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Here we investigate the effect of grain size distribution on the generation of local stress concentration in ceramic materials creeping by localized flow of a viscous grain boundary phase.
A three-dimensional analysis of creep due to a viscous grain boundary phase is presented where the amount of creep strain is proportional to the volume fractionf of the viscous phase.
Throughout the work, cyclic and static damage mechanisms which may be operating ahead of the crack tip (e.g. creep cavitation) are ignored in order to focus exclusively on the role of viscous grain bridging.
The model incorporates power-law creep of the grains, viscous grain boundary sliding between grains as well as the nucleation and growth of grain boundary cavities until they coalesce and form microcracks.
When the sliding of a viscous grain boundary is accommodated by grain-boundary diffusion, we evaluate the sliding rate and the stress distribution on the boundary, by employing the energy-balance method developed by Mori et al. [Mori T, Nakasone Y, Taya M, Wakashima K. Phil Mag Lett 1997 75 359 and Mori T, Koda M, Monzen R, Mura T. Acta Metall 1983 31 275].
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As the boundary viscosity becomes sufficiently large, the deformation rate is dominated by viscous grain-boundary sliding, and the contribution of grain-boundary diffusion becomes negligible.
The successful use of enzymes in viscous grain-based diets has initiated research for the use of enzymes for other ingredients, such as vegetable proteins high in NSP (Choct, 2006).
Moreover, no effect of frequency was detected (between 3 and 1000 Hz), nor evidence of creep cavitation or crack bridging by viscous ligaments or grain-boundary glassy phases in the crack wake.
The creep rate due to localized viscous flow of the grain boundary phase and cavity growth is evaluated.
The results show that, because of the inhomogeneity, the local stress in the grain boundary viscous phase at the locations of large grains can exceed the critical stress for cavity nucleation.
The results presented are seen as the first clear evidence that the internal friction peak monitored for various glass-containing ceramics is indeed related to a viscous sliding process along grain boundaries.
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