Computational Evaluation of Weaving Process on Mechanical Stiffness of Plain Weave Fabric

Abstract:

Inherent structural stress in a plain weave is induced during the formation process of fabrics, and its evaluation is useful for estimating the mechanical stiffness of weaves. In this study, the effect of inherent stress distributed in a weave fabric was investigated to estimate its mechanical stiffness. Here, a numerical simulation method that imitates the fabrication process of fabrics is proposed to evaluate stiffness. A diagram illustrating the weaving process is defined in this evaluation method. For computational analysis, a unit cell model used in homogenization was developed based on the structural periodicity of the plain weave structure using the finite element method. The weaving state was accomplished by simulating the weaving behavior in this model. The weaving state included the geometric shape and stress/strain data. Subsequently, a model was built to estimate the mechanical stiffness based on the weaving state data. Finally, a uniaxial tensile simulation was conducted using the numerical model. Using this evaluation method, the effect of inherent stress on the mechanical stiffness of weaves was quantified, which indicated that the tensile stiffness improved in a small strain range. The effect gradually decreased as the tension progressed.

• Periodical: Materials Science Forum (Volume 1117)
• Pages: 63-71
• DOI: https://doi.org/10.4028/p-7qdN38
• Online since: March 2024
• Authors: Yue Zhang*, Hikaru Miyaki, Jianliang Zhang, Atsushi Sakuma
• Keywords: Finite Element Method, Homogenization Method, Inherent Stress, Plain Weave Fabric, Tensile Stiffness

References

[1] Hearle, J. W., Morton, W. E. (2008). Physical Properties of Textile Fibres. Elsevier.

[2] Gupta, V. B. (2002). Heat setting. Journal of Applied Polymer Science, 83(3), 586-609.

[3] Bathe, K. J. (2006). Finite Element Procedures. Klaus-Jurgen Bathe.

[4] Grujicic, M., Hariharan, A., Pandurangan, B., Yen, C.-F., Cheese40 man, B., Wang, Y., Miao, Y., Zheng, J. (2012). Fiber-level modeling of dynamic strength of Kevlar® KM2 ballistic fabric. Journal of Materials Engineering and Performance, 21, 1107-1119.

DOI: 10.1007/s11665-011-0006-1

[5] Ivanov, I., Tabiei, A. (2002). Flexible woven fabric micromechanical material model with fiber reorientation. Mechanics of Advanced Materials and Structures, 9(1), 37-51.

DOI: 10.1080/153764902317224860

[6] King, M. J., Jearanaisilawong, P., Socrate, S. (2005). A continuum constitutive model for the mechanical behavior of woven fabrics. International Journal of Solids and Structures, 42(13), 3867-3896.

DOI: 10.1016/j.ijsolstr.2004.10.030

[7] Pham, M. Q., Wendt, E., Häntzsche, E., Gereke, T., Cherif, C. (2022). Numerical modeling of the mechanical behavior of textile structures on the meso-scale for forming process simulations of composite 3D preforms. Engineering Reports, 4(7-8), e12348.

DOI: 10.1002/eng2.12348

[8] Sakakibara, K., Yokoyama, A. (2007). Numerical simulation of deformation behavior of fabric structures under bi-axial load. Journal of Textile Engineering, 53(2), 79-86.

[9] Sockalingam, S., Gillespie Jr, J. W., Keefe, M. (2014). On the transverse compression response of Kevlar KM2 using fiber-level finite element model. International Journal of Solids and Structures, 51(13), 2504-2517.[10] Tan, P., Tong, L., & Steven, G. P. (1997). Modelling for predicting the mechanical properties of textile composites-A review. Composites Part A: Applied Science and Manufacturing, 28(11), 903-922.

DOI: 10.1016/j.ijsolstr.2014.03.020

[11] Nilakantan, G., Keefe, M., Bogetti, T. A., Adkinson, R., Gillespie Jr, J. W. (2010). On the finite element analysis of woven fabric impact using multiscale modeling techniques. International Journal of Solids and Structures, 47(17), 2300-2315.

DOI: 10.1016/j.ijsolstr.2010.04.029

[12] Peirce, F. T. (1937). 5-The geometry of cloth structure. Journal of the Textile Institute Transactions, 28(3), T45-T96.

DOI: 10.1080/19447023708658809

[13] Miyaki, H., Sakuma, A. (2018). Phantom-element Technique for Periodic Deformation Analysis of Plain Fabrics using LS-DYNA. In Proceedings of the ASME 2018 International Mechanical Engineering Congress and Exposition, Vol. 52149, p. V009T12A050.

DOI: 10.1115/imece2018-87459

[14] Miyaki, H., Sakuma, A. (2020). Diagram Design of Weaving Process for Touch-Feel Estimation of Plain-Woven Fabrics by Finite Element Method. In ASME International Mechanical Engineering Congress and Exposition, Vol. 84492, p. V02BT02A048. American Society of Mechanical Engineers.

DOI: 10.1115/1.0004358v

[15] Zhang, J., Miyaki, H., Sakuma, A. (2019). The elastoplasticity behavior of wire in inhomogeneous woven metal mesh. In COMPLAS XV: Proceedings of the XV International Conference on Computational Plasticity: Fundamentals and Applications, pp.378-384. CIMNE.

[16] Geers, Marc. GD, Kouznetsova, V. G., Brekelmans, WAM1402. (2010). Multi-scale computational homogenization: Trends and challenges. Journal of Computational and Applied Mathematics, 234(7), 2175-2182.

DOI: 10.1016/j.cam.2009.08.077

[17] Li, S. (2008). Boundary conditions for unit cells from periodic microstructures and their implications. Composites Science and Technology, 68(9), 1962-1974.

DOI: 10.1016/j.compscitech.2007.03.035

[18] Yu, W., Tang, T. (2007). Variational asymptotic method for unit cell homogenization of periodically heterogeneous materials. International Journal of Solids and Structures, 44(11-12), 3738- 3755.

DOI: 10.1016/j.ijsolstr.2006.10.020