Abstract
The mechanism of fracture arrest in brittle-matrix composites with strong, long fibers is analyzed by using the inclusion method. The maximum stress contribution of the matrix in composites is discussed in this paper. A critical volume fraction of fibers fc is theoretically derived. If the volume fraction f is less than fc, then debonding between fibers and matrix occurs before the crack propagates through the whole section. If f is greater than fc, then no debonding occurs before the crack propagates through the whole section. The value of fc depends on the matrix and fiber properties and the bond character of the interface. To verify the analytical predictions, experiments on fiber reinforced cement composites subjected to uniaxial tension were conducted. The results of the theoretical predictions were also compared satisfactorily with other published experimental data.
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References
T. Mura, Micromechanics of Defects in Solids, 2nd ed. (Martinus Nijhoff Publishers, The Hague, 1987).
T. Mori and T. Mura, Mech. Mater. 3, 193–198 (1984).
S. Shibata, T. Mori, and T. Mura, ISIJ Int. 11, 954–959 (1989).
C. C. Yang, B. Tsai, S. Qin, T. Mura, and T. Mori, in Microcracking-Induced Damage in Composites, edited by G. J. Dvorak and D.C. Lagoudas (ASME Proc. AMD-111, Dallas, TX, 1990), pp. 113–120.
C. C. Yang, B. Tsai, S. Qin, T. Mura, S. Shibata, and T. Mori, J. Comp. Eng. 1 (1991, in press).
J. Aveston, G. A. Cooper, and A. Kelly, in Conf. on The Properties of Fiber Composites (National Physical Laboratory, Guildford, Surrey, 1971), pp. 15–26.
D.B. Marshall, B.N. Cox, and B.N. Evans, Acta Metall. 33, 2013-2021 (1985).
B. Budiansky, J. W. Hutchinson, and A. G. Evans, J. Mech. Phys. Solids 34, 167–189 (1986).
M. Hori and S. Nemat-Nasser, Mech. Mater. 6, 245–269 (1987).
J.W. Hutchinson and H. M. Jensen, Mech. Mater. 9, 139–163 (1990).
B. Mobasher, C. Ouyang, and S.P. Shah, Int. J. Fracture (1991, in press).
B. Mobasher, H. Stang, and S. P. Shah, Cement and Concrete Res. 20 (in press).
H. Stang, B. Mobasher, and S.P. Shah, Cement and Concrete Res. 20 (in press).
B. Mobasher, A. Castro-Montero, and S. P. Shah, Exp. Mech. 30 (1990).
A. R. Bunsell, D. Laroche, and D. Valentin, in Long-Term Behavior of Composites, edited by T.K. O’Brien (ASME STP-813, 1983), pp. 38–54.
N. Sato, T. Kurauchi, and O. Famigaito, J. Mater. Sci. 21, 1005–1010 (1986).
M. Taya and R.J. Arsenault, Metal Matrix Composites (Pergamon Press, 1989).
D.B. Marshall and W.C. Oliver, J. Am. Ceram. Soc. 70 8, 542–548 (1987).
Z. Li, B. Mobasher, and S. P. Shah, accepted by American Ceramics Society.
Y. Jenq and S.P. Shah, J. Eng. Mech. 111, 1227–1241 (1985).
S. Somayaji and S. P. Shah, ACI Journal 78 20, 217–225 (1981).
S. Mindess and J. F. Young, Concretes (Prentice-Hall Inc., Engle-wood Cliffs, NJ, 1981).
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Yang, C.C., Mura, T. & Shah, S.P. Micromechanical theory and uniaxial tensile tests of fiber reinforced cement composites. Journal of Materials Research 6, 2463–2473 (1991). https://doi.org/10.1557/JMR.1991.2463
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DOI: https://doi.org/10.1557/JMR.1991.2463