About the importance of introducing a correction factor in the Sneddon relationship for nanoindentation measurements

Michel Troyon (1) , Sébastien Lafaye (1)

1 URCA - Université de Reims Champagne-Ardenne

In the Sneddon relationship between unloading contact stiffness, elastic modulus and contact area, it is absolutely necessary to introduce a correction factor *alpha* to perform good elastic modulus and hardness measurements by nanoindentation. This is verified in the present paper by comparing the contact area determined from the Sneddon equation in the usual way, to the projected area of the residual indent measured by AFM. For the fused quartz indented by a sharp Berkovich indenter, the tip radius of which is 180 nm, a *alpha* value as high as 1.17-1.19 is evaluated for a load of 10 mN corresponding to a penetration depth of about 300 nm. This correction factor is not a constant having a single value valid for any Berkovich indenter, but strongly depends on the blunting state of the indenter when measurements are performed in the nanoindentation regime, i.e. penetration depths of the order of a few hundreds nanometers.

Mots clés: Physical Sciences

Michel Troyon, Sébastien Lafaye. About the importance of introducing a correction factor in the Sneddon relationship for nanoindentation measurements. Philosophical Magazine, 2006, 86 (33-35), pp.5299-5307. ⟨10.1080/14786430600606834⟩. ⟨hal-00513667⟩