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Publication 14-CNA-026
C. E. Torres Maria Emelianenko Dmitry Golovaty David Kinderlehrer Shlomo Ta'asan Abstract: Polycrystalline materials undergoing coarsening can be
represented as evolving networks of grain
boundaries, whose statistical characteristics determine macroscopic
materials properties. The process of formation of
various statistical distributions is extremely complex and is strongly
influenced by topological changes in the network.
This work is an attempt to elucidate the role of these changes by
conducting a thorough numerical investigation of
one of the simplest types of grain growth simulation models, called
vertex models. While having obvious limitations
in terms of its ability to represent realistic systems, the vertex model
enables full control over topological transitions
and retains essential geometric features of the network.We formulate a self-consistent vertex model and investigate the role of microscopic parameters on the mesoscale network behavior. This study sheds light onto several important questions, such as how statistics are affected by the choice of temporal and spatial resolution and rules governing topological changes. Statistical analysis of the data produced by the simulation is performed for both isotropic and anisotropic grain boundary energy. Get the paper in its entirety as 14-CNA-026.pdf |