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Growth path envelope analysis of ostwald ripening

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Abstract

Optimized procedures for performing growth path envelope (GPE) analysis of processes involving growth or shrinkage of particles have been developed, and the process has been automated using computerized statistical curve fitting and numerical analysis. The Weibull function was found to represent accurately the initial cumulative size distribution data, while a nonlinear function was found best for fitting ther-tgrowth paths for coarsening. A strategy for efficient selection of constant Nv> values for the analysis is described. The optimized methods have been applied to the analysis of Ostwald ripening during liquid-phase sintering of Cu-20Co alloy, and means for obtainingr * and growth velocities and testing coarsening theories are presented. Results from the automated procedure compare favorably with those from manual analysis but are obtained with considerably reduced effort.

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References

  1. R.T. DeHoff:Metall. Trans., 1971, vol. 2, pp. 521–26.

    Article  Google Scholar 

  2. LelandWilkinson:SYSTAT: The System for Statistics, SYSTAT, Inc., Evanston, IL, 1987.

    Google Scholar 

  3. Z. Fang and B.R. Patterson:Modern Developments in Powder Metallurgy, Vol. 18, MPIF, Princeton, NJ, 1988, pp. 615–24.

    Google Scholar 

  4. Z. Fang, B.R. Patterson, and M.E. Turner, Jr.: University of Alabama at Binningham, Binningham, AL, unpublished research, 1989.

  5. E.E. Underwood:Quantitative Stereology, Addison-Wesley Publishing Co., Reading, MA, 1970, pp. 123–26.

    Google Scholar 

  6. J.F. Lawless:Statistical Models and Methods for Lifetime Data, John Wiley & Sons, New York, NY, 1982.

    Google Scholar 

  7. R. O’Neill:Appl. Stat., 1971, vol. 20, pp. 338–45.

    Article  Google Scholar 

  8. R.T.DeHoff: University of Florida, Gainesville, FL, unpublished research, 1989.

  9. C. Wagner:Z. Elektrochem., 1961, vol. 65, pp. 581–91.

    Google Scholar 

  10. C.H. Kang and D.N. Yoon:Metall. Trans. A, 1981, vol. 12A, pp.65–69.

    Article  Google Scholar 

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Authors and Affiliations

  1. University of Alabama, 35294, Birmingham, AL

    Z. Fang (Graduate Research Assistant, Materials Science), B. R. Patterson (Professor, Materials Science and Engineering Department) & M. E. Turner (Professor, Biostatistics and Biomathematics Department)

Authors
  1. Z. Fang
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  2. B. R. Patterson
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  3. M. E. Turner
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Fang, Z., Patterson, B.R. & Turner, M.E. Growth path envelope analysis of ostwald ripening. Metall Trans A 22, 19–23 (1991). https://doi.org/10.1007/BF03350945

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  • DOI: https://doi.org/10.1007/BF03350945

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