PSI - Issue 35

E.A. Dizman et al. / Procedia Structural Integrity 35 (2022) 91–97

96

6

Author name / Structural Integrity Procedia 00 (2021) 000–000

l4

Table 3: Model parameters

Model Parameter

Value

E f

138000 MPa 10300 MPa

E m 2 ( = E m 3 )

l2

l3

80.81

τ y

0.28

µ

0.3 0.3 0.3

ν 12 ν 13 ν 23

F

G 12

5200 MPa

l1

m

0.05

Fig. 5: Geometry and boundary conditions for the double edge notched shear specimen

The resulting slip distributions for slip system 1 and slip system 4 are shown in Figure 6 side by side. Under shear loading, fibers tend to slip over each other which in turn leads to activation of the first slip system. On the other hand, the Schmid stress on transverse slip systems stay almost at zero level throughout the loading history and therefore these slip systems are not activated as exemplified by slip system 4 in Figure 6.

Fig. 6: Left: Slip distribution for slip system 1; Right: Slip distribution for slip system 4.

In order to assess the e ff ect of friction induced hardening mechanism, shear loading is combined with tensile loading. The resulting force-displacement curves for two di ff erent loading scenarios are shown in Figure 7.

4

x 10

7

6

5

4

3

2

Reaction Force (N)

1

Shear Shear and Tension

0

0

1

2

3

4

5

6

7

8

9

Displacement (mm)

Fig. 7: Force-displacement curves for shear and combined (shear and tension) loading cases