Journal of Materials Science

, Volume 20, Issue 11, pp 4075–4083 | Cite as

Hardening non-linear behaviour in longitudinal tension of unidirectional carbon composites

  • Takashi Ishikawa
  • Masamichi Matsushima
  • Youichi Hayashi
Papers

Abstract

Uniaxial tensile tests of unidirectional carbon-epoxy coupons are conducted in the longitudinal direction. It is observed that the longitudinal modulus increases with axial stress or strain up to the intermediate level of tension. A fractional constitutive relation with a quadratic denominator is derived by the method of the theory of non-linear elasticity. This equation adopting the estimated higher-order compliance coefficients exhibits an excellent agreement with the experimental results. An empirical strain-based equation is also proposed as a simpler alternative. Averaging formulae for both types of relation are provided for a practical application. The present phenomenon includes the behaviour in a low-stress region discovered by some early work. The consideration of the present non-linear behaviour improves the correlation between theory and experiments in stress-strain relationships of fabric composites with carbon fibres.

Keywords

Tensile Test Carbon Fibre Constitutive Relation Axial Stress Uniaxial Tensile 

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References

  1. 1.
    K. Isogai, Proceedings of the 21st Aircraft Symposium, Japan Society of Aeronautical and Space Sciences, November 1983, p. 28 (in Japanese).Google Scholar
  2. 2.
    J. Nakamichi, Y. Noguchi andT. Ishikawa, Technical Report of National Aerospace Laboratory, NAL TR-825, July 1984 (in Japanese).Google Scholar
  3. 3.
    Toray Co. Ltd., “Technical Data of Carbon Fibre and Its Composites”, CF02R2 (Toray Co. Ltd, Nihonbashi, Tokyo, 1982).Google Scholar
  4. 4.
    T. Ishikawa, M. Matsushima andY. Hayashi, Proceedings of the 25th Structure and Strength of Materials Conference, Japan Society of Aeronautical and Space Sciences, July 1983, p. 166, (in Japanese).Google Scholar
  5. 5.
    G. J. Curtis, J. M. Milne andW. N. Reynolds,Nature 220 (1968) 1024.Google Scholar
  6. 6.
    W. H. M. Van Dreumel andJ. L. M. Kamp,J. Compos. Mater. 11 (1977) 461.Google Scholar
  7. 7.
    H. Fukunaga, PhD thesis, Tokyo University, 1979 (in Japanese).Google Scholar
  8. 8.
    K. Kamimura, B. Yoon andF. X. De Charentenay, Proceedings of 4th International SAMPE European Chapter Conference, October 1983, p. 127.Google Scholar
  9. 9.
    H. T. Hahn andS. W. Tsai,J. Compos. Mater. 7 (1973) 102.Google Scholar
  10. 10.
    H. T. Hahn,ibid. 7 (1973) 257.Google Scholar
  11. 11.
    A. E. Green andJ. E. Adkins, “Large Elastic Deformation and Non-Linear Continuum Mechanics” (Oxford University Press, London, 1960).Google Scholar
  12. 12.
    J. H. Starnes, Jr, N. F. Knight, Jr. andM. Rouse, Proceedings of the 23rd AIAA Structures, Structural Dynamics and Materials Conference, New Orleans, May 1982, p. 464.Google Scholar
  13. 13.
    T. Ishikawa andT.-W. Chou,J. Mater. Sci. 17 (1982) 3211.Google Scholar
  14. 14.
    M. S. Anderson andW. J. Stroud,AIAA J. 17 (1979) 892.Google Scholar
  15. 15.
    S. Kobayashi andT. Ishikawa,Fukugo Zairyo Kenkyu (Composite Materials and Structures)3 (1974) 12.Google Scholar
  16. 16.
    T. Ishikawa andT.-W. Chou,J. Compos. Mater. 17 (1983) 399.Google Scholar
  17. 17.
    S. W. Tsai, “Strength Characteristics of Composite Materials”, NASA Contractor Report CR-224 (1965).Google Scholar
  18. 18.
    R. M. Jones, “Mechanics of Composite Materials” (Scripta, Washington, DC, 1975).Google Scholar
  19. 19.
    Y. C. Fung, “Foundations of Solid Mechanics”, (Prentice-Hall, Englewood Cliffs, NJ, 1965).Google Scholar
  20. 20.
    R. M. Jones, “Stress-Strain Relations for Materials with Different Moduli in Tenions and Compression”, AIAA Journal, Vol 15, Jan. 1977, p. 16.Google Scholar

Copyright information

© Chapman and Hall Ltd 1985

Authors and Affiliations

  • Takashi Ishikawa
    • 1
  • Masamichi Matsushima
    • 1
  • Youichi Hayashi
    • 1
  1. 1.First Airframe DivisionNational Aerospace LaboratoryTokyoJapan

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