Journal of Materials Science

, Volume 22, Issue 2, pp 488–494 | Cite as

Computer simulation of effects of the pore size distribution on the kinetics of pressure-assisted final-stage densification

  • Alan J. Markworth
  • J. Kevin McCoy
Papers

Abstract

Most theoretical treatments of pressure-assisted densification of porous solids assume a single size for all pores. We remove this assumption and consider a distribution of pore sizes. Dissolution of intragranular pores by volume diffusion and dissolution of intergranular pores by grain-boundary diffusion are both treated. The evolution with time of pore size distributions is calculated for distributions that are initially described by log-normal and Weibull functions, and differences in predicted behaviours are discussed. The pore size distribution is then related to two important quantities: porosity and number of pores per unit volume. The assumption of a distribution of pore sizes is found to avoid certain unrealistic predictions obtained from models with a single pore size, such as abrupt disappearance of all pores and rapid approach to full density.

Keywords

Pore Size Distribution Weibull Distribution Pore Radius Velocity Function Size Distribution Function 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. J. Markwörth,Scripta Metall.18 (1984) 1309.CrossRefGoogle Scholar
  2. 2.
    G. W. Greenwood, in “Vacancies '76”, edited by R. E. Smallman and J. E. Harris (The Metals Society, London, 1977) p. 141.Google Scholar
  3. 3.
    Ya. E. Geguzin andI. M. Lifshits,Soviet Phys. — Solid State4 (1962) 971.Google Scholar
  4. 4.
    A. J. Markwörth,Scripta Metall.6 (1972) 957.CrossRefGoogle Scholar
  5. 5.
    H. Trinkaus,ibid.15 (1981) 825.CrossRefGoogle Scholar
  6. 6.
    D. Hull andD. E. Rimmer,Phil. Mag.4 (1959) 673.CrossRefADSGoogle Scholar
  7. 7.
    J. Weertman,Scripta Metall.7 (1973) 1129.CrossRefGoogle Scholar
  8. 8.
    A. D. Randolph andM. A. Larson, “Theory of Particulate Processes - Analysis and Techniques of Continuous Crystallization” (Academic Press, New York, 1971) pp. 53 ff.Google Scholar
  9. 9.
    A. J. Markwörth, in “Defects and Transport in Oxides”, edited by M. S. Seltzer and R. I. Jaffee (Plenum Press, New York, 1974) p. 397.Google Scholar
  10. 10.
    G. Tomandl, in “Science of Ceramics”, Vol. 9, edited by K. J. deVries (The Netherlands Ceramic Society, Tiel, 1977) p. 158.Google Scholar
  11. 11.
    G. Soullard, L. Martinez andJ. Oseguera,Scripta Metall.19 (1985) 581.CrossRefGoogle Scholar
  12. 12.
    L. Martinez andJ. H. Schneibel,Phil. Mag. A51 (1985) L29.CrossRefADSGoogle Scholar

Copyright information

© Chapman and Hall Ltd. 1987

Authors and Affiliations

  • Alan J. Markworth
    • 1
  • J. Kevin McCoy
    • 1
  1. 1.BattelleColumbusUSA

Personalised recommendations