Journal of Materials Science

, Volume 52, Issue 8, pp 4658–4674 | Cite as

Finite element analysis of the damage mechanism of 3D braided composites under high-velocity impact

  • Chao Zhang
  • Jose L. Curiel-Sosa
  • Enock A. Duodu
Original Paper


The integrated near-net-shape structure of 3D braided composites provides excellent impact resistant properties over laminated composites. However, the load distribution and damage mechanism throughout the braided structures become more complicated. In this paper, a finite element model based on three unit-cells is established to assess the penetration process of 3D braided composites under high-velocity impact. A 3D rate-dependent constitutive model is employed to determine the constituent behavior in the three unit-cells. An instantaneous degradation scheme is proposed initiated by appropriate failure criteria of yarns and matrix. All these constitutive models are coded by a user-material subroutine VUMAT developed in ABAQUS/Explicit. The whole process of ballistic damage evolution of 3D braided composites is simulated, and the impact resistance and damage mechanisms are analyzed in detail in the simulation process. The effects of impact velocity on the ballistic properties and energy absorption characteristics of the composite structures are also discussed.


Impact Velocity Target Plate Ballistic Impact Residual Velocity Unidirectional Composite 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



The authors of this paper wish to acknowledge the financial support by Postdoctoral Science Foundation of Jiangsu Province (1402101C), Senior Talent Start-up Foundation of Jiangsu University (14JDG136), Jiangsu Government Scholarship for Overseas Studies, and Jiangsu University Study abroad Fund.


  1. 1.
    Yang JM, Ma CL, Chou TW (1986) Fiber inclination model of three dimensional textile structural composites. J Compos Mater 20(5):472–484CrossRefGoogle Scholar
  2. 2.
    Wang YQ, Wang ASD (1995) Microstructure/property relationships in three dimensionally braided fiber composites. Compos Sci Technol 53(2):213–232CrossRefGoogle Scholar
  3. 3.
    Chen L, Tao XM, Choy CL (1999) On the microstructure of three-dimensional braided preforms. Compos Sci Technol 59(3):391–404CrossRefGoogle Scholar
  4. 4.
    Xu K, Qian XM (2015) Microstructure analysis and multi-unit cell model of three dimensionally four-directional braided composites. Appl Compos Mater 22(1):29–50CrossRefGoogle Scholar
  5. 5.
    Sun HY, Qiao X (1997) Prediction of mechanical properties of three-dimensionally braided composites. Compos Sci Technol 57(6):623–629CrossRefGoogle Scholar
  6. 6.
    Yu XG, Cui JZ (2007) The prediction on mechanical properties of 4-step braided composites via two-scale method. Compos Sci Technol 67(3–4):471–480CrossRefGoogle Scholar
  7. 7.
    Zhang C, Xu XW (2013) Finite element analysis of 3D braided composites based on three unit-cells models. Compos Struct 98:130–142CrossRefGoogle Scholar
  8. 8.
    Sun J, Zhou GM, Zhou CW (2015) Microstructure and mechanical properties of 3D surface-core 4-directional braided composites. J Mater Sci 50:7398–7412. doi: 10.1007/s10853-015-9297-1 CrossRefGoogle Scholar
  9. 9.
    Zeng T, Wu LZ, Guo LC (2004) A finite element model for failure analysis of 3D braided composites. Mater Sci Eng A 366(1):144–151CrossRefGoogle Scholar
  10. 10.
    Dong JW, Feng ML (2010) Asymptotic expansion homogenization for simulating progressive damage of 3D braided composites. Compos Struct 92(4):873–882CrossRefGoogle Scholar
  11. 11.
    Fang GD, Liang J, Wang BL (2011) Effect of interface properties on mechanical behavior of 3D four directional braided composites with large braid angle subjected to uniaxial tension. Appl Compos Mater 18(5):449–465CrossRefGoogle Scholar
  12. 12.
    Zhang DT, Sun Y, Wang XM et al (2015) Meso-scale finite element analyses of three-dimensional five-directional braided composites subjected to uniaxial and biaxial loading. J Reinf Plast Comp 34(24):1989–2005CrossRefGoogle Scholar
  13. 13.
    Gong JC, Sankar BV (1991) Impact properties of three-dimensional braided graphite/epoxy composites. J Compos Mater 25(6):715–731Google Scholar
  14. 14.
    Flanagan MP, Zikry MA, Wall JW et al (1999) An experimental investigation of high velocity impact and penetration failure modes in textile composites. J Compos Mater 33(12):1080–1103CrossRefGoogle Scholar
  15. 15.
    Xu J, Gu BH (2002) Damage pattern and failure mode of 3-dimensional composites under ballistic impact. J Ballist 14(2):39–43Google Scholar
  16. 16.
    Wen HM (2000) Predicting the penetration and perforation of FRP laminates struck normally by projectiles with different nose shapes. Compos Struct 49(3):321–329CrossRefGoogle Scholar
  17. 17.
    Naik NK, Shrirao P (2004) Composite structures under ballistic impact. Compos Struct 66(1–4):579–590CrossRefGoogle Scholar
  18. 18.
    Udatha P, Kumar CVS, Nair NS, Naik NK (2012) High velocity impact performance of three-dimensional woven composites. J Strain Anal Eng Des 47(7):419–431CrossRefGoogle Scholar
  19. 19.
    Jenq ST, Mao JJ (1996) Ballistic impact response for two-step braided three dimensional textile composites. AIAA Journal 34(2):375–384CrossRefGoogle Scholar
  20. 20.
    Jenq ST, Kuo JT, Sheu LT (1998) Ballistic impact response of 3D four-step braided glass/epoxy composites. Key Eng Mater 141–143(1):349–366CrossRefGoogle Scholar
  21. 21.
    Gu B, Ding X (2005) A refined quasi-microstructure model for finite element analysis of three dimensional braided composites under ballistic penetration. J Compos Mater 39(8):685–710CrossRefGoogle Scholar
  22. 22.
    Ji KH, Kim SJ (2007) Dynamic direct numerical simulation of woven composites for low-velocity impact. J Compos Mater 41(2):175–200CrossRefGoogle Scholar
  23. 23.
    Gu B (2007) A microstructure model for finite-element simulation of 3D rectangular braided composite under ballistic penetration. Philos Mag 87(30):4643–4669CrossRefGoogle Scholar
  24. 24.
    Bahei-El-Din YA, Zikry MA (2003) Impact induced deformation fields in 2D and 3D woven composites. Compos Sci Technol 63(7):923–942CrossRefGoogle Scholar
  25. 25.
    Zhang Y, Jiang LL, Sun BZ et al (2012) Transverse impact behaviors of four-step 3-D rectangular braided composites from unit-cell approach. J Reinf Plast Comp 31(4):233–246CrossRefGoogle Scholar
  26. 26.
    Sun BZ, Liu YK, Gu BH (2009) A unit cell approach of finite element calculation of ballistic impact damage of 3-D orthogonal woven composite. Compos Part B 40(6):552–560CrossRefGoogle Scholar
  27. 27.
    Li ZJ, Sun BZ, Gu B (2010) FEM simulation of 3D angle-interlocked woven composite under ballistic impact from unit cell approach. Comput Mater Sci 49(1):171–183CrossRefGoogle Scholar
  28. 28.
    Tang YY, Sun BZ, Gu BH (2011) Impact damage of 3D cellular woven composite from unit-cell level analysis. Int J Damage Mech 20(3):323–346CrossRefGoogle Scholar
  29. 29.
    Mahmood A, Wang X, Zhou C (2011) Modeling strategies of 3D woven composites: a review. Compos Struct 93:1947–1963CrossRefGoogle Scholar
  30. 30.
    Karim MR, Fatt MSH (2006) Rate-dependent constitutive equations for carbon fiber-reinforced epoxy. Polym Compos 27(5):513–528CrossRefGoogle Scholar
  31. 31.
    Chamis CC (1989) Mechanics of composites materials: past, present and future. J Compos Technol Res 11(1):3–14CrossRefGoogle Scholar
  32. 32.
    Zhu LT, Sun BZ, Hu H et al (2012) Ballistic impact damage of biaxial multilayer knitted composite. J Compos Mater 46(5):527–547CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • Chao Zhang
    • 1
  • Jose L. Curiel-Sosa
    • 2
  • Enock A. Duodu
    • 1
  1. 1.Department of Mechanical Design, School of Mechanical EngineeringJiangsu UniversityZhenjiangChina
  2. 2.Department of Mechanical EngineeringThe University of SheffieldSheffieldUK

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