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Effect of the curing process on the transverse tensile strength of fiber-reinforced polymer matrix lamina using micromechanics computations

  • Royan J D’Mello
  • Marianna Maiarù
  • Anthony M WaasEmail author
Research Article
Part of the following topical collections:
  1. Integrated Computational Engineering of Composites

Abstract

The effect of the curing process on the mechanical response of fiber-reinforced polymer matrix composites is studied using a computational model. Computations are performed using the finite element (FE) method at the microscale where representative volume elements (RVEs) are analyzed with periodic boundary conditions (PBCs). The commercially available finite element (FE) package ABAQUS is used as the solver, supplemented by user-written subroutines. The transition from a continuum to damage/failure is effected by using the Bažant-Oh crack band model, which preserves mesh objectivity. Results are presented for a hexagonally packed RVE whose matrix portion is first subjected to curing and subsequently to mechanical loading. The effect of the fiber packing randomness on the microstructure is analyzed by considering multi-fiber RVEs where fiber volume fraction is held constant but with random packing of fibers. The possibility of failure is accommodated throughout the analysis—failure can take place during the curing process prior to the application of in-service mechanical loads. The analysis shows the differences in both the cured RVE strength and stiffness, when cure-induced damage has and has not been taken into account.

Keywords

Curing Stress evolution Periodic boundary condition Crack band model 

Notes

Acknowledgements

The authors thank Dr. Pascal Meyer and Dr. Christian Heinrich, of the Aerospace Engineering Department at the University of Michigan, Ann Arbor, and Prof. Pavana Prabhakar, Mechanical Engineering Department, University of Texas, El-Paso, for support with the user-defined subroutines used in the present work. The support of the Department of Aerospace Engineering, University of Michigan, Ann Arbor and the William E. Boeing Department of Aeronautics and Astronautics at the University of Washington, Seattle, is gratefully acknowledged.

References

  1. 1.
    Plepys AR, Farris RJ (1990) Evolution of residual stresses in three-dimensionally constrained epoxy resins. Polymer 31(10): 1932–1936.CrossRefGoogle Scholar
  2. 2.
    Plepys AR, Vratsanos MS, Farris RJ (1994) Determination of residual stresses using incremental linear elasticity. Composite Struct 27(1-2): 51–56.CrossRefGoogle Scholar
  3. 3.
    Merzlyakov M, McKenna GB, Simon SL (2006) Cure-induced and thermal stresses in a constrained epoxy resin. Composites: Part A 37: 585–591.CrossRefGoogle Scholar
  4. 4.
    Chekanov YA, Korotkov VN, Rozenberg BA, Dhzavadyan EA, Bogdanova LM (1995) Cure shrinkage defects in epoxy resins. Polymer 36: 2013–2017.CrossRefGoogle Scholar
  5. 5.
    Rabearison N, Jochum C h, Grandidier JC (2009) A FEM coupling model for properties prediction during the curing of any epoxy matrix. Comput Mater Sci 45(3): 715–724.CrossRefGoogle Scholar
  6. 6.
    Ahn J, Waas AM (2002) Prediction of compressive failure in laminated composites at room and elevated temperature. AIAA Journal 40(2): 346–358.CrossRefGoogle Scholar
  7. 7.
    Song S, Waas AM, Shahwan KW, Xiao X, Faruque O (2007) Braided textile composites under compressive loads: modeling the response, strength and degradation. Composite Sci Technol No. 67: 3059–3070.CrossRefGoogle Scholar
  8. 8.
    Kim K, Hahn H (1989) Residual stress development during processing of graphite/epoxy composites. Composites Sci Technol 36: 121–132.CrossRefGoogle Scholar
  9. 9.
    Li M, Zhu Q, Geubelle PH, Tucker III CL (2001) Optimal curing for thermoset matrix composites: thermochemical considerations. Polymer Composites 22: 118–131.CrossRefGoogle Scholar
  10. 10.
    Gopal AK, Adali S, Verijenko VE (2000) Optimal temperature profiles for minimum residual stress in the cure process of polymer composites. Composite Struct 48: 99–106.CrossRefGoogle Scholar
  11. 11.
    White S, Hahn H (1993) Cure cycle optimization for the reduction of processing-induced residual stresses in composite materials. J Composite Mater 27: 1352–1378.CrossRefGoogle Scholar
  12. 12.
    Halpin JC, Kardos JL (1976) Halpin-Tsai equations: a review. Polymer Eng Sci 16(5): 344–352.CrossRefGoogle Scholar
  13. 13.
    Mei Y (2000) Stress evolution in a conductive adhesive during curing and cooling. Ph.D Thesis, University of Michigan.Google Scholar
  14. 14.
    Mei Y, Yee AS, Wineman AS, Xiao C (1998) Stress evolution during thermoset cure. Mater Res Soc Symp Proc 515: 195–202.CrossRefGoogle Scholar
  15. 15.
    Heinrich C, Alridge M, Wineman AS, Kieffer J, Waas AM, Shahwan KW (2012) Generation of heat and stress during the cure of polymers used in fiber composites. Int J Eng Sci 53: 85–111.CrossRefGoogle Scholar
  16. 16.
    Kamal MR (1974) Thermoset characterization for moldability analysis. Polymer Eng Sci 14(3): 231–239.CrossRefGoogle Scholar
  17. 17.
    Li C, Potter K, Wisnom MR, Stinger G (2004) In-situ measurement of chemical shrinkage of MY750 epoxy resin by a novel gravimetric method. Composites Sci Technol 64(1): 55–64.CrossRefGoogle Scholar
  18. 18.
    Simulia (2012) Abaqus user manual, version 6.12. Dassault Systèmes, Providence, RI, USA.Google Scholar
  19. 19.
    Bažant ZP, Oh B (1983) Crack band theory for fracture of concrete. Mater Struct 16(3): 155–177.Google Scholar
  20. 20.
    Jirasek M, Bažant ZP (2002) Inelastic analysis of structures. John Wiley & Sons, London and New York.Google Scholar
  21. 21.
    Gonzalez C, Llorca J (2007) Mechanical behavior of unidirectional fiber-reinforced polymers under transverse compression: microscopic mechanisms and modeling. Composites Sci Technol 7: 2795–2806.CrossRefGoogle Scholar
  22. 22.
    Xia Z, Zhang Y, Ellyin F (2003) A unified periodical boundary conditions for representative volume elements of composites and applications. Int J Solids Struct 40: 1907–1921.CrossRefGoogle Scholar
  23. 23.
    Melro AR, Camanho PP, Pinho ST (2008) Generation of random distributions of fibers in long-fibre reinforced composites. Composites Sci Technol 68(9): 2092–2102.CrossRefGoogle Scholar
  24. 24.
    Yang L, Ying Y, Ran Z, Liu Y (2013) A new method for generating random fiber distributions for fiber reinforced composites. Composites Sci Technol 76: 14–20.CrossRefGoogle Scholar
  25. 25.
    Vaughan TJ, McCarthy CT (2010) A combined experimental-numerical approach for generating statistically equivalent fiber distributions for high strength laminated composite materials. Composite Sci Technol 70(2): 291–297.CrossRefGoogle Scholar
  26. 26.
    Romanov V, Lomov SV, Swolfs Y, Orlova S, Gorbatikh L, Verpoest I (2013) Statistical analysis of real and simulated fibre arrangements in unidirectional composites. Composite Sci Technol 87: 126–134.CrossRefGoogle Scholar
  27. 27.
    Ostoja-Starzewski M (2007) Microstructural randomness and scaling in mechanics of materials. Chapman and Hall-CRC 2007, Florida, USA.CrossRefGoogle Scholar

Copyright information

© D’Mello et al.; licensee Springer. 2015

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited.

Authors and Affiliations

  • Royan J D’Mello
    • 1
    • 2
  • Marianna Maiarù
    • 1
    • 2
  • Anthony M Waas
    • 1
    • 2
    Email author
  1. 1.Composite Structures Laboratory, Department of Aerospace EngineeringUniversity of MichiganAnn Arbor, MIUSA
  2. 2.William E. Boeing Department of Aeronautics and AstronauticsUniversity of WashingtonSeattle, WAUSA

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