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首页> 外文期刊>The Journal of the Textile Institute. 1 >Inter-fiber Distances in Paper and Nonwovens
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Inter-fiber Distances in Paper and Nonwovens

机译：纸和无纺布中的纤维间距离

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摘要

The statistical geometry of paper was studied by Kallmes, Corte, and others in a classical series of papers in the 1960s. The model they used consisted of infinitely long fibers in stacked layers, each layer conforming to a 'Poisson process.' Their model can thus be applied directly to a continuous filament (or spunbonded) nonwoven but must be replaced by a more general treatment for staple (finite fiber length) nonwovens and paper. This paper develops such a staple model and shows that the resulting fiber to fiber distances now follow a 'general gamma' distribution rather than the 'negative exponential' given by Kallmes and Corte for continuous filament structures. It is also shown that the 'general gamma' distribution can statistically describe 'non-random' as well as 'random' structures. Such 'non-random' fabrics can be flocculated (worse than random) or dispersed (better than random)! The structural differences between staple fiber and continuous filament products are roughly traced back to their formation processes. This improved model of the structure of paper and staple nonwovens should lead to a better connection between structure and all of the physical properties of these materials, which depend on inter-fiber distances.
机译：Kallmes，Corte等人在1960年代的一系列经典论文中研究了纸张的统计几何形状。他们使用的模型由堆积层中无限长的纤维组成，每一层都符合“泊松过程”。因此，他们的模型可以直接应用于连续的长丝（或纺粘）非织造布，但必须用对短纤维（有限纤维长度）非织造布和纸的更常规处理代替。本文开发了这种短纤维模型，并显示出最终的纤维到纤维距离现在遵循“一般伽马”分布，而不是连续纤维长丝结构的Kallmes和Corte给出的“负指数”。还表明，“一般伽马”分布可以统计地描述“非随机”结构和“随机”结构。这样的“非随机”织物可以絮凝（比随机差）或分散（比随机好）！短纤维和连续长丝产品之间的结构差异大致可追溯到它们的形成过程。纸和短纤维非织造布结构的这种改进模型应导致结构与这些材料的所有物理特性之间的更好联系，这取决于纤维间的距离。

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