Advertisement

Journal of Materials Science

, Volume 29, Issue 7, pp 1801–1806 | Cite as

Consideration of radial dependences of axial stresses in the shear-lag model for fibre pull-out

  • C. -H. Hsueh
Papers

Abstract

The shear-lag model has been used extensively to analyse stress transfer during single-fibre pull-out. To achieve analytical solutions, the radial dependences of the axial stresses in the fibre and the matrix are generally ignored in the shear-lag model. The present study considered these radial dependence in the shear-lag model. The differences between the predictions obtained by ignoring these radial dependences, considering the radial dependence of the axial stress in the fibre only, considering the radial dependence of the axial stress in the matrix only, and considering both radial dependences, have been addressed.

Keywords

Polymer Material Processing Axial Stress Stress Transfer Radial Dependence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. G. Evans and R. M. McMeeking, Acta Metall. 34 (1986) 2435.CrossRefGoogle Scholar
  2. 2.
    P. F. Becher, C. H. Hsueh, P. Angelini and T. N. Tiegs, J. Am. Ceram. Soc. 71 (1988) 1050.CrossRefGoogle Scholar
  3. 3.
    E. P. Butler, E. R. Fuller Jr and H. M. Chan, in “MRS Symposium Proceedings: Tailored Interfaces in Composite Materials”, edited by C. G. Pantano and E. J. Chen, (Materials Research Society, Pittsburgh, PA, 1990) pp. 17–24.Google Scholar
  4. 4.
    J. D. Bright, S. Danchaivijit and D. K. Shetty, J. Am. Ceram. Soc. 74 (1991) 115.CrossRefGoogle Scholar
  5. 5.
    A. Takaku and R. G. C. Arridge, J. Phys. D Appl. Phys. 6 (1973) 2038.CrossRefGoogle Scholar
  6. 6.
    P. Lawrence, J. Mater. Sci. 7 (1972) 1.CrossRefGoogle Scholar
  7. 7.
    C. H. Hsueh, Mater. Sci Eng. A123 (1990) 1.CrossRefGoogle Scholar
  8. 8.
    Y. C. Gao, Y. W. Mai and B. Cotterell, J. Appl. Math. Phys. (ZAMP) 39 (1988) 550.CrossRefGoogle Scholar
  9. 9.
    J. P. Outwater and M. C. Murphy, in “Proceedings of the 24th Annual Technical Conference of Reinforced Plastic/Composites Division”. (The Society of the Plastics Industry Inc., Composites Division, New York, 1969). Paper 11c.Google Scholar
  10. 10.
    J. W. Hutchinson and H. M. Jenson, Mech. Mater. 9 (1990) 139.CrossRefGoogle Scholar
  11. 11.
    H. L. Cox, Br. J. Appl. Phys. 3 (1952) 72.CrossRefGoogle Scholar
  12. 12.
    M. R. Piggott, “Load Bearing Fibre Composites” (Pergamon Press, Elmsford, NY, 1980) p. 62.CrossRefGoogle Scholar
  13. 13.
    B. Budiansky, J. W. Hutchinson and A. G. Evans, J. Mech. Phys. Solids 34 (1986) 167.CrossRefGoogle Scholar
  14. 14.
    D. K. Shetty, J. Am. Ceram. Soc. 71 (1988) C107.CrossRefGoogle Scholar
  15. 15.
    C. H. Hsueh, J. Mater. Sci. Lett. 7 (1988) 497.CrossRefGoogle Scholar
  16. 16.
    Idem, J. Am. Ceram. Soc. 71 (1988) 490.CrossRefGoogle Scholar
  17. 17.
    R. J. Kerans and T. A. Parthasarathy, ibid. 74 (1991) 1585.CrossRefGoogle Scholar
  18. 18.
    C. H. Hsueh, Mater. Sci. Eng. A154 (1992) 125.CrossRefGoogle Scholar
  19. 19.
    C. Atkinson, J. Avila, E. Betz and R. E. Semlser, J. Mech. Phys. Solids 30 (1982) 97.CrossRefGoogle Scholar
  20. 20.
    A. R. Zak and M. L. Williams, J. Appl. Mech. 30 (1963) 142.CrossRefGoogle Scholar
  21. 21.
    A. R. Zak, ibid. 31 (1964) 150.CrossRefGoogle Scholar
  22. 22.
    D. H. Grande, J. F. Mandell and K. C. C. Hong, J. Mater. Sci. 23 (1988) 311.CrossRefGoogle Scholar
  23. 23.
    L. N. McCartney, Proc. R. Soc. Lond. A425 (1989) 215.CrossRefGoogle Scholar
  24. 24.
    C. H. Hsueh, J. Mater. Sci. Lett. 11 (1992) 1663.CrossRefGoogle Scholar
  25. 25.
    R. Muki and E. Sternberg, Int. J. Solids Struct. 6 (1970) 69.CrossRefGoogle Scholar
  26. 26.
    S. P. Timoshenko and J. N. Goodier, “Theory of Elasticity” (McGraw-Hill, New York, 1951) p. 380.Google Scholar
  27. 27.
    M. C. Watson and T. W. Clyne, Acta Metall. Mater. 40 (1992) 141.CrossRefGoogle Scholar
  28. 28.
    J. K. Kim, C. Baillie and Y. W. Mai, J. Mater. Sci. 27 (1992) 3143.CrossRefGoogle Scholar
  29. 29.
    C. H. Hsueh, Mater. Sci. Eng. A145 (1991) 135.CrossRefGoogle Scholar
  30. 30.
    Idem, ibid. A145 (1991) 143.CrossRefGoogle Scholar

Copyright information

© Chapman & Hall 1994

Authors and Affiliations

  • C. -H. Hsueh
    • 1
  1. 1.Metals and Ceramics DivisionOak Ridge National LaboratoryOak RidgeUSA

Personalised recommendations