Modeling of fibrous tow transmission considering residual strain and friction

Abstract

This study established a mechanical model based on the mechanical properties of fibrous tows and their force of interaction with spools. The proposed model not only describes the hysteresis, nonlinear elastic, and viscoelastic stress components, but also analyzes the effect of residual strain on aramid fiber mechanical properties. Moreover, the effect of the interaction force between the fiber and spool on the transmission accuracy should be considered. Contrary to the conventional view, hysteresis is caused not only by internal sliding among molecules and molecular chains but also by friction between the fibers and spools. To assess this effect, several monotonous and cyclic tensile tests were conducted, with the results showing that the maximum relative error of the mechanical model did not exceed 5%. The proposed mechanical model can help designers determine effective carrying ranges and predict the fiber mechanical behavior, thereby laying a foundation for achieving nonlinear control of the fibrous tow transferring load.

An efficient virtual modeling regard to the axial tensile and transverse compressive behaviors of the twisted yarns

“…[3][4][5] As a vital part of fiber-reinforced composites, the mechanical behavior of the yarn will significantly disperse the mechanical properties of the composite, such as tensile, compression and bending. [6][7][8] Therefore, some methods for the evaluation of yarns performance are needed to develop fiber-reinforced composites with higher specific strength and specific modulus. Lamon et al 9 investigated the flaw strength distributions of various fiber types and constructed empirical distributions of flaw strength that allow the evaluation of Weibull plot and Maximum Likelihood Estimation methods as functions of sample size and composition.…”

Modeling of the cyclic visco-elasto-plastic one-dimensional behavior of polyamide-based woven straps

“…[12][13][14][15][16] (6) Manipulator or robot arms are designed, such that the transmission of the actuator loads to the parts of the arm is performed by aramid yarns. 17 Kevlar fibers, as well as Dyneema, Spectra and Vectran fibers, have a great stiffness-to-weight ratio, and could be very useful for mechanical structure applications by minimizing the final weight of the product.…”

“…[3][4][5][23][24][25][26] Bles, 27 Bles et al 9 and Dib et al 28 proposed one-dimensional (1D) viscoelasto-plastic constitutive laws for woven straps and synthetic fibers based on the superimposition of stress contributions of different natures. The model of Bles et al 9 was adopted and adapted with success to aramid yarns by Che et al 17 for modeling the cyclic mechanical behavior of robot arms. Chailleux and Davies, 29,30 Davies et al 31 and Huang et al 32 proposed constitutive laws for aramid and polyester yarns and ropes based on two summed strain contributions: viscoplastic and viscoelastic (Schapery's model).…”

“…9 was adopted and adapted with success to aramid yarns by Che et al. 17 for modeling the cyclic mechanical behavior of robot arms. Chailleux and Davies, 29,30 Davies et al.…”