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

Authors

  • 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.

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Published

2017-12-13

Issue

Vol. 47 No. 1 (2015)

Section

Articles