Simulation on yarn strength based on fiber random arrangement in the yarn

Many models have been established to describe yarn strength, but the existed strength expressions are complicated and can only describe yarn strength qualitatively. In this study, a method of yarn strength simulation is proposed to observe the effect of fiber length on yarn strength. A yarn segment with certain length of fiber is firstly simulated according to fiber random arrangement in the yarn, and yarn strength can be calculated by identifying fiber slipping or breaking in the yarn breaking section. It can be seen from the calculated values that yarn strength grows gradually with the increase of fiber length, and decreases with the increase of critical slipping length. In addition, the changing tendencies of simulated yarn strengths with different fiber lengths are coincident with the tested values. Therefore, this method is reasonable and could quantitatively reflect the influence of fiber length on yarn strength.