N. Ramachandran et Dk. Shetty, PREDICTION OF INDENTATION-LOAD DEPENDENCE OF FRACTURE STRENGTHS FROM R-CURVES OF TOUGHENED CERAMICS, Journal of Materials Science, 28(22), 1993, pp. 6120-6126
Rising-crack-growth resistance or R-curves evaluated by direct measure
ments of crack lengths associated with indentation flaws in a sintered
silicon nitride and a sintered and isostatically hot pressed (HIPed)
SiC (whisker)-reinforced alumina were used to predict the correspondin
g indentation-load dependence of fracture strengths. Two empirical R-c
urve functions, a power law and an exponential function, were fitted t
o the R-curve data for the analysis. Fracture strengths were calculate
d by a combined numerical and graphical procedure that determined the
point of tangency between crack-driving forces and the R-curves. The r
esults revealed that the exponential function gave a better prediction
of the measured log fracture-strength versus log indentation-load rel
ation than the power law. The exponential function also predicted a ne
arly linear relation between log fracture-strength and log indentation
-load, thus indicating that the apparent linearity of this plot is not
adequate evidence to assume a power-law R-curve function. This study,
therefore, reinforces the case for R-curve evaluations to be based on
direct crack-length measurements rather than strength measurements, b
ecause the indentation-load dependence of the fracture strength is not
sufficiently sensitive to discriminate between potential R-curve func
tions.