Advanced Composite Materials

  • 제18권1호
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  • Pages.77-93
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  • 2009
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  • 0924-3046(pISSN)
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  • 1568-5519(eISSN)
한국복합재료학회 (The Korean Society for Composite Materials)
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Periodic-Cell Simulations for the Microscopic Damage and Strength Properties of Discontinuous Carbon Fiber-Reinforced Plastic Composites

  • Nishikawa, M. (Department of Aeronautics and Astronautics, The University of Tokyo) ;
  • Okabe, T. (Department of Aerospace Engineering, Tohoku University) ;
  • Takeda, N. (Department of Advanced Energy, The University of Tokyo)
  • 투고 : 2008.11.24
  • 심사 : 2008.11.29
  • 발행 : 2009.03.01
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초록

This paper investigated the damage transition mechanism between the fiber-breaking mode and the fiber-avoiding crack mode when the fiber-length is reduced in the unidirectional discontinuous carbon fiber-reinforced-plastics (CFRP) composites. The critical fiber-length for the transition is a key parameter for the manufacturing of flexible and high-strength CFRP composites with thermoset resin, because below this limit, we cannot take full advantage of the superior strength properties of fibers. For this discussion, we presented a numerical model for the microscopic damage and fracture of unidirectional discontinuous fiber-reinforced plastics. The model addressed the microscopic damage generated in these composites; the matrix crack with continuum damage mechanics model and the fiber breakage with the Weibull model for fiber strengths. With this numerical model, the damage transition behavior was discussed when the fiber length was varied. The comparison revealed that the length of discontinuous fibers in composites influences the formation and growth of the cluster of fiber-end damage, which causes the damage mode transition. Since the composite strength is significantly reduced below the critical fiber-length for the transition to fiber-avoiding crack mode, we should understand the damage mode transition appropriately with the analysis on the cluster growth of fiber-end damage.

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참고문헌

  1. J. F. Mandell, D. D. Huang and F. J. McGarry, Crack propagation modes in injection molded fiber reinforced thermoplastics, in: Short Fiber Reinforced Composite Materials, ASTM STP772, B. A. Sanders (Ed.), pp. 3–32. American Society for Testing and Materials (1982)
  2. H. Fukuda and T. W. Chou, A probabilistic theory for the strength of short fibre composites, J. Mater. Sci. 16, 1088–1096 (1981) https://doi.org/10.1007/BF00542756
  3. H. Fukuda and T. W. Chou, A probabilistic theory of the strength of short-fibre composites with variable fibre length and orientation, J. Mater. Sci. 17, 1003–1011 (1982) https://doi.org/10.1007/BF00543519
  4. M. Ibnabdeljalil and S. L. Phoenix, Scalings in the statistical failure of brittle matrix composites with discontinuous fibers - I. Analysis and Monte Carlo simulations, Acta Metallurgica et Materialia 43, 2975–2983 (1995) https://doi.org/10.1016/0956-7151(95)00017-P
  5. J. M. Numeister, A constitutive law for continuous fiber reinforced brittle matrix composites with fiber fragmentation and stress recovery, J. Mech. Phys. Solid. 41, 1383–1404 (1993) https://doi.org/10.1016/0022-5096(93)90085-T
  6. J. M. Duva, W. A. Curtin and H. N. G. Wadley, An ultimate tensile strength dependence on processing for consolidated metal matrix composites, Acta Metall. Mater. 43, 1119–1126 (1995) https://doi.org/10.1016/0956-7151(94)00309-6
  7. T. Okabe and N. Takeda, Elastoplastic shear-lag analysis of single-fiber composites and strength prediction of unidirectional multi-fiber composites, Composites A 33, 1327–1335 (2002) https://doi.org/10.1016/S1359-835X(02)00170-7
  8. M. Nishikawa, T. Okabe and N. Takeda, Determination of interface properties from experiments on the fragmentation process in single-fiber composites, Mater. Sci. Eng. A 480, 549–557 (2008) https://doi.org/10.1016/j.msea.2007.07.067
  9. M. Nishikawa, T. Okabe, N. Takeda and W. A. Curtin, Micromechanics of the fragmentation process in single-fiber composites, Model. Simulat. Mater. Sci. Eng. 16, 055009 (2008) https://doi.org/10.1088/0965-0393/16/5/055009
  10. T. Okabe, M. Nishikawa, N. Takeda and H. Sekine, Effect of matrix hardening on tensile strength of alumina-fiber reinforced aluminum matrix composites, Acta Mater. 54, 2557–2566 (2006) https://doi.org/10.1016/j.actamat.2006.01.044
  11. T. Okabe and N. Takeda, Estimation of strength distribution for a fiber embedded in a single-fiber composite: experiments and statistical simulation based on the elastic–plastic shear-lag approach, Compos. Sci. Technol. 61, 1789–1800 (2001) https://doi.org/10.1016/S0266-3538(01)00080-X
  12. G. Xu, A. F. Bower and M. Ortiz, The influence of crack trapping on the toughness of fiber reinforced composites, J. Mech. Phys. Solid. 46, 1815–1833 (1998) https://doi.org/10.1016/S0022-5096(98)00059-3
  13. M. Nishikawa, Multiscale modeling for the microscopic damage and fracture of fiber-reinforced plastic composites, Doctor Thesis, Department of Aeronautics and Astronautics, The University of Tokyo (2008) (in Japanese)
  14. B. Fiedler, M. Hojo, S. Ochiai, K. Schulte and M. Ando, Failure behavior of an epoxy matrix under different kinds of static loading, Compos. Sci. Technol. 61, 1615–1624 (2001) https://doi.org/10.1016/S0266-3538(01)00057-4
  15. S. Kobayashi, D. Tomii and K. Shizawa, A modelling and simulation on failure prediction of ductile polymer based on craze evolution and annihilation, Trans. Jpn. Soc. Mech. Eng. A 70, 810–817 (2004) (in Japanese)
  16. S. Murakami and N. Ohno, A continuum theory of creep and creep damage, in: Creep in Structures, A. R. S. Ponter and D. R. Hyhurs (Eds), pp. 422–444. Springer-Verlag (1981)
  17. A. L. Gurson, Continuum theory of ductile rupture by void nucleation and growth: Part I—Yield criteria and flow rules for porous ductile media, Trans. ASME - J. Eng. Mater. Technol. 99, 2–15 (1977) https://doi.org/10.1115/1.3443522
  18. M. Nishikawa, T. Okabe, K. Hemmi and N. Takeda, Micromechanical modeling of the microbond test to quantify the interfacial properties in fiber-reinforced composites, Int. J. Solid Struct. 45, 4098–4113 (2008) https://doi.org/10.1016/j.ijsolstr.2008.02.021
  19. K. Matous and P. H. Geubelle,Multiscale modeling of particle debonding in reinforced elastomers subjected to finite deformations, Int. J. Numer. Meth. Eng. 65, 190–223 (2006) https://doi.org/10.1002/nme.1446
  20. N. Ohno, D. Okumura and H. Noguchi, Microscopic symmetric bifurcation analysis for cellular solids based on a homogenization theory of finite deformation (1st report, theory), Trans. Jpn. Soc. Mech. Eng. A 67, 618–624 (2001) (in Japanese)
  21. T. Okabe, H. Sekine, K. Ishii, M. Nishikawa and N. Takeda, Numerical method for failure simulation of unidirectional fiber-reinforced composites with spring element model, Compos. Sci. Technol. 65, 921–933 (2005) https://doi.org/10.1016/j.compscitech.2004.10.030