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Motion of Grain Boundaries with Dynamic Lattice Misorientations and with Triple Junctions Drag
SIAM Journal on Mathematical Analysis ( IF 2 ) Pub Date : 2021-05-25 , DOI: 10.1137/19m1265855 Yekaterina Epshteyn , Chun Liu , Masashi Mizuno
SIAM Journal on Mathematical Analysis ( IF 2 ) Pub Date : 2021-05-25 , DOI: 10.1137/19m1265855 Yekaterina Epshteyn , Chun Liu , Masashi Mizuno
SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3072-3097, January 2021.
Most technologically useful materials are polycrystalline microstructures composed of myriad small monocrystalline grains separated by grain boundaries. The energetics and connectivities of grain boundaries play a crucial role in defining the main characteristics of materials across a wide range of scales. In this work, we propose a model for the evolution of the grain boundary network with dynamic boundary conditions at the triple junctions, with triple junctions drag, and with dynamic lattice misorientations. Using the energetic variational approach, we derive system of geometric differential equations to describe motion of such grain boundaries. Next, we relax the curvature effect of the grain boundaries to isolate the effect of the dynamics of lattice misorientations and triple junctions drag, and we establish local well-posedness result for the considered model.
中文翻译：
具有动态晶格错位和三重结拖动的晶界运动
SIAM数学分析杂志，第53卷，第3期，第3072-3097页，2021年1月。
技术上最有用的材料是由无数小单晶晶粒（由晶界分隔）组成的多晶微结构。晶界的能级和连通性在定义各种尺度的材料的主要特性方面起着至关重要的作用。在这项工作中，我们提出了一个晶界网络的演化模型，该晶界网络具有在三重结处的动态边界条件，三重结拖动以及动态晶格取向错误。使用能量变分方法，我们得出了描述这些晶界运动的几何微分方程系统。接下来，我们放宽晶粒边界的曲率效应，以隔离晶格取向错误和三重结阻力的动力学效应，
更新日期：2021-05-26
Most technologically useful materials are polycrystalline microstructures composed of myriad small monocrystalline grains separated by grain boundaries. The energetics and connectivities of grain boundaries play a crucial role in defining the main characteristics of materials across a wide range of scales. In this work, we propose a model for the evolution of the grain boundary network with dynamic boundary conditions at the triple junctions, with triple junctions drag, and with dynamic lattice misorientations. Using the energetic variational approach, we derive system of geometric differential equations to describe motion of such grain boundaries. Next, we relax the curvature effect of the grain boundaries to isolate the effect of the dynamics of lattice misorientations and triple junctions drag, and we establish local well-posedness result for the considered model.
中文翻译：
具有动态晶格错位和三重结拖动的晶界运动
SIAM数学分析杂志，第53卷，第3期，第3072-3097页，2021年1月。
技术上最有用的材料是由无数小单晶晶粒（由晶界分隔）组成的多晶微结构。晶界的能级和连通性在定义各种尺度的材料的主要特性方面起着至关重要的作用。在这项工作中，我们提出了一个晶界网络的演化模型，该晶界网络具有在三重结处的动态边界条件，三重结拖动以及动态晶格取向错误。使用能量变分方法，我们得出了描述这些晶界运动的几何微分方程系统。接下来，我们放宽晶粒边界的曲率效应，以隔离晶格取向错误和三重结阻力的动力学效应，
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