Two-dimensional finite element simulation of grain boundary migration for embedded symmetric grains

The grain boundary migration of embedded symmetric grains is simulated by t he two-dimensional finite element method. The equilibrium shape of a grain boundary is predicted at dynamic state and the migration rate is investigat ed for the predicted grain boundary. The equilibrium shape of a grain bound ary at dynamic state is found to be slightly different from the circular ar e description which would be the shape at static state. By finding the syst ematic variation of the boundary shape in the embedded n-sided grains, it i s verified that the dynamic effects on the shape appear during the grain bo undary migration. A geometrical equation is proposed describing the grain b oundary shape at dynamic equilibrium state. The simulated migration behavio r of the grain boundary of equilibrium shape shows nearly the same behavior predicted from the circular are description. The dynamic effects on grain growth rate are considered to be negligible. (C) 2000 Elsevier Science B.V. All rights reserved.