Constant of motion for ideal grain growth in three dimensions
نویسندگان
چکیده
Most metallic and ceramic materials are comprised of space-filling collections crystalline grains separated by grain boundaries. While this structure has been studied for more than a century, there few rigorous results regarding its global properties available in the literature. We present result three-dimensional structures that relates integral Gaussian curvature over boundaries to numbers quadruple junctions. The is numerically verified consisting periodic truncated octahedra.
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2021
ISSN: ['1098-0121', '1550-235X', '1538-4489']
DOI: https://doi.org/10.1103/physrevb.104.l140103