An improved theoretical analysis is presented for the strength and mec
hanical reliability of ceramic materials with an R-curve characteristi
c. There is good agreement between the predicted flexural strength dis
tribution of an Al2O3/ZrO2 ceramic and experimental data. Unlike the c
onventional two-pa ra meter Weibull approach, this new ana lysis is ab
le to predict the non-linearity observed in the InIn 1/(1-P-f) versus
In sigma(f) strength distribution curve. Compared to the untoughened G
riffith material, the R-curve material has higher strength and better
strength reliability.