Skip to main content
Log in

A practical technique to assess the influence of the misalignment angle of unidirectional composite fibers under compressive load

  • Technical Paper
  • Published:
Journal of the Brazilian Society of Mechanical Sciences and Engineering Aims and scope Submit manuscript

Abstract

This work employs a micromechanical theory and kinematic relationships to describe the displacement field in individual unidirectional composite plies. The technique relies on an incremental approach where the misalignment angle of fibers is the main variable in the analysis. Upon convergence at a certain loading level, stresses and strains are evaluated in the fibers and matrix using micromechanics, and a specific failure criterion is applied. The Ramberg–Osgood relations are used to correct degraded mechanical properties of the resin in the nonlinear regime. The use of a 2D finite element model with a 3° initial misalignment angle of fibers, showed a good approach to complement the problem solution. The Hashin-Rotem failure criterion and experimental data obtained by Matsuo (Compos Part A: Appl Sci Manuf, 93:117-125, 2017) are used to validate the technique. It is observed that the numerical and experimental results obtained correlate well.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. Matsuo T, Kageyama K (2015) Investigation about temperature dependence of unidirectional compressive strength of carbon fiber reinforced thermoplastic composites. In Proceedings of ICCM-20 Conference, July 2015, Copenhagen, Denmark.

  2. Rosen BW (1965) Mechanics of composite strengthening. In Fiber composite materials. American Society for Metals, 37–75, 1965.

  3. Budiansky B (1983) Micromechanics. Comput Struct 16(1–4):3–12. https://doi.org/10.1016/0045-7949(83)90141-4

    Article  MATH  Google Scholar 

  4. Hahn HT, Williams JG (1984) Compression failure mechanisms in unidirectional composites, NASA TM 85834, 1984.

  5. Sun CT, Jun AW (1994) Compressive strength of unidirectional fiber composite with matrix non-linearity. Compos Sci Technol 52(4):577–587. https://doi.org/10.1016/0266-3538(94)90041-8

    Article  Google Scholar 

  6. Budiansky B, Fleck NA (1993) Compressive failure of fibre composite. J Mech Phys Solids 41(1):183–211. https://doi.org/10.1016/0022-5096(93)90068-Q

    Article  Google Scholar 

  7. Pimenta S, Gutkin R, Pinho ST, Robinson P (2009) A micromechanical model for kink band formation: part II–analytical modelling. Compos Sci Technol 69(7–8):956–964. https://doi.org/10.1016/j.compscitech.2009.02.003

    Article  Google Scholar 

  8. Fleck NA, Liu D (2001) Microbuckle initiation from a patch of large amplitude fibre waviness in a composite under compression and bending. Eur J Mech A Solids 20(1):23–37. https://doi.org/10.1016/S0997-7538(00)01124-4

    Article  MATH  Google Scholar 

  9. Gutkin R, Costa S, Olsson R (2016) A physically based model for kink-band growth and longitudinal crushing of composites under 3D stress states accounting for friction. Compos Sci Technol 135(27):39–45. https://doi.org/10.1016/j.compscitech.2016.09.002

    Article  Google Scholar 

  10. Zhou L, Zhao L, Liu F, Zhang J (2018) A micromechanical model for longitudinal compressive failure in unidirectional fiber reinforced composite. Results Phys 10:841–848. https://doi.org/10.1016/j.rinp.2018.08.003

    Article  Google Scholar 

  11. Vogler TJ, Kyriakides S (2001) On the initiation and growth of kink bands in fiber composites: Part I. experimental. Int J Solids Struct 38(15):2639–2651. https://doi.org/10.1016/S0020-7683(00)00174-8

    Article  MATH  Google Scholar 

  12. Lee SH, Waas AM (1999) Compressive response and failure of fiber reinforced unidirectional composites. Int J Fract 100:275–306. https://doi.org/10.1023/A:1018779307931

    Article  Google Scholar 

  13. Vogler TJ, Hsu S-Y, Kyriakides S (2001) On the initiation and growth of kink bands in fiber composites. Part II: analysis. Int J Solids Struct 38(15):2653–2682. https://doi.org/10.1016/S0020-7683(00)00175-X

    Article  MATH  Google Scholar 

  14. Bogetti TA, Staniszewski J, Burns BP, Hoppel CPR, Gillespie JW Jr, Tierney J (2012) Predicting the nonlinear response and progressive failure of composite laminates under tri-axial loading. J Compos Mater 46(19–20):2443–2459. https://doi.org/10.1177/0021998312449889

    Article  Google Scholar 

  15. Chou PC, Carleone J, Hsu CM (1972) Elastic constants of layered media. J Compos Mater 6(1):80–93. https://doi.org/10.1177/0021998372006001

    Article  Google Scholar 

  16. Bogetti TA, Hoppel CPR, Drysdale WH (1995) Three-dimensional effective property and strength prediction of thick laminated composite media. ARL-TR-911, U.S. army research laboratory, Aberdeen Proving Ground, MD, October 1995.

  17. Richard RM, Blacklock JR (1969) Finite element analysis of inelastic structures. AIAA J 7:432–438. https://doi.org/10.2514/3.5125

    Article  MATH  Google Scholar 

  18. Matsuo T, Kageyama K (2017) Compressive failure mechanism and strength of unidirectional thermoplastic composites based on modified kink band model. Compos A Appl Sci Manuf 93:117–125. https://doi.org/10.1016/j.compositesa.2016.11.018

    Article  Google Scholar 

  19. Vignoli LL, Savi MA, Pacheco PMCL, Kalamkarov AL (2020) Micromechanical analysis of longitudinal and shear strength of composite laminae. J Compos Mater 54(30):4853–4873. https://doi.org/10.1177/00219983209363

    Article  Google Scholar 

  20. Zhang D, Waas AM (2014) A micromechanics based multiscale model for nonlinear composites. Acta Mech 225:1391–1417. https://doi.org/10.1007/s00707-013-1057-1

    Article  MathSciNet  MATH  Google Scholar 

  21. Huang ZM (2001) Micromechanical prediction of ultimate strength of transversely isotropic fibrous composites. Int J Solids Struct 38(22–23):4147–4172. https://doi.org/10.1016/S0020-7683(00)00268-7

    Article  MATH  Google Scholar 

  22. Gutkin R, Pinho ST, Robinson P, Curtis PT (2011) A finite fracture mechanics formulation to predict fibre kinking and splitting in CFRP under combined longitudinal compression and in-plane shear. Mech Mater 43(11):730–739. https://doi.org/10.1016/j.mechmat.2011.08.002

    Article  Google Scholar 

  23. Kaw AK (2005) Mechanics of composite materials. Taylor & Francis, 2nd edition, 2005.

  24. Ramberg W, Osgood WR (1943) Description of stress-strain curves by three parameters. Technical Note No. 902, national advisory committee for aeronautics, Washington DC, 1943.

  25. [2f5] Siemens Digital Industries Software, Femap – Finite Element Modeling and Postprocessing, Version 2021.2 MP1

  26. MSC (2008) Software Corporation, Quick Reference Guide, MSC Nastran 2008 r1, Santa Ana, CA.

  27. Matsuo T, Kageyama K (2013). Design and manufacture of anisotropic hollow beam using thermoplastic composites. In 19th international conference on composite materials, Montreal. 28th July - 02nd August 2013.

  28. Hashin Z, Rotem A (1973) A fatigue failure criterion for fibre reinforced materials. J Compos Mater 7(4):448–464. https://doi.org/10.1177/002199837300700404

    Article  Google Scholar 

Download references

Funding

Partial financial support was received from agency CNPq (Grant 310742/2020-0).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alfredo Rocha de Faria.

Ethics declarations

Conflict of interest

The authors have no competing interests to declare that are relevant to the content of this article.

Additional information

Technical Editor: Tulio H. Panzera.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

de Faria, A.R., Arakaki, F.K. A practical technique to assess the influence of the misalignment angle of unidirectional composite fibers under compressive load. J Braz. Soc. Mech. Sci. Eng. 45, 246 (2023). https://doi.org/10.1007/s40430-023-04137-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40430-023-04137-6

Keywords

Navigation