Modeling of Transverse Compression Behavior of Yarns

On the basis of an ellipse cross-section yarn model, the relationships among the yarn parameters such as cross-sectional area Sy, yarn cross-sectional perimeter Sp, void ratio Vf, yarn flattening ratio f, and yarn density ρy during fabric deformation process were evaluated. The theoretical model indicated that these parameters could be simplified to two factors: Sy and Sp. To validate the theoretical model, the Finite Element Modeling (FEM) and experimental tests were conducted to assess the deformation process of a cotton plain fabric. The results showed that the cross-sectional area varied almost 2 or 3 times more than the cross-sectional perimeter. The rate of change of the cross-sectional perimeter was about 8~17 %, while which was 17~42 % for cross-sectional area. The correlation analysis among the ellipse major axis, which has a significant
influence on fabric appearance, the cross-sectional perimeter, and the cross-sectional area was also conducted. The weak correlation between ellipse major axis and a cross-sectional perimeter was observed, while ellipse major axis and cross-sectional area was uncorrelated. These findings can help to overcome the drawbacks of the yarn evenness tester when predicting the fabric appearance
quality.