论文标题
基于位错结构的晶界耦合和滑动运动的新表述
A New Formulation of Coupling and Sliding Motions of Grain Boundaries Based on Dislocation Structure
论文作者
论文摘要
参考文献中已经开发了二维低角度晶界运动的连续模型和晶界的脱位结构演变。 [48]。该模型基于晶界的组成位错的运动和反应。脱位之间的远程弹性相互作用包括在连续模型中，并保持了弗兰克（Frank）为晶界公式所描述的稳定位错结构。在本文中，我们开发了一个新的连续模型，用于晶粒边界的耦合和滑动运动，以避免漫长的弹性相互作用的耗时计算。在此模型中，远程弹性相互作用被弗兰克公式的约束所取代。通过使用投影方法进一步解决了我们新的连续模型中的约束演化问题。讨论了我们新的连续模型中耦合和滑动运动的影响，以及与曲率模型与经典运动的关系。连续模型通过与离散脱位动力学模型和早期连续模型[48]的比较来验证，其中长距离错位相互作用是明确计算的。
A continuum model of the two dimensional low angle grain boundary motion and the dislocation structure evolution on the grain boundaries has been developed in Ref. [48]. The model is based on the motion and reaction of the constituent dislocations of the grain boundaries. The long-range elastic interaction between dislocations is included in the continuum model, and it maintains a stable dislocation structure described by the Frank's formula for grain boundaries. In this paper, we develop a new continuum model for the coupling and sliding motions of grain boundaries that avoids the time-consuming calculation of the long-range elastic interaction. In this model, the long-range elastic interaction is replaced by a constraint of the Frank's formula. The constrained evolution problem in our new continuum model is further solved by using the projection method. Effects of the coupling and sliding motions in our new continuum model and relationship with the classical motion by curvature model are discussed. The continuum model is validated by comparisons with discrete dislocation dynamics model and the early continuum model [48] in which the long-range dislocation interaction is explicitly calculated.
