Generic grain size distribution for liquid phase sintering

Yang, S.-N.; German, Randall M.

doi:10.1016/0956-716x(92)90376-p

Cited by 6 publications

(4 citation statements)

References 12 publications

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“…[61] A key feature is the identification of a selfsimilar grain size distribution for liquid-phase-sintered materials. As commonly noted, [53,54,58,59,70,71] the distribution is broader than predicted by Ostwald ripening concepts. The asymmetric character and simple mathematical form of the Rayleigh distribution provide important simplifications to the calculation of grain growth kinetics for a microstructure consisting of solid-solid and solid-liquid interfaces.…”

Section: Grain Size Distributionmentioning

confidence: 73%

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Modeling grain growth dependence on the liquid content in liquid-phase-sintered materials

German

Olevsky

1998

Metall Mater Trans A

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A model for grain growth during liquid-phase sintering (LPS) is presented. A Rayleigh grain size distribution is assumed based on both experimental and theoretical results. This asymmetric distribution provides a continuous driving force for coarsening. The model uses the solid grain contiguity to calculate the relative solid-state and liquid-phase contributions to coarsening. The level of grain agglomeration affects both the mean diffusion distance and interface area over which diffusion occurs. A cumulative grain growth rate is calculated assuming independent solid and liquid contributions to coarsening. Consequently, only the liquid volume fraction and solid-liquid dihedral angle are required to predict the change in grain coarsening rate with solid-liquid ratio. A prior empirical correlation between the grain growth rate constant and the liquid volume fraction is compared to the resulting analytic form, showing excellent agreement. The new model is projected to be generically applicable to microstructure coarsening in multiple phase materials, including porous structures.

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Section: Grain Size Distributionmentioning

confidence: 73%

“…[7,58,59] Fang et al [59] identified a Weibull distribution with a modulus of 2, but this is a special case where the Weibull distribution is the Rayleigh distribution. Microstructure analysis of microgravity samples further verifies the Rayleigh distribution.…”

Section: Grain Size Distributionmentioning

confidence: 98%

Modeling grain growth dependence on the liquid content in liquid-phase-sintered materials

German

Olevsky

1998

Metall Mater Trans A

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“…But, once the solid phase approaches concentrations of~50%, the assumptions in the classical theories begin to fail (Yang and German 1992). One reason is that the static picture of isolated, non-interacting phases is an oversimplification.…”

Section: Ostwald Ripeningmentioning

confidence: 99%

“…Kaysser et al (1984) found good agreement between these predictions and their experimental results. Yang and German (1992) proposed a generic grain size distribution for~80% ªprecipitatesº on the basis of experimentally determined grain size distributions. Recently, German and Olevsky (1998) attempted to combine Ostwald ripening and grain growth in solid materials to improve the description of the behavior of aggregates with <~50% melt.…”

Section: Ostwald Ripeningmentioning

confidence: 99%

A few remarks on the kinetics of static grain growth in rocks

2001

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Static grain growth is a relatively simple transformation in which grain size increases under driving forces caused by grain and interphase boundary curvature. Given the relative simplicity of the protocol for grain growth experiments, measurements of grain boundary mobility show surprising variations. Boundary mobilities during grain growth are affected by solute and impurity chemistry, chemical fugacity of trace and major elements, pore size and number, pore fluid chemistry, the presence of melts, and the presence of solid second phases, as well as temperature and pressure. All of these factors may exert influence on grain growth of rocks in natural situations and many are also present during the laboratory experiments. Provided that the necessary kinetics parameters are known, bounds may be placed on the interface mobility when pores, partial melts, or solutes are present. To predict the rate of grain growth in natural situations will require improved laboratory data and careful consideration of the thermodynamic conditions likely to be encountered in nature.

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Application of image analysis for characterization of spatial arrangements of features in microstructure

Louis¹,

Gokhale

1995

Metall Mater Trans A

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Generic grain size distribution for liquid phase sintering

Cited by 6 publications

References 12 publications

Modeling grain growth dependence on the liquid content in liquid-phase-sintered materials

Modeling grain growth dependence on the liquid content in liquid-phase-sintered materials

A few remarks on the kinetics of static grain growth in rocks

Application of image analysis for characterization of spatial arrangements of features in microstructure

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