Modeling A
==============


Characteristics of modeling
-----------------------------------

The modeling used is a C_ PLAN modeling.


Characteristics of the mesh
----------------------------

The mesh is composed of 240 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.


.. image:: images/10000000000001F70000039E5A39A3D90F345547.gif
    :width: 1.7083in
    :height: 3.1492in


.. _RefImage_10000000000001F70000039E5A39A3D90F345547.gif:

**Figure** 3.2-a **: Mesh for problem 1**


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_ERZ2, ERREUR_QIRE,,,,,,, ERREUR_QIZ1, ERREUR_QIZ2) for the primal problem and the dual problem (non- comparison regression).


.. csv-table::

    "Quantity tested", "Reference value", "Tolerance (relative)"
    "K1 (analytics)", "9.37", "0.005"
    "ERREUR_ERRE ", "2.6654055228458E-03", "1.E-8"
    "ERREUR_ERZ1 ", "3.087758564444437E-03", "1.E-8"
    "ERREUR_ERZ2 ", "7.476798989844696E-03", "1.E-8"
    "ERREUR_ERRE ", "5.2145715958031E+01", "1.E-8"
    "ERREUR_ERZ1 ", "6.2002976336900E+01", "1.E-8"
    "ERREUR_ERZ2 ", "1.4362442647950E+02", "1.E-8"
    "ERREUR_QIRE ", "9.3257156697600E+01", "1.E-8"
    "ERREUR_QIZ1 ", "3.087758564444437E-03", "1.E-8"
    "ERREUR_QIZ2 ", "7.476798989844696E-03", "1.E-8"


**Table** 3.3-1 **:** Results for the quantities tested