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Constitutive modeling of viscoelastic–viscoplastic behavior of short fiber reinforced polymers coupled with anisotropic damage and moisture effects

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Abstract

In this paper, a combined viscoelasticity–viscoplasticity model, coupled with anisotropic damage and moisture effects, is developed for short fiber reinforced polymers (SFRPs) with different fiber contents and subjected to a variety of strain rates. In our model, a rate-dependent yield surface for the matrix phase is employed to identify initial yielding of the material. When an SFRP is loaded at small deformation before yielding, its viscoelastic behavior can be described using the generalized Maxwell model, while when plasticity occurs, a scalar internal state variable (ISV) is used to capture the hardening behavior caused by the polymeric constituent of the composite. The material degradation due to the moisture absorption of the composite is modeled by employing another type of ISV with different evolution equations. The complicated damage state of the SFRPs is captured by a second rank tensor, which is further decomposed to model the subscale damage mechanisms of micro-voids/cracks nucleation, growth and coalescence. It is concluded that the proposed constitutive model can be used to accurately describe complicated behaviors of SFRPs because the results predicted from the model are in good agreement with the experimental data.

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References

  1. Nguyen, T.D., Jones, R.E., Boyce, B.L.: Modeling of the anisotropic finite deformation viscoelastic behavior of soft fiber-reinforced composites. Int. J. Solids Struct. 44, 8366–8389 (2007)

    Article  MATH  Google Scholar 

  2. Andriyana, A., Billon, N., Silva, L.: Mechanical response of a short fiber-reinforced thermoplastic: experimental investigation and continuum mechanical modeling. Eur. J. Mech. A Solid 29, 1065–1077 (2010)

    Article  Google Scholar 

  3. Klinkel, S., Sansour, C., Wagner, W.: An anisotropic fibre-matrix material model at finite elastic–plastic strains. Comput. Mech. 35, 409–417 (2005)

    Article  MATH  Google Scholar 

  4. Notta-Cuvier, D., Lauro, F., Bennani, B., et al.: An efficient modelling of inelastic composites with misaligned short fibres. Int. J. Solids Struct. 50, 2857–2871 (2013)

    Article  Google Scholar 

  5. Voyiadjis, G.Z., Deliktas, B.: A coupled anisotropic damage model for the inelastic response of composite materials. Comput. Methods Appl. Mech. 183, 159–199 (2000)

    Article  MATH  Google Scholar 

  6. Hassan, A., Rahman, N.A., Yahya, R.: Moisture absorption effect on thermal, dynamic mechanical and mechanical properties of injection-molded short glass-fiber/polyamide 6,6 composites. Fiber Polym. 13, 899–906 (2012)

    Article  Google Scholar 

  7. Pan, Y.H., Zhong, Z.: The effect of hybridization on moisture absorption and mechanical degradation of natural fiber composites: an analytical approach. Compos. Sci. Technol. 110, 132–137 (2015)

    Article  Google Scholar 

  8. Horstemeyer, M.F., Bammann, D.J.: Historical review of internal state variable theory for inelasticity. Int. J. Plast. 26, 1310–1334 (2010)

    Article  MATH  Google Scholar 

  9. Bouvard, J.L., Denton, B., Freire, L., et al.: Modeling the mechanical behavior and impact properties of polypropylene and copolymer polypropylene. J. Polym. Res. 23, 1–19 (2016)

    Article  Google Scholar 

  10. Bammann, D.J.: Modeling temperature and strain rate dependent large deformations of metals. Appl. Mech. Rev. 43, 312–319 (1990)

    Article  Google Scholar 

  11. Kachanov, L.M.: Rupture time under creep conditions. Izvestia Akademii Nauk SSSR, Otdelenie Tekhnicheskich Nauk 8, 26–31 (1958). (in Russian)

    Google Scholar 

  12. Murakami, S.: Notion of continuum damage mechanics and its application to anisotropic creep damage theory. J. Eng. Mater. 105, 99–105 (1983)

    Google Scholar 

  13. Rolland, H., Saintier, N., Robert, G.: Damage mechanisms in short glass fibre reinforced thermoplastic during in situ microtomography tensile tests. Compos. Part B Eng. 90, 65–377 (2016)

    Article  Google Scholar 

  14. Rolland, H., Saintier, N., Wilson, P., et al.: In situ X-ray tomography investigation on damage mechanisms in short glass fibre reinforced thermoplastics: effects of fibre orientation and relative humidity. Compos. Part B Eng 109, 170–186 (2017)

    Article  Google Scholar 

  15. Hammi, Y., Horstemeyer, M.F.: A physically motivated anisotropic tensorial representation of damage with separate functions for void nucleation, growth, and coalescence. Int. J. Plast. 23, 1641–1678 (2007)

    Article  MATH  Google Scholar 

  16. Lemaitre, J., Chaboche, J.L.: Mechanics of Solid Materials. Cambridge University Press, Cambridge (1990)

    Book  MATH  Google Scholar 

  17. Mouhmid, B., Lmad, A., Benseddiq, N., et al.: A study of the mechanical behaviour of a glass fibre reinforced polyamide 6,6: experimental investigation. Polym. Test. 25, 544–552 (2006)

    Article  Google Scholar 

  18. Govindjee, S., Simo, J.C.: Mullins’ effect and the strain amplitude dependence of the storage modulus. Int. J. Solids Struct. 29, 1737–1751 (1992)

    Article  MATH  Google Scholar 

  19. He, G.: Development of an elastothermo-viscoplasticity damage model for injection molded short fiber reinforced thermoplastics with anisotropic damage evolutions. Mech. Adv. Mater. Struct. (2018). https://doi.org/10.1080/15376494.2018.1455931

    Google Scholar 

  20. Lemaitre, J., Desmorat, R., Sauzay, M.: Anisotropic damage law of evolution. Eur. J. Mech. A Solids 19, 187–208 (2000)

    Article  MATH  Google Scholar 

  21. Lawrimore II, W.B., Francis, D.K., Bouvard, J.L., et al.: A mesomechanics parametric finite element study of damage growth and coalescence in polymers using an elastoviscoelastic–viscoplastic internal state variable model. Mech. Mater. 96, 83–95 (2016)

    Article  Google Scholar 

  22. Lubarda, V.A., Krajcinovic, K.: Damage tensors and the crack density distribution. Int. J. Solids Struct. 30, 2859–2877 (1993)

    Article  MATH  Google Scholar 

  23. McClintock, F.A.: A criterion for ductile fracture by the growth of holes. J. Appl. Mech. 35, 363–371 (1968)

    Article  Google Scholar 

  24. Ravichandran, G., Rosakis, A.J., Hodowany, J., et al.: On the conversion of plastic work into heat during high-strain-rate deformation. In: Shock Compression of Condensed Matter, American Institute of Physics Conference Series, 620, 557–562 (2002)

  25. Lu, X., Zhang, M.Q., Rong, M.Z., et al.: All-plant fiber composites. II: water absorption behavior and biodegradability of unidirectional sisal fiber reinforced benzylated wood. Polym. Compos. 24, 367–379 (2004)

    Article  Google Scholar 

  26. Pozo Morales, A., Güemes, A., Fernandez-Lopez, A., et al.: Bamboo–polylactic acid (PLA) composite material for structural applications. Materials 10, 1286 (2017)

    Article  Google Scholar 

  27. Wallenberger, F.T., Watson, J.C., Li, H.: Glass fibers. In: Miracle, D.B., Donaldson, S.L. (eds.) ASM Handbook. Volume 21: composites. ASM International (2001). https://www.asminternational.org/news/-/journal_content/56/10192/06781G/PUBLICATION

  28. Voyiadjis, G.Z., Venson, A.R.: Experimental damage investigation of a SiC–Ti aluminide metal matrix composite. Int. J. Damage Mech. 4, 338–361 (1995)

    Article  Google Scholar 

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Acknowledgements

This work was supported by the Mississippi NASA EPSCoR through its Research Infrastructure Development (RID) Program. The authors are grateful to Dr. Nathan Murray and other personnel in that program for their support. The authors would also like to extend their thanks to the support provided by the Center for Advanced Vehicular Systems (CAVS) at Mississippi State University.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Mississippi State University, Starkville, 39762, USA

    Ge He & Yucheng Liu

  2. School of Mechanical Engineering and Automation, Xihua University, Chengdu, 610039, China

    Xingqiao Deng

  3. Department of Engineering, Durham University, Durham, DH1 3LE, UK

    Lei Fan

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  1. Ge He
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  2. Yucheng Liu
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  3. Xingqiao Deng
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  4. Lei Fan
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Correspondence to Ge He.

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He, G., Liu, Y., Deng, X. et al. Constitutive modeling of viscoelastic–viscoplastic behavior of short fiber reinforced polymers coupled with anisotropic damage and moisture effects. Acta Mech. Sin. 35, 495–506 (2019). https://doi.org/10.1007/s10409-018-0810-z

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  • DOI: https://doi.org/10.1007/s10409-018-0810-z

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