Grain Growth and the Effect of Different Time Scales

Abstract

Many technologically useful materials are polycrystals composed of a myriad of small monocrystalline grains separated by grain boundaries. Dynamics of grain boundaries play a crucial role in determining the grain structure and defining the materials properties across multiple scales. In this work, we consider two models for the motion of grain boundaries with the dynamic lattice misorientations and the triple junctions drag, and we conduct extensive numerical study of the models, as well as present relevant experimental results of grain growth in thin films.

Nonlinear inhomogeneous Fokker-Planck models: energetic-variational structures and long time behavior

“…This is especially relevant to the modeling of the evolution of the grain boundary network that undergoes disappearance/critical events, e.g. [22,8].…”

“…Further, we conducted extensive numerical experiments for the 2D grain boundary network in order to further understand/illustrate the effect of relaxation time scales, e.g. of the curvature of grain boundaries, mobility of triple junctions, and dynamics of misorientations on how the grain boundary system decays energy and coarsens with time [24,8]. Some relevant experimental results of the grain growth in thin films have also been presented and discussed in [47,8].…”

“…of the curvature of grain boundaries, mobility of triple junctions, and dynamics of misorientations on how the grain boundary system decays energy and coarsens with time [24,8]. Some relevant experimental results of the grain growth in thin films have also been presented and discussed in [47,8].…”