The extensive use of appropriate coatings to improve wear resistance,
friction coefficient, electrical properties and protection from corros
ion has stimulated a growing interest in their mechanical properties,
and especially hardness measurements. The objects of this study are to
compare the predictions obtained using different models and to unders
tand why it is often reported that the Jonsson and Hogmark model does
not hold for indentation prints less than the coating thickness. Metho
ds were reviewed for calculating the composite hardness, and it was fo
und that the simplifications made by the authors are not always valid.
By taking in account all the terms of the equations of Jonsson and Ho
gmark, it was found that the relation between the hardness and the rec
iprocal length of the indentation print is not linear and depends on t
he ratio between the film thickness and the indentation print, as well
as the variation of the hardness of the substrate and the film with t
he applied load. Comparison of the Burnett and Rickerby experimental d
ata with the modified model led to very good agreement.