PSI - Issue 47

Irina A. Bannikova et al. / Procedia Structural Integrity 47 (2023) 602–607 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

606

5

Cylinders from quartz represent with the formation of fragments of different sizes and shapes, and are conditionally divided into three types: in the form of plates (type I), in the form of volumetric elongated objects (type II) and in the form of volumetric objects resembling an octahedral shape (type III). The cumulative mass distributions of the fragments had two weak kinks, and were well described by a single power function with R 2 ~0.88…0.98 or two power function for small and big fragments (Fig. 5b). Additionally, we analyzed the distribution of fragments from sieves 3 5 with fragment size (1

b

a

Quartz No.1_0.51 GPa_QSL

Al2O3_0.048 GPa_EEW_18.6 J/g

10000000

10000

N all = 0.099 m R² = 0.88

-1.11

N all = 2.87 m R² = 0.99

-0.59

1000000

2

1000

100000

3D

10000

100

N small = 0.65 m R² = 0.92

-0.92

N 3D = 5.59 m R² = 0.99

N

-0.49

N

1000

2D

1

100

10

N 2D = 75.97 e

-31.57 m

10

N big = 0.0013 m

-1.94

R² = 0.99

R² = 0.96

1

1

0.000001

0.0001

0.01

1

0.0000001 0.00001

0.001

0.1

m, g

m, g

Fig. 5. Cumulative fragment size(mass) distributions: (a) for ceramic tube by electric explosion wire in water; (b) for quartz by quasistatic loading. Logarithmic axes.

(I) type

(II) type

(III) type

for (I, II, III) types from 3-5 sieves

10000

N 3-5 sieves = 1859.9 e

-1164 m

N 3-5 sieves = 0.0026 m

-1.71

R² = 0.92 ________ N 3-5 sieves = -582.8ln(m) - 3364.1

R² = 0.79

1000

R² = 0.88 ................

N I type = 0.0031 m

-1.54

R² = 0.98

100

N

N II type = 0.0032 m

-1.58

R² = 0.97

N III type = 824.23e

-1337m

R² = 0.96 _________ N III type = -291.4 ln(m) - 1768.4 R² = 0.96 ...................

10

1

0.0001

0.001 m, g

0.01

Fig. 6. Fragment size distribution with regard to the shape of the fragment. Logarithmic axes. For Quartz no.4_0.53 GPa_QSL.