3. B modeling#

D_ PLAN modeling, with the XFEM method to represent the crack. Quadratic elements TRIA6.

3.1. Characteristics of the mesh#

The unit square is meshed regularly [] .We maintain the refinement of the previous modeling.

NOMBRE OF NOEUDS: 40401

NOMBRE OF MAILLES: 20400

TRIA6: 20000

3.2. Tested sizes and results#

The same quantities are tested as in modeling A.

Stress Intensity Factors Test:

Identification

Reference

Tolerance

CALC_G

K1

1.00

1.0%

K2

0.00

1.0%

G

1.0 10-5

1.0%

Testing the standard_L2 of the error on the displacement field: \({∥{U}^{\mathit{calc}}-{U}^{\mathit{ana}}∥}_{{L}_{2}}<\mathit{tolerance}\times {∥{U}^{\mathit{ana}}∥}_{{L}_{2}}\)

Identification

Reference

Tolerance

POST_ELEM

NORME

0.00

0.1%

Structure energy test:

Identification

Reference

Tolerance

POST_ERREUR

REFERENCE

3,50687407712 10-6

0.1%