Fractal calculus for analysis of wool fiber: Mathematical insight of its biomechanism

Wool fiber has a complex hierarchic inner structure. However, like most of the natural things, wool fiber does not have an exactly strict self-similar fractal feature. Here, we calculate the fractal dimension of each hierarchic level of wool fiber using the two-scale dimension method. The obtained f...

Full description

Saved in:
Bibliographic Details
Published inJournal of engineered fibers and fabrics Vol. 14
Main Authors Fan, Jie, Yang, Xue, Liu, Yong
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.08.2019
Subjects
fractal
two scale dimension
Wool
hierarchical structure
Online AccessGet full text

Cover

More Information
Summary:Wool fiber has a complex hierarchic inner structure. However, like most of the natural things, wool fiber does not have an exactly strict self-similar fractal feature. Here, we calculate the fractal dimension of each hierarchic level of wool fiber using the two-scale dimension method. The obtained fractal dimension of wool fiber in different hierarchic level ranges between 1.37 and 1.47, which is close to that obtained according to the traditional fractal geometry. Thermal property of wool fiber is investigated based on the fractal feature of wool fiber. The result shows that the temperature gradient and the rate of the temperature gradient along the fiber is very slow, suggesting that wool fiber has a good thermal retention property.
ISSN:1558-9250
1558-9250
DOI:10.1177/1558925019872200