The migration of embedded symmetrical grains was simulated by using the 2-dimensional finite-element method. The equilibrium shape of a grain boundary was predicted in the dynamic state, and the migration rate of the predicted grain boundaries was investigated. The equilibrium shape of a grain boundary in the dynamic state was found to be slightly different to the circular arc description which would apply to the shape in the static state. By determining the systematic variation in the boundary shape of embedded n-sided grains, it was confirmed that dynamic effects on the shape appeared during the grain boundary migration. A geometrical equation was proposed which described the grain boundary shape in the dynamic equilibrium state. The simulated migration behavior of the grain boundary with the equilibrium shape exhibited almost the same behavior as that predicted by the circular arc description. The dynamic effects upon grain growth-rate were considered to be negligible.

Two-Dimensional Finite Element Simulation of Grain Boundary Migration for Embedded Symmetric Grains. B.N.Kim: Computational Materials Science, 2000, 18[2], 177-84