Issue 55

F. Hamadouche et alii, Frattura ed Integrità Strutturale, 55 (2021) 228-240; DOI: 10.3221/IGF-ESIS.55.17

For the evolution of the K3 mode, it is proportional to the size mesh H. For the three tests of materials, the curves show that the values of K3 increase slightly as a function of the number of angular division n between n = 2 and n = 16. Aluminum has the highest value (K1=19.77, n = 7).

Steel

Aluminum

20

20

15

15

10

10

5

5

0 Ki/K0

0 Ki/K0

-5

-5

-10

-10

A

B

-15

0

2

4

6

8

10 12 14 16 18

-15

angular division n K1/K0 H=8 K1/K0 H=12 K2/K0 H=8 K2/K0 H=12 K3/K0 H=8 K3/K0 H=12

0

2

4

6

8 10 12 14 16 18

K1/K0 H=16 K2/K0 H=16 K3/K0 H=16

angular division n K1/K0 H=12 K2/K0 H=12 K3/K0 H=12

K1/K0 H=8 K2/K0 H=8 K3/K0 H=8

K1/K0 H=16 K2/K0 H=16 K3/K0 H=16

Brass

20

15

10

5

0 Ki/K0

-5

-10

C

-15

0

2

4

6

8 10 12 14 16 18

angular division n

K1/K0 H=8 K2/K0 H=8 K3/K0 H=8

K1/K0 H=12 K2/K0 H=12 K3/K0 H=12

K1/K0 H=16 K2/K0 H=16 K3/K0 H=16

Figure 8: The factors Ki/K 0 as a function of the angular division n for different values of the mesh size (H), for the three materials (A) Steel, (B) Aluminium, and (C) Brass.

C RACK PLANE INCLINATION

he position of the crack plane has changed from the horizontal position to the tilt position of 15 °, 30 ° and 45 ° as presented in Fig. 9. For each parameter and material, the parameters H = 8 mm, f = 1.0, L = 0.6 mm and σ = 100 MPa are kept constant during the analysis. The results obtained are presented in Fig. 10. The evolution of the crack tilt parameter is presented above in Figs. A, B and C for the steel, Aluminum and brass. The behavior of the stress intensity factor (mode K1, K2and K3) is similar in the graphs. In the K1 mode curve, the values increase in the first points of the angular division thereafter remain constant. On the other hand, the values of K1are inversely proportional to the inclination of the crack plane from 15 ° to 45 °.

235