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

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Abstract

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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  1. the Department of Engineering Science and Mechanics, P/M Lab, The Pennsylvania State University, 16802-6809, University Park, PA

    Randall M. German (Brush Chair Professor of Materials)

  2. the Department of Mechanical Engineering, San Diego State University, 92182-1323, San Diego, CA

    Eugene A. Olevsky (Assistant Professor)

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  1. Randall M. German
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German, R.M., Olevsky, E.A. Modeling grain growth dependence on the liquid content in liquid-phase-sintered materials. Metall Mater Trans A 29, 3057–3067 (1998). https://doi.org/10.1007/s11661-998-0213-z

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