Modeling Fabric Sample Elongation and Breaking Dynamics, Taking Account of Random Variations and Changes in Fabric Structure and Interaction of Yarns

Abstract

A computer simulation model of the dynamics of elongation of fabric sample and development of breaking of warp in it due to increase in initial random variations in the structure and properties of the warp and weft yarn system is proposed. The model clearly shows that the reasons for the sample breakup are inevitable initial differences (variations) in the properties of the yarns and their arrangement in the fabric, and widening of these differences in the sample elongation process. Interaction between the yarns disperses the arising stress and strain concentrations across the adjacent sections of the fabric and enhances its resistance to deformation, and determines the distinctive nature, mechanism, and dynamics of failure (breaking) of the fabric.