Fiber Crimp Analysis by Fractal Dimension
Source abstract
Abstract
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 .
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Research context
OpenAlex topics: Advanced Mathematical Theories and Applications · Theoretical and Computational Physics · Mathematical Dynamics and Fractals
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Heian Jogakuin Junior College, Nampeidai, Takatsuki 569, Japan
F & D Laboratory, Takaraztrka, 665, Japan
Shiga University, Hiratsu, Otsu, 520, Japan
Laboratory of Interfacial Technique, Kita-ku, Kyoto, 603, Japan
References (10)
Show source-provided references
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