Rheological Modeling of Yarn Elongation

Abstract

Based on the experimental data obtained for yarn elongation in standard test conditions, by combination of known elementary rheological models and established rheological models of yarn elongation, differential equations for the tested yarns were derived and solved. Thereby, the dependence between unit force (stress) and relative elongation was obtained. The models were established for three types of yarn: wool yarn with a count of 21 tex of an average twist level of 1.646 m-1 with a variation coefficient of 6.78 %, cotton yarn with a count of 10 tex of an average twist level of 1.020 m-1 with a variation coefficient of 16.7 % and wool/PES blend yarn 76/24 % with a count of 12.5 tex and an average twist level of 1.080 min-1.