Multiscale Analysis in Dislocation Dynamics

位错动力学的多尺度分析Abstract广泛使用的三维位错动力学模型没有适当地包括惯性效应，这是拟议的研究的中心部分。由于DD是制定的基础上的平衡的任何部分的位错上的构形力，它建议在这里确定动态Peach-Koehler力一般移动的位错。 这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。核心分布函数的位错移动将确定匹配的配置力计算在连续尺度上的离散晶格，从而桥接两个尺度。这种位错核半径取决于位错在晶格中位置的尺度桥接已经被提出者在静态情况下完成。然后，在可用的DD代码中可以使用用于一般移动回路的真正动态的自作用力。

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.