Grain size distribution and topological correlations during ostwald ripening : Monte Carlo Potts model simulation

الملخص EN

Practically most polycrystalline materials such as ceramics are sintered by liquid during processing; for example, tungsten carbide applied for cutting tools.

In liquid sintering, grain structure is controlled by Ostwald ripening.

In this work, the Monte Carlo Potts model is employed to simulate Ostwald ripening in solid-liquid mixture.

Based on the computer simulation, the grain size distribution and the topological correlations were analyzed for a series of volume fraction of the solid grains varies between 40% - 90%.

It is found that after a long time within the quasi-stationary state, the scaled grain size distribution and the topological distribution of grain sides keep invariant with time.

It is further shown that the scaled grain size distribution can be described very well with the normal distribution function.

Whereas at high volume fractions, the scaled grain size distribution is in very good agreement with an analytical grain size distribution function based on a statistical mean-field theory of grain growth.

Moreover, the grain size distribution is found to be dependent on the volume fraction of the solid grains.

It becomes more peaked as the volume fraction increases