“…The deformation that occurred around the indenter damaged the passive film, for instance, by stretching, thinning, or cracking the film. 32 To simplify the model, the plastic deformation outside the scratch groove was ignored, since the deformation below the indenter was much larger than the deformation in the ridges. For the model, the charge density, q, to repair the damaged film was assumed to be a constant, q c , where q was calculated by Equations (2) and (3).…”