Skip to main content

Theory of multiple fracture of fibrous composites

Abstract

The theoretical stress-strain behaviour of a composite with a brittle matrix in which the fibre-matrix bond remains intact after the matrix has cracked, is described. From a consideration of the maximum shear stress at the fibre-matrix interface, the extent of fibre debonding and the crack spacing in a partially debonded composite are derived. The energetics of cracking and the conditions leading to an enhanced matrix failure strain are then discussed and, finally, the crack spacing expected in composites containing fibres isotropically arranged in two or in three dimensions is derived for the case of very thin and hence very flexible fibres.

This is a preview of subscription content, access via your institution.

References

  1. J. Aveston, G. A. Cooper, and A. Kelly, “The Properties of Fibre Composites”, Conference Proceedings, National Physical Laboratory (IPC Science and Technology Press Ltd, 1971) Paper I, p. 15.

  2. H. G. Allen, J. Comp. Mat. 5 (1971) 194.

    Google Scholar 

  3. A. Majumdar, Proc. Roy. Soc. A319 (1970) 69.

    Google Scholar 

  4. H. G. Allen, “The Properties of Fibre Composites”, Conference Proceedings, National Physical Laboratory, (IPC Science and Technology Press Ltd, 1971) p. 25.

  5. J. Aveston, ibid, Paper 5, p. 63.

  6. P. Hing and G. W. Groves, J. Mater. Sci. 7 (1972) 367.

    Google Scholar 

  7. G. A. Cooper and J. M. Sillwood, ibid 7 (1972) 325.

    Google Scholar 

  8. H. L. Cox, Brit. J. Appl. Phys. 3 (1952) 72.

    Google Scholar 

  9. H. G. Allen, J. Phys. D: Appl. Phys. 5 (1972) 331.

    Google Scholar 

  10. V. Laws, ibid 5 (1971) 1737.

    Google Scholar 

  11. G. E. Smith and A. J. M. Spencer, J. Mech. Phys. Solids 18 (1970) 81.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Aveston, J., Kelly, A. Theory of multiple fracture of fibrous composites. J Mater Sci 8, 352–362 (1973). https://doi.org/10.1007/BF00550155

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00550155

Keywords

  • Polymer
  • Shear Stress
  • Brittle
  • Maximum Shear Stress
  • Failure Strain