Correction for Classical Theory of Yarn Cross-Section Shape in Woven Fabric
The cross-section of yarn in plain woven fabric has always been viewed as an invariable shape by academe. However, with visualization technology, problems in the classical model are exposed based on traditional convex model, and when solving the problems with calculus, the rule of yarn cross-section deformation is found. The results show the diversity of yarn cross-section shape in both one-layer and multi-layer woven fabric, instead of unitarity, especially for warps weaving multi-layer wefts, whose convex cross-section alternates with concave one periodically in length. The results take exception to “invariant cross-section assumption” and have theoretical value and guidance for the real shape of yarns and the simulation of fabric appearance.
Rui Wang and Huawu Liu
L. H. Yang et al., "Correction for Classical Theory of Yarn Cross-Section Shape in Woven Fabric", Advanced Materials Research, Vol. 331, pp. 152-155, 2011