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Thermo-mechanical Coupling Constitutive Equations of Braided Composites

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Impact Damages of Braided Composites

Abstract

This chapter reports the thermo-mechanical coupled constitutive relationship materials under impact loading. The stiffness matrix is calculated using the bridge model. Elastic-plastic behavior of fiber tows is defined using Hooke’s law and Hill’s anisotropic plasticity model. The elastic-plastic behavior of the matrix is defined using Hooke’s law, J2 isotropic hardening plasticity theory, and von Mises yield criterion. Constitutive equation is constructed with a combination of stiffness damage evolution law, adhesive-cohesive model of interface damage, and thermo-mechanical coupling. The ductile failure and shear failure criteria are introduced to calculate the impact damage.

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References

  1. Christos, C.C.: Mechanics of composite materials_ past, present and future. J. Compos. Technol. Res. 11(1), 3–14 (1989)

    Article  Google Scholar 

  2. Chen, L., Tao, X., Choy, C.: A structural analysis of 3-D braids. J. China Text. Univ. (Eng Ed). 14(3), 8–13 (1997)

    Google Scholar 

  3. Huang, Z.M.: The mechanical properties of composites reinforced with woven and braided fabrics. Compos. Sci. Technol. 60, 479–498 (2000)

    Article  CAS  Google Scholar 

  4. Farooqi, J.K., Sheikh, M.A.: Finite element modelling of thermal transport in ceramic matrix composites. Comput. Mater. Sci. 37, 361–373 (2006)

    Article  CAS  Google Scholar 

  5. Liu, S., Zhang, J., Shi, B., Wang, L., Gu, B., Sun, B.: Damage and failure mechanism of 3D carbon fiber/epoxy braided composites after thermo-oxidative ageing under transverse impact compression. Compos. Part B. 161, 677–690 (2019)

    Article  CAS  Google Scholar 

  6. Hill, R., Orowan, E.: A theory of the yielding and plastic flow of anisotropic metals. Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. 193, 281–297 (1948)

    CAS  Google Scholar 

  7. Pankow, M., Waas, A.M., Yen, C.F., et al.: Modeling the response, strength and degradation of 3D woven composites subjected to high rate loading. Compos. Struct. 94(5), 1590–1604 (2012)

    Article  Google Scholar 

  8. Hu, M., Zhang, J., Sun, B., Gu, B.: Finite element modeling of multiple transverse impact damage behaviors of 3-D braided composite beams at microstructure level. Int. J. Mech. Sci. 148, 730–744 (2018)

    Article  Google Scholar 

  9. Ahmadian, H., Yang, M., Soghrati, S.: Effect of resin-rich zones on the failure response of carbon fiber reinforced polymers. Int. J. Solids Struct. 188–189, 74–87 (2020)

    Article  Google Scholar 

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Hu, M., Gu, B. (2022). Thermo-mechanical Coupling Constitutive Equations of Braided Composites. In: Impact Damages of Braided Composites. Engineering Materials. Springer, Singapore. https://doi.org/10.1007/978-981-16-5703-0_2

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