J modeling
==============


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

**Modeling: Element** of COQUE_3DMEC3TR7H


.. image:: images/10000000000001E0000001AF8B909ABE1154CF09.png
    :width: 2.5591in
    :height: 2.3508in


.. _RefImage_10000000000001E0000001AF8B909ABE1154CF09.png:


Boundary conditions
~~~~~~~~~~~~~~~~~~~


.. csv-table::

    "at all the nodes of the arc :math:`\mathrm{ABC}` ", "DX:0., DY: 0. , DZ: 0.
    DRX :0., DRY :0. , DRZ :0."
    "segment :math:`\text{]OA]}` ", "DY:0., DRX :0. , DRZ :0."
    "segment :math:`\text{]OC]}` ", "DX:0., DRY :0. , DRZ :0."
    "at node :math:`O` ", "DX:0., DY:0., DRX :0. , DRY :0. , DRZ :0."


Node names:


.. csv-table::

    "Point :math:`0` ", "stitches: :math:`\mathrm{M1}` and :math:`\mathrm{M2}` ", "Point :math:`A` ", "stitches: :math:`\mathrm{M41}`"
    "Point :math:`B` ", "stitches: :math:`\mathrm{M49}` and :math:`\mathrm{M50}` ", "Point :math:`C` ", "stitches: :math:`\mathrm{M10}`"
    "Point :math:`D` ", "stitches: :math:`\mathrm{M21}` ", "Dot :math:`E` ", "stitches: :math:`\mathrm{M6}`"



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

Number of knots: 121

Number of meshes and types: 50 TRIA7


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


+---------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------+-------------+
|**Identification**                                                                                       |**Reference type**|**Reference values**                            |**Tolerance**|
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  | **Reissner**                                   |             |
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+---------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------+-------------+
|O                                                                                                        |'ANALYTIQUE'      |—703.40                                         |0.5%         |
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+ .. image:: images/Object_74.svg                                                                         +                  +                                                +             +
|    :width: 33                                                                                           |                  |                                                |             |
+    :height: 21                                                                                          +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+---------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------+-------------+
|A                                                                                                        |'ANALYTIQUE'      |                                                |10-10        |
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+ .. image:: images/Object_87.svg                                                                         +                  +                                                +             +
|    :width: 33                                                                                           |                  |                                                |             |
+    :height: 21                                                                                          +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+---------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------+-------------+
|B                                                                                                        |'ANALYTIQUE'      |                                                |10-10        |
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+ .. image:: images/Object_88.svg                                                                         +                  +                                                +             +
|    :width: 33                                                                                           |                  |                                                |             |
+    :height: 21                                                                                          +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+---------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------+-------------+
|C                                                                                                        |'ANALYTIQUE'      |                                                |10-10        |
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+ .. image:: images/Object_229.svg                                                                        +                  +                                                +             +
|    :width: 33                                                                                           |                  |                                                |             |
+    :height: 21                                                                                          +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+---------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------+-------------+
|D                                                                                                        |'ANALYTIQUE'      |—495.56                                         |0.5%         |
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+ .. image:: images/Object_383.svg                                                                        +                  +                                                +             +
|    :width: 33                                                                                           |                  |                                                |             |
+    :height: 21                                                                                          +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+---------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------+-------------+
|E                                                                                                        |'ANALYTIQUE'      |—495.56                                         |0.5%         |
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+ .. image:: images/Object_384.svg                                                                        +                  +                                                +             +
|    :width: 33                                                                                           |                  |                                                |             |
+    :height: 21                                                                                          +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+                                                                                                         +                  +                                                +             +
|                                                                                                         |                  |                                                |             |
+---------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------+-------------+



+------------------+-----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|**Identification**                                                                                    |**Reference type**|**Reference values**|**Tolerance**|
+------------------+-----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|O                 |                                                                                   |'ANALYTIQUE'      |—0.20625            |1.3%         |
+                  + .. image:: images/Object_98.svg                                                   +                  +                    +             +
|                  |    :width: 33                                                                     |                  |                    |             |
+                  +    :height: 21                                                                    +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+                  +                                                                                   +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+                  +-----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|                  |                                                                                   |'ANALYTIQUE'      |—0.20625            |1.3%         |
+                  + .. image:: images/Object_99.svg                                                   +                  +                    +             +
|                  |    :width: 33                                                                     |                  |                    |             |
+                  +    :height: 21                                                                    +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+                  +                                                                                   +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+------------------+-----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|A                 |                                                                                   |'ANALYTIQUE'      |                    |0.002        |
+                  + .. image:: images/Object_111.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                     |                  |                    |             |
+                  +    :height: 21                                                                    +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+                  +                                                                                   +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+                  +-----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|                  |                                                                                   |'ANALYTIQUE'      |—0.0875             |1.5%         |
+                  + .. image:: images/Object_165.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                     |                  |                    |             |
+                  +    :height: 21                                                                    +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+                  +                                                                                   +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+------------------+-----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|C                 |                                                                                   |'ANALYTIQUE'      |—0.0875             |2.3%         |
+                  + .. image:: images/Object_178.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                     |                  |                    |             |
+                  +    :height: 21                                                                    +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+                  +                                                                                   +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+                  +-----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|                  |                                                                                   |'ANALYTIQUE'      |                    |0.002        |
+                  + .. image:: images/Object_230.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                     |                  |                    |             |
+                  +    :height: 21                                                                    +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+                  +                                                                                   +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+------------------+-----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|D                 |                                                                                   |'ANALYTIQUE'      |—0.15469            |1%           |
+                  + .. image:: images/Object_426.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                     |                  |                    |             |
+                  +    :height: 21                                                                    +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+                  +                                                                                   +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+                  +-----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|                  |                                                                                   |'ANALYTIQUE'      |—0.17656            |1%           |
+                  + .. image:: images/Object_427.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                     |                  |                    |             |
+                  +    :height: 21                                                                    +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+                  +                                                                                   +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+------------------+-----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|E                 |                                                                                   |'ANALYTIQUE'      |—0.15469            |1%           |
+                  + .. image:: images/Object_429.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                     |                  |                    |             |
+                  +    :height: 21                                                                    +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+                  +                                                                                   +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+                  +-----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|                  |                                                                                   |'ANALYTIQUE'      |—0.17656            |1%           |
+                  + .. image:: images/Object_430.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                     |                  |                    |             |
+                  +    :height: 21                                                                    +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+                  +                                                                                   +                  +                    +             +
|                  |                                                                                   |                  |                    |             |
+------------------+-----------------------------------------------------------------------------------+------------------+--------------------+-------------+


notes
---------

The values are tested automatically using the functionalities offered by procedure POST_RELEVE:


* extraction on the nodes corresponding to the observed points of the mean values of the components :math:`{M}_{\mathit{xx}}` and :math:`{M}_{\mathit{yy}}`; these values are extracted from the field 'EFGE_ELNO', and the average is calculated for all the values available on the cells that contain the observed node,


* calculation of the deviation from the reference value provided by applying the correspondence rules between :math:`{M}_{\mathit{xx}}`, :math:`{M}_{\mathit{yy}}` and :math:`{M}_{\mathit{rr}}`, :math:`{M}_{\theta \theta }` data on page 3.