Compressional Energy of the Random Fiber Assembly
Compressional Energy of the Random Fiber Assembly
复制标题
随机纤维组件的压缩能
DOI：
10.1177/004051759206200502
复制
发表时间：
1992
影响因子：
2.3
通讯作者：
S. Tandon
中科院分区：
文献类型：
--
作者：
D. Lee;G. Carnaby;S. Tandon
在本文中，我们描述了用于评估随机纤维组件压缩能理论的方法，该方法在第一部分中以数学方式发展。我们还介绍了更新一般纤维组件中纤维取向密度函数的方法的数学推导。为了评估能量，使用伽马分布来表征纤维段长度的分布。此外，纤维段的曲率由与卷曲和卷曲纤维结构的有效直径相关的方程来表征。我们使用最小化技术来计算压缩能。计算了新西兰羊毛的纤维机械性能和组件结构参数对最小压缩能的影响。除纤维卷曲外，各种纤维和结构参数的计算结果与实验结果之间具有良好的一致性。该模型表明，如果对于给定的初始几何形状仅增加纤维卷曲，则切向压缩模量实际上会降低。然而，这一点无法测试，因为卷曲纤维无法在不产生非零压缩应变能的情况下达到相同的初始几何形状。我们计划进一步调查这一点。
In this paper, we describe the method used to evaluate the theory of the compressional energy of the random fiber assembly, which was developed mathematically in Part I. We also introduce a mathematical derivation of the method for updating the orientation density function of fibers in a general fiber assembly. In order to evaluate the energy, the distribution of the fiber segment lengths is characterized using the gamma distribution. In addition, the curvature of the fiber segments is characterized by an equation that relates the crimp and the effective diameter of the crimped fiber configuration. We use minimization technique to compute the compressional energy. Effects of the mechanical properties of fibers and the structural parameters of the assembly on the minimum compressional energy are computed for New Zealand wools. Except for fiber crimp, there is good agreement between the computed results and experimental results for the various fiber and structural parameters. The model shows that if only fiber crimp is increased for a given initial geometry, the tangent compression modulus actually decreases. However, this point cannot be tested because crimpier fibers cannot be brought to the same initial geometry without generating nonzero compressional strain energy. We plan further investigation of this point.