Surface microstresses were calculated from the plots in Fig. 9 by converting the microstrain (slope) to microstress using
the coating’s elastic modulus, E, which was previously determined via nanoindentation tests (ETiAlN = 277 GPa and
ETiAlN/CrN = 381 GPa). The calculated microstresses were found to be 0.66 GPa for the TiAlN coating, and 0.76 GPa for the
TiAlN/CrN coating, with both values being in the compressive stress state. These measurements of derived microstress,
showing a slightly larger microstress (microstrain) for the multilayered TiAlN/CrN coating, are in a good agreement with
previously published data by Chang et al. [31].