PSI - Issue 13

A. Coré et al. / Procedia Structural Integrity 13 (2018) 1378–1383 A. Core et al. / Structural Integrity Procedia 00 (2018) 000–000

1382

5

Fig. 5. Force-displacement curves for static and dynamic loadings (each results has been taken into account and gives the thickness of the red an blue curves).

1

r t = 0.08 r t = 0.043

0 . 8

0 . 6

G ID / G I 0

0 . 4

0 . 2

0 0 . 2 0 . 4 0 . 6 0 . 8 1 0

˙ a / c r

Fig. 6. Generation phase simulation for the crack opening in the HSS (plotted field is the magnitude displacement).

Fig. 7. Dynamic correction ratio for HSS regarding the crack ve locity and the thickness.

This dynamic correction ratio is applied for the di ff erents compression tests. the release rate G I 0 is calculated by integrating the force-diplacement curve and by dividing the crack surface experimentally measured, following the formalism of Linear Elastic Fracture Mechanics. Results are given in the table 7. A high dispersion is observed for the G Idc (from 0.4 to 0 . 84 kJ m − 2 ) where a unique value is attended. Nevertheless, similar values can be found in the litterature for similar materials : between 220 and 800 kJ m − 2 for (Joudon, 2014), and between 100 and 1400 kJ m − 2 for (Koh et al., 1993; Ragosta et al., 2005), where the same dispersion on the results is observed.

Table 1. Results synthesis for two thickness ratio and the static and dynamic tests, evaluation of the dynamic critical energy release rate G Idc .

1 )

2 )

2 )

v (m.s −

Sphere

r t

˙ a / c

r (N)

G I 0 (kJ / m

G

Idc (kJ / m

8 . 3 10 − 5 8 . 3 10 − 5

A B A B

0.043

0.08 ± 0.01 0.12 ± 0.02 0.09 ± 0.0 0.14 ± 0.02

2.7 ± 0.4 4.0 ± 0.7 3.9 ± 1.2 3.4 ± 0.3

0.45 ± 0.4 0.84 ± 0.5 0.69 ± 0.3 0.4 ± 0.3

0.08

0.043

1.53 ± 0.17 1.32 ± 0.18

0.08