Computer Simulation of the Sintering of Two Spheres

  • D. Lynn Johnson


The early sphere on plate and two-sphere sintering models assumed single mechanisms and predicted specific neck radius and linear shrinkage dependencies on isothermal sintering time [1–7]. It gecame apparent that in many circumstances more than a single mechanism would be operative, and the observed time dependence of neck growth and shrinkage would be altered [5]. A method of analyzing initial sintering of spheres under conditions that grain boundary, volume and surface diffusion were occurring simultaneously was proposed and has proven successful for the investigation of sintering of spherical metallic particles with a narrow size distribution. A computer program was written which simulated sintering behavior which compared quite favorably with experimental data [8]. The following is a discussion of the model and its early successes.


Surface Diffusion Boundary Diffusion Volume Diffusion Linear Shrinkage Neck Size 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Kuczynski, G. C., Trans. Am. Inst. Min. (Metall.) Engrs, 185 (1949) 169.Google Scholar
  2. 2.
    Kingery, W. D. & Berg, M., J. Appl. Phys., 26 (1955) 1205.CrossRefGoogle Scholar
  3. 3.
    Coble, R. L., J. Am. Ceram. Soc., 41 (1958) 55.CrossRefGoogle Scholar
  4. 4.
    Johnson, D. L. & Cutler, I. B. J. Am. Ceram. Soc., 46 (1963) 541.CrossRefGoogle Scholar
  5. 5.
    Johnson, D. L. & Clarke, T. M., Acta Met., 12 (1964) 1173.CrossRefGoogle Scholar
  6. 6.
    Rockland, J. G. R., Acta Met., 14 (1966) 1273.CrossRefGoogle Scholar
  7. 7.
    Rockland, J. G. R., Acta Met., 15 (1967) 277.CrossRefGoogle Scholar
  8. 8.
    Lynn Johnson, D., J. Appl. Phys., 40(1) (1969) 192.CrossRefGoogle Scholar
  9. 9.
    Lynn johnson, D., Phys. Sintering, 1 (1969) Bl.Google Scholar
  10. 10.
    Shingu, P. H., Ph.D. Dissertation, Northwestern University, 1967.Google Scholar
  11. 11.
    Lynn Johnson, D., Ultrafine-Grain Ceramics, ed. John J. Burke, Norman L. Reed & Volker Weiss, Syracuse University Press, 1970, pp. 173-83.Google Scholar
  12. 12.
    Seidel, B. R. & Lynn Johnson, D., Phys. Sintering, 3 (1971) 143.Google Scholar
  13. 13.
    Lynn Johnson, D., Modern Developments in Powder Metallurgy, Vol. IV, ed. H.H. Hausner. Plenum Press, New York, 1971, pp. 189–98.Google Scholar
  14. 14.
    Exner, H. E., Rev. Powder Metall. Phys. Ceram., 1 (1979) 1.Google Scholar
  15. 15.
    Ross, J. W., Miller, W. A. & Weatherly, G. C. Z. Metallkd., 73(6) (1982) 391.Google Scholar
  16. 16.
    Hwang, K. S. & German, R. M., Mater. Sci. Res., 16 (1984) 35.CrossRefGoogle Scholar

Copyright information

© Elsevier Science Publishers Ltd 1990

Authors and Affiliations

  • D. Lynn Johnson
    • 1
  1. 1.Department of Materials Science and EngineeringNorthwestern UniversityEvanstonUSA

Personalised recommendations