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A Multiple-Lognormal Model of Normal Grain Growth

  • F. M. A. Carpay
  • S. K. Kurtz
Part of the Materials Science Research book series (MSR, volume 11)

Abstract

In the literature, grain growth models of two kinds are found: (a) “single grain” descriptions; grain growth is described for a single, freely growing grain, where the grain boundary movement resulting from the boundary curvature causes the change of the grain size. Simple arguments show that the diameter of a single free grain varies with the square root of the time. Sometimes with argument, but generally without, it is concluded from this single-grain behavior that the average grain size shows the same time dependence. Even modern textbooks1 treat grain growth in this way, and (b) statistical models;2-6 some authors have introduced the effect of the distribution of shapes and sizes. Smith2 suggested a natural tendency of these distributions to be fixed. Assuming a lognormal distribution of shapes as well as of sizes, Feltham3 was the first to present a quantitative statistical description of the grain growth process.

Keywords

Lognormal Distribution Cumulative Frequency Median Diameter Sinter Time Topological Parameter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Plenum Press, New York 1978

Authors and Affiliations

  • F. M. A. Carpay
    • 1
  • S. K. Kurtz
    • 1
  1. 1.Phillips Research LaboratoriesEindhovenThe Netherlands

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