It has been shown that, similarly, to monolithic ceramics, a great collection of data for particulate CMC present statistrically significant linear relationship between fracture toughness  and bending strength. Up to a formation of particle clusters (often coinciding with the percolation threshold) three types of property changes with the volume fraction of  dispersed  particles is found. Namely, the increase of fracture toughness alone without strength changes (found usually on dispersion of borides in various matrices), the simultaneous increase of toughness and strangth (typical for alumina-zirconia composites), and the strenght increase with no significant changes of fracture toughness (example, aluinina-silicon carbide CMC) . The occurrence of these cases may be rationalized by considering residual stress fields in the composites.  

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