Discrete and phase field models of dislocations and their macroscopic limits

塑性行为最终与个体位错的运动（及其抑制）有关。虽然在个体位错运动和不同位错局部相互作用的计算建模方面已经取得了相当大的进展，但给定样品中的大量位错需要多尺度方法来理解位错的介观和宏观影响。该项目的目的首先是了解从原子理论到介观理论的过渡，其次是分析介观理论中位错模式的影响，并将结果与实验观察结果进行比较（后者在项目P7中进行）。

Plastic behaviour is ultimately related to the motion (and its inhibition) of individual dislocations. While there has been considerable progress in the computational modeling of the motion of individual dislocations and the local interaction of different dislocations, the large number of dislocations in a given specimens requires a multiscale approach to understand the mesoscopic and macroscopic effects of dislocations. The objective of this project is first to understand the passage from atomistic theories to mesoscopic theories and second to analyze effects of dislocation patterning in mesoscopic theories and compare the results with experimental observations (the latter being carried out in project P7).