In our previous study on the flexural strength (σ
m) of Si
3N
4-base ceramics, it was found that the number of fragments (
Nf) of the broken test piece increased with increasing σ
m, and the analysis of this phenomenon suggested that
Nf had a correlation with the fracture toughness (
KIC). In this study, we examined first whether such a correlation between
Nf and σ
m is found for WC-10 mass%Co cemented carbides which has higher
KIC than Si
3N
4-base ceramics, and second whether a correlation is observed between the total macroscopic area of fracture surfaces (
Smf) and σ
m for both specimens, and third whether a correlation is observed between the dependence of
Smf on σ
m and
KIC.
The results obtained were as follows. (1) A positive correlation was found between
Nf and σ
m, also for the cemented carbides. Between
Smf and σ
m, a more strong positive correlation was observed for both specimens. The σ
m at a given
Nf or a given
Smf was higher in the cemented carbides than the Si
3N
4. (2) Taking into consideration the microscopic and macroscopic energy balance in the propagation of cracks or the formation of fracture surfaces, the equation of σ
m=ψ·
KIC·
Smf1⁄2(ψ was a shape factor) was derived for general hard materials. In fact, it was confirmed for both specimens that σ
m was proportional to
Smf1⁄2. And the ratio (3.9) of the slopes of two regression lines for both specimens coincided well with the ratio (3.7) of
KIC which was obtained by SEPB method. (3) There is a possibility that the
KIC of a hard material can be estimated in general from its σ
m−
Smf1⁄2 relation, by using the σ
m−
Smf1⁄2 relation and
KIC of above two kinds of hard materials.
View full abstract