Rebuttal: Shallow and deep scratch tests as powerful alternatives to assess the fracture properties of quasi-brittle materials

We recall the principles of Dimensional Analysis. We do not violate the principle of geometrical similarity: the Size Effect Law can be applied to dissimilar specimens when the energy release function is known. By considering a two-dimensional and a three-dimensional similitude case, we can predict the fracture toughness using scratch tests. Finally, we recall our Scratch Fracture Mechanics model that was validated via an exhaustive campaign of numerical simulations. In sum, whether deep or shallow, the ductile-to-brittle transition in scratch tests is governed by the out-of-plane width and the width-to-depth ratio.