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


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

.. figure:: images/Object_41.svg
 :align: center
 :width: 480
 :height: 360
  
 3D modeling.


.. _RefImage_Object_41.svg:


.. list-table:: Caractéristiques du maillage.
  
 * - Number of knots
   - 8
 * - Number of meshes
   - | 1 of the HEXA 8 type
     | 6 of the QUAD 4 type

.. list-table:: Groupes de nœuds.
  
 *-* ARRIERE *
   - NO1, NO3, NO7, N05
 *-* AVANT *
   - NO2, NO6, NO8, N04
 *-* DROITE *
   - NO1, NO5, NO6, N02
 *-* GAUCHE *
   - NO3, NO4, NO8, N07
 *-* BAS *
   - NO1, NO2, NO4, N03
 *-* HAUT *
   - NO5, NO7, NO8, N06

To represent 1/8th of the structure, the imposed displacement boundary conditions are:

* On nodes NO1, NO2, NO4, and NO3: :math:`DZ=0`.

* On nodes NO3, NO4, NO8, and NO7: :math:`DY=0`.

* On nodes NO2, NO6, NO8, and NO4: :math:`DX=0`.

The load consists of the same pressure distributed in compression over the 3 meshes: *HAUT*, *DROITE* and *ARRIERE* to simulate a hydrostatic test.


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

Component :math:`\varepsilon_{xx}` at node NO6 was tested and compared to the reference solution:

.. list-table:: Résultats de la modélisation C.
  
 *-**Moment**
   - **Reference**
   - **Aster code**
 * - :math:`5000`
   - :math:`-0.047698600`
   - :math:`-0.047698657`
 * - :math:`6000`
   - :math:`-0.049840350`
   - :math:`-0.049840350`
 * - :math:`6500`
   - :math:`-0.050861712`
   - :math:`-0.050861712`
 * - :math:`7000`
   - :math:`-0.051852700`
   - :math:`-0.051852707`
 * - :math:`7500`
   - :math:`-0.052815082`
   - :math:`-0.052815080`
 * - :math:`8000`
   - :math:`-0.053750450`
   - :math:`-0.053750456`
 * - :math:`9000`
   - :math:`-0.040516150`
   - :math:`-0.040516149`
 * - :math:`10000`
   - :math:`-0.0022572216`
   - :math:`-0.0022572251`