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

A method to simulate crystallographic texture development using a small computer is presented. The growth behavior of a specified grain embedded in previously prepared matrix grains, for which the energy and mobility of grain boundaries as well as the mobility of triple lines depended on the relation between the orientations of the embedded and matrix grains, was first observed by a modified Potts-Monte Carlo-type three-dimensional grain growth simulation model. A specimen investigated using a single simulation corresponded to part of the mother specimen, and hence, was sufficiently small to be handled by a personal computer. The texture development in the mother specimen was then statistically estimated from results obtained by varying the size of embedded grains. The orientation-relation-dependent mobility of triple lines was found to substantially influence the texture change developed by the orientation-relation-dependent energy of grain boundaries.