Issue 42

M. Davydova et alii, Frattura ed Integrità Strutturale, 42 (2017) 170-180; DOI: 10.3221/IGF-ESIS.42.18 178 where m is the fragment mass, and T M is total fragment mass. Figure 11: Power law exponent of fragment size distribution for five tested materials. The analysis of Fig.10 and Fig.11 shows that we can get the similar distribution for granite, quartz and ceramics, but at different value m N . In this case the relation for fragmentation intensity, m N , is:   2 granite quarz ceramic m m m N N ZrO N (5) Inequality (5) describes the real resistance to fracture of these materials. For fragmentation of 2 ZrO ceramics (even with high porosity about 30%), we need to expend more energy than for fragmentation of quartz and granite. Figure 12: Fragment size distribution for 3 materials with power law exponents: for granite  1.95 D ; for quartz  2.09 D ; for 2 ZrO .  2.03 D 0.0 1.0 2.0 3.0 4.0 1 10 100 1000 10000 Power law exponent, D Number of fragments per unit mass , N m Quartz Syminal ZiO2 SiC Granite Zr y = -2.0951x - 0.4222 R² = 0.9803 y = -2.0336x - 0.6172 R² = 0.9817 y = -1.952x - 0.6266 R² = 0.9905 0 2 4 6 8 10 12 -6 -5 -4 -3 -2 -1 0 ln(N) ln(r) Quartz ZrO2 Granite Zr 2