中文摘要：

引入与时间有关的取向错配场变量，模拟了晶界能各向异性条件下晶粒长大的演化行为。模拟结果表明，与晶界能各向同性系统相比，随演化时间的延长，晶界能各向异性延迟晶粒的生长，使得晶粒的平均面积呈非线性变化；在相同的演化时间下，各向异性系统的晶粒尺寸分布比各向同性系统宽；晶界边数少的晶粒所占的比例明显增加；进入准稳态后，各向异性和各向同性系统中的晶粒相对尺寸分布随时间皆无明显变化。

英文摘要：

The effect of anisotropy of grain boundary energy on the kinetic of grain growth is simulated by phase field method, in which a time-dependent misorientation in grain boundary is introduced. Simulation results indicate that in contrast to the isotropic case, when the grain boundary energy is anisotropic, the grain growth rate will be delayed and the time-dependent average area of the grains will be nonlinear. Meanwhile the effect of the anisotropy will also cause the broadening of the distribution of grain size and the increase of the number of grains with few less number of edges. However, the distribution of the normalized grain size will be time-independent in the process of microstructual evolution after the quasi-steady state is reached.