Wu, D.T. Asymptotic Behavior in Grain Growth. MRS Online Proceedings Library 343, 55–59 (1994). https://doi.org/10.1557/PROC-343-55

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  • DOI: https://doi.org/10.1557/PROC-343-55

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