Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-25T15:23:42.705Z Has data issue: false hasContentIssue false

The Strength of Fibres in All-Ceramic Composites

Published online by Cambridge University Press:  25 February 2011

Kevin Kendall
Affiliation:
ICI New Science Group, P.O. Box 11, The Heath Runcorn, Cheshire, UK.
N. Mcn. Alford
Affiliation:
ICI New Science Group, P.O. Box 11, The Heath Runcorn, Cheshire, UK.
J. D. Birchall
Affiliation:
ICI New Science Group, P.O. Box 11, The Heath Runcorn, Cheshire, UK.
Get access

Abstract

When considering the strength of a fibre reinforced ceramic composite, it is often assumed that the fibres retain their full strength of several GPa after cracking of the weaker matrix. The strength of the composite after matrix cracking is then calculated by the rule of mixtures as the product of fibre volume fraction and fibre strength. This paper demonstrates that such a calculation is not consistent with the principles of fracture mechanics for an isolated fibre embedded in an elastic matrix of the same elastic modulus, because the strength of the fibre is much reduced by the stress concentration arising from the matrix crack. Experimental measurements of the strength of a glass fibre embedded in a brittle matrix support the theory. The case of a fibre in a matrix of different elastic modulus is also considered, together with the proDlem of cracking along the fibre-matrix interface.

Type
Articles
Copyright
Copyright © Materials Research Society 1987

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. McDanels, D. L., Jech, R. W. and Weeton, J. W., Metal Prog. 78 (6), 118 (1960)Google Scholar
2. Kelly, A. and Davies, G. J., Metall. Rev. 10, 1 (1965)Google Scholar
3. Kelly, A., Strong Solids, (Clarendon Press, Oxford 1966), p.140 Google Scholar
4. Hull, D., An introduction to composite materials (Cambridge University Press, Cambridge 1981) p.127 Google Scholar
5. Griffith, A. A., Phil. Trans. R. Soc. Lond. A 221, 163 (1920)Google Scholar
6. Sack, R. A., Proc. Phys. Soc. 58, 729 (1946)Google Scholar
7. Sneddon, I. N., Proc. R. Soc. Lond., A 187, 229 (1946)Google Scholar
8. Boussinesq, J., Application des Potentiels à l'etude de l' équilibre et du mouvement des solids élastigues (Gauthier-Villars, Paris 1885).Google Scholar
9. Benthem, J. P. and Koiter, W. T., Mechanics of Fracture Vol.1 edited by Sih, G. C. (Noordhof, Leyden 1973) p.151 Google Scholar
10. Kendall, K., J. Mater. Sci. Letters, 2, 115 (1983)CrossRefGoogle Scholar
11. Lamicq, P L, Bernhart, E A, Dauchier, M M and Mace, J G, Am. Ceram. Soc. Bull. 65, 336 (1986)Google Scholar
12. Sambell, R. A., Bowen, D. and Phillips, D.C., J. Mater. Sci. 7, 663 (1972).Google Scholar
13. Kendall, K., MRS Symposium Proceedings, Vol 40 (eds. Tu, Giess and Uhlmann, ) (MRS Pittsburgh 1985) 167 Google Scholar
14. Kendall, K., Proc. R. Soc. Lond. A 341, 409 (1975).Google Scholar
15. Birchall, J. D., Howard, A. J. and Kendall, K., Nature 289, 388 (1981).Google Scholar
16. Kendall, K., Howard, A. J. and Birchall, J. D., Phil. Trans. R. Soc. Lond. A 310 139 (1983)Google Scholar
17. Mouginot, R. and Maugis, D., J. Mater. Sci. 20, 4354 (1985).CrossRefGoogle Scholar
18. Kendall, K. Proc. R. Soc. Lond., A 344, 287 (1975)Google Scholar