Yun Minyoung, Argerich Martin Clara, Giormini Pierre, Chinesta Francisco, Advani Suresh
Processes and Engineering in Mechanics and Materials (PIMM) Laboratory, Arts et Métiers Institute of Technology, CNRS, CNAM, 151 Boulevard de l'Hôpital, 75013 Paris, France.
ESI Group chair, Processes and Engineering in Mechanics and Materials (PIMM) Laboratory, Arts et Métiers Institute of Technology, 151 Boulevard de l'Hôpital, 75013 Paris, France.
Entropy (Basel). 2019 Dec 24;22(1):30. doi: 10.3390/e22010030.
Fiber-fiber interaction plays an important role in the evolution of fiber orientation in semi-concentrated suspensions. Flow induced orientation in short-fiber reinforced composites determines the anisotropic properties of manufactured parts and consequently their performances. In the case of dilute suspensions, the orientation evolution can be accurately described by using the Jeffery model; however, as soon as the fiber concentration increases, fiber-fiber interactions cannot be ignored anymore and the final orientation state strongly depends on the modeling of those interactions. First modeling frameworks described these interactions from a diffusion mechanism; however, it was necessary to consider richer descriptions (anisotropic diffusion, etc.) to address experimental observations. Even if different proposals were considered, none of them seem general and accurate enough. In this paper we do not address a new proposal of a fiber interaction model, but a data-driven methodology able to enrich existing models from data, that in our case comes from a direct numerical simulation of well resolved microscopic physics.
纤维-纤维相互作用在半浓悬浮液中纤维取向的演变中起着重要作用。短纤维增强复合材料中的流动诱导取向决定了制成部件的各向异性性能，进而决定其性能。在稀悬浮液的情况下，使用杰弗里模型可以准确描述取向演变；然而，一旦纤维浓度增加，纤维-纤维相互作用就不能再被忽略，最终的取向状态在很大程度上取决于这些相互作用的建模。最初的建模框架从扩散机制描述了这些相互作用；然而，有必要考虑更丰富的描述（各向异性扩散等）来解释实验观察结果。即使考虑了不同的提议，但似乎没有一个足够通用和准确。在本文中，我们没有提出纤维相互作用模型的新提议，而是提出了一种数据驱动的方法，能够根据数据丰富现有模型，在我们的案例中，这些数据来自对微观物理的精确直接数值模拟。
