A kinetic approach to modeling general-texture evolution in two-dimensional polycrystalline grain growth
نویسندگان
چکیده
منابع مشابه
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Most technologically useful materials arise as polycrystalline microstructures, composed of a myriad of small crystallites, called grains, separated by their interfaces, called grain boundaries. The orientations and arrangements of the grains and their network of boundaries are implicated in many properties across wide scales, for example, functional properties, like conductivity in microproces...
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We provide a well–posedness analysis of a kinetic model for grain growth introduced by Fradkov which is based on the von Neumann–Mullins law. The model consists of an infinite number of transport equations with a tri-diagonal coupling modelling topological changes in the grain configuration. Self–consistency of this kinetic model is achieved by introducing a coupling weight which leads to a non...
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We prove the existence of self-similar solutions to the Fradkov model for twodimensional grain growth, which consists of an infinite number of nonlocally coupled transport equations for the number densities of grains with given area and number of neighbours (topological class). For the proof we introduce a finite maximal topological class and study an appropriate upwind-discretization of the ti...
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ژورنال
عنوان ژورنال: Computational Materials Science
سال: 2016
ISSN: 0927-0256
DOI: 10.1016/j.commatsci.2016.08.040