Phase field simulation for the evolution of textured ceramics microstructure

A modified model using phase field method in order to describe grain-oriented growth is developed. The evolution of the long-range order (lro) parameter fields is governed by the time-dependent Ginzburg–Landau equation. Periodic boundary conditions are implemented in simulation. The gradient energy coefficient ki is allowed to depend on both the parameters along x-axis (kx) and z-axis (kz). Anisotropic coefficient C is proposed to describe the ratio of kx to kz. Interface energy anisotropy causes significant deviation of grain growth kinetics from the one observed in isotropic system and does change the size and shape of grains. When the interface energy is anisotropic, the ratio of the average mean linear intercept (MLI) in the different direction is time-dependent and self-similarity does not hold anymore. The value of anisotropic coefficient C strongly influences grain growth behavior. The simulation result is consistent with the experimental result of textured ceramics prepared by reaction templated grain growth.