Characterization, Modelling, and Homogenization of Dislocation Networks Using Interpretable Data Analysis

使用可解释的数据分析对位错网络进行表征、建模和均匀化

• 批准号: 452183896
• 负责人: Professor Dr.-Ing. Klemens Böhm
• 金额: --
• 依托单位: Lehrstuhl für Systeme der Informationsverwaltung
• 依托单位国家: 德国
• 项目类别: Research Grants
• 资助国家: 德国
• 项目状态: 未结题
• 来源: https://gepris.dfg.de/gepris/projekt/452183896?language=en
• 关键词: Characterization; Modelling; Homogenization; Dislocation; Networks

The objective of this project is the identification and formulation of physical correlations in the temporal evolution of dislocation networks in crystalline materials with new, specialized data-analysis methods. The investigations are based on data from discrete dislocation dynamics (DDD) simulations. Up to now, it is largely unknown which measures characterize dislocation networks, and how a physical description might look like. DDD simulations come with two advantages. (i) They facilitate observing network structures in three dimensions and allow for an understanding of the microstructural changes in the material. DDD simulations produce data that contain phenomena of collective dislocation motion based on fundamental physical relations. One can observe these phenomena in real materials as well. However, the causal connections of these phenomena and the impact of environmental parameters and of the material structure currently are unclear. This makes formulating hypotheses regarding the further development and the use of simulations for macroscopic investigations and real systems difficult. (ii) A characterization of DDD data facilitates scalable analyses of dislocation systems in terms of the spatial extent.Previous approaches for the homogenization of dislocation networks are restricted to simplified systems or are too inaccurate to reproduce the mechanisms observed in DDD simulations. So they cannot replace costly DDD simulations. One of our research objectives is to learn the evolution of homogenized states from the DDD data and to derive a homogenized formulation. We assume that the evolution of homogenized dislocation networks can be described with significantly higher accuracy and physical rigor by relying on profound knowledge of the physical correlations with the help of models learned from data.

这个项目的目标是用新的、专门的数据分析方法来确定和表述晶体材料中位错网络的时间演变中的物理关联。这些研究基于离散位错动力学(DDD)模拟的数据。到目前为止，很大程度上还不知道用什么方法来表征位错网络，以及物理描述可能是什么样子的。DDD模拟有两个优点。(I)它们有助于观察三维网络结构，并使人们能够了解材料的微观结构变化。DDD模拟产生的数据包含基于基本物理关系的集体位错运动现象。人们也可以在真实材料中观察到这些现象。然而，这些现象的因果联系以及环境参数和材料结构的影响目前尚不清楚。这使得提出关于宏观研究和真实系统的模拟的进一步发展和使用的假设变得困难。(Ii)DDD数据的表征有助于在空间范围上对位错系统进行可扩展的分析。以前的位错网络均匀化方法局限于简化的系统，或者太不准确，无法再现在DDD模拟中观察到的机制。因此，它们不能取代昂贵的DDD模拟。我们的研究目标之一是从DDD数据中了解均质状态的演变，并推导出均质公式。我们假设，均匀位错网络的演化可以依靠对物理关联的深入了解，并借助从数据中学习的模型，以显著更高的精度和物理严谨性来描述。