An inverse hall petch relation is observed for the nano grained yag ceramic and a forward hall petch relation is observed for the coarse grained yag ceramic. Stresses have to be exercised with understanding of the limits of the specific ceramics and the level that it can endure before fracture. An elastic viscoplastic model based on coupled deformation mechanisms of grain boundary sliding grain boundary diffusion grain interior diffusion and grain interior plasticity is developed to investigate the mechanical behavior of nanocrystalline metals.
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