Modeling Stretching-Relaxation Properties of Yarns

In this paper, the stretching-stress relaxation properties of polyester/viscose and regenerated bamboo fiber/cotton blended yarns are studied. Based on the Boltzmann superposition principle, the stretching-stress relaxation process of the yarns is analysed using the standard linear solid model. Theoretical equations of the stretching-stress relaxation process are deduced. Stretching-stress relaxation experiments were made under two different conditions, that is, the yarns were stretched to a definite strain at different rates of straining and to different strains at the same strain-rate. Regressive equations of stress relaxation and correlation coefficients of the yarns are calculated. Theoretical expectations display very good agreement with the experimental observations, indicating that the standard linear solid model can be used to describe the stress relaxation properties of yarns under lower strain conditions. It can also be found from the experimental and theoretical results that the higher the strain-rate and larger the maximum strain, the lower the relaxation time.