一种用于模拟各向异性晶粒生长的二维前沿跟踪拉格朗日模型
A 2D front-tracking Lagrangian model for the modeling of anisotropic grain growth
摘要：
晶粒生长是在所有多晶材料的退火期间发生的众所周知的复杂现象。其数值模拟是一个复杂的任务时，各向异性源，如晶粒取向和晶界倾斜度，必须考虑。本文介绍了应用程序的前跟踪方法ToRealMotion在以前的作品中介绍，在介观尺度的各向异性晶界运动的背景下。边界迁移的新公式可以考虑在晶界以及在多个结（MJ）（三个或更多个晶界的交点）的各向异性的任何来源。特别注意的是高阶MJ的分解，提出了一种基于局部晶界能量最小化的算法。使用高度非均匀的配置提供了数值试验，并与最近开发的有限元水平集（FE-LS）方法的比较。最后，该模型的计算性能进行了研究，比较CPU时间与相同的模型，但在各向同性的上下文中获得。
英文摘要：
Grain growth is a well-known and complex phenomenon occurring during annealing of all polycrystalline materials. Its numerical modeling is a complex task when anisotropy sources such as grain orientation and grain boundary inclination have to be taken into account. This article presents the application of the front-tracking methodology ToRealMotion introduced in previous works, to the context of anisotropic grain boundary motion at the mesoscopic scale. The new formulation of boundary migration can take into account any source of anisotropy both at grain boundaries as well as at multiple junctions (MJs) (intersection point of three or more grain boundaries). Special attention is given to the decomposition of high-order MJs for which an algorithm is proposed based on local grain boundary energy minimisation. Numerical tests are provided using highly heterogeneous configurations, and comparisons with a recently developed Finite-Element Level-Set (FE-LS) approach are given. Finally, the computational performance of the model will be studied comparing the CPU-times obtained with the same model but in an isotropic context.
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