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The Young’s moduli prediction of random distributed short-fiber-reinforced polypropylene foams using finite element method

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Abstract

The elastic moduli of short-fiber-reinforced foams depend critically on the fiber content and fiber length, as well as on the fiber orientation distribution. Based on periodic tetrakaidecahedrons, the finite element models with short-fiber reinforcement were proposed in this paper to examine the effects of the fiber content and fiber length on Young’s modulus. The fiber length distribution and fiber orientation distribution were also considered. The proposed models featured in a three-dimensional diorama with random short-fiber distribution within or on the surfaces of the walls and edges of the closed-cells of polypropylene (PP) foams. The fiber length/orientation distributions were modeled by Gaussian probability density functions. Different fiber volume fractions, different lengths, and different distributions were investigated. The predicted Young’s moduli of the PP foams with short-glass-fiber or short-carbon-fiber reinforcement were compared with other theoretic and experimental results, and the agreement was found to be satisfactory. The proposed finite element models were proved to be acceptable to predict the Young’s moduli of the grafted closed-cell PP foams with short-fiber reinforcement.

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References

  1. Clyne T W, Withers P J. An Introduction to Metal Matrix Composites. Cambridge: Cambridge University Press, 1993

    Google Scholar 

  2. Folgar F. Fiber FP/metal matrix composite connection rod: Design fabrication and performance. Ceram Eng Sci Proc, 1988, 9(7–8): 561–578

    Article  Google Scholar 

  3. Takao Y. Thermal expansion coefficients of misoriented short-fiber reinforced composites. In: Vinson J R, Taya M, eds. Recent Advance in Composites in the United States and Japan. Hampton: ASTM STP 864, 1985. 685–699

    Chapter  Google Scholar 

  4. Fu S Y, Lauke B. The elastic modulus of misaligned short-fiber reinforced polymers. Compos Sci Technol, 1988, 58(3–4): 389–400

    Google Scholar 

  5. Deng Z Y. Effect of different fiber orientations on compressive creep behavior of SiC fiber-reinforced mullite matrix composites. J Eur Ceram Soc, 1999, 19(12): 2133–2144

    Article  Google Scholar 

  6. Weale D J, White J, Walton D. Effect of fiber orientation and distribution on the tooth stiffness of a polymer composite gear. J Reinf Plast Comp, 1999(5), 18: 454–463

    Google Scholar 

  7. Gibson R F. Principles of Composite Material Mechanics. New York: McGraw-Hill, 1994

    Google Scholar 

  8. Roberts A P, Garboczi E J. Elastic properties of model random three-dimensional open-cell solids. J Mech Phys Solids, 2002, 50(1): 33–55

    Article  MATH  Google Scholar 

  9. Ji S. Generalized means as an approach for predicting Young’s moduli of multiphase materials. Mat Sci Eng A-Structure, 2004, 366(1): 195–201

    Article  Google Scholar 

  10. Li K, Gao X L, Roy A K. Micromechanics model for three-dimensional open-cell foams using a tetrakaidecahedral unit cell and Castigliano’s second theorem. Compos Sci Technol, 2003, 63(12): 1769–1781

    Article  Google Scholar 

  11. Dement’ev A G, Tarakanov O G. Effect of cellular structure on the mechanical properties of plastic foams. Polym Mech, 1970, 6(4): 519–25

    Article  Google Scholar 

  12. Zhu H X, Knott J F, Mills N J. An analysis of the elastic properties of open-cell foams with tetrakaidecahedral cells. J Mech Phys Solids, 1997, 45(3): 319–343

    Article  Google Scholar 

  13. Van der Burg M W D, Shulmeister V, Van der Geissen E, et al. On the linear elastic properties of regular and random open-cell foams models. J Cell Plast, 1997, 33(1): 31–54

    Google Scholar 

  14. Harn F E, Han F Y, Liao L Q. Young’s moduli prediction of polypropylene foams using finite element method. In: Proc 51st Int SAMPE Symposium and Exhibition. Long Beach: SAMPE, 2006. 2346–2355

    Google Scholar 

  15. Yurgartis S W. Measurement of small angle fiber misalignments in continuous fiber composites. Compos Sci Technol, 1987, 30(4): 279–293

    Article  Google Scholar 

  16. Lauke B, Fu S Y. Strength anisotropy of misaligned short- fiber-reinforced polymers. Compos Sci Technol, 1999, 59(5): 699–708

    Article  Google Scholar 

  17. Jayaraman K, Kortschot M T. Correction to the Fukuda-kawata Young’s modulus and the Fukuda Chou strength theory for short fiber-reinforced composite materials. J Mater Sci, 1996, 31(8): 2059–2064

    Article  Google Scholar 

  18. Throne J L. Thermoplastic Foams. Ohio: Sherwood Publishers, 1996

    Google Scholar 

  19. Thomason J L, Vlug M A. Influence of fiber length and concentration on the properties of glass fiber reinforced polypropylene: 1. Tensile and flexural modulus. Compos Part A-Appl S, 1996, 27(6): 477–484

    Article  Google Scholar 

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Correspondence to Bo Wang.

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Supported by the National Natural Science Foundation of China (Grant No. 50573095)

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Wang, B., Wang, R. & Wu, Y. The Young’s moduli prediction of random distributed short-fiber-reinforced polypropylene foams using finite element method. Sci. China Ser. E-Technol. Sci. 52, 72–78 (2009). https://doi.org/10.1007/s11431-008-0282-7

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  • DOI: https://doi.org/10.1007/s11431-008-0282-7

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