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Modifications to the Zener formula for limitation of grain size

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Abstract

An experimental investigation of the ratio of grain boundary curvature to grain size is reported, from which it is deduced that the terminal grain size determined by inclusions should be about an order of magnitude less than that predicted by the Zener formula in its usual form. It is demonstrated that the Zener formula does not necessarily include the condition that each boundary is impeded by an inclusion, and a supplementary condition is derived to cover this possibility.

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References

  1. See, for example,D. Mclean, “Grain Boundaries in Metals” (Clarendon Press, Oxford, 1957) p. 239.

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  2. C. S. Smith,Trans. Amer. Inst. Min. Metall. Engrs. 175 (1948) 15.

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  3. G. D. Miles, R. A. J. Sambell, J. Rutherford, andG. W. Stephenson,Trans. Brit. Ceram. Soc. 66 (1967) 319.

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  4. C. S. Smith,Met. Rev. 9 (1964) 1.

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  5. N. A. Haroun, Ph.D. thesis, University of Sheffield (1967).

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Author notes

  1. N. A. Haroun

    Present address: Atomic Energy Establishment, Cairo, UAR

Authors and Affiliations

  1. Department of Ceramics with Refractories Technology, The University, Sheffield, UK

    N. A. Haroun & D. W. Budworth

Authors
  1. N. A. Haroun
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  2. D. W. Budworth
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Haroun, N.A., Budworth, D.W. Modifications to the Zener formula for limitation of grain size. J Mater Sci 3, 326–328 (1968). https://doi.org/10.1007/BF00741970

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  • DOI: https://doi.org/10.1007/BF00741970

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