B modeling
==============


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

Shell element DKT (quarter plate modeling)


.. image:: images/1000C2CA0000136E00001231D53ED434B1D7F5C7.svg
    :width: 250
    :height: 234


.. _RefImage_1000C2CA0000136E00001231D53ED434B1D7F5C7.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 the 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", "mesh: M"
    "Point A", ""
    "Point B", ""
    "Point C", ""
    "Point D", ""
    "Point E", ""



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

Number of knots: 170

Number of meshes and types: 296 TRIA3


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


+-----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+
|**Identification**                                                                                         |**Reference type**|**Reference values**                                  |**Tolerance** :math:`(\text{\%})`|
+                                                                                                           +                  +                                                      +                                 +
|                                                                                                           |                  | **Love-Kirchhoff**                                   |                                 |
+                                                                                                           +                  +                                                      +                                 +
|                                                                                                           |                  |                                                      |                                 |
+-----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+
|O                                                                                                          |'ANALYTIQUE'      |—170.6251                                             |0.5                              |
+                                                                                                           +                  +                                                      +                                 +
|                                                                                                           |                  |                                                      |                                 |
+ .. image:: images/Object_113.svg                                                                          +                  +                                                      +                                 +
|    :width: 250                                                                                            |                  |                                                      |                                 |
+    :height: 234                                                                                           +                  +                                                      +                                 +
|                                                                                                           |                  |                                                      |                                 |
+                                                                                                           +                  +                                                      +                                 +
|                                                                                                           |                  |                                                      |                                 |
+                                                                                                           +                  +                                                      +                                 +
|                                                                                                           |                  |                                                      |                                 |
+-----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+
|D                                                                                                          |'ANALYTIQUE'      |—95.9766                                              |0.5                              |
+                                                                                                           +                  +                                                      +                                 +
|                                                                                                           |                  |                                                      |                                 |
+ .. image:: images/Object_114.svg                                                                          +                  +                                                      +                                 +
|    :width: 250                                                                                            |                  |                                                      |                                 |
+    :height: 234                                                                                           +                  +                                                      +                                 +
|                                                                                                           |                  |                                                      |                                 |
+                                                                                                           +                  +                                                      +                                 +
|                                                                                                           |                  |                                                      |                                 |
+                                                                                                           +                  +                                                      +                                 +
|                                                                                                           |                  |                                                      |                                 |
+-----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+
|E                                                                                                          |'ANALYTIQUE'      |—95.9766                                              |0.5                              |
+                                                                                                           +                  +                                                      +                                 +
|                                                                                                           |                  |                                                      |                                 |
+ .. image:: images/Object_115.svg                                                                          +                  +                                                      +                                 +
|    :width: 250                                                                                            |                  |                                                      |                                 |
+    :height: 234                                                                                           +                  +                                                      +                                 +
|                                                                                                           |                  |                                                      |                                 |
+                                                                                                           +                  +                                                      +                                 +
|                                                                                                           |                  |                                                      |                                 |
+                                                                                                           +                  +                                                      +                                 +
|                                                                                                           |                  |                                                      |                                 |
+-----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+
|F                                                                                                          |'ANALYTIQUE'      |—78.897                                               |0.5                              |
+                                                                                                           +                  +                                                      +                                 +
|                                                                                                           |                  |                                                      |                                 |
+ .. image:: images/Object_116.svg                                                                          +                  +                                                      +                                 +
|    :width: 250                                                                                            |                  |                                                      |                                 |
+    :height: 234                                                                                           +                  +                                                      +                                 +
|                                                                                                           |                  |                                                      |                                 |
+                                                                                                           +                  +                                                      +                                 +
|                                                                                                           |                  |                                                      |                                 |
+                                                                                                           +                  +                                                      +                                 +
|                                                                                                           |                  |                                                      |                                 |
+-----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+



+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|**Identification**                                                                                      |**Reference type**|**Reference values**|**Tolerance** :math:`(\text{\%})`|
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|O                 |                                                                                     |'ANALYTIQUE'      |—0.08125            |1.0                              |
+                  + .. image:: images/Object_118.svg                                                    +                  +                    +                                 +
|                  |    :width: 250                                                                      |                  |                    |                                 |
+                  +    :height: 234                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |—0.08125            |1.0                              |
+                  + .. image:: images/Object_119.svg                                                    +                  +                    +                                 +
|                  |    :width: 250                                                                      |                  |                    |                                 |
+                  +    :height: 234                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|A                 |                                                                                     |'ANALYTIQUE'      |0.125               |3.0                              |
+                  + .. image:: images/Object_120.svg                                                    +                  +                    +                                 +
|                  |    :width: 250                                                                      |                  |                    |                                 |
+                  +    :height: 234                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |0.0375              |9.0                              |
+                  + .. image:: images/Object_197.svg                                                    +                  +                    +                                 +
|                  |    :width: 250                                                                      |                  |                    |                                 |
+                  +    :height: 234                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|B                 |                                                                                     |'ANALYTIQUE'      |0.08125             |3.0                              |
+                  + .. image:: images/Object_200.svg                                                    +                  +                    +                                 +
|                  |    :width: 250                                                                      |                  |                    |                                 |
+                  +    :height: 234                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |0.08125             |3.0                              |
+                  + .. image:: images/Object_203.svg                                                    +                  +                    +                                 +
|                  |    :width: 250                                                                      |                  |                    |                                 |
+                  +    :height: 234                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|C                 |                                                                                     |'ANALYTIQUE'      |0.125               |3.0                              |
+                  + .. image:: images/Object_206.svg                                                    +                  +                    +                                 +
|                  |    :width: 250                                                                      |                  |                    |                                 |
+                  +    :height: 234                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |0.0375              |9.0                              |
+                  + .. image:: images/Object_209.svg                                                    +                  +                    +                                 +
|                  |    :width: 250                                                                      |                  |                    |                                 |
+                  +    :height: 234                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|D                 |                                                                                     |'ANALYTIQUE'      |—0.02969            |2.5                              |
+                  + .. image:: images/Object_212.svg                                                    +                  +                    +                                 +
|                  |    :width: 250                                                                      |                  |                    |                                 |
+                  +    :height: 234                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |—0.05156            |2.0                              |
+                  + .. image:: images/Object_215.svg                                                    +                  +                    +                                 +
|                  |    :width: 250                                                                      |                  |                    |                                 |
+                  +    :height: 234                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|E                 |                                                                                     |'ANALYTIQUE'      |—0.02969            |2.5                              |
+                  + .. image:: images/Object_224.svg                                                    +                  +                    +                                 +
|                  |    :width: 250                                                                      |                  |                    |                                 |
+                  +    :height: 234                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |—0.05156            |2.5                              |
+                  + .. image:: images/Object_225.svg                                                    +                  +                    +                                 +
|                  |    :width: 250                                                                      |                  |                    |                                 |
+                  +    :height: 234                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|F                 |                                                                                     |'ANALYTIQUE'      |—0.02925            |2.5                              |
+                  + .. image:: images/Object_226.svg                                                    +                  +                    +                                 +
|                  |    :width: 250                                                                      |                  |                    |                                 |
+                  +    :height: 234                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |—0.02925            |2.5                              |
+                  + .. image:: images/Object_227.svg                                                    +                  +                    +                                 +
|                  |    :width: 250                                                                      |                  |                    |                                 |
+                  +    :height: 234                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+