Fiber migration theory of ring-spun yarns

Abstract

The well-known Treloar-Hearlc (T-H) theory of fiber migration, although more realistic in defining the yarn structure than the helical model, suffers from certain internal inconsistencies such as singularities at the yarn core. This paper aims at re-examining the theory of fiber migration and establishing a new basis for the development of an improved model of ring-spun yarn structure with an emphasis on revisiting the fiber migration theory. Accordingly, the existing theories of Treloar and Hearle <i>et al</i>. have been reformulated and combined in a way that is more accurate for predicting the structural dynamics of a yarn. This gives a more acceptable description of yarn structure and, hence, leads to more accurate predictive models of load-deformation behavior of the yarn. A relationship between the process parameters and the yarn structure is also suggested, which is important for the resulting yarn properties such as tensile strength, abrasion resistance and twist torque.

Although it is realized that fiber migration and yarn mechanics are complex phenomena, this study is expected to contribute to the analysis and fundamental understanding of the phenomena.