PSI - Issue 42

Diego F. Mora et al. / Procedia Structural Integrity 42 (2022) 224–235 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

232

9

K

c 

=

Ic

(6)

2

r



c

The crack direction of propagation ˆ  is determined in ABAQUS by

   

   

2 K K K K K K + + + 4 2 2 I II 2 2 8 9 II I

3

ˆ 

1

cos

−

=

I

II

(7)

I K and

II K are the stress intensity factor for mode I and II of fracture.

where

3. Results The FE solution of the application of the PTS on the test cylinder is displayed in Fig. 7(a) and (b) in terms of the evolution of the temperatures and stresses in the material. The evolution of temperature of the water is shown in green in Fig. 7(a) together with the temperature at the inner and the outer surface. Fig. 7(b) shows the radial, circumferential and axial components of the stresses.

(a)

(b)

Fig. 7. (a) Temperature evolution during the cooling down of the cylinder; (b) Stress evolution at the inner surface during the PTS.

The experimental results are presented in Fig 8. In (Merkert 2002), the post mortem crack profile as shown in Fig. 8(a) in which the clearly visible crack initiation and arrest crack fronts was reported. Also, the COD measured during the experiment was reported. For the present analysis, the average COD was determined and is displayed in Fig. 8(b).