Analysis of fragmentation in the single filament composite: Roles of fiber strength distributions and exclusion zone models

Journal of the Mechanics and Physics of Solids

Volumn 44, Issue 10, 1996, Pages 1715-1737

  Hui, C Y ^a   Phoenix, S L ^a   Kogan, L ^a,b  

^a Department of Obstetrics Gynecology   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

A, fracture mechanisms; B, fiber reinforced composite material; C, probability and statistics

Indexed keywords

FRACTURE MECHANICS; INTERFACES (MATERIALS); MATERIALS TESTING; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PROBABILITY; STATISTICS; STRENGTH OF MATERIALS; STRESS ANALYSIS;

EXCLUSION ZONE MODELS; FIBER STRENGTH DISTRIBUTION; FLAW STRENGTH; FRAGMENTATION; POISSON PROCESS; SINGLE FILAMENT COMPOSITE;

FIBER REINFORCED MATERIALS;

EID: 0030269588     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/0022-5096(96)00045-2     Document Type: Article

References (25)

1. Aksel, B., Lagoudas, D. C. and Hui, C.-Y. (1991) Effects of a frictional interface on the load diffusion from a broken filament embedded in an elastic medium. Int. J. Solids Structures 27, 833-847.
2. Aveston, J., Cooper, G. A. and Kelly, A. (1971) Single and multiple fracture: The properties of fiber composites. Conference Proceedings, National Physical Laboratory, Guildford, U.K., The Properties of Fibre Composites, pp. 15-26. IPC Science and Technology Press, Ltd. Teddington, U.K.
3. Budiansky, B., Hutchinson, J. W. and Evans, A. G. (1986) Matrix fracture in fiber-reinforced ceramics. J. Mech. Phys. Solids 34, 167-189.
4. Cox, H. L. (1952) The elasticity and strength of paper. Br. J. Appl. Phys. 3, 73-79.
5. Curtin, W. A. (1991). Exact theory of fibre fragmentation in a single-filament composite. J. Mater. Sci. 26, 5239-5253.
6. Dollar, A. and Steif, P. S. (1988) Load transfer in composites with a Coulomb friction interface. Int. J. Solids Structures 24, 789-803.
7. Du, Z.-Z. and McMeeking, R. M. (1996) Creep models for metal matrix composites with long brittle fibers. J. Mech. Phys. Solids, to appear.
8. Fraser, W. A., Ancker, F. H., DiBenedetto, A. T. and Elbirli, B. (1983) Evaluation of surface treatments for fibers in composite materials. Polym. Compos. 4, 238-249.
9. Gulino, R. and Phoenix, S. L. (1991) Weibull strength statistics for graphite fibers measured from the break progression in a model graphite/glass/epoxy microcomposite. J. Mater. Sci. 26, 3107-3118.
10. Henstenburg, R. B. and Phoenix, S. L. (1989) Interfacial shear strength studies using the single-filament-composite test. Part II : a probability model and Monte Carlo simulation. Polym. Compos. 10, 389-408.
11. Hui, C.-Y., Phoenix, S. L., Ibnabdeljalil, M. and Smith, R. L. (1995) As exact closed form solution for fragmentation of Weibull fibers in a single filament composite with application to fiber reinforced ceramics. J. Mech. Phys. Solids 43, 1551-1585.
12. Ibnabdeljalil, M. and Phoenix, S. L. (1995) Scalings in the statistical failure of brittle matrix composites with discontinuous fibers ; analysis and Monte Carlo simulations. Acta Metall. Mater. 43, 2975-2983.
13. Kimber, A. C. and Keer, J. G. (1982) On the theoretical average crack spacing in brittle matrix composites containing continuous aligned fibres. J. Mater. Sci. Lett. 1, 353-354.
14. Mason, D. D., Hui, C.-Y. and Phoenix, S. L. (1992) Stress profiles around a fiber break in a composite with a nonlinear, power law creeping matrix. Int. J. Solids Structures 29, 2829-2854.
15. MacKenzie, J. K. (1962) Sequential filling of a line by intervals placed at random and its application to linear absorption, J. Chem. Phys. 37, 723-728.
16. McLean, M. (1985) Creep deformation of metal matrix composite. Compos. Sci. Technol. 23, 37-49.
17. Nairn, J. A. (1992) A variational mechanics analysis of the stresses around breaks in embedded fibers. Mech. Mater. 13, 131-154.
18. Netravali, A. N., Henstenburg, R. B., Phoenix, S. L. and Schwartz, P. (1989) Interfacial shear strength studies using the single-filament-composite test. Part I : Experiments on graphite fibers in epoxy. Polym. Compos. 10, 226-241.
19. Rao, V. and Drzal, L. T. (1991) The dependence of interfacial shear strength on matrix and interphase properties. Polym. Compos. 12, 48-56.
20. Rényi, A. (1958) On a one-dimensional problem concerning random space filling. Magy. Tud. Akad. Matematikai Kut. Intéz. Kozl. (Budapest) 3, 109-127; see also Math. Rev. 21, (1960) 577.
21. Rényi, A. (1958) On a one-dimensional problem concerning random space filling. Magy. Tud. Akad. Matematikai Kut. Intéz. Kozl. (Budapest) 3, 109-127; see also Math. Rev. 21, (1960) 577.
22. Wagner, H. D. and Eitan, A. (1990) Interpretation of fragmentation phenomenon in single-filament composite experiments. Appl. Phys. Lett. 56, 1965-1967.
23. Widom, B. (1966) Random sequential addition of hard spheres to a volume. J. Chem. Phys. 44, 3888-3894.
24. Yang, F. Y. and Knowles, K. M. (1992) The one-dimensional car parking problem and its application to the distribution of spacings between matrix cracks in unidirectional fiber-reinforced brittle materials. J. Am. Ceram. Soc. 75, 141-147.
25. Zhandarov, S. F., Pisanova, E. V. and Dovgyalo, V. A. (1992) Measurement of fibre-matrix adhesion by testing single-fibre composites. Mekhanika Kompozitnykh Materialov 3, 384-403.