Research on permeability of satin fabrics based on fractal theory

Abstract

A new fractal model for predicting the permeability of satin fabrics is proposed mainly based on the fractal theory. The repetitive unit was selected first according to the structural characteristic of a fabric. Then, the tortuosity fractal dimension was figured out after the actual length of a pore channel calculated by the minimum potential energy method. The maximum equivalent diameter, on which the structure fractal dimension can be computed depends, was obtained later by the microscopic measurement technique. Subsequently, the permeability was expressed as the explicit equation of various structural parameters, such as the representative length, the tortuosity fractal dimension, and the structure fractal dimension, which makes the physical meanings of each parameter intuitive and clear. Finally, the permeability of a five-harness fabric and an eight-harness fabric was predicted according to the new fractal models. In order to validate the new model, contrast experiments were designed. The results show that the predicted values agree well with the experimental values, which illustrate that the new method is feasible and effective.

A dual-branch balance saliency model based on discriminative feature for fabric defect detection

“…Zhang et al (2013b) combined wavelet texture decomposition, multiresolution Markov random field (MRF) modeling and Bayesian parameter estimation to intelligently segment jacquard warp-knitted fabric images. Based on the fractal theory, Wang et al (2015) proposed a fractal model to predict the permeability of satin fabrics. Because of the model dependence, the performance of these methods highly relies on the appropriate selection of model parameters, and the time-consuming limits their applications in practice.…”

“…The traditional fabric defect detection methods can be divided into statistical methods (Mak et al, 2009;Raheja et al, 2013;Celik et al, 2014), spectral methods (Chan and Pang, 2000;Mak and Peng, 2008;Kang et al, 2013) and model-based methods (Bu et al, 2009;Zhang et al, 2013b;Wang et al, 2015). The statistical methods typically extract statistical features of fabric images via analyzing the spatial distribution of pixel gray values, and localize the defects by calculating the difference of these statistical features.…”

An experimental and analytical study based on fractal theory of satin fabrics in unsaturated permeability

“…In a unit cell, L t () equals to L w . 42 The representative length and the cross-sectional area are easy to calculate (L 0 ¼ nd j , A ¼ nd w h); however, the maximum equivalent diameter of capillaries is difficult to compute. In the previous work, that problem was easily addressed by help of using microscopic measurement technique (as shown in Table 1).…”

Thermal and Wet Comfort of Fabrics Based on Fractal Dimension of Silicone Coating

“…Recently, fractal theory was applied to analyze the properties of man-made materials. Chen et al [4] built a new fractal model for predicting the water permeability of satin fabrics. The predicted values agreed well with the experimental ones.…”