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


.. _Ref28085085:


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

2D modeling in plane deformations. This modeling corresponds to methodology 3 from the documentation [:ref:`U2.04.06 <U2.04.06>`]: excavation with support with constraint initialization by calling CREA_CHAMP and deconfinement using a method of chaining models.


.. image:: images/Object_73.svg
    :width: 335
    :height: 296


.. _RefImage_Object_73.svg:


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


.. csv-table::

    "Number of nodes:", "8477"
    "Number of meshes:", "3304 type QUAD8"



Calculation process
---------------------

The objective of this test case is to test a method. The following table shows the main steps that structure the command file.


.. csv-table::

    "**Orders**", "**Reviews**"
    "CREA_CHAMP ", "Initialization of geostatic constraints (here isotropic :math:`5\mathrm{MPa}` in compression)"
    "STAT_NON_LINE ", "Blocking the nodes in the gallery to calculate the nodal reactions to be injected to simulate deconfinement"
    "CREA_CHAMP ", "Recovery of nodal reactions"
    "STAT_NON_LINE ", "Reinjecting nodal reactions"
    "STAT_NON_LINE ", "Intermediate calculation to go from a model without a mesh representing concrete segments to a model with cells representing them (see [:ref:`bib2 <bib2>`])"
    "STAT_NON_LINE ", "Progressive deconfinement of the Massif"



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

After the installation of the coating (final moment), the components :math:`{\sigma }_{\mathrm{xx}}` and :math:`{\sigma }_{\mathit{yy}}` are tested at the nodes :math:`\mathrm{N2}` and :math:`\mathrm{N6}` as well as the radial displacement at these points (:math:`\mathrm{DX}` for :math:`\mathrm{N2}`, :math:`\mathrm{DY}` for :math:`\mathit{N6}`).


+------------------------------------------------------------------------------------+-------------+------------+------------------+
|                                                                                    |**Reference**|**Aster**   |**Difference (%)**|
+------------------------------------------------------------------------------------+-------------+------------+------------------+
|**Knot** :math:`\mathrm{N2}`                                                        |             |            |                  |
+------------------------------------------------------------------------------------+-------------+------------+------------------+
|                                                                                    |-1,52821.106 |-1,53154.106|0.218             |
+ .. image:: images/Object_81.svg                                                    +             +            +                  +
|    :width: 335                                                                     |             |            |                  |
+    :height: 296                                                                    +             +            +                  +
|                                                                                    |             |            |                  |
+                                                                                    +             +            +                  +
|                                                                                    |             |            |                  |
+------------------------------------------------------------------------------------+-------------+------------+------------------+
|                                                                                    |-8,47179,106 |-8.52772.106|0.660             |
+ .. image:: images/Object_82.svg                                                    +             +            +                  +
|    :width: 335                                                                     |             |            |                  |
+    :height: 296                                                                    +             +            +                  +
|                                                                                    |             |            |                  |
+                                                                                    +             +            +                  +
|                                                                                    |             |            |                  |
+------------------------------------------------------------------------------------+-------------+------------+------------------+
|:math:`\mathrm{DX}`                                                                 |-1,6925.10-3 |-1,6684.10-3|-1.422            |
+------------------------------------------------------------------------------------+-------------+------------+------------------+
|**Knot** :math:`\mathrm{N6}`                                                        |             |            |                  |
+------------------------------------------------------------------------------------+-------------+------------+------------------+
|                                                                                    |-8,47179,106 |-8,41147.106|-0.712            |
+ .. image:: images/Object_85.svg                                                    +             +            +                  +
|    :width: 335                                                                     |             |            |                  |
+    :height: 296                                                                    +             +            +                  +
|                                                                                    |             |            |                  |
+                                                                                    +             +            +                  +
|                                                                                    |             |            |                  |
+------------------------------------------------------------------------------------+-------------+------------+------------------+
|                                                                                    |-1,52821.106 |-1,52943.106|0.080             |
+ .. image:: images/Object_86.svg                                                    +             +            +                  +
|    :width: 335                                                                     |             |            |                  |
+    :height: 296                                                                    +             +            +                  +
|                                                                                    |             |            |                  |
+                                                                                    +             +            +                  +
|                                                                                    |             |            |                  |
+------------------------------------------------------------------------------------+-------------+------------+------------------+
|:math:`\mathrm{DY}`                                                                 |-1,6925.10-3 |-1.7184.10-3|1,529             |
+------------------------------------------------------------------------------------+-------------+------------+------------------+