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.
Get full access to this article
View all access options for this article.
References
1.
CarnabyG. A.GrosbergP., The Tensile Behaviour of Staple Fibre Yarns at Small Extensions, J. Textile Inst.67, 299–308 (1976).
2.
ChengC. C.WhiteJ. L.DuckettK. E., A Continuum Mechanics Approach to Twisted Yarns, Textile Res. J.44, 798–803 (1974).
3.
GerstleW. H., et al., FEM Modelling of Fictitious Crack Propagation in Concrete, J. Eng. Mech.2, 118 (1992).
4.
HearleJ. W. S., Mechanics of dense fibre assemblies, in “Mechanics of Flexible Fibre Assemblies,” HearleJ. W. S. et al., Eds., Sythoff #38;#38; Noordhoff, Alphen a/d Rijn, Netherlands, 1980.
5.
ThwaitesJ. J., A Continuum Model for Yarn Mechanics, in Mechanics of Flexible Fibre Assemblies, HearleJ. W. S. et al., Eds., Sythoff #38;#38; Noordhoff, Alphen a/d Rijn, Netherlands, 1980.
6.
UnderwoodP., Dynamic Relaxation, ch. 5 in “Computational Methods for Transient Analysis,” BelytschkoT.HughesT. R., Eds., North-Holland, 1983.
7.
Van LangenhoveL., Simulatie van de mechanische eigenschappen van een garen uitgaande van de eigenschappen en de schikking van de vezels, Doctoral dissertation, Faculty of Applied Sciences, Department of Textiles, University of Ghent, March 1994.
8.
van LuijckC. S.CarrA. S.CarnabyG. A., Finite-Element Analysis of Yarns, (a) Part I: Yarn Model and Energy Formulation, J. Textile Inst.85, 342–353 (1984), 85, 354–362 (1984).