Abstract
The directional elastic properties of composite yarn calculated by micromechanical models depend on the type of the models directionally adopted, and which significantly impacts the estimation of effective mechanical properties of woven composites composed of yarns and matrix (resin). This study proposed a methodology to predict the effective mechanical properties of a plain woven composite with lower errors by adopting direction-selective micromechanical models for composite yarns. We found that most of the effective mechanical properties of the plain woven composite are improved. Moreover, the elastic moduli in the warp and fill directions, which critically affect the mechanical behavior of composite structures, are particularly consistent with the experimental data, and exhibit relative errors of 0.18% and 1.93%, respectively. These errors are 95.6% and 16.8% lower than those presented by previous researchers. These findings indicate that the proposed methodology can successfully predict the effective mechanical properties of plain woven composites and contribute to the accurate and efficient analysis of their structural behaviors.
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References
Huang X, Gillespie JW, Bogetti TA (2000) Process-induced stress for woven fabric thick section composite structures. Compos Struct 49:303–312. https://doi.org/10.1016/S0263-8223(00)00062-3
Qiao K, Xu X (2022) Parallel multiscale numerical framework of the non-linear failure analysis for three-dimension composite structures. Int J Aeronaut Space Sci 23:77–91. https://doi.org/10.1007/s42405-021-00430-7
Kim DH, Kim SW (2019) Evaluation of bird strike-induced damages of helicopter composite fuel tank assembly based on fluid-structure interaction analysis. Compos Struct 210:676–686. https://doi.org/10.1016/j.compstruct.2018.11.086
Kim H, Park J (2021) Improved modeling method for 3-dimensional woven composites using weaving parameters. Int J Aeronaut Space Sci 22:824–833. https://doi.org/10.1007/s42405-021-00365-z
Lee SK, Byun JH, Hong SH (2003) Effect of fiber geometry on the elastic constants of the plain woven fabric reinforced aluminum matrix composites. Mater Sci Eng A 347:346–358. https://doi.org/10.1016/S0921-5093(02)00614-7
Kim M, Park J (2021) Stiffness prediction of triaxial braided composites accounting for manufacturing parameters. Int J Aeronaut Space Sci 22:602–612. https://doi.org/10.1007/s42405-021-00379-7
Geleta TN, Woo K, Lee B (2017) Prediction of effective material properties for triaxially braided textile composite. Int J Aeronaut Space Sci 18:222–235. https://doi.org/10.5139/IJASS.2017.18.2.222
Ishikawa T, Chou TW (1982) Elastic behavior of woven hybrid composites. J Compos Mater 16:2–19. https://doi.org/10.1177/002199838201600101
Vandeurzen P, Ivens J, Verpoest I (1996) A three-dimensional micromechanical analysis of woven-fabric composites: II. Elastic analysis. Compos Sci Technol 56:1317–1327. https://doi.org/10.1016/S0266-3538(96)00091-7
Goda I, Ganghoffer J (2016) Construction of first and second order grade anisotropic continuum media for 3D porous and textile composite structures. Compos Struct 141:292–327. https://doi.org/10.1016/j.compstruct.2016.01.061
Rahali Y, Goda I, Ganghoffer JF (2016) Numerical identification of classical and nonclassical moduli of 3D woven textiles and analysis of scale effects. Compos Struct 135:122–139. https://doi.org/10.1016/j.compstruct.2015.09.023
Nicoletto G, Riva E (2004) Failure mechanisms in twill-weave laminates: FEM predictions vs. experiments. Compos Part A Appl Sci Manuf 35:787–795. https://doi.org/10.1016/j.compositesa.2004.01.007
Kim YK, White SR (1997) Viscoelastic analysis of processing-induced residual stresses in thick composite laminates. Mech Compos Mater Struct 4:361–387. https://doi.org/10.1080/10759419708945889
Kim DH, Kim SW, Lee I (2022) Evaluation of curing process-induced deformation in plain woven composite structures based on cure kinetics considering various fabric parameters. Compos Struct 287:115379. https://doi.org/10.1016/j.compstruct.2022.115379
Hui Y, Xu R, Giunta G, De Pietro G, Hu H, Belouettar S, Carrera E (2019) Multiscale CUF-FE2 nonlinear analysis of composite beam structures. Comput Struct 221:28–43. https://doi.org/10.1016/j.compstruc.2019.05.013
Geers MGD, Kouznetsova VG, Matouš K, Yvonnet J (2017) Homogenization methods and multiscale modeling: nonlinear problems. encyclopedia of computational mechanics, 2nd edn. Wiley, New York, pp 1–34
Liang B, Zhang W, Fenner JS, Gao J, Shi Y, Zeng D, Su X, Liu WK, Cao J (2019) Multi-scale modeling of mechanical behavior of cured woven textile composites accounting for the influence of yarn angle variation. Compos A Appl Sci Manuf 124:105460. https://doi.org/10.1016/j.compositesa.2019.05.028
Sabuncuoglu B, Orlova S, Gorbatikh L, Lomov SV, Verpoest I (2015) Micro-scale finite element analysis of stress concentrations in steel fiber composites under transverse loading. J Compos Mater 49:1057–1069. https://doi.org/10.1177/0021998314528826
Byun JH (2000) The analytical characterization of 2-D braided textile composites. Compos Sci Technol 60:705–716. https://doi.org/10.1016/S0266-3538(99)00173-6
Jones RM (1999) Mechanics of composite materials. Taylor & Francis, Abingdon
Voigt W (1889) The relation between the two elastic moduli of isotropic materials. Ann Phys 38:573–587
Reuss A (1929) Calculation of the yield point of mixed crystals. Math Mech 9:55
Lamers EAD (1999) Review on micromechanical modelling. Technical Report for the Department of Mechanical Engineering, Precimould (BE 97–4351), University of Twente
Chamis CC (1983) Simplified composite micromechanics equations for hygral, thermal and mechanical properties. NASA Technical Memorandum 83320, Reinforced Plastics Composites Institute, Houston, Texas
Halpin JC (1969) Effects of environmental factors on composite materials. Report, Air Force Materials Lab, Wright-Patterson
Ashton JE, Halpin JC, Petit PH (1969) Primer on composite materials: analysis. Technomic Pub. Co. Stamford, Conn
Kardos JL (1973) Structure property relations in short-fiber reinforced plastics. Crit Rev Solid State Mater Sci 3:419–450. https://doi.org/10.1080/10408437308244870
Hewitt RL, de Malherbe MC (1970) An approximation for the longitudinal shear modulus of continuous fibre composites. J Compos Mater 4:280–282
Bogetti TA, Gillespie JW (1992) Process-induced stress and deformation in thick-section thermoset composite laminates. J Compos Mater 26:626–660. https://doi.org/10.1177/002199839202600502
Hill RA (1965) Self-consistent mechanics of composite materials. J Mech Phys Solids 13:213–222. https://doi.org/10.1016/0022-5096(65)90010-4
Chow TS, Hermans JJ (1969) The elastic constants of fiber reinforced materials. J Compos Mater 3:382–396. https://doi.org/10.1177/002199836900300302
Hill R (1965) Theory of mechanical properties of fibre-strengthened materials—III. Self–consistent model. J Mech Phys Solids 13:189–198. https://doi.org/10.1016/0022-5096(65)90008-6
Hermans JJ (1967) The elastic properties of fiber reinforced materials when the fibers are aligned. Proc K Ned Wet B 70:1–9
Whitney JM (1967) Elastic moduli of unidirectional composites with anisotropic filaments. J Compos Mater 1:188–193. https://doi.org/10.1177/002199836700100208
Gibson R (2016) Principles of composite material mechanics, 4th edn. McGraw-Hill Inc, New York
Dai X, Wang Y, Tang C, Guo X (2016) Mechanics analysis on the composite flywheel stacked from circular twill woven fabric rings. Compos Struct 155:19–28. https://doi.org/10.1016/j.compstruct.2016.07.061
Kreger AF, Teters GA (1980) Use of averaging methods to determine the viscoelastic properties of spatially reinforced composites. Mech Compos Mater 15:377–383. https://doi.org/10.1007/BF00605861
Wang W, Dai Y, Zhang C, Gao X, Zhao M (2016) Micromechanical modeling of fiber-reinforced composites with statistically equivalent random fiber distribution. Materials 9:624. https://doi.org/10.3390/ma9080624
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This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (NO. 2019R1A2C4070280).
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Kim, DH., Kim, SW. Estimation of Effective Mechanical Properties of Plain Woven Composites Using Direction-Selective Micromechanical Models. Int. J. Aeronaut. Space Sci. 23, 521–532 (2022). https://doi.org/10.1007/s42405-022-00459-2
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DOI: https://doi.org/10.1007/s42405-022-00459-2