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The nanoindentation loading curves measured on fused silica were analyzed based on the theoretical relationship derived by Malzbender  et al.  ( J Mater Res  2000,  15 : 1209–1212). It was found that the ratio of the applied load to the square of the displacement,  P /( h  +  h  d ) 2 , does not keep constant during loading segment of the nanoindentation test. Considering the existence of the indentation size effect, an empirical method for the determination of the load-independent hardness by analyzing the nanoindentation loading curves was proposed.

Determination of the load-independent hardness by analyzing the nanoindentation loading curves: A case study on fused silica