The previously reported results of microhardness measurements on flux-grown
crystals of rare earth aluminates were re-examined in this paper to explor
e the applicability of the proportional specimen resistance (PSR) model to
describe the indentation size effect. It was found that the PSR model is in
sufficient for describing the experimental data and a modified form of this
model! was proposed based on the consideration of the effect of surface st
ress state on hardness testing.