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


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

Shell element DKQ (quarter plate modeling)


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


.. csv-table::

    "in all the nodes of the arc :math:`\mathrm{ABC}` ", ":", "DX: 0. , BY: 0. , Z: 0."
    "in all the nodes in segment :math:`\left]\mathrm{OA}\right[` ", ":", "DY: 0. , DRX :0. , DRZ :0."
    "in all the nodes in segment :math:`\left]\mathrm{OC}\right[` ", ":", "DX: 0. , DRY :0. , DRZ :0."
    "to node :math:`O` ", ":", "DX: 0. , BY: 0. , DRX :0. , DRY :0. , DRZ :0."



.. csv-table::

    "Point :math:`O` ", "stitches: :math:`\mathrm{M1}`"
    "Point :math:`A` ", "stitches: :math:`\mathrm{M147}`"
    "Point :math:`B` ", "stitches: :math:`\mathrm{M98}\mathrm{M111}`"
    "Point :math:`C` ", "stitches: :math:`\mathrm{M14}`"
    "Point :math:`D` ", "stitches: :math:`\mathrm{M85}\mathrm{M99}`"
    "Point :math:`E` ", "stitches: :math:`\mathrm{M7}\mathrm{M8}`"
    "Point :math:`F` ", "stitches: :math:`\mathrm{M91}\mathrm{M92}\mathrm{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**|
+--------------------------------------------------------------------------------------------------------+------------------+--------------------+-------------+
|O                                                                                                       |'ANALYTIQUE'      |— 695.6256          |0.1%         |
+                                                                                                        +                  +                    +             +
|                                                                                                        |                  |                    |             |
+ .. image:: images/Object_28.svg                                                                        +                  +                    +             +
|    :width: 33                                                                                          |                  |                    |             |
+    :height: 21                                                                                         +                  +                    +             +
|                                                                                                        |                  |                    |             |
+                                                                                                        +                  +                    +             +
|                                                                                                        |                  |                    |             |
+                                                                                                        +                  +                    +             +
|                                                                                                        |                  |                    |             |
+--------------------------------------------------------------------------------------------------------+------------------+--------------------+-------------+
|D                                                                                                       |'ANALYTIQUE'      |—489,727            |0.15%        |
+                                                                                                        +                  +                    +             +
|                                                                                                        |                  |                    |             |
+ .. image:: images/Object_38.svg                                                                        +                  +                    +             +
|    :width: 33                                                                                          |                  |                    |             |
+    :height: 21                                                                                         +                  +                    +             +
|                                                                                                        |                  |                    |             |
+                                                                                                        +                  +                    +             +
|                                                                                                        |                  |                    |             |
+                                                                                                        +                  +                    +             +
|                                                                                                        |                  |                    |             |
+--------------------------------------------------------------------------------------------------------+------------------+--------------------+-------------+
|E                                                                                                       |'ANALYTIQUE'      |—489,727            |0.15%        |
+                                                                                                        +                  +                    +             +
|                                                                                                        |                  |                    |             |
+ .. image:: images/Object_39.svg                                                                        +                  +                    +             +
|    :width: 33                                                                                          |                  |                    |             |
+    :height: 21                                                                                         +                  +                    +             +
|                                                                                                        |                  |                    |             |
+                                                                                                        +                  +                    +             +
|                                                                                                        |                  |                    |             |
+                                                                                                        +                  +                    +             +
|                                                                                                        |                  |                    |             |
+--------------------------------------------------------------------------------------------------------+------------------+--------------------+-------------+
|F                                                                                                       |'ANALYTIQUE'      |— 435.8974          |0.15%        |
+                                                                                                        +                  +                    +             +
|                                                                                                        |                  |                    |             |
+ .. image:: images/Object_40.svg                                                                        +                  +                    +             +
|    :width: 33                                                                                          |                  |                    |             |
+    :height: 21                                                                                         +                  +                    +             +
|                                                                                                        |                  |                    |             |
+                                                                                                        +                  +                    +             +
|                                                                                                        |                  |                    |             |
+                                                                                                        +                  +                    +             +
|                                                                                                        |                  |                    |             |
+--------------------------------------------------------------------------------------------------------+------------------+--------------------+-------------+



+------------------+----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|**Identification**                                                                                   |**Reference type**|**Reference values**|**Tolerance**|
+------------------+----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|O                 |                                                                                  |'ANALYTIQUE'      |—0.20625            |0.1%         |
+                  + .. image:: images/Object_29.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                    |                  |                    |             |
+                  +    :height: 21                                                                   +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +                                                                                  +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|                  |                                                                                  |'ANALYTIQUE'      |—0.20625            |0.1%         |
+                  + .. image:: images/Object_30.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                    |                  |                    |             |
+                  +    :height: 21                                                                   +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +                                                                                  +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+------------------+----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|A                 |                                                                                  |'ANALYTIQUE'      |                    |0.0004       |
+                  + .. image:: images/Object_82.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                    |                  |                    |             |
+                  +    :height: 21                                                                   +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +                                                                                  +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|                  |                                                                                  |'ANALYTIQUE'      |—0.0875             |0.5%         |
+                  + .. image:: images/Object_83.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                    |                  |                    |             |
+                  +    :height: 21                                                                   +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +                                                                                  +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+------------------+----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|B                 |                                                                                  |'ANALYTIQUE'      |—0.04375            |1.1%         |
+                  + .. image:: images/Object_92.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                    |                  |                    |             |
+                  +    :height: 21                                                                   +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +                                                                                  +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|                  |                                                                                  |'ANALYTIQUE'      |—0.04375            |1.1%         |
+                  + .. image:: images/Object_93.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                    |                  |                    |             |
+                  +    :height: 21                                                                   +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +                                                                                  +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+------------------+----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|C                 |                                                                                  |'ANALYTIQUE'      |                    |0.0004       |
+                  + .. image:: images/Object_95.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                    |                  |                    |             |
+                  +    :height: 21                                                                   +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +                                                                                  +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|                  |                                                                                  |'ANALYTIQUE'      |—0.0875             |0.5%         |
+                  + .. image:: images/Object_96.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                    |                  |                    |             |
+                  +    :height: 21                                                                   +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +                                                                                  +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+------------------+----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|D                 |                                                                                  |'ANALYTIQUE'      |—0.15469            |0.1%         |
+                  + .. image:: images/Object_31.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                    |                  |                    |             |
+                  +    :height: 21                                                                   +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +                                                                                  +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|                  |                                                                                  |'ANALYTIQUE'      |—0.17656            |0.1%         |
+                  + .. image:: images/Object_34.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                    |                  |                    |             |
+                  +    :height: 21                                                                   +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +                                                                                  +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+------------------+----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|E                 |                                                                                  |'ANALYTIQUE'      |—0.15469            |0.5%         |
+                  + .. image:: images/Object_37.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                    |                  |                    |             |
+                  +    :height: 21                                                                   +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +                                                                                  +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|                  |                                                                                  |'ANALYTIQUE'      |—0.17656            |0.1%         |
+                  + .. image:: images/Object_55.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                    |                  |                    |             |
+                  +    :height: 21                                                                   +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +                                                                                  +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+------------------+----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|F                 |                                                                                  |'ANALYTIQUE'      |—0.14025            |0.35%        |
+                  + .. image:: images/Object_58.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                    |                  |                    |             |
+                  +    :height: 21                                                                   +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +                                                                                  +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +----------------------------------------------------------------------------------+------------------+--------------------+-------------+
|                  |                                                                                  |'ANALYTIQUE'      |—0.16825            |0.35%        |
+                  + .. image:: images/Object_68.svg                                                  +                  +                    +             +
|                  |    :width: 33                                                                    |                  |                    |             |
+                  +    :height: 21                                                                   +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+                  +                                                                                  +                  +                    +             +
|                  |                                                                                  |                  |                    |             |
+------------------+----------------------------------------------------------------------------------+------------------+--------------------+-------------+