49 citations · 64 across the 5 of their papers we have counts for
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A constant of motion for ideal grain growth in three dimensions
Erdem Eren, Jeremy Kyle Mason
Most metallic and ceramic materials are comprised of a space-filling collection of crystalline grains separated by grain boundaries. While this grain structure has been studied for…
Topological transitions during grain growth on a finite element mesh
Erdem Eren, Jeremy K. Mason
The topological transitions that occur to the grain boundary network during grain growth in a material with uniform grain boundary energies are believed to be known. The same is no…
Classification of atomic environments via the Gromov-Wasserstein distance
Sakura Kawano, Jeremy K. Mason
Interpreting molecular dynamics simulations usually involves automated classification of local atomic environments to identify regions of interest. Existing approaches are generall…
Distribution of Topological Types in Grain-Growth Microstructures
Emanuel A. Lazar, Jeremy K. Mason, Robert D. MacPherson +1
An open question in studying normal grain growth concerns the asymptotic state to which microstructures converge. In particular, the distribution of grain topologies is unknown. We…
Basis functions on the grain boundary space: Theory
Jeremy K. Mason, Srikanth Patala
With the increasing availability of experimental and computational data concerning the properties and distribution of grain boundaries in polycrystalline materials, there is a corr…