5. C modeling#

5.1. Characteristics of modeling#

The modeling used is a C_ PLAN modeling.

5.2. Characteristics of the mesh#

The mesh is composed of 222 linear triangles. The mesh is transformed into a quadratic mesh in the command file. In addition, the elements at the bottom of the crack are transformed into Barsoum elements.

_images/10000000000001F7000003865BA24D3BDB13FC54.gif

Figure 5.2-a : Mesh for problem 3

5.3. Tested sizes and results#

We test the values of the stress intensity factors given by the command POST_K1_K2_K3 (analytical comparison and non-regression) and the value of the error estimators for the 3 methods implemented in Code_Aster (parameters ERREUR_ERRE, ERREUR_ERZ1, ERREUR_QIRE, ERREUR_QIZ1) (parameters,,,) for the primal problem and the dual problem (non-regression comparison).

Quantity tested

Reference value

Tolerance (relative)

K1 (analytics)

6.33

0.099

K1 (non regression)

6.95029

1.E-6

ERREUR_ERRE

2.2009669815803E-03

1.E-8

ERREUR_ERZ1

2.2766563775709E-03

1.E-8

ERREUR_ERRE

5.2902256540711E+01

1.E-8

ERREUR_ERZ1

5.5578633368626E+01

1.E-8

ERREUR_QIRE

7.6783302550272E+01

1.E-8

ERREUR_QIZ1

2.2766563775709E-03

1.E-8

Table 5.3-1 : Results for the quantities tested