摘要

In this work, based on the classical grain boundary (GB) formula and the principle of work-energy conversion, a new physically-based model has been developed to predict the particle pinning force concerning the interaction between second phase particles (SPPs) and the moving GB. The effect of particles pinning on the GB movement is analyzed. The modeling results can be applied to quantitatively determine the critical numbers of SPPs required for complete pining the grain growth, such as the critical SPPs number of the unit GB area, the critical number for single grain stagnation, the critical volume fraction of particles at a given particle size. Theoretical predictions are in good agreement with the experimental results by Gladman.