The creep rate (ė) predicted by the boundary diffusion (Db) model is ė≃150σDbWΩ/(GS)3kT, where σ is the stress, W is the boundary width, (GS) is the average grain size, and Ω is vacancy volume. The stress dependence is the same as the lattice diffusion model, given by C. Herring, while the grain size dependence and the numerical constant are greater for boundary diffusion. Discussion of the mechanism of creep in polycrystalline alumina is based on the differences between the lattice and boundary diffusion models.

A Model for Boundary Diffusion Controlled Creep in Polycrystalline Materials

Mechanical behavior of crystalline solids at elevated temperature

Transmission Electron Microscopy of Experimentally Deformed Olivine Crystals

Transport of Matter in Simple Ionic Crystals (Cubic Halides)

Oxygen ion diffusion coefficients in single-crystal Al2O3 are several orders of magnitude less than alminum ion diffusion coefficients in polycrystalline Al2O3. In polycrystalline Al2O3, oxygen ion diffusion is enhanced by the presence of grain boundaries as in the chloride ion diffusion in the alkali halides. Creep and sintering of polycrystalline Al2O3 occur at a faster rate than is possible through control by lattice diffusion of oxygen; the rates are in fair quantitative agreement with cation diffusion. It is tentatively concluded that enhanced oxygen diffusion in regions adjacent to boundaries allows aluminum ion bulk diffusion to be rate controlling for these processes. The electrical conductivity in Al2O3 is too high to be related to either anion or cation diffusion and is predominantly electronic.

Effect Of Grain Boundaries on Diffusion‐Controlled Processes in Aluminum Oxide

Effects of gross imperfections on chloride ion diffusion in crystals of sodium chloride and potassium chloride

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Effects of gross imperfections on chloride ion diffusion in crystals of sodium chloride and potassium chloride