Matrix fracture in fiber-reinforced ceramics.

*(English)*Zbl 0575.73106A fiber-reinforced ceramic subject to tensile stress in the fiber direction can undergo extensive matrix cracking normal to the fibers, while the fibers remain intact. In this paper, the critical conditions for the onset of widespread matrix cracking are studied analytically on the basis of fracture mechanics theory. Two distinct situations concerning the fiber-matrix interface are contemplated: (i) unbounded fibers initially held in the matrix by thermal or other strain mismatches, but susceptible to frictional slip, and (ii) fibers that initially are weakly bonded to the matrix, but may be debonded by the stresses near the tip of an advancing matrix crack. The results generalize those of the Aveston-Cooper-Kelly theory for case (i). Optimal thermal strain mismatches for maximum cracking strength are studied, and theoretical results are compared with experimental data for a SiC fiber, lithium-alumina-silicate glass matrix composite.

##### Keywords:

fiber-reinforced ceramic; tensile stress; critical conditions; widespread matrix cracking; fiber-matrix interface; unbounded fibers initially held in the matrix; thermal or other strain mismatches; susceptible to frictional slip; fibers that initially are weakly bonded to the matrix; debonded by the stresses near the tip; Optimal thermal strain mismatches; maximum cracking strength
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\textit{B. Budiansky} et al., J. Mech. Phys. Solids 34, 167--189 (1986; Zbl 0575.73106)

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##### References:

[1] | Aveston, J.; Cooper, G.A.; Kelly, A., The properties of fibre composites, (), 15-26 |

[2] | Aveston, J.; Kelly, A., J. mat. sci., 8, 352-362, (1973) |

[3] | Aveston, J.; Kelly, A., Phil. trans. R. soc. lond., A294, 519-534, (1980) |

[4] | Hannant, D.J.; Hughes, D.C.; Kelly, A., Phil. trans. R. soc. lond., A310, 175-190, (1983) |

[5] | Kelly, A., Composites with brittle matrices, (), 335-364 |

[6] | Marshall, D.; Evans, A.G., J. am. ceramic soc., (1985), (to be published) |

[7] | Prewo, K.M.; Brennan, J.J., J. mat. sci., 15, 463-468, (1980) |

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