Fiber Crimp Analysis by Fractal Dimension

摘要

A box-counting method for determining the fractal dimensions of crimped fibers is discussed in detail. Using nylon 6 crimped filament magnified figures, an application of the method is demonstrated where the box-counting dimension (D_B) of nylon 6 has a distribution of 1.00-1.65. Eight animal fibers, cotton, and two other synthetic crimped fibers are also characterized by D_B distributions of 1.00-1.32. Modified random Koch curves are used to simulate crimped fiber shapes and to examine the relationship between Hausdorff's dimension {D_H) and D_B.