纺织品建模与仿真研究进展

J. Orlik, Maxime Krier, David Neusius, Kathrin Pietsch, O. Sivak, K. Steiner
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引用次数: 3

摘要

在许多纺织品和纤维结构中,材料的性能是由纤维的结构排列、纤维的厚度和横截面以及纤维的材料性能决定的。纺织品是由细长的纱线相互摩擦接触制成的薄板,这些纱线通过由环形图定义的规则连接在一起。纱线本身可拉伸或不可拉伸。这些结构参数决定了织物的宏观性能。它的折叠是由所有这些参数和边界固定的种类或加载方向决定的。下一个影响特性是载荷的值。同样的纺织品可以表现得像一个贝壳一样,只用于弯曲,或者表现得像一个膜,在不同大小的载荷力下具有很大的张力变形。在我们的研究中,找到了这两种行为的载荷和摩擦参数的界限。此外,提出了基于结构信息的有效织物性能计算算法。我们进一步研究的重点是由纱线的预应变和纺织品运动的一些平面内限制引起的折叠性质,或由局部针织或编织图案和纱线的横截面引起的折叠。进一步的研究涉及间隔织物的不同应用。研究了影响织物宏观性能的结构参数,并提出了优化方法。概述了我们发表的数学和数值论文,并给出了发展算法,并展示了基于这些理论结果的数值工具。
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Recent Efforts in Modeling and Simulation of Textiles
In many textiles and fiber structures, the behavior of the material is determined by the structural arrangements of the fibers, their thickness and cross-section, as well as their material properties. Textiles are thin plates made of thin long yarns in frictional contact with each other that are connected via a rule defined by a looping diagram. The yarns themselves are stretchable or non-stretchable. All these structural parameters of a textile define its macroscopic behavior. Its folding is determined by all these parameters and the kind of the boundary fixation or loading direction. The next influencing characteristic is the value of the loading. The same textile can behave similar to a shell and work just for bending, or behave as a membrane with large tension deformations under different magnitudes of the loading forces. In our research, bounds on the loading and frictional parameters for both types of behavior are found. Additionally, algorithms for the computation of effective textile properties based on the structural information are proposed. Further focus of our research is the nature of folding, induced by pre-strain in yarns and some in-plane restriction of the textile movements, or by the local knitting or weaving pattern and the yarn’s cross-sections. Further investigations concern different applications with spacer fabrics. Structural parameters influencing the macroscopic fabric behavior are investigated and a way for optimization is proposed. An overview of our published mathematical and numerical papers with developed algorithms is given and our numerical tools based on these theoretical results are demonstrated.
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