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Strain rate dependent failure criteria for fibrous composites using multiscale approach

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Recently, a set of failure criteria based on a multiscale model was developed for fibrous composites. Those criteria used stresses and strains occurring in the fiber and matrix material level. The failure criteria consisted of three failure modes such as fiber failure, matrix failure, and fiber/matrix interface failure. Those criteria were developed for quasi-static loading such that the effect of the strain rate was not under consideration. To model and predict failure of composite materials and structures subjected to dynamic loading, the effect of strain rate needs to be included in the failure criteria. The present work is to revise the former criteria to be applicable to the strain rate dependent composite materials, especially polymer composites. To validate the revised failure criteria, Charpy impact testing as well as quasi-static uniaxial testing were conducted. The test results agreed well with predicted failure loads using the new failure criteria.

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  1. Abaqus 6.13 User Manual (2015) Dassault Systemes Inc

  2. Daniel IM, Werner BT, Fenner JS (2011) Strain-rate-dependent failure criteria for composites. Compos Sci Technol 71(3):357–364

  3. Daniel IM, Daniel SM, Fenner JS (2017) A new yield and failure theory for composite materials under static and dynamic loading. Rajapakse YDS (ed) Marine composites and sandwich structures. Office of Naval Research Solid Mechanics Program, pp 217–226

  4. Hashin Z (1980) Failure criteria for unidirectional fiber composites. J Appl Mech 47(2):329–334

  5. Hinton M, Kaddour A, Soden P (eds) (2004) Failure criteria in fibre reinforced polymer composites: the world-wide failure exercise. Elsevier, Amsterdam

  6. Hsiao HM, Daniel IM (1998) Strain rate behavior of composite materials. Compos Part B Eng 29(5):521

  7. Hütter U, Schelling H, Krauss H (1974) An experimental study to determine failure envelope of composite materials with tubular specimens under combined loads and comparison between several classical criteria. In: NATO AGARD conference proceedings, vol 163, pp 3.1–3.11

  8. Jacob GC, Starbuck JM, Fellers JF, Boeman RG (2004) Strain Rate effects on the mechanical properties of polymer composite materials. J Appl Polym Sci 94(1):296–301

  9. Kwon YW (2016) Multiphysics and multiscale modeling: techniques and applications. CRC Press, Boca Raton

  10. Kwon YW, Darcy J (2018a) Failure criteria for fibrous composites based on multiscale modeling. Multiscale Multidiscip Model Exp Des 1(1):3–17

  11. Kwon YW, Darcy J (2018b) Further discussion on newly developed failure criteria for fibrous composites. Multiscale Multidiscipl Model Exp Des 1(4):307–316

  12. Kwon YW, Kim C (1998) micromechanical model for thermal analysis of particulate and fibrous composites. J Therm Stress 21:21–39

  13. Kwon YW, Park MS (2013) Versatile micromechanics model for multiscale analysis of composite structures. Appl Compos Mater 20(4):673–692

  14. Kwon YW, Ponshock T, Molitoris JD (2016) Failure loading of metallic and composite cylinders under internal pressure loading. ASME J Press Vessel Technol 138(6):060909

  15. Park MS, Kwon YW (2013) Elastoplastic micromechanics model for multiscale analysis of metal matrix composite structures. Comput Struct 123:28–38

  16. Sierakowski RL (1997) Strain rate effects in composites. Appl Mech Rev 50(12):741–759

  17. Sun C, Quinn B, Tao J, Oplinger D (1996) Comparative evaluation of failure analysis methods for composite laminates. Purdue University, School of Aeronautics and Astronautics, DOT/FAA/AR-95/109

  18. Swanson S, Messick M, Tian Z (1987) Failure of carbon/epoxy lamina under combined stress. J Compos Mater 21(7):620–629

  19. Tsai SW, Wu EM (1971) A general theory of strength for anisotropic materials. J Compos Mater 5(1):58–80

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Dr. Chanman Park provided technical supports for the experimental testing. This work was supported by Office of Naval Research (ONR), and the Program Manager is Dr. Yapa Rajapakse.

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Correspondence to Y. W. Kwon.

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Kwon, Y.W., Panick, C.J. Strain rate dependent failure criteria for fibrous composites using multiscale approach. Multiscale and Multidiscip. Model. Exp. and Des. 3, 11–22 (2020). https://doi.org/10.1007/s41939-019-00055-0

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  • Failure criteria
  • Fibrous composite material
  • Strain rate effect
  • Multiscale analysis
  • Polymer composite