Mesoscale experiment and simulation permit harvesting information about both geometric
features and texture in polycrystals. The grain boundary character distribution (GBCD) is an …

A sparse bounding box algorithm is extended to perform efficient phase field simulations of
grain growth in anisotropic systems. The extended bounding box framework allows to …

Cellular networks are ubiquitous in nature. They exhibit behavior on many different length
and time scales and are generally metastable. Most technologically useful materials are …

Most technologically useful materials possess polycrystalline microstructures composed of a
large number of small monocrystalline grains separated by grain boundaries. The …

Polycrystalline materials undergoing coarsening can be represented as evolving networks
of grain boundaries, whose statistical characteristics describe macroscopic properties. The …

Cellular networks are ubiquitous in nature. They exhibit behavior on many different length
and time scales and are generally metastable. Most technologically useful materials are …

Abstract The MacPherson-Srolovitz formula has been recently established as a
generalization of the two dimensional von Neumann relation for microstructure coarsening …

Mesoscale experiment and simulation permit harvesting information about both geometric
featuresand texture in material microstructures. The grain boundary character distribution …

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 …