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Abstract

The micromechanical analysis is performed to elucidate the stiffness reduction damage in the ceramic/ceramic composite whose matrix rupture strain is smaller than that of fibers. It is assumed that damage mechanism in the composite consists mainly of crack bridging fiber and interfacial sliding between the matrix and fibers. Energy release rate for a matrix crack and energy dissipation by the interfacial sliding was formulated by means of the inclusion modeling in micromechanics. Macroscopic stiffness at the given applied stress was derived in terms of the current lengths of matrix cracks. Finally, applicability of a parameter of damage accumulation in the material and its effect on macroscopic stiffness were discussed by the use of macroscopic stress-strain curves.

Keywords

micromechanics inhomogeneity eigenstrain composites crack-bridging fiber interfacial sliding stiffness reduction

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References

1. Kelly, A. (1966). Strong Solids, Oxford University Press.

2. Aveston, J. and Kelly, A. (1973). Theory of Multiple Fracture of Fibrous Composites, Journal of Materials Science, 8: 352–362.

3. Marshall, D.B. and Evans, A.G. (1985). Failre Mechanisms in Ceramic–Fiber/Ceramic–Matrix Composites, Journal of the American Ceramic Society, 68-5: 225-2-31-225-2-31.

4. Mori, T. and Tanaka, K. (1973). Average Stress in Matrix and Average Elastic Energy of Materials with Misfitting Inclusions, Acta Metallurgica, 21: 571–574.

5. Budiansky, B. and O’Connell, R.J. (1976). Elastic Moduli of a Cracked Solid, Internal Journal of Solids and Structures, 12: 81–97.

6. Saito, K. , Iwamoto, M. , Araki, S. and Yano, T. (1992). Micromechanical Analysis of Fiber-Reinforced Composites with Interfacial Phenomena, Tras. JSME-A, 58-548: 614–620.(in Japanese).

7. Mura, T. (1987). Micromechanics of Defects in Solids, 2nd Revised Edn., Martinus Nijhoff Publishers.

8. Marshall, D.B. , Cox, B.N. and Evans, A.G. (1985). The Mechanics of Matrix Cracking in Brittle-Matrix Fiber Composites, Acta Metallurgica, 33: 2013–2021.

9. Mori, T. , Saito, K. and Mura, T. (1988). An Inclusion Model for Crack Arrest in a Composite Reinforced by Sliding Fibers, Mechanics of Materials, 7: 49–58.

Micromechanics of Stiffness Damage in Ceramic-Based Fiber-Reinforced Composites

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