Modeling I
==============


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

3D modeling is used. A single calculation with the contact's by default parameters is performed.

In this modeling, the points :math:`H` and :math:`{H}_{p}` (respectively :math:`I` and :math:`{I}_{p}`) are the same points (compared to those described in the geometry) but located on the two faces supporting the symmetry conditions.


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


.. image:: images/100000000000034E00000321222EE063E1411C88.png
    :width: 4.822in
    :height: 4.5429in


.. _RefImage_100000000000034E00000321222EE063E1411C88.png:

Knots: 3698.

Meshes: 192 TETRA4, 5872 PENTA6, 224 PYRAM5.


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

First calculation (algorithm 'CONTRAINTE')


+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+
|**Identification**                                                                                                              |**Reference type**|**Reference value**         |**Tolerance**|
+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+
|                                                                                                                                |'ANALYTIQUE'      |-2798.3 :math:`N`           |14.0%        |
+ .. image:: images/Object_667.svg                                                                                               +                  +                            +             +
|    :width: 26                                                                                                                  |                  |                            |             |
+    :height: 24                                                                                                                 +                  +                            +             +
|                                                                                                                                |                  |                            |             |
+ mesh :math:`\mathit{M5884}` stitch :math:`G`                                                                                   +                  +                            +             +
|                                                                                                                                |                  |                            |             |
+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+
|                                                                                                                                |'AUTRE_ASTER'     |-3176.3 :math:`N`           |2.0%         |
+ .. image:: images/Object_666.svg                                                                                               +                  +                            +             +
|    :width: 26                                                                                                                  |                  |                            |             |
+    :height: 24                                                                                                                 +                  +                            +             +
|                                                                                                                                |                  |                            |             |
+ mesh :math:`\mathit{M5884}` stitch :math:`G`                                                                                   +                  +                            +             +
|                                                                                                                                |                  |                            |             |
+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+
|                                                                                                                                |'AUTRE_ASTER'     |-3176.3 :math:`N`           |2.0%         |
+ .. image:: images/Object_673.svg                                                                                               +                  +                            +             +
|    :width: 26                                                                                                                  |                  |                            |             |
+    :height: 24                                                                                                                 +                  +                            +             +
|                                                                                                                                |                  |                            |             |
+ mesh :math:`\mathit{M5896}` stitch :math:`G`                                                                                   +                  +                            +             +
|                                                                                                                                |                  |                            |             |
+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+
|                                                                                                                                |'AUTRE_ASTER'     |-3176.3 :math:`N`           |2.0%         |
+ .. image:: images/Object_677.svg                                                                                               +                  +                            +             +
|    :width: 26                                                                                                                  |                  |                            |             |
+    :height: 24                                                                                                                 +                  +                            +             +
|                                                                                                                                |                  |                            |             |
+ mesh :math:`\mathit{M5908}` stitch :math:`G`                                                                                   +                  +                            +             +
|                                                                                                                                |                  |                            |             |
+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+
|                                                                                                                                |'AUTRE_ASTER'     |-3176.3 :math:`N`           |2.0%         |
+ .. image:: images/Object_680.svg                                                                                               +                  +                            +             +
|    :width: 26                                                                                                                  |                  |                            |             |
+    :height: 24                                                                                                                 +                  +                            +             +
|                                                                                                                                |                  |                            |             |
+ mesh :math:`\mathit{M5920}` stitch :math:`G`                                                                                   +                  +                            +             +
|                                                                                                                                |                  |                            |             |
+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+
|                                                                                                                                |'AUTRE_ASTER'     |-3176.3 :math:`N`           |2.0%         |
+ .. image:: images/Object_684.svg                                                                                               +                  +                            +             +
|    :width: 26                                                                                                                  |                  |                            |             |
+    :height: 24                                                                                                                 +                  +                            +             +
|                                                                                                                                |                  |                            |             |
+ mesh :math:`\mathit{M5932}` stitch :math:`G`                                                                                   +                  +                            +             +
|                                                                                                                                |                  |                            |             |
+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+
|                                                                                                                                |'AUTRE_ASTER'     |-3176.3 :math:`N`           |2.0%         |
+ .. image:: images/Object_688.svg                                                                                               +                  +                            +             +
|    :width: 26                                                                                                                  |                  |                            |             |
+    :height: 24                                                                                                                 +                  +                            +             +
|                                                                                                                                |                  |                            |             |
+ mesh :math:`\mathit{M5944}` stitch :math:`G`                                                                                   +                  +                            +             +
|                                                                                                                                |                  |                            |             |
+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+
|                                                                                                                                |'AUTRE_ASTER'     |-3176.3 :math:`N`           |2.0%         |
+ .. image:: images/Object_692.svg                                                                                               +                  +                            +             +
|    :width: 26                                                                                                                  |                  |                            |             |
+    :height: 24                                                                                                                 +                  +                            +             +
|                                                                                                                                |                  |                            |             |
+ mesh :math:`\mathit{M5956}` stitch :math:`G`                                                                                   +                  +                            +             +
|                                                                                                                                |                  |                            |             |
+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+
|                                                                                                                                |'AUTRE_ASTER'     |-3176.3 :math:`N`           |2.0%         |
+ .. image:: images/Object_695.svg                                                                                               +                  +                            +             +
|    :width: 26                                                                                                                  |                  |                            |             |
+    :height: 24                                                                                                                 +                  +                            +             +
|                                                                                                                                |                  |                            |             |
+ mesh :math:`\mathit{M5968}` stitch :math:`G`                                                                                   +                  +                            +             +
|                                                                                                                                |                  |                            |             |
+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+
|:math:`\mathit{DX}` point :math:`G`                                                                                             |'ANALYTIQUE'      |0 :math:`\mathit{mm}`       |1.0E-10      |
+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+
|:math:`\mathit{DX}` point :math:`H`                                                                                             |'AUTRE_ASTER'     |-0,11343 :math:`\mathit{mm}`|4.0%         |
+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+
|:math:`\mathit{DZ}` point :math:`{H}_{p}`                                                                                       |'AUTRE_ASTER'     |-0,11343 :math:`\mathit{mm}`|4.0%         |
+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+
|:math:`\mathit{DY}` point :math:`H`                                                                                             |'AUTRE_ASTER'     |-0,16291 :math:`\mathit{mm}`|2.0%         |
+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+
|:math:`\mathit{DY}` point :math:`{H}_{p}`                                                                                       |'AUTRE_ASTER'     |-0,16291 :math:`\mathit{mm}`|2.0%         |
+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+
|:math:`\mathit{DX}` point :math:`I`                                                                                             |'AUTRE_ASTER'     |-0,17845 :math:`\mathit{mm}`|3.0%         |
+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+
|:math:`\mathit{DZ}` point :math:`{I}_{p}`                                                                                       |'AUTRE_ASTER'     |-0,17845 :math:`\mathit{mm}`|3.0%         |
+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+
|:math:`\mathit{DY}` point :math:`I`                                                                                             |'AUTRE_ASTER'     |-0.62966 :math:`\mathit{mm}`|0.1%         |
+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+
|:math:`\mathit{DY}` point :math:`{I}_{p}`                                                                                       |'AUTRE_ASTER'     |-0.62966 :math:`\mathit{mm}`|0.1%         |
+--------------------------------------------------------------------------------------------------------------------------------+------------------+----------------------------+-------------+



notes
---------

The results obtained in this modeling differ by up to 4% from the reference (modeling A): this is because the geometric nonlinearity of the contact is deliberately resolved roughly (criterion set at 5%). It can be seen that the radiating mesh makes it possible to maintain the axisymmetry of the problem, which is why the results obtained in each mesh that contributes to point :math:`G` are similar.