Advertisement

Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Computer model for the elastic properties of short fibre and particulate filled polymers

Abstract

A finite difference type of approach is proposed for the study of the elastic properties of fibre and particulate reinforced composites. The effects of the fibre modulusE 1 and aspect ratio (I/d) on the composite modulus are studied. In that respect, the ratio (E1/Em/(I/d), whereE m is the matrix modulus, is shown to be an important index of short fibre composites. Our results for the dependence of the composite modulus onE 1,I/d and volume fraction of the fibres are compared to available experimental data on foams and particulate filled polymers. A good agreement with experiment is found, which is much better than that obtained with the help of the widely used semi-empirical Halpin-Tsai equation.

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

References

  1. 1.

    S. McGee andR. L. McCullough,Polymer Comp. 2 (1981) 149.

  2. 2.

    A. A. Berlin, S. A. Volfson, N. S. Enikolopian andS. S. Negmatov, “Principles of Polymer Composites” (Springer Verlag, Berlin, 1986).

  3. 3.

    Y. Termonia,J. Mater. Sci. 22 (1987) 504.

  4. 4.

    J. C. Halpin andJ. L. Kardos,Pol. Eng. Sci. 16 (1976) 344.

  5. 5.

    R. A. Larder andC. W. Beadle,J. Compos. Mater. 10 (1976) 21.

  6. 6.

    H. Fukuda andK. Kawata,Fibre Sci. Technol. 7 (1974) 207.

  7. 7.

    J. C. Smith,J. Res. Nat. Bur. Stand. 80A (1976) 45.

  8. 8.

    T. G. Richard,J. Comp. Mat. 9 (1975) 108.

  9. 9.

    O. Ishai andL. J. Cohen,Int. J. Mech. Sci. 9 (1967) 539.

  10. 10.

    S. Y. Hobbs,J. Cell. Plast. 12 (1976) 258.

  11. 11.

    S. Baxter andT. T. Jones,Plast. Polym. 40 (1972) 69.

  12. 12.

    D. R. Moore, H. K. Couzens andM. J. Iremonger,J. Cell. Plast. 10 (1974) 135.

  13. 13.

    R. C. Progelhof andJ. L. Throne,Poly. Eng. Sci. 19 (1979) 493.

  14. 14.

    Y. Termonia, P. Meakin andP. Smith,Macromolecules 18 (1985) 2246.

  15. 15.

    Idem, ibid. 19 (1986) 154.

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Termonia, Y. Computer model for the elastic properties of short fibre and particulate filled polymers. J Mater Sci 22, 1733–1736 (1987). https://doi.org/10.1007/BF01132399

Download citation

Keywords

  • Polymer
  • Experimental Data
  • Foam
  • Aspect Ratio
  • Computer Model