PSI - Issue 41

Victor Rizov et al. / Procedia Structural Integrity 41 (2022) 94–102 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

100

7

2

l

l

a

+

G I T D *

l

G I T

G I T D

1

1

0 





dx

dx

dx

= 

+

+

* 1 1

.

(21)

a 2 *

l

l

+

1

1

By using the method of compliance, the strain energy release rate is found as

2

T 2

da dC

G

=

h (22) Formula (22) is applied to calculate the strain energy release rate at various values of time. It should be mentioned that the strain energy release rates obtained by (22) matches these determined by applying (9) which proves the correctness of the analysis. 3. Parametric study A parametric study is carried-out by applying the solution of the strain energy release rate. The following data are used: 0.025 = b m, 0.035 = h m, 0.500 = l m, 0.7 = i  where 1, 2, 3, 4 = i , 0.120 = a m and 3 = T Nm. .

Fig. 5. The strain energy release rate displayed as a function of b b / 1 ratio (curve 1 - at

/ 2 2 =   G G

0.5

, curve 2 - at

/ 2 2 =   G G

1.0

/ 2 2 =   G G

2.0

and curve 3 - at

).

The evolution of the strain energy release rate with time is displayed in Fig. 3. One can observe in Fig. 3 that creep causes increase of the strain energy release rate with time. It should be mentioned that the strain energy release rate and time in Fig. 3 are presented in non-dimensional form by using the formulae ( ) G G G h N  1 / = and

  1 1 /

t

tG

N =

, respectively.



 1 1 / G G and 

    1 1 / ratios on the strain energy release rate is studied. For this purpose,

The influence of