Abstract
The finite element method is employed to simulate the microstructural evolution through grain coarsening within capillary liquid bridge. Liquid and solid phase domains will be represented with curved interfaces defined by the discrete set of points. Numerical method for simulation of grain coarsening will be based on the interfacial concentration as given by the Gibbs-Thomson equation and on modeling of intergrain diffusional interactions. It will be shown that the strong intergrain diffusional interactions can induce large shape distortion of multi grain model. Simulation of the grain coarsening for W-Ni alloy will be demonstrated as a first step.
Highlights
The phenomenon of liquid phase sintering (LPS) has been studied extensively due to its wide applicability to engineering materials and due to the fact that the presence of a liquid phase simultaneously increases both the density of the resulting compacts and the rate of particle coarsening
The main conditions for LPS are that the composition of the powder and the firing temperature must be chosen such that a small amount of liquid forms from between the grains and that the powder compact must satisfy three general requirements: there is a liquid phase at the sintering temperature, the solid phase is soluble in the liquid, and the liquid wets the solid
Studying the grain growth of single crystal W spheres of uniform sizes in the presence of liquid Ni, they concluded that the driving force of the process is not, as it usually assumed, equivalent to the difference in the grain size of the solid phase, but the difference of the chemical potential between solid grains which dissolve in the liquid phase and solid phase obtained by precipitation
Summary
The phenomenon of liquid phase sintering (LPS) has been studied extensively due to its wide applicability to engineering materials and due to the fact that the presence of a liquid phase simultaneously increases both the density of the resulting compacts and the rate of particle coarsening. Typical phenomenon of LPS is that the solid grains of different size dispersed in the liquid matrix show a tendency of grow of larger grains at the expense of smaller ones which dissolve and are their immediate neighbors. The explanations of this phenomenon are largely based on the empirically established laws [1,2,3,4,5]. A interesting approach for investigation of grain coarsening is the application of numerical procedures together with Monte Carlo Potts model because of its ability for describing temporal domain evolution. Tikare and Cawley [21,22] used a simulation technique based on 2D Monte Carlo Potts model for describing grain coarsening with a fully wetting condition. Simulation of the grain coarsening inside the capillary bridge for W-Ni alloy will be demonstrated as a first step
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