“…From the microstructural point of view, these results are in agreement with the literature for this type of material, since there is a welldefined relationship between microstructure and fracture toughness as a function of how it interacts with cracks through the mechanisms of deflection, separation of grains and branching of cracks and where there are two key parameters in the microstructure that give indications of how they act as it is size and shape relationship of the β-Si 3 N 4 phase. The effect of grain size on the toughness has already been studied by others (Matsuhiro &Takahashi, 2008), who reported that the polycrystalline Si 3 N 4 with the same relation of form, the samples that had a bigger grain size presented a greater Figure 7. Variation of the hardness with respect to the applied load in the indentation: a) sample Si 3 N 4 -A with and without post-heat treatment; b) sample Si 3 N 4 -B with and without post-heat treatment Carrasquero-rodríguez e.J., MinChala-Marquino J.M., roMero-roMero B.r., lópez-lópez l.M., FaJardo-seMinario J.i.…”