Modeling E
==============


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

Shell element DKQ (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{\%})`|
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  | **Love-Kirchhoff**                                   |                                 |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+
|O                                                                                                         |'ANALYTIQUE'      |—170.6251                                             |0.5                              |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+ .. image:: images/Object_27.svg                                                                          +                  +                                                      +                                 +
|    :width: 249                                                                                           |                  |                                                      |                                 |
+    :height: 241                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+
|D                                                                                                         |'ANALYTIQUE'      |—95.9766                                              |0.5                              |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+ .. image:: images/Object_28.svg                                                                          +                  +                                                      +                                 +
|    :width: 249                                                                                           |                  |                                                      |                                 |
+    :height: 241                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+
|E                                                                                                         |'ANALYTIQUE'      |—95.9766                                              |0.5                              |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+ .. image:: images/Object_29.svg                                                                          +                  +                                                      +                                 +
|    :width: 249                                                                                           |                  |                                                      |                                 |
+    :height: 241                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+
|F                                                                                                         |'ANALYTIQUE'      |—78.897                                               |0.5                              |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+ .. image:: images/Object_30.svg                                                                          +                  +                                                      +                                 +
|    :width: 249                                                                                           |                  |                                                      |                                 |
+    :height: 241                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+



+------------------+------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|**Identification**                                                                                     |**Reference type**|**Reference values**|**Tolerance** :math:`(\text{\%})`|
+------------------+------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|O                 |                                                                                    |'ANALYTIQUE'      |—0.08125            |0.5                              |
+                  + .. image:: images/Object_32.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                     |                  |                    |                                 |
+                  +    :height: 241                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +                                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                    |'ANALYTIQUE'      |—0.08125            |0.5                              |
+                  + .. image:: images/Object_33.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                     |                  |                    |                                 |
+                  +    :height: 241                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +                                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+------------------+------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|A                 |                                                                                    |'ANALYTIQUE'      |0.125               |0.5                              |
+                  + .. image:: images/Object_34.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                     |                  |                    |                                 |
+                  +    :height: 241                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +                                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                    |'ANALYTIQUE'      |0.0375              |0.5                              |
+                  + .. image:: images/Object_35.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                     |                  |                    |                                 |
+                  +    :height: 241                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +                                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+------------------+------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|B                 |                                                                                    |'ANALYTIQUE'      |0.08125             |0.5                              |
+                  + .. image:: images/Object_36.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                     |                  |                    |                                 |
+                  +    :height: 241                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +                                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                    |'ANALYTIQUE'      |0.08125             |0.5                              |
+                  + .. image:: images/Object_37.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                     |                  |                    |                                 |
+                  +    :height: 241                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +                                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+------------------+------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|C                 |                                                                                    |'ANALYTIQUE'      |0.125               |0.5                              |
+                  + .. image:: images/Object_38.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                     |                  |                    |                                 |
+                  +    :height: 241                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +                                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                    |'ANALYTIQUE'      |0.0375              |0.5                              |
+                  + .. image:: images/Object_39.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                     |                  |                    |                                 |
+                  +    :height: 241                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +                                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+------------------+------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|D                 |                                                                                    |'ANALYTIQUE'      |—0.02969            |2.5                              |
+                  + .. image:: images/Object_40.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                     |                  |                    |                                 |
+                  +    :height: 241                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +                                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                    |'ANALYTIQUE'      |—0.05156            |3.5                              |
+                  + .. image:: images/Object_41.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                     |                  |                    |                                 |
+                  +    :height: 241                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +                                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+------------------+------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|E                 |                                                                                    |'ANALYTIQUE'      |—0.02969            |2.5                              |
+                  + .. image:: images/Object_42.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                     |                  |                    |                                 |
+                  +    :height: 241                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +                                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                    |'ANALYTIQUE'      |—0.05156            |3.5                              |
+                  + .. image:: images/Object_43.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                     |                  |                    |                                 |
+                  +    :height: 241                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +                                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+------------------+------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|F                 |                                                                                    |'ANALYTIQUE'      |—0.02925            |1.0                              |
+                  + .. image:: images/Object_44.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                     |                  |                    |                                 |
+                  +    :height: 241                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +                                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                    |'ANALYTIQUE'      |—0.02925            |1.0                              |
+                  + .. image:: images/Object_45.svg                                                    +                  +                    +                                 +
|                  |    :width: 249                                                                     |                  |                    |                                 |
+                  +    :height: 241                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+                  +                                                                                    +                  +                    +                                 +
|                  |                                                                                    |                  |                    |                                 |
+------------------+------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+