The roughness of a surface influences the surface mechanical propertie
s, estimated using nanoindentation data. Assuming a relation between t
he penetration depth normalized with respect to a roughness scale para
meter, and the effective radius encountered by the indenter, a first o
rder model of roughness dependency of hardness is proposed. The practi
cal usefulness of this model is verified by the numerical simulation o
f nanoindentation on a fractal surface. As the roughness of a surface
is increased, the hardness measured at depths comparable with the roug
hness scale deviates increasingly from the actual hardness. Given the
constants related to indenter geometry, the present work provides a ra
tionale and a method for deconvoluting the effect of roughness in arri
ving at real hardness characteristics of the near surface region of a
material.