Simulating effects of pores on grain growth during final stage of sintering in ceramics through phase field modeling

We use the phase field model to describe the microstructural evolution during the final stage of sintering. Sections 1 and 2 of the full paper explain the phase field model mentioned in the title. Section 1 presents the phase field model; Fig. 1 in section 1 gives the schematic diagram for obtaining the order parameters across the grain boundaries and the pores. Section 2 presents the initial conditions for the simulation, which are given in Table 1; Fig. 2 shows the discretized shape of a pore for simulation; Fig. 3 shows the morphology of the initial microstructure of the sintering ceramics. Section 3 discusses the simulation results; their core consists of: (1) we set the parameters, different pore sizes and numbers of pores in a 2D simulation system; (2) we observe the entrapment of pores inside grains; (3) we analyze the effects of the pore of ceramics on grain growth kinetics during the final stage of sintering; (4) the simulation results, given in Figs.4 and 6, and their analysis show preliminarily that the grain size is proportional to the pore size and the number of pores and inversely proportional to the porosity rate.