In this paper we present a chain of mathematical models that enables the numerical simulation of the airlay process and the investigation of the resulting nonwoven material by means of virtual tensile strength tests. The models range from a highly turbulent dilute fiber suspension flow to stochastic surrogates for fiber lay-down and web formation and further to Cosserat networks with effective material laws. Crucial is the consistent mathematical mapping between the parameters of the process and the material. We illustrate the applicability of the model chain for an industrial scenario, regarding data from computer tomography and experiments. By this proof of concept we show the feasibility of future simulation-based process design and material optimization which are long-term objectives in the technical textile industry.

中文翻译：

---

空气动力学幅材成型：工艺模拟和材料特性

在本文中，我们提出了一系列数学模型，可以对气流成网过程进行数值模拟，并通过虚拟拉伸强度测试对所得的非织造材料进行研究。这些模型的范围从高度湍流的稀纤维悬浮液流到用于纤维铺放和纤维网形成的随机替代物，再到具有有效材料定律的Cosserat网络。至关重要的是过程参数和材料之间的一致数学映射。关于计算机断层扫描和实验数据，我们说明了模型链在工业场景中的适用性。通过这一概念验证，我们证明了未来基于仿真的工艺设计和材料优化的可行性，而这是技术纺织品行业的长期目标。