各向异性晶界迁移的一种新的水平集-有限元列式
A new level set-finite element formulation for anisotropic grain boundary migration
摘要：
多晶体中的晶粒生长是金属部件热处理过程中发生的主要机制之一。这项工作处理的各向异性晶粒生长问题的一个方面。应用热力学和力学的第一性原理，给出了能量密度依赖于倾角的晶界迁移速度场的表达式。这一结果是用来产生的第一个，据作者所知，分析解决方案（形式和动力学）的各向异性边界配置。这个新的基准进行模拟，以探索所提出的水平集有限元数值模型在各向异性设置的收敛特性。收敛的方法被确定，另一种配置，使用更一般的晶界能量密度，研究，以显示新的配方的附加值。
英文摘要：
Grain growth in polycrystals is one of the principal mechanisms that take place during heat treatment of metallic components. This work treats an aspect of the anisotropic grain growth problem. By applying the first principles of thermodynamics and mechanics, an expression for the velocity field of a migrating grain boundary with an inclination dependent energy density is expressed. This result is used to generate the first, to the authors' knowledge, analytical solution (for both the form and kinetics) to an anisotropic boundary configuration. This new benchmark is simulated in order to explore the convergence properties of the proposed level set finite element numerical model in an anisotropic setting. Convergence of the method being determined, another configuration, using a more general grain boundary energy density, is investigated in order to show the added value of the new formulation.
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