Characterization of the transition from discrete to continuous modeling of dislocation based plasticity

该研究项目涉及基于位错塑性的离散和连续建模之间的尺度过渡的表征。主要目的是系统的界定的一个基于位错的塑性微观尺度的建模方法，一方面考虑离散位错动力学和宏观建模的塑性另一方面。 这将使信息从小尺度转移到更大的尺度的上下文中的自下而上的方法，并进一步提供了一个集成的方法的错位为基础的中尺度方法到一个多尺度的配方。为了实现这一目标，该项目的重点将是表征“离散到连续”的过渡，以及从考虑位错传输和增殖的基于位错速度的配方过渡到基于能量的配方的梯度塑性模型。

The research project deals with the characterization of the scale transition between a discrete and a continuous modeling of dislocation based plasticity. The main objective is the systematic delimitation of a mesoscale modeling approach of dislocation based plasticity towards a micro-scale consideration of discrete dislocation dynamics on the one hand and a macroscopic modeling of plasticity on the other hand. This shall enable the information transfer from small scales to larger scales in the context of a bottom-up approach and furthermore provide an integration approach of a dislocation based mesoscale method into a multiscale formulation. In order to face this objective, the focus of the project will be the characterization of the “discrete-to-continuum” transition as well as the transition from a dislocation velocity based formulation considering dislocation transport and multiplication towards a gradient plasticity model based on energy-based formulations.