Simulating the Mechanical Properties of a Yarn Based on the Properties and Arrangement of its Fibers Part I: The Finite Element Model

Abstract

A theoretical model is established to predict stress-strain and torque-tensile strain curves of a yarn. The yarn is described by its properties and the arrangement of its fibers, which have a finite length. The yarn is transformed into finite elements. Equilibrium is expressed by virtual work, and is calculated iteratively using the dynamic relaxation technique. The principles of the model, its potential, limitations, and possible improvements are discussed.