Modeling the tensile strains of non-uniform fibers

Abstract

Abstract:The maximum strain experienced by the thinnest segment of a non-uniform fiber governs fiber breakage, yet this maximum strain can not be obtained from a normal single fiber test. Only the average strain of the whole fiber specimen can be obtained from a normal single fiber tensile test. This study has examined the relationship between the average strain, the maximum strain and the degree of fiber non-uniformity, expressed in coefficient of variation (CV) of fiber diameters along fiber length. The tensile strain of irregular fibers has been simulated using the finite element method (FEM). Using this method, average and maximum tensile strains of non-uniform fibers were calculated. The results indicate that for irregular fibers such as wool, there is an exponential relationship (i.e. ) and the alongfiber diameter variation (CV). The strain ratio decreases with the increase of the along-fiber diameter variation.

Dynamic responses of irregular fibers under axial tension

“…8 used a numerical approach to simulate a wide range of fiber nonuniformities and examined their effect on fiber tensile and flexural behavior. Relationships have been established between the within‐fiber diameter variation and the average and maximum strains in a fiber under extension 9, 10. These reports have unequivocally revealed the significant effect of geometrical nonuniformities on the mechanical behavior of nonuniform fibers.…”

“…Relationships have been established between the within-fiber diameter variation and the average and maximum strains in a fiber under extension. 9,10 These reports have unequivocally revealed the significant effect of geometrical nonuniformities on the mechanical behavior of nonuniform fibers. However, their works have focused on the quasi-static mechanical behavior of the nonuniform fibers.…”

Tension dynamics of the fibers in a triangular plane flow of bundle

“…Since all fibers were assumed to have the same density by the assumptions, and linear density of fiber is proportional to the cross-sectional area of the fiber (4) in addition, the tensile strain of a fiber H is related with the cross-sectional area as (5) where A 0 is the cross-sectional area of the fibers under no tension, substituting equation (5) For the fibers that have the variation of the along-fiber diameter, the individual fiber strain at each point changes [13] along the fiber axis, which can lead to the tension variation of the fibers in the spinning triangle. Provided that the fiber dimension and the properties are constant and uniform, and that the strain of the fiber that was fed at position is on…”