Abstract
2-dimensional simulation of the migration behavior of grain boundary for regular polygons is carried out by using the finite element method. In the finite element calculation, a straight line element is applied to represent the grain boundaries where surface tension exerts. The driving force for boundary migration is the free energy reduction per unit volume atoms crossing the boundary. The polygons with edges less than 6 shrinks and finally disappears, while those with edges more than 6 grows. The grain boundary shape between triple points at steady state can be approximated by circle arcs. The migration velocity of the grain boundary is inversely proportional to the grain radius, indicating that a square of the radius is proportional to the time. The proportional constant increases with the number of edges of the regular polygons. In the case of a regular trigonal grain, the predicted annihilation time is consistent well with that from the theoretical model.
