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首页> 外文会议>Minerals, Metals and Materials Society >Generalized Phase-Field Modeling of Microstructural Evolution in Solids: Incorporation of Rigid-Body Motion of Grains and Mobility/Energy Anisotropy of Grain Boundaries
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Generalized Phase-Field Modeling of Microstructural Evolution in Solids: Incorporation of Rigid-Body Motion of Grains and Mobility/Energy Anisotropy of Grain Boundaries

机译：固体微观结构演化的广义相场建模：晶粒晶粒刚体运动的掺入和晶粒边界的各向异性

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We review the recent extension of the continuum phase field model to take into account rigid-body grain motion as well as grain boundary anisotropy. Rigid-body motion is incorporated by solving the phase field equations self-consistently with mass conservation at grain boundaries. Grain boundary energy anisotropy is introduced through gradient coefficients in the coarse-grained free energy that are a function of inclination and misorientation, following the Read-Shockley dislocation model of grain boundaries. Mobility anisotropy is introduced in a similar way by taking the kinetic coefficient in the Ginzburg-Landau equation to depend on misorientation and inclination. We apply these generalized models to study phenomena where rigid-body motion and grain boundary energy and mobility anisotropy play important roles in microstructural evolution, such as pore closure and cavity growth at grain boundaries, and texture development during grain growth. We demonstrate that surface and grain boundary diffusion will not lead to pore closure and densification without rigid-body motion. For grain growth in anisotropic media, the model has been validated against exact analytical solutions for the classical problem of a single grain embedded in an infinite matrix grain. It is found that grain boundary energy anisotropy has a much stronger effect on grain shape than anisotropy in the grain boundary mobility. In a polycrystalline aggregate with mobility anisotropy, we find that texture develops in the system. However, size and edge distributions of grains are time independent as in the isotropic case. The average grain area grows linearly with time, even though the area change of each individual grain in the aggregate is non-linear.
机译：我们审查了近期延伸的连续阶段阶段模型，以考虑刚体晶粒运动以及晶界各向异性。通过在晶界的质量守恒中求解相位场方程来求解相位场方程，并入刚体运动。通过粗粒的自由能中的梯度系数引入晶界能量各向异性，这是晶粒边界的读取冲击脱位模型之后的粗糙粒度自由能中的渐变系数。通过在Ginzburg-Landau方程中的动力系数取决于杂志和倾斜，以类似的方式引入了移动性各向异性。我们将这些广义模型应用于研究现象，其中刚体运动和晶界能量和移动性各向异性在微观结构演化中起重要作用，例如晶粒边界的孔隙闭合和腔生长，以及晶粒生长期间的纹理发展。我们证明，表面和晶界扩散不会导致孔隙闭合和致密化而没有刚体运动。对于各向异性培养基中的晶粒生长，该模型已被验证，用于针对嵌入无限基质晶粒中的单粒颗粒的经典问题的精确分析解决方案。结果发现，晶界能量各向异性对晶粒边界移动性的各向异性具有更强的对晶粒形状的影响。在具有移动各向异性的多晶骨料中，我们发现系统中的纹理在系统中开发。然而，谷物的尺寸和边缘分布是与各向同性案例一样独立的时间。平均晶粒面积随时间线性地增长，即使聚集体中每个单独的颗粒的区域变化是非线性的。

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