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

该研究项目研究基于位错塑性的离散模型和连续模型之间的尺度转换的特征。其主要目的是系统地界定基于位错的塑性的细观建模方法，一方面从微观上考虑离散位错动力学，另一方面从宏观上考虑塑性。这将使信息能够在自下而上的方法中从小尺度转移到大尺度，并进一步提供一种将基于位错的中尺度方法纳入多尺度公式的方法。为了实现这一目标，该项目的重点将是描述“离散到连续”的转变，以及从基于位错速度的公式到基于能量公式的梯度塑性模型的转变。

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.