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arXiv 2102.00386cond-mat.mtrl-sci
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位错结构晶界运动的三维连续模拟方法

A Three-Dimensional Continuum Simulation Method for Grain Boundary Motion Incorporating Dislocation Structure

Xiaoxue Qin, Luchan Zhang, Yang Xiang

摘要:

我们开发了一个连续体模型的动态晶界在三维空间中,结合了运动和反应的成分位错。连续介质模型是基于一个简单的表示的弯曲位错的晶界上的密度。不适,由于非凸的总能量是固定的数值处理的基础上的投影方法,保持组成位错的连接。一个有效的模拟方法的开发,其中的关键,但计算昂贵的远程相互作用的位错被替换为另一个投影配方,保持约束的平衡的位错结构所描述的弗兰克公式。这种连续介质模型能够描述由于耦合和滑动效应引起的晶界运动和晶粒旋转,而经典的平均曲率模型不适用于此。与原子模拟结果的比较表明,我们的连续介质模型能够很好地预测小角度晶界及其位错结构的演变。

英文摘要:

We develop a continuum model for the dynamics of grain boundaries in three dimensions that incorporates the motion and reaction of the constituent dislocations. The continuum model is based on a simple representation of densities of curved dislocations on the grain boundary. Illposedness due to nonconvexity of the total energy is fixed by a numerical treatment based on a projection method that maintains the connectivity of the constituent dislocations. An efficient simulation method is developed, in which the critical but computationally expensive long-range interaction of dislocations is replaced by another projection formulation that maintains the constraint of equilibrium of the dislocation structure described by the Frank's formula. This continuum model is able to describe the grain boundary motion and grain rotation due to both coupling and sliding effects, to which the classical motion by mean curvature model does not apply. Comparisons with atomistic simulation results show that our continuum model is able to give excellent predictions of evolutions of low angle grain boundaries and their dislocation structures.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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