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Table 9 Williams equation parameters and crack tip coordinates

From: Optimisation Method for Determination of Crack Tip Position Based on Gauss-Newton Iterative Technique

 

\(a_{1}\)

\(a_{2}\)

\(a_{3}\)

\(a_{4}\)

\(a_{5}\)

\(x_{o}\)

\(y_{o}\)

(a)

Con.

25.16

− 38.12

− 260.11

2156

− 107767

820

660

Pro.

23.22

− 21.17

− 548.67

136.84

− 17506

805.59

648.22

(b)

Con.

21.32

− 27.66

− 243.38

1669

− 81534

820

660

Pro.

19.97

− 15.29

−443.89

34.65

− 13742

808.45

650.59

(c)

Con.

21.72

− 33.79

− 254.12

1004

− 76756

815

655

Pro.

20.34

− 20.94

− 468.72

− 572.90

− 9278

803.79

649.22