E modeling
==============


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

It is the same modeling as modeling A.


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

The mesh, which comprises 25 cells of the QUAD4 type, is represented in FIG. 7.2-a. The mesh is less refined than that of modeling A, so that some elements see the two horizontal cracks.


.. image:: images/Object_12.png
    :width: 2.8547in
    :height: 2.2193in


.. _RefSchema_Object_12.png:

Figure 7.2-a: The modeling mesh E.


Features tested
-----------------------

As for the other models, the vertical crack connects to the two horizontal cracks, but some elements see the 3 cracks.

Even if it is possible to connect crack 3 to cracks 1 and 2, it is not possible locally i.e. the algorithm put in place can only attach crack 3 to one other crack within the same element: there is therefore confusion between cracks 1 and 2.

To solve this problem, the user is forced to link crack 2 to crack 1 using the JONCTION keyword in DEFI_FISS_XFEM. Fissure 3 will therefore be explicitly linked to crack 2, which is linked to the first. Fissure 3 will therefore also be implicitly linked to the first.


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

The quantities tested are identical to those used for modeling A.


+------------------+--+-------------+---------------+--------+
|**Identification**   |**Reference**|**% tolerance**|        |
+------------------+--+-------------+---------------+--------+
|DEPZON_1          |DX|MIN          |-0.25          |1.00E-11|
+                  +  +-------------+---------------+--------+
|                  |  |MAX          |-0.25          |1.00E-11|
+                  +--+-------------+---------------+--------+
|                  |DY|MIN          |0              |1.00E-11|
+                  +  +-------------+---------------+--------+
|                  |  |MAX          |0              |1.00E-11|
+------------------+--+-------------+---------------+--------+
|DEPZON_2          |DX|MIN          |-0.5           |1.00E-11|
+                  +  +-------------+---------------+--------+
|                  |  |MAX          |-0.5           |1.00E-11|
+                  +--+-------------+---------------+--------+
|                  |DY|MIN          |0              |1.00E-11|
+                  +  +-------------+---------------+--------+
|                  |  |MAX          |0              |1.00E-11|
+------------------+--+-------------+---------------+--------+
|DEPZON_3          |DX|MIN          |0.75           |1.00E-11|
+                  +  +-------------+---------------+--------+
|                  |  |MAX          |0.75           |1.00E-11|
+                  +--+-------------+---------------+--------+
|                  |DY|MIN          |0              |1.00E-11|
+                  +  +-------------+---------------+--------+
|                  |  |MAX          |0              |1.00E-11|
+------------------+--+-------------+---------------+--------+
|DEPZON_4          |DX|MIN          |0.75           |1.00E-11|
+                  +  +-------------+---------------+--------+
|                  |  |MAX          |0.75           |1.00E-11|
+                  +--+-------------+---------------+--------+
|                  |DY|MIN          |0              |1.00E-11|
+                  +  +-------------+---------------+--------+
|                  |  |MAX          |0              |1.00E-11|
+------------------+--+-------------+---------------+--------+

**Table** 7.4-1

The deformation is represented in FIG. 7.4-a.


.. image:: images/10000000000001BA0000014F6E2141DBBF93F725.jpg
    :width: 4.6043in
    :height: 3.4898in


.. _RefImage_10000000000001BA0000014F6E2141DBBF93F725.jpg:

Figure 7.4-a: Deformed structure.

We test the value of :math:`{E}^{e}` produced by the POST_ERREUR operator.


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**"
    "Ee", "'ANALYTIQUE'", "0"


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


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**"
    "L2 standard, "'ANALYTIQUE'", "7,071067812"," 0.1%"



notes
---------

The remarks are identical to those specified for modeling A.