PSI - Issue 13

Mauro Ricotta et al. / Procedia Structural Integrity 13 (2018) 1560–1565 Author name / Structural Integrity Procedia 00 (2018) 000 – 000

1563

4

Table 1. Elastic properties of material 1 and 2 considered in the case of butt geometry E 1 [MPa] ν 1 E 2 [MPa] ν 2  β

s

330 165 660 990

0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49

2200 2200 2200 2200 2200 2200 2200 1100 4400 6600 245.5 412.5 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 660

0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41

0.7179 0.8482 0.5055 0.3399 0.0983 0.506 0.848 0.896 0.066 0.293 0.748 0.766 0.775 0.758 0.770 0.776 0.697 0.682 0.673 0.708 0.687 0.674 - 0.191 - 0.1556 - 0.3729

- 0.0047 0.0065 - 0.0230 - 0.0372 - 0.0580 - 0.0799 - 0.0986 - 0.023

-0.254 -0.319 -0.156 -0.091 -0.016 -0.0498 -0.158 -0.319 -0.344 -0.004 -0.0097 -0.073 -0.198 -0.128 -0.039 -0.166 -0.102 -0.021 -0.248 -0.248 -0.252 -0.249 -0.248 0 -0.25

1650 2750 4400

330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330

0.007 0.011

- 0.083 - 0.061 - 0.041

0.3675

0.164 0.280 0.365 0.226 0.311 0.376

0.245

0.1225 0.3075

0.205

0.1025

0.49 0.49 0.49 0.49 0.49 0.49

0.3075

- 0.026 - 0.043 - 0.056 - 0.014 - 0.036 - 0.054

0.205

0.1025 0.3675

0.245

0.1225

Table 2. Elastic properties of material 1 and 2 considered in the case of notched joint with 2  =120° E 1 [MPa] ν 1 E 2 [MPa] ν 2 α β s 330 0.49 2200 0.41 0.7179 - 0.0047 -0.436 330 0.49 1100 0.41 0.506 - 0.023 -0.414 330 0.49 4400 0.41 0.848 0.007 -0.452 330 0.245 2200 0.41 0.766 0.280 -0.349

As stated above, the Peak Stress Method requires a/d greater than 3. In the case of butt joints, once assumed the mesh pattern shown in Fig. 2b, the specimen width was assumed as reference dimension, a. It was kept constant and equal to 4.9 mm (Fig. 2a), while the element size, d, was varied from 0.125 to 1 mm, using steps of 0.125 mm. The H * FE values obtained considering the material properties listed in the first raw of Table 1 are shown in Fig. 3a, along with their mean value (H * FE =0.46) and the ±3% scatter band, that can well rationalise all the H * FE values, as shown in Meneghetti and Lazzarin (2007).

(b)

(a)

+ 3 % - 3 %

0 0.1 0.2 0.3 0.4 0.5

0.4

- 3 % + 3 %

0.3

60° 2  =60 s=-0.493 H * 0.38

s = -0.255 0.46 H * FE =0.46

FE

0.2

FE

H *

H *

FE =0.38

0.1

0

1

10 a/d

100

1

10

1/d [mm -1 ]

Fig. 3. (a) H* FE values vs 1/d for butt joint and s=-0.255 and (b) H* FE values vs a/d for 2  =60° and s=-0.493.