# An Experiment and Simulation Study on the Tensile Behavior of Cotton Ring-Spun Yarn with Twisted Staple Fibers

## TL;DR

This study explores how the structure of cotton yarn affects its tensile strength using experiments, simulations, and calculations.

## Contribution

A modified 'rule-of-mixtures' equation incorporating friction is proposed to accurately calculate yarn tensile modulus.

## Key findings

- Yarn tensile modulus and strength are significantly influenced by yarn structure but not by length or tensile speed.
- Numerical simulations with a friction coefficient of 0.5 closely match experimental results.
- Twist angle and friction coefficient are key factors affecting tensile modulus.

## Abstract

This paper investigates the tensile behavior of cotton ring-spun yarn through experimental testing, numerical simulation, and theoretical calculation. Firstly, scanning electron microscope testing of the microscopic geometric morphologies of yarns was performed for the development of basic finite element (FE) models. Then, the influences of tensile speed and yarn length on the tensile properties of yarn were studied using tensile experiments. Numerical simulations were further performed to investigate the effects of yarn diameter, twist angle, and friction between fibers on the tensile modulus of yarn. Finally, a modified ‘rule-of-mixtures’ equation was proposed to effectively calculate the tensile modulus of yarn through incorporating the friction correction factor. The experimental results show that the tensile modulus and strength of tested yarn are significantly affected by the yarn structure and are not sensitive to the yarn length and tensile speed. Furthermore, the tensile moduli of yarns obtained from the numerical simulations show a good fitting accuracy with those obtained from experimental tests when the friction coefficient is set to 0.5 in the FE models. The simulation results show that the twist angle and friction coefficient are two key factors affecting the tensile modulus of yarn. The modified ‘rule-of-mixtures’ equation presents better accuracy for the calculation of the tensile modulus of yarn compared with the traditional ‘rule-of-mixtures’ equation, which can be used to replace the FE modeling and simulation and reduce the computational cost. This work will provide a deeper understanding of the mechanical properties of cotton ring-spun yarns and enhance their application in the textile industry.