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Analytical model of nonlinear twist dependency for Kevlar yarn based on local filament strain

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Abstract

Kevlar KM2 600 denier yarn is often twisted to improve yarn load at failure. It is noted in ASTM-D-7269 that twisting KM2 past five twists per inch can cause a lower load at failure. Understanding the physics that govern the load decrease at higher twist ratios can lead to improved yarn designs, possibly stronger than the peak values currently seen at three turns per inch. Increasing yarn strength would enable enhanced usage of Kevlar yarn, improving chord and fabric structures. This paper describes the testing and finite element analysis methods used to probe yarn tenacity as a function of twist per inch. The performed tests indicate that strength decreases as the yarn is twisted past three twists per inch and are in agreement with previously conducted trials. The finite element model results were compared to test data performed in this study and ones reported in literature. Employing the validated simulation data, yarn damage and failure pictorials were produced. The frames showing the yarn at varying displacements illustrate the yarn failure propagation at varying twist-per-turn values. It is suggested that yarn softening as a function of twist per turn is attributed to higher strains of the outer filaments, at large amounts of twist, than of the core filaments. Previous work has shown a dependency of local filament strength to its yarn radius. The focus of this paper is to derive a comprehensive filament model, using finite element analysis, that incorporates the yarn strain gradient and is experimentally verified.

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References

  1. Kong, H., Teng, C., Liu, X., Zhou, J., Zhong, H., Zhang, Y., Han, K., Yu, M.: Simultaneously improving the tensile strength and modulus of aramid fiber by enhancing amorphous phase in supercritical carbon dioxide. R. Soc. Chem. Adv. 4, 20599–20604 (2014)

    Google Scholar 

  2. Dorigato, A., Fambri, L.: Effect of aramid regnerated fibers on thermo-mechanical behavior of polyamide 12 composites. Reinf. Plast. Compos. 32, 1243–1256 (2013)

    Article  Google Scholar 

  3. Cheng, K.B., Cheng, T.W., Lee, K.C., Ueng, T.H., Hsing, W.H.: Effects of yarn constitutions and fabric specifications on electrical properties of hybrid woven fabrics. Compos. A 34, 971–978 (2003)

    Article  Google Scholar 

  4. Terry, B., Slater, K.: Comparitive analysis of synthetic fibres for marine ropes. J. Consum. Stud. Home Econ. 22, 19–24 (1998)

    Article  Google Scholar 

  5. Liu, D., Zhu, C., Peng, K., Guo, Y., Cheng, P.R., Cao, X.: Facile preparation of soy protein/poly(vinyl alcohol) blend fibers with high mechanical performance by wet-spinning. Ind. Eng. Chem. Res. 52, 6177–6181 (2013)

    Article  Google Scholar 

  6. National Highway Traffic Saftey Administration: The Pneumatic Tire, U.S Department of Transportation, DOT HS 810 561 (Feb. 2006)

  7. Gao, X.-L.: Tensile Test Results of the Dyneema SK76 1500-dtex Yarn and Kevlar KM2 600-denier Yarn at different twist levels. The University of Texas at Dallas, Richardson, Department of Mechanical Engineering (2012)

    Google Scholar 

  8. ASTM D7269: Standard Test Methods for Tensile Testing of Aramid Yarns. ASTM International, West Conshohocken, PA (2011)

  9. Mulkern, T.J., Raftenberg, M.N.: Kevlar KM2 yarn and fabric strength under quasi-static tension. In: ARL-TR-2865. Aberdeen, MD (2002)

  10. Yang, H.W., Kim, H.J., Zhu, C.Y., Huh, Y.: Comparisons of core-sheath structuring effects on the tensile properties of high-tenacity ring core-spun yarns. Text. Res. J. 79, 453–460 (2009)

    Article  Google Scholar 

  11. Shioya, M., Itoh, T., Kunugi, T., Takaku, A.: Variation of longitudinal modulus with twist for yarns composed of high modulus fibers. Text. Res. J. 71, 928–937 (2001)

    Article  Google Scholar 

  12. Obaid, A.A., Deitzel, J.M., Gillespie, J.W., Zheng, J.Q.: The effects of environmental conditioning on tensile properties of high performance aramid fibers at near-ambient temperatures. J. Compos. Mater. 45, 1217–1231 (2011)

    Article  Google Scholar 

  13. Rao, Y., Farris, R.J.: A modeling and experimental study of the influence of twist on the mechanical properties of high-performance fiber yarns. J. Appl. Polym. Sci. 77, 1938–1949 (1999)

    Article  Google Scholar 

  14. Sanborn, B., Weerasooriya, T.: Quantifying damage at multiple loading rates to Kevlar KM2 fibers due to weaving, finishing, and pre-twist. Int. J. Impact Eng. 71, 50–59 (2014)

    Article  Google Scholar 

  15. Zhou, G., Sun, X., Wang, Y.: Multi-chain digital element analysis in textile mechanics. Compos. Sci. Technol. 64, 239–244 (2003)

    Article  Google Scholar 

  16. Lim, T.-C.: Three-level hierarchical approach in modeling sheet thermoforming. Int. J. Mech. Sci. 45, 1097–1117 (2003)

    Article  MATH  Google Scholar 

  17. Boubaker, B., Haussy, B., Ganghoffer, J.-F.: Consideration of the yarn-yarn interactions in meso/macro discrete model of fabric. Mech. Res. Commun. 34, 371–378 (2007)

    Article  MATH  Google Scholar 

  18. D’Amato, E.: Finite element modeling of textile composites. Compos. Struct. 54, 467–475 (2001)

    Article  Google Scholar 

  19. Verberne, C.W.: Mechanical Modelling of Textiles, A Literature Survey, Report Number MT10.1, University of Technology, Eindhoven (May 2010)

  20. Loikkanen, M., Praveen, G., Powell, D.: Simulation of Ballistic Impact on Composit Panels. In: 10th International LS-DYNA Users Conference, Impact Analysis (2008)

  21. Grujicic, M., Bell, W.C., Glomski, P.S., Pandurangan, B., Yen, C.F., Cheeseman, B.A.: Filament level modeling of aramid based high performance structural materials. J. Mater. Eng. Perform. 20, 1401–1413 (2011)

    Article  Google Scholar 

  22. Iorga, L., Pan, Y., Pelegri, A.A.: Numerical characterization of material elastic properties for random fiber composites. J. Mech. Mater. Struct. 3, 1279–1298 (2008)

    Article  Google Scholar 

  23. Pan, Y., Iorga, L., Pelegri, A.A.: Numerical generation of a random chopped fiber composite RVE and its elastic properties. Compos. Sci. Technol. 68, 2792–2798 (2008)

    Article  Google Scholar 

  24. Pan, Y., Iorga, L., Pelegri, A.A.: Analysis of 3D random chopped fiber reinforced composite using FEM and random sequential adsorption. Comput. Mater. Sci.: COMMAT 43, 450–461 (2008)

  25. Recchia, S.S., Zheng, J., Pelegri, A.A.: Fiberwalk: a random walk approach to fiber representative volume element creation. Acta Mech. 225, 1301–1312 (2014)

    Article  MATH  Google Scholar 

  26. Altendorf, H., Jeulin, D.: Random walk based stochastic modeling of 3D fiber systems. Phys. Rev. 83, 10 (2010)

    Google Scholar 

  27. Recchia, S.S., Pelegri, A.A., Zheng, J.Q., Horner, S.: Multiscale modeling of randomly interwoven fibers for prediction of KM2 Kevlar yarn strength and damage. Acta Mech. 226, 4149–4158 (2015)

    Article  Google Scholar 

  28. Sierra Solid Mechanics Team: Presto 4.16 Users Guide, Sandia National Labs, Albuquerque (2010)

  29. Liu, X., Yu, W.: Static torsion and torsion fatigue of UHMW-PE and aramid filaments. High Perform. Polym. 17, 593–603 (2005)

    Article  Google Scholar 

  30. Cheng, M., Chen, W., Weerasooriya, T.: Mechanical properties of Kevlar KM2 single fiber. J. Eng. Mater. Technol. 127, 197–203 (2005)

    Article  Google Scholar 

  31. Wang, Y., Xia, Y.M.: Experimental and theoretical study on the strain rate and temperature dependence of mechanical behaviour of Kevlar fibre. Compos. Part A Appl. Sci. Manuf. 30, 1251–1257 (1999)

    Article  Google Scholar 

  32. Nilakantan, G., Obaid, A.A., Keefe, M., Gillespie, J.W.: Experimental evaluation and statistical characterization of the strength and strain energy density distribution of Kevlar KM2 yarns: exploring length-scale and weaving effects. J. Compos. Mater. (2010). doi:10.1177/0021998310387667

    Google Scholar 

  33. Recchia, S.S., Clawson, J.K., Sahin, K., Chassiotis, I., Zheng, J.Q., Pelegri, A. A.: A Hierarchical Model for Kevlar Fiber Failure. In: Proceedings of the ASME 2013 International Mechanical Engineering Congress and Exposition, vol. 9. (2013). doi:10.1115/IMECE2013-66344

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Correspondence to Assimina A. Pelegri.

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Recchia, S.S., Tenorio, M., Horner, S. et al. Analytical model of nonlinear twist dependency for Kevlar yarn based on local filament strain. Acta Mech 228, 561–574 (2017). https://doi.org/10.1007/s00707-016-1721-3

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  • DOI: https://doi.org/10.1007/s00707-016-1721-3

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