No CrossRef data available.
Article contents
An application of random packing to the multiple fracture of composite materials
Part of:
Special processes
Published online by Cambridge University Press: 14 July 2016
Abstract
A one-dimensional packing approach is used to obtain limiting results for inter-crack distances after multiple fracture of a long brittle-matrix composite with continuous aligned fibres. The results may also be appropriate for applications of the Rényi car-parking model in which there is a reduced probability of cars parking bumper to bumper.
MSC classification
- Type
- Short Communications
- Information
- Copyright
- Copyright © Applied Probability Trust 1994
References
Abramowitz, M. and Stegun, I. A., (Eds) (1972) Handbook of Mathematical Functions. Dover, New York.Google Scholar
Dunstan, D. J., Young, S. and Dixon, R. H. (1991) Geometrical theory of critical thickness and relaxation in strained-layer growth. J. Appl. Phys. 70, 3038–3045.CrossRefGoogle Scholar
Feller, W. (1966) An Introduction to Probability Theory and Its Applications, Vol. 2. Chichester: Wiley.Google Scholar
Kimber, A. C. and Keer, J. G. (1982) On the theoretical average crack spacing in brittle matrix composites. J. Mater. Sci. Lett. 1, 353–354.Google Scholar
Komaki, F. and Itoh, Y. (1992) A unified model for Kakutani's interval splitting and Renyi's random packing. Adv. Appl. Prob.
24, 502–505.Google Scholar
Rényi, A. (1958) On a one-dimensional problem concerning random space-filling problem. Publ. Math. Inst. Hungar. Acad. Sci. 3, 109–127.Google Scholar
Solomon, H. and Weiner, H. (1986) A review of the packing problem. Commun. Statist.-Theory Methods, 15, 2571–2607.Google Scholar