A model of densification with simultaneous grain growth

TLDR: In this article, the relation between the relative density ρ and average particle/grain size R, logρ (1−ρ0)/ρ0( 1−ρ) =k4KG log(R/R0), where R 0 is the initial particle size, ρ 0 is green density, KG is the dimensionless parameter dependent on the spread of the distribution of particle or grain size in the compact, and k4=SS/(1− σ) S (SS is the pore surface area of the compact and S is the total area of particles

Abstract: A densification model in which grain growth and densification progress simultaneously in a powdered compact produced the relation between the relative density ρ and average particle/grain size R, logρ (1−ρ0)/ρ0(1−ρ) =k4KG log(R/R0), where R0 is the initial particle size, ρ0 is the green density, KG is the dimensionless parameter dependent on the spread of the distribution of particle/grain size in the compact, and k4=SS/(1−ρ) S (SS is the pore surface area of the compact and S is the total area of particles/grains). Sintering data of BaCl2‐ and halogen‐doped MgO compacts deviated slightly from the theoretically calculated relation. This discrepancy is interpreted in terms of the heterogeneously packed structure of particles/grains.