Abstract 'Cell-based'models provide a powerful computational tool for studying the
mechanisms underlying the growth and dynamics of biological tissues in health and …

We propose GrainGNN, a surrogate model for the evolution of polycrystalline grain structure
under rapid solidification conditions in metal additive manufacturing. High fidelity …

Many technologically useful materials are polycrystals composed of a myriad of small
monocrystalline grains separated by grain boundaries. Dynamics of grain boundaries play a …

Grain boundary migration in the presence of thermal grooving effects play a critical role in
the stability of the thin polycrystalline films used in numerous technological applications. We …

In this paper we describe a high-resolution transport formulation of the regional level-set
approach for an improved prediction of the evolution of complex interface networks. The …

A new-curvature three dimensional cellular automata model for grain coarsening is
proposed. The model takes account of the effects of grain size on the local-curvature. The …

The von Neumann-Mullins law for the area evolution of a cell in the plane describes how a
dry foam coarsens in time. Recent theory and experiment suggest that the dynamics are …

Important statistical descriptors of grain boundary networks are misorientation distribution
functions (often referred to as grain boundary character distributions), which show relative …

For mathematical modeling of polycrystalline materials, it is critical to understand how the
statistics of evolving grain boundary networks depend on the set of laws that govern the …

Recrystallization models and simulations have been the subject of much attention in
materials community in the past decades due to this process having a significant effect on …