Modeling the formation and dynamics of polycrystals in 3D |
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| Institution: | 1. Department of Mathematical and Life Sciences, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan;2. Center for Theoretical and Computational Materials Science and Metallurgy Division, National Institute of Standards and Technology, Gaithersburg, MD 20899, USA;1. Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile;2. Facultad de Ingeniería, Universidad de los Andes, Av. San Carlos de Apoquindo 2200, Santiago, Chile;3. Instituto de Cálculo, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón II-2do. Piso, 1428 Buenos Aires, Argentina;1. Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, PR China;2. School of Materials Science and Engineering, University of Science and Technology of China, Hefei 230026, PR China;1. KU Leuven, Department of Materials Engineering, Kasteelpark Arenberg 44, bus 2450, 3001 Leuven, Belgium;2. Blue Brain Project, EPFL, Chemin des Mines 9, CH-1211 Geneva, Switzerland;1. Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156-83111, Iran;2. Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstrasse 15, 99423 Weimar, Germany;1. MINES ParisTech, PSL – Research University, CEMEF – Centre de mise en forme des matériaux, CNRS UMR 7635, CS 10207 rue Claude Daunesse, 06904 Sophia Antipolis Cedex, France;2. Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh 15213, USA;1. Department of Materials Science and Engineering, Indian Institute of Technology, Kanpur, India;2. Aerospace Engineering, Indian Institute of Technology, Kanpur, India |
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| Abstract: | Phase field models of solidification have been extended to include grain boundaries, using a variety of techniques. A model developed by Kobayashi et al. Physica D 140 (2000) 141] has been used to model a host of physical phenomena, but has so far been confined to two dimensions. In this letter we describe how to extend this model of polycrystalline solidification to three dimensions (3D). |
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