From many experiments with mixtures of small and large grains, it can be
concluded that during liquid phase sintering, smaller grains partially
dissolve and a solid phase precipitates on the larger grains and grain
coarsening occurs. The growth rate can be controlled either by the
solid-liquid phase boundary reaction or by diffusion through the liquid
phase. The microstructure may change either by larger grains growing during
the Ostwald ripening process or by shape accommodation. In this study,
two-dimensional mathematical approach for simulation of grain coarsening by
grain boundary migration based on a physical and corresponding numerical
modeling of liquid phase sintering will be considered. A combined
mathematical method of analyzing viscous deformation and solute diffusion in
liquid bridge between two grains with different sizes will be proposed. The
viscous FE method will be used for calculating meniscus of the liquid bridge,
with the interfacial tensions taken into consideration. The FE method for
diffusion will be also implemented by using the same mesh as the deformation
analysis.
A mathematical approach to Ostwald ripening due to diffusion and deformation in liquid bridge
