H modeling
==============


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

Q4G shell element (quarter plate modeling)


.. image:: images/10000A6800001354000012B5963FBD92AA84E57E.svg
    :width: 249
    :height: 241


.. _RefImage_10000A6800001354000012B5963FBD92AA84E57E.svg:


.. csv-table::

    "Boundary conditions:", "DDL_IMPO"
    "at all the nodes of the arc ABC ", "(GROUP_NO = 'ABC', DX= 0. , DY= 0. , DZ= 0.)
    DRX =0. , DRY =0. , DRZ =0.)"
    "at all nodes in the segment] OA [", "(GROUP_NO = 'OA', DY= 0. , DRX =0. , DRZ =0.)"
    "at all the nodes in the segment] OC [", "(GROUP_NO = 'OC', DX= 0. , DRY =0. , DRZ =0.)"
    "to node O", "(GROUP_NO = 'O" DX= 0. , DY= 0. ,
    DRX =0. , DRY =0. , DRZ =0.)"



.. csv-table::

    "Point O", "meshes: M1"
    "Point A", "meshes: M147"
    "Point B", "meshes: M98 M111"
    "Point C", "meshes: M14"
    "Point D", "meshes: M85 M99"
    "Point E", "meshes: M7 M8"
    "Point F", "meshes: M91 M92 M105"



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

Number of knots: 169

Number of meshes and types: 147 QUAD4


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


+-----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------+---------------------------------+
|**Identification**                                                                                         |**Reference type**|**Reference values**                            |**Tolerance** :math:`(\text{\%})`|
+                                                                                                           +                  +                                                +                                 +
|                                                                                                           |                  | **Reissner**                                   |                                 |
+                                                                                                           +                  +                                                +                                 +
|                                                                                                           |                  |                                                |                                 |
+-----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------+---------------------------------+
|O                                                                                                          |'ANALYTIQUE'      |—178.419                                        |0.4                              |
+                                                                                                           +                  +                                                +                                 +
|                                                                                                           |                  |                                                |                                 |
+ .. image:: images/Object_96.svg                                                                           +                  +                                                +                                 +
|    :width: 249                                                                                            |                  |                                                |                                 |
+    :height: 241                                                                                           +                  +                                                +                                 +
|                                                                                                           |                  |                                                |                                 |
+                                                                                                           +                  +                                                +                                 +
|                                                                                                           |                  |                                                |                                 |
+                                                                                                           +                  +                                                +                                 +
|                                                                                                           |                  |                                                |                                 |
+-----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------+---------------------------------+
|D                                                                                                          |'ANALYTIQUE'      |—101.82                                         |0.4                              |
+                                                                                                           +                  +                                                +                                 +
|                                                                                                           |                  |                                                |                                 |
+ .. image:: images/Object_99.svg                                                                           +                  +                                                +                                 +
|    :width: 249                                                                                            |                  |                                                |                                 |
+    :height: 241                                                                                           +                  +                                                +                                 +
|                                                                                                           |                  |                                                |                                 |
+                                                                                                           +                  +                                                +                                 +
|                                                                                                           |                  |                                                |                                 |
+                                                                                                           +                  +                                                +                                 +
|                                                                                                           |                  |                                                |                                 |
+-----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------+---------------------------------+
|E                                                                                                          |'ANALYTIQUE'      |—101.82                                         |0.4                              |
+                                                                                                           +                  +                                                +                                 +
|                                                                                                           |                  |                                                |                                 |
+ .. image:: images/Object_102.svg                                                                          +                  +                                                +                                 +
|    :width: 249                                                                                            |                  |                                                |                                 |
+    :height: 241                                                                                           +                  +                                                +                                 +
|                                                                                                           |                  |                                                |                                 |
+                                                                                                           +                  +                                                +                                 +
|                                                                                                           |                  |                                                |                                 |
+                                                                                                           +                  +                                                +                                 +
|                                                                                                           |                  |                                                |                                 |
+-----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------+---------------------------------+
|F                                                                                                          |'ANALYTIQUE'      |—84.198                                         |0.4                              |
+                                                                                                           +                  +                                                +                                 +
|                                                                                                           |                  |                                                |                                 |
+ .. image:: images/Object_217.svg                                                                          +                  +                                                +                                 +
|    :width: 249                                                                                            |                  |                                                |                                 |
+    :height: 241                                                                                           +                  +                                                +                                 +
|                                                                                                           |                  |                                                |                                 |
+                                                                                                           +                  +                                                +                                 +
|                                                                                                           |                  |                                                |                                 |
+                                                                                                           +                  +                                                +                                 +
|                                                                                                           |                  |                                                |                                 |
+-----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------+---------------------------------+



+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|**Identification**                                                                                      |**Reference type**|**Reference values**|**Tolerance** :math:`(\text{\%})`|
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|O                 |                                                                                     |'ANALYTIQUE'      |—0.08125            |0.1                              |
+                  + .. image:: images/Object_220.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                      |                  |                    |                                 |
+                  +    :height: 241                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |—0.08125            |0.1                              |
+                  + .. image:: images/Object_223.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                      |                  |                    |                                 |
+                  +    :height: 241                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|A                 |                                                                                     |'ANALYTIQUE'      |0.125               |11.0                             |
+                  + .. image:: images/Object_228.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                      |                  |                    |                                 |
+                  +    :height: 241                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |0.0375              |11.0                             |
+                  + .. image:: images/Object_229.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                      |                  |                    |                                 |
+                  +    :height: 241                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|B                 |                                                                                     |'ANALYTIQUE'      |0.08125             |11.0                             |
+                  + .. image:: images/Object_230.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                      |                  |                    |                                 |
+                  +    :height: 241                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |0.08125             |11.0                             |
+                  + .. image:: images/Object_231.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                      |                  |                    |                                 |
+                  +    :height: 241                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|C                 |                                                                                     |'ANALYTIQUE'      |0.125               |11.0                             |
+                  + .. image:: images/Object_232.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                      |                  |                    |                                 |
+                  +    :height: 241                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |0.0375              |11.0                             |
+                  + .. image:: images/Object_233.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                      |                  |                    |                                 |
+                  +    :height: 241                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|D                 |                                                                                     |'ANALYTIQUE'      |—0.02969            |0.5                              |
+                  + .. image:: images/Object_234.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                      |                  |                    |                                 |
+                  +    :height: 241                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |—0.05156            |1.5                              |
+                  + .. image:: images/Object_235.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                      |                  |                    |                                 |
+                  +    :height: 241                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|E                 |                                                                                     |'ANALYTIQUE'      |—0.02969            |0.5                              |
+                  + .. image:: images/Object_236.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                      |                  |                    |                                 |
+                  +    :height: 241                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |—0.05156            |1.5                              |
+                  + .. image:: images/Object_237.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                      |                  |                    |                                 |
+                  +    :height: 241                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|F                 |                                                                                     |'ANALYTIQUE'      |—0.02925            |1.0                              |
+                  + .. image:: images/Object_238.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                      |                  |                    |                                 |
+                  +    :height: 241                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |—0.02925            |1.0                              |
+                  + .. image:: images/Object_239.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                      |                  |                    |                                 |
+                  +    :height: 241                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+


Contents of the results file
----------------------------

Values at the observation points of the movements and averaged moments.