Multiscale Analysis in Dislocation Dynamics

位错动力学中的多尺度分析摘要广泛使用的三维位错动力学模型没有适当地考虑惯性效应，而惯性效应是本研究的核心部分。由于DD是基于位错任何一段上的位形作用力的平衡而建立的，因此本文建议确定一般运动位错的动态Peach-Koehler力。这就需要通过路径无关积分和奇异渐近分析来正确定义动态Peach-Koehler力。位错运动时的核心分布函数将由在连续介质尺度上计算的位形作用力与在离散晶格上计算的位形作用力相匹配来确定，从而将两个尺度连接起来。这种位错核半径依赖于晶格中位错位置的尺度桥接已经在静态情况下由提出者完成了。然后，可以在可用的DD代码中使用用于一般移动的环路的真正动态自力。

Multiscale Analysis in Dislocation DynamicsAbstractWidely used 3D dislocation dynamics models do not properly include inertia effects, which is the central part of the proposed research. Since DD is formulated on the basis of the balance of configurational forces on any segment of the dislocation, it is proposed here to determine the dynamic Peach-Koehler force for a generally moving dislocation. This requires the proper definition of the dynamic Peach-Koehler force through path-independent integrals and singular asymptotic analysis. The core distribution function as the dislocation moves will be determined by matching configurational forces computed at the continuum scale to those at the discrete lattice, thus bridging the two scales. Such bridging of scales in which the dislocation core radius depends on the dislocation position within the lattice has already been accomplished in static case by the proposers. The truly dynamic self-force for a generally moving loop can then be used in the available DD codes.