PSI - Issue 40

O.N. Belova et al. / Procedia Structural Integrity 40 (2022) 46–60 O.N. Belova, L.V. Stepanova / Structural Integrity Procedia 00 (2022) 000 – 000

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12

Fig. 11. The finite element simulation: distribution of the von Mises stress and the stress tensor component 22  . Table 1. Coefficients of the Williams series expansion for the plate with two inclined parallel cracks (the experimental photoelasticity method). The crack tip A Coefficients of the Williams series expansion for Mode I loading Coefficients of the Williams series expansion for Mode II loading   1 1/2 1 4.693 a Pa mm     2 1/2 1 1.804 a Pa mm  

1 2

2 2 0.00 a Pa 

0.4318

a

Pa

 









1

1/2

2

1/2

3 0.6755 / a Pa mm 

3 0.1733 / a Pa mm  2 4 0.1693 / a Pa mm   

1 4





0.3546 /

a

Pa mm

 







 

1

3/2

2

3/2

5 0.1952 / a Pa mm  2 6 0.6605 / a Pa mm  1

0.0956 /

a

Pa mm

 

5







2

2

0.3106 /

a

Pa mm

 

6





 



1 7 1 8 1

5/2

2

5/2

0.4324 /

7 0.2321 / a Pa mm  3 8 0.1684 / a Pa mm  2

a

Pa mm

 







3

0.3284 /

a

Pa mm

 









7/2

2

7/2

9 0.1051 / a Pa mm 

0.0571 /

a

Pa mm

 

9 2









4 10 0.0081 / a kg mm  11 0.1149 / a Pa mm  5 12 0.0078 / a Pa mm   2 2

1 10 1 11 1 12

4

0.0175 /

a

kg mm

 







9/2

9/2

0.3394 /

a

Pa mm

 









5

0.0153 /

a

Pa mm

 









1

11/2

2 13

11/2

13 0.0423 / a Pa mm 

0.0293 /

a

Pa mm

 









2 6 14 0.0036 / a Pa mm  15 0.0023 / a Pa mm  2

1 14 1 15

6

0.0078 /

a

Pa mm

 









13/2

13/2

0.04136 /

a

Pa mm

 