Table 6 SIF \(K_\textrm{I}\) values (in 10\(^7\)Pa/\(\hbox {m}^2\)) obtained with the analytical solution, the XFEM solution with improvements and the standard XFEM solution.

From: Improvements for the solution of crack evolution using extended finite element method

crack length(m)

7

11

15

19

Average error

Analytical

1.9890

2.4934

2.9117

3.2770

 

XFEM with improvements

1.9811

2.4838

2.9558

3.2038

1.13%

Standard XFEM

1.9621

2.4953

2.9614

3.3977

2.94%