Effects of Particle‐Size Distribution in Initial‐Stage Sintering

Publisher Website
Google Scholar
Abstract
Diffusion models for the initial‐stage sintering of spherical particles were developed for distributions of particle sizes. A linear array of particles with different sizes was treated quantitatively; number, rather than weight, distributions are considered directly to permit summation of particle‐pair interactions. Evaluation of a single particle size which will characterize the equivalent shrinkage of the distributed array of random particles yields a size much smaller than that which would designate the division at 50 wt% finer conventionally used. Also, the effective size is smaller for the lattice‐diffusion model than for the grain‐boundary‐diffusion‐controlled model. The results show that the rates for binary mixtures are intermediate between the behaviors of the end‐member sizes, in accordance with previous experimental findings. A square array of equal spheres with contacting interstitial spheres was also analyzed. Coherent shrinkage requires a retardation of shrinkage along the diagonal contacts (due to tensile loads). Procedures for evaluating the stress transfer were generated for this and similar particle packings. The calculated shrinkage rate is again intermediate between that predicted from previous models and the end‐member sizes.

This publication has 7 references indexed in Scilit: