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An effective multiscale analysis for the mechanical properties of 3D braided composites considering pore defects

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Abstract

Pore defects are common defects in composites and can seriously affect the mechanical properties of composites. The present paper not only considers the pore defects, but also considers the influence of interface defects on the effective stiffness of 3D braided composites. A damage model is developed to predict the damage propagation of 3D braided composites considering pore defects. A multiscale simulation method using representative volume elements (RVE) combined with a micromechanical method and the finite element method is developed in this paper to meet the multiscale and periodic characteristics of 3D braided composites. The constituents at the microscale are composed of matrix, interface, fiber and pores, and the constituents at the mesoscale are composed of matrix, yarns and pores. The yarn at the microscale is homogenized by means of Mori–Tanaka model and extended double-inclusion model. The prediction and analysis methods of the existing models are compared with the experimental results to prove the effectiveness of the method.

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References

  1. Fang, G., Liang, J.: A review of numerical modeling of three-dimensional braided textile composites. J. Compos. Mater. 45(23), 2415–2436 (2011)

    Article  Google Scholar 

  2. Kim, N., Dutta, S., Bhattacharyya, D.: A review of flammability of natural fibre reinforced polymeric composites. Compos. Sci. Technol. 162, 64–78 (2018)

    Article  Google Scholar 

  3. Li, D., Lu, Z., Chen, L., et al.: Microstructure and mechanical properties of three-dimensional five-directional braided composites. Int. J. Solids Struct. 46(18–19), 3422–3432 (2009)

    Article  MATH  Google Scholar 

  4. Cichosz, J., Wehrkamp-Richter, T., Koerber, H., et al.: Failure and damage characterization of (±30) biaxial braided composites under multiaxial stress states. Compos. A Appl. Sci. Manuf. 90, 748–759 (2016)

    Article  Google Scholar 

  5. Fang, G., Liang, J., Wang, B.: Progressive damage and nonlinear analysis of 3D four-directional braided composites under unidirectional tension. Compos. Struct. 89(1), 126–133 (2009)

    Article  Google Scholar 

  6. Ge, J., He, C., Liang, J., et al.: A coupled elastic-plastic damage model for the mechanical behavior of three-dimensional (3D) braided composites. Compos. Sci. Technol. 157, 86–98 (2018)

    Article  Google Scholar 

  7. He, C., Ge, J., Qi, D., et al.: A multiscale elasto-plastic damage model for the nonlinear behavior of 3D braided composites. Compos. Sci. Technol. 171, 21–33 (2019)

    Article  Google Scholar 

  8. Wang, B., Fang, G., Liu, S., et al.: Progressive damage analysis of 3D braided composites using FFT-based method. Compos. Struct. 192, 255–263 (2018)

    Article  Google Scholar 

  9. Zhai, J., Zeng, T., Xu, G.-d, et al.: A multi-scale finite element method for failure analysis of three-dimensional braided composite structures. Compos. Part B Eng. 110, 476–486 (2017)

    Article  Google Scholar 

  10. Yu, X., Cui, J.: The prediction on mechanical properties of 4-step braided composites via two-scale method. Compos. Sci. Technol. 67(3–4), 471–480 (2007)

    Article  Google Scholar 

  11. Yang, Z., Sun, Y., Huang, S., et al.: A higher-order three-scale reduced homogenization approach for nonlinear mechanical properties of 3D braided composites. Int. J. Mech. Sci. 208, 106684 (2021)

    Article  Google Scholar 

  12. Zhang, D., Zheng, X., Wang, Z., et al.: Effects of braiding architectures on damage resistance and damage tolerance behaviors of 3D braided composites. Compos. Struct. 232, 111565 (2020)

    Article  Google Scholar 

  13. Di Landro, L., Montalto, A., Bettini, P., et al.: Detection of voids in carbon/epoxy laminates and their influence on mechanical properties. Polym. Polym. Compos. 25(5), 371–380 (2017)

    Article  Google Scholar 

  14. Dong, C.: Effects of process-induced voids on the properties of fibre reinforced composites. J. Mater. Sci. Technol. 32(7), 597–604 (2016)

    Article  Google Scholar 

  15. Wang, K., Lu, Y., Rao, Y., et al.: New insights into the synergistic influence of voids and interphase characteristics on effective properties of unidirectional composites. Compos. Struct. 255, 112862 (2021)

    Article  Google Scholar 

  16. García-Macías, E., Castro-Triguero, R., Ubertini, F.: Two-step hierarchical micromechanics model of partially saturated porous composites doped with ellipsoidal particles with interface effects. Compos. B Eng. 148, 49–60 (2018)

    Article  Google Scholar 

  17. Ge, L., Li, H., Zheng, H., et al.: Two-scale damage failure analysis of 3D braided composites considering pore defects. Compos. Struct. 260, 113556 (2021)

    Article  Google Scholar 

  18. Krauklis, A.E., Gagani, A.I., Echtermeyer, A.T.: Long-term hydrolytic degradation of the sizing-rich composite interphase. Coatings 9(4), 263 (2019)

    Article  Google Scholar 

  19. Sokołowski, D., Kamiński, M.: Homogenization of carbon/polymer composites with anisotropic distribution of particles and stochastic interface defects. Acta Mech. 229, 3727–3765 (2018)

    Article  MathSciNet  Google Scholar 

  20. Rao, Y., Dai, H.: Micromechanics-based thermo-viscoelastic properties prediction of fiber reinforced polymers with graded interphases and slightly weakened interfaces. Compos. Struct. 168, 440–455 (2017)

    Article  Google Scholar 

  21. Xu, W., Wu, F., Jiao, Y., et al.: A general micromechanical framework of effective moduli for the design of nonspherical nano-and micro-particle reinforced composites with interface properties. Mater. Des. 127, 162–172 (2017)

    Article  Google Scholar 

  22. Balokhonov, R., Zinoviev, A., Romanova, V., et al.: The computational micromechanics of materials with porous ceramic coatings. Meccanica 51, 415–428 (2016)

    Article  MathSciNet  Google Scholar 

  23. Jacob, M., Joseph, S., Pothan, L.A., et al.: A study of advances in characterization of interfaces and fiber surfaces in lignocellulosic fiber-reinforced composites. Compos. Interfaces 12(1–2), 95–124 (2005)

    Article  Google Scholar 

  24. Vasudeva, R., Rao, P.G.: Influence of voids in interface zones on Lamb-mode spectra in fiber-reinforced composite laminates. J. Appl. Phys. 71(2), 612–619 (1992)

    Article  Google Scholar 

  25. Hamidi, Y.K., Aktas, L., Altan, M.C.: Three-dimensional features of void morphology in resin transfer molded composites. Compos. Sci. Technol. 65(7–8), 1306–1320 (2005)

    Article  Google Scholar 

  26. Mori, T., Tanaka, K.: Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall. 21(5), 571–574 (1973)

    Article  Google Scholar 

  27. Lu, P., Leong, Y., Pallathadka, P., et al.: Effective moduli of nanoparticle reinforced composites considering interphase effect by extended double-inclusion model–Theory and explicit expressions. Int. J. Eng. Sci. 73, 33–55 (2013)

    Article  Google Scholar 

  28. Hori, M., Nemat-Nasser, S.: Double-inclusion model and overall moduli of multi-phase composites. Mech. Mater. 14(3), 189–206 (1993)

    Article  Google Scholar 

  29. Chamis C. Simplified composite micromechanics equations for strength, fracture toughness and environmental effects. Sampe Quarterly, 1984, 15.

  30. Xia, Z., Zhou, C., Yong, Q., et al.: On selection of repeated unit cell model and application of unified periodic boundary conditions in micro-mechanical analysis of composites. Int. J. Solids Struct. 43(2), 266–278 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  31. Li, X., Binienda, W.K., Goldberg, R.K.: Finite-element model for failure study of two-dimensional triaxially braided composite. J. Aerosp. Eng. 24(2), 170–180 (2011)

    Article  Google Scholar 

  32. Murakami, S.: Mechanical modeling of material damage. 55, 280–286 (1988)

    Google Scholar 

  33. Duvant G, Lions J L. (2012) Inequalities in mechanics and physics [M]. Springer Science & Business Media

  34. Liu, Y., Qi, Z., Chen, W., et al.: An approach to design high-performance unidirectional CFRPs based on a new sensitivity analysis model. Compos. Struct. 224, 111078 (2019)

    Article  Google Scholar 

  35. Dinzart, F., Sabar, H., Berbenni, S.: Homogenization of multi-phase composites based on a revisited formulation of the multi-coated inclusion problem. Int. J. Eng. Sci. 100, 136–151 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  36. Chen, L., Tao, X., Choy, C.: Mechanical analysis of 3-D braided composites by the finite multiphase element method. Compos. Sci. Technol. 59(16), 2383–2391 (1999)

    Article  Google Scholar 

  37. Pang, B., Du, S., Han, J., et al.: Experimental investigation on three-dimensional four-direction braided carbon/epoxy composites. Acta Materiae Compositae Sinica 16, 4 (1999). ((in Chinese))

    Google Scholar 

Download references

Acknowledgements

This work is Supported by the Excellent Youth Project of Heilongjiang Natural Science Foundation (YQ2021A005) and also Supported by State Key Laboratory of Mechanics and Control of Mechanical Structures (Nanjing University of Aeronautics and astronautics) (Grant No. MCMS-E-0422G02).

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Authors and Affiliations

  1. Department of Astronautic Science and Mechanics, Harbin Institute of Technology, Harbin, 150001, China

    Jianjin Gong, Zhiqiang Yang, Runze Huang, Jian Zhou & Yizhi Liu

  2. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Zhiqiang Yang

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  1. Jianjin Gong
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Correspondence to Zhiqiang Yang or Yizhi Liu.

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Gong, J., Yang, Z., Huang, R. et al. An effective multiscale analysis for the mechanical properties of 3D braided composites considering pore defects. Acta Mech 234, 6629–6647 (2023). https://doi.org/10.1007/s00707-023-03733-w

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  • DOI: https://doi.org/10.1007/s00707-023-03733-w

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