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International Journal for Multiscale Computational Engineering

Publication de 6  numéros par an

ISSN Imprimer: 1543-1649

ISSN En ligne: 1940-4352

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PHASE FIELD MODELING OF NORMAL AND STRESSED GRAIN GROWTH: THE EFFECT OF RVE SIZE AND MICROSCOPIC BOUNDARY CONDITIONS

Volume 19, Numéro 1, 2021, pp. 1-15
DOI: 10.1615/IntJMultCompEng.2021035463
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M. S. Ghaffari Rad
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156-83111, Iran
Mohammad Gelooyak Jafari
Department of Mechanical Engineering, Yazd University, Yazd 89158-18411, Iran
M. Jamshidian
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156-83111, Iran
S. Akbaran
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156-83111, Iran
Mohammad Silani
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran
Timon Rabczuk
Institute of Structural Mechanics, Bauhaus-Universitat Weimar, Marienstr. 15, D-99423 Weimar, Germany

RÉSUMÉ

Multiscale modeling of microstructure evolution in polycrystalline metals is involved with the concept of a representative volume element (RVE) that represents a material point under consideration. Phase field modeling of microstructure evolution due to grain boundary migration is commonly performed with a rectangular RVE in 2D or a cubic RVE in 3D. In this paper, phase field simulations are used to investigate the RVE size and boundary condition effects on the kinetics of both normal and stressed grain growth in 2D RVEs. The simulations of stressed grain growth are performed for a polycrystalline copper with elastic cubic symmetry under elastic uniaxial loading. With an initial average grain diameter of 20 μm, the RVE size is varied in the range from 50 to 1000 μm. Two different boundary conditions, including the periodic boundary condition and the symmetric boundary condition, are investigated. Generally, the periodic boundary condition is applied to statistical RVEs with sufficient scale separation between the microstructure and macrostructure, while the symmetry boundary condition is used at free surfaces ofpolycrystalline miniature structures with no statistical periodicity. To determine the optimum RVE size under a specific boundary condition, a convergence analysis is performed by plotting the grain growth component as a function of RVE size. The optimum RVE size for periodic and symmetric boundary conditions is found to be 300 and 500 μm, respectively. Hence, along with the concept of statistical periodicity of the RVE, the periodic boundary condition is preferred for an embedded material point. Also, the periodic boundary condition overestimates the kinetics of the grain growth in an RVE with free surfaces. In this case, symmetry boundary condition at free surfaces decelerates the overall rate of grain growth for small RVE sizes.

MOTS CLÉS: phase field modeling, grain growth, polycrystalline RVE, boundary condition
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CITÉ PAR

  1. Rezaei Y., Jafari M., Jamshidian M., Phase-field modeling of magnetic field-induced grain growth in polycrystalline metals, Computational Materials Science, 200, 2021. Crossref

  2. Ladjeroud Aniss Ryad, Amirouche Lynda, 3D phase-field simulations of lamellar and fibrous growth during discontinuous precipitation, Applied Physics A, 128, 7, 2022. Crossref

  3. Rezaei Y., Jafari M., Hassanpour A., Jamshidian M., Multi-phase-field modeling of grain growth in polycrystalline titanium under magnetic field and elastic strain, Applied Physics A, 128, 10, 2022. Crossref

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