PSI - Issue 41

Victor Rizov et al. / Procedia Structural Integrity 41 (2022) 134–144 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

142

9

  

    1 B ds

  

        

 

  x p v B 1 y

  J u

cos 01

1 x p u B x







B

1

B

1

  

  

 

 



cos 02

u

2 x p u B x

2 x p v B y

ds









.

(40)

B

B

2

2

B

2

The integration in (40) is carried-out by applying the MatLab computer program. It should be noted that the J -integral value found by (40) matches the strain energy release rate determined by using (39). This fact verifies the solution of the strain energy release rate. 3. Parametric study Results of a parametric study of the strain energy release rate are presented in this section of the paper. The following data are used: 0.010  b m, 0.012  h m, 0.250  l m, 0.7  s , 0.8  m and 9 0.10 10    v rad/sec 3 .

7  (curve 1 – at /

0.3

/ 2 1  h h

0.5

2 1  h h

Fig. 7. Variation of the strain energy release rate with increase of

, curve 2 – at

and curve

/ 2 1  h h

0.7

3 – at

).

One can observe the change of the strain energy release rate with time in Fig. 3. It should be noted that the strain energy release rate and time are presented in non-dimensional form by using the formulae   G G E b r N 1 /  and r N t tE 1 1 /   , respectively. In order to evaluate the influence of the parameter, v , the strain energy release rate is determined at three values of v . The results obtained are shown in Fig. 3. It can be seen that when v increases, the strain energy release rate increases too (Fig. 3). The effects of parameters, 1  and 2  , on the strain energy release rate are assessed. For this purpose, the strain energy release rate is presented as a function of 1  in Fig. 4 at three values of 2  . It can be observed in Fig. 4 that r