Grain Growth Behaviors Observed by a Modified Potts-MC-type Simulation

Abstract

Details of the Potts-MC-type simulation model modified to reduce computing time were explained and effects of parameters to control anti-freezing of the structure, orientation-relation-dependent migration rate and energy of boundaries as well as orientation-relation-dependent migration rate of triple lines on the elementary structural development process were presented. Some topological characters of the structures observed by the modified method were then compared with earlier reported ones. Most of them coincided with the earlier reported results. The critical grain size has been found to coincide with the topological mean grain size. The transition probabilities of grains between topological classes in the shortest elapsed time are reported for the first time; they suggest that the steady state topological grain size distribution could exist for only a short period.

A Method of Estimation of Grain Growth Texture Development via Hybridization of Simulation and Statistics

“…The decrease in the migration rate of boundaries as a result of the decrease in boundary energy (Fig. 5(a) in the previous report 11) ) insignificantly affects the boundary energy effect shown in Fig. 4(a).…”

“…and Triple Line Migration The effects reported in the previous paper 11) are summarized as follows (here R and F represent generally R permission in Eq. (3) and f in in Eq.…”

“…Initial structures were, as described in the previous report, 11) obtained from starting structures by grain coarsening process with R = 1 and F = 100. They contained approximately 7 200 grains.…”