Statistical fibre failure and single crack behaviour in uniaxially reinforced ceramic composites

A lower bound to the work of pull-out is estimated for a ceramic composite under uniaxial loading assuming that matrix crumbling does not occur. Fibre failure is assumed to be governed by Weibull distribution. In order to compute a lower bound to the energy dissipation it is assumed that the failure occurs by a single matrix crack. The fibre/matrix interface is assumed to be constrained by friction only. The work of pull-out estimated from the present model is compared to the energy dissipation before fibre failure which was computed by Aveston, Cooper and Kelly (ACK) in 1971. Comparisons are made with the surface energy of monolithic materials.