A 2-dimensional model was described for the simulation of grain boundary motion during high-temperature low-cycle fatigue. The driving force for such motion was assumed to be the difference in dislocation density of neighboring grains. This difference was quantified in terms of a difference in the Schmid factors of the grains; due to their differing crystallographic orientations. Grain boundary sliding was also taken into account. It was found that, during the simulation runs, some grains grew while other grains shrank and vanished due to boundary motion.

K.J.Draheim, G.Gottstein: Computational Materials Science, 1996, 7[1-2], 208-12