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


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

It is the same modeling as modeling A, but in 3D.


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


.. image:: images/Object_22.png
    :width: 3.5937in
    :height: 3.5728in


.. _RefSchema_Object_22.png:

**Figure 5.2-a: The C modeling mesh**

The mesh comprises 4 cells of the HEXA8 type, represented in FIG. 5.2-a.

Same remark as for the modeling mesh A. Some meshes "see" 2 cracks, they have the degrees of kinematic freedom DX, DY, DZ, H1X, H1Y, H1Z, H2X and H2Y, H2Z as well as the degrees of freedom of Lagrange LAGS_C and LAG2_C as well as the degrees of freedom of Lagrange and. Others "see" 4 cracks, they also have the kinematic degrees of freedom H3X, H3Y, H3Z, H4X as well as the degrees of freedom of Lagrange and. Others "see" 4 cracks, they also have the kinematic degrees of freedom H3X, H3Y, H3Z, H4X and H4Y, H4Z as well as the Lagrange degrees of freedom LAG3_C and LAG4_C.


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

The quantities tested are identical to those described in modeling A. The stair deformation in FIG. 5.4-a is obtained.


.. csv-table::

    "**Identification**", "**Reference**"
    "SOMM_ABSpour DX- :math:`\text{Depl\_X}` (master side)", "0"
    "SOMM_ABSpour DY- :math:`\text{Depl\_Y}` (master side)", "0"
    "SOMM_ABSpour DX- :math:`\text{Depl\_X}` (slave side)", "0"
    "SOMM_ABS for DY- :math:`\text{Depl\_Y}` (slave side)", "0"


Table 5.3-1


.. image:: images/10000000000001A5000002612D587ACE210A0526.jpg
    :width: 2.7563in
    :height: 3.9882in


.. _RefImage_10000000000001A5000002612D587ACE210A0526.jpg:

**Figure 5.4-a: Deformed structure.**

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


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**"
    "Ee", "'ANALYTIQUE'", "2.6 107"," 0.1%"


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'", "1.00664459137"," 0.1%"