Interpretation of Frenkel’s Theory of Sintering Considering Evolution of Activated Pores: II. Model and Reliability

  • C.-L. Yu School of Materials Science and Engineering, Shaanxi University of Science and Technology
  • D.-P. Gao School of Materials Science and Engineering, Shaanxi University of Science and Technology
  • S.-M. Chai School of Materials Science and Engineering, Shaanxi University of Science and Technology
  • Q. Liu School of Materials Science and Engineering, Shaanxi University of Science and Technology
  • H. Shi School of Materials Science and Engineering, Shaanxi University of Science and Technology
  • X.-L. Xie School of Materials Science and Engineering, Shaanxi University of Science and Technology

Abstract

Frenkel's liquid-phase sintering mechanism has essential influence on the sintering of materials, however, by which only the initial 10% during isothermal sintering can be well explained. To overcome this shortage, Nikolić et al. introduced a mathematical model of shrinkage vs. sintering time concerning the activated volume evolution. This article compares the model established by Nikolić et al. with that of the Frenkel's liquid-phase sintering mechanism. The model is verified reliable via training the height and diameter data of cordierite glass by Giess et al. and the first-order partial differential equation. It is verified that the higher the temperature, the more quickly the value of the first-order partial differential equation with time and the relative initial effective activated volume to that in the final equibrium state increases to zero, and the more reliable the model is.

Published
2017-12-13
Issue
Vol 47 No 1 (2015)
Section
Articles

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