C modeling
==============


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

The modeling used is a C_ PLAN modeling.


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.


.. image:: images/10000000000001F7000003865BA24D3BDB13FC54.gif
    :width: 1.7083in
    :height: 3.0634in


.. _RefImage_10000000000001F7000003865BA24D3BDB13FC54.gif:

**Figure** 5.2-a **: Mesh for problem 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).


.. csv-table::

    "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