G modeling
==============


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

It is the same modeling as the F modeling, but with plane constraints, C_ PLAN. The junctions are constructed in the same way.


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

The mesh, identical to that of modeling B, is represented in FIG. 4.2-a.


Tested sizes and results
------------------------------

The movements at the level of the crack lips are tested after having carried out the post-treatment operations relating to :math:`\text{X-FEM}` (POST_MAIL_XFEM and POST_CHAM_XFEM). The DX displacement should follow function :math:`{u}_{x}` in equation 2.2-7. The displacement DY should follow function :math:`{u}_{y}` in equation 2.2-8.


+------------------+-------------------+-------------+---------------+---+
|**Identification**                    |**Reference**|**% tolerance**|5.0|
+------------------+-------------------+-------------+---------------+   +
|DEPZON_1          |DX- :math:`{u}_{x}`|MIN          |0              |   |
+                  +                   +-------------+---------------+---+
|                  |                   |MAX          |0              |5.0|
+                  +-------------------+-------------+---------------+---+
|                  |DY- :math:`{u}_{y}`|MIN          |0              |5.0|
+                  +                   +-------------+---------------+---+
|                  |                   |MAX          |0              |5.0|
+------------------+-------------------+-------------+---------------+---+
|DEPZON_2          |DX- :math:`{u}_{x}`|MIN          |0              |5.0|
+                  +                   +-------------+---------------+---+
|                  |                   |MAX          |0              |5.0|
+                  +-------------------+-------------+---------------+---+
|                  |DY- :math:`{u}_{y}`|MIN          |0              |5.0|
+                  +                   +-------------+---------------+---+
|                  |                   |MAX          |0              |5.0|
+------------------+-------------------+-------------+---------------+---+
|DEPZON_3          |DX- :math:`{u}_{x}`|MIN          |0              |5.0|
+                  +                   +-------------+---------------+---+
|                  |                   |MAX          |0              |5.0|
+                  +-------------------+-------------+---------------+---+
|                  |DY- :math:`{u}_{y}`|MIN          |0              |5.0|
+                  +                   +-------------+---------------+---+
|                  |                   |MAX          |0              |5.0|
+------------------+-------------------+-------------+---------------+---+
|DEPZON_4          |DX- :math:`{u}_{x}`|MIN          |0              |5.0|
+                  +                   +-------------+---------------+---+
|                  |                   |MAX          |0              |5.0|
+                  +-------------------+-------------+---------------+---+
|                  |DY- :math:`{u}_{y}`|MIN          |0              |5.0|
+                  +                   +-------------+---------------+---+
|                  |                   |MAX          |0              |5.0|
+------------------+-------------------+-------------+---------------+---+

**Table** 9.3-1

The deformation is shown in Figure 9.4-a.


.. image:: images/1000000000000312000002822DE2644B6AB27609.jpg
    :width: 3.9366in
    :height: 3.2083in


.. _RefImage_1000000000000312000002822DE2644B6AB27609.jpg:

Figure 9.4-a: Deformed structure (Exaggeration 10).

We test the value of :math:`{E}^{e}` produced by the POST_ERREUR operator (expressed in :math:`\text{J}\times {\text{m}}^{-1}`).


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**"
    "Ee", "'ANALYTIQUE'", "2, 2106"


We test the value of :math:`{\Vert u\Vert }_{{L}^{2}}` produced by the POST_ERREUR operator.


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**"
    "L2 standard, "'ANALYTIQUE'", "1.11656914997"," 0.1%"



notes
---------

The remarks are identical to those specified for the F model.