Issue 24

M. Davydova et alii, Frattura ed Integrità Strutturale, 24 (2013) 60-68; DOI: 10.3221/IGF-ESIS.24.05

Figure 6 : Ballistic set-up and scheme of steel cylinder with a sample.

Figure 7 : The dependence of fragment mass corresponding to maximum probability density function on the projectile energy.

Thus, the cumulative distributions illustrating the relation between the numbers of fragments and their linear dimension are represented as a log-log plot (Fig. 8). The linear dimension is defined as a cube root of mass or a square root of area. The distribution is fractal by nature with a power law in the form ( )    D N r Cr , where N is the number of fragments with a characteristic linear dimension greater than r . The fractal dimension D varies from 1.6 to 2.0 for a plate and from 1.1 to 1.7 for a rod.

8

ln(N)

7

6

5

plate

4

rod

3

2

1

0

-4

-3

-2

-1

0

1

2

3

ln(linear size)

Figure 8 : Double logarithmic plot of the cumulative distribution function for a plate and a rod (different colors correspond to different samples).

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