Modeling A
==============


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

Shell element DKT (quarter plate modeling)

Number of layers: COQUE_NCOU = 3


.. image:: images/100082DA000012660000115DC843F035636DB5FC.svg
    :width: 237
    :height: 224


.. _RefImage_100082DA000012660000115DC843F035636DB5FC.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: M30, M33"
    "Point A", "meshes: M76"
    "Point B", "meshes: M39, M40, M51"
    "Point C", "meshes: M1"
    "Point D", "meshes: M55, M56, M65"
    "Point E", "meshes: M8, M17, M18"
    "Point F", "meshes: M34, M35, M35, M37, M41, M46, M47, M48"



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

Number of knots: 50

Number of meshes and types: 76 TRIA3


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


+----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+
|**Identification**                                                                                        |**Reference type**|**Reference values**                                  |**Tolerance** :math:`(\text{\%})`|
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  | **Love-Kirchhoff**                                   |                                 |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+
|O                                                                                                         |'ANALYTIQUE'      |—170.6251                                             |1.0                              |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+ .. image:: images/Object_11.svg                                                                          +                  +                                                      +                                 +
|    :width: 237                                                                                           |                  |                                                      |                                 |
+    :height: 224                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+
|D                                                                                                         |'ANALYTIQUE'      |—95.9766                                              |0.75                             |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+ .. image:: images/Object_12.svg                                                                          +                  +                                                      +                                 +
|    :width: 237                                                                                           |                  |                                                      |                                 |
+    :height: 224                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+
|E                                                                                                         |'ANALYTIQUE'      |—95.9766                                              |0.75                             |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+ .. image:: images/Object_13.svg                                                                          +                  +                                                      +                                 +
|    :width: 237                                                                                           |                  |                                                      |                                 |
+    :height: 224                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+
|F                                                                                                         |'ANALYTIQUE'      |—78.897                                               |0.5                              |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+ .. image:: images/Object_14.svg                                                                          +                  +                                                      +                                 +
|    :width: 237                                                                                           |                  |                                                      |                                 |
+    :height: 224                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+                                                                                                          +                  +                                                      +                                 +
|                                                                                                          |                  |                                                      |                                 |
+----------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+



+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|**Identification**                                                                                      |**Reference type**|**Reference values**|**Tolerance** :math:`(\text{\%})`|
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|O                 |                                                                                     |'ANALYTIQUE'      |—0.08125            |3.0                              |
+                  + .. image:: images/Object_198.svg                                                    +                  +                    +                                 +
|                  |    :width: 237                                                                      |                  |                    |                                 |
+                  +    :height: 224                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |—0.08125            |3.0                              |
+                  + .. image:: images/Object_199.svg                                                    +                  +                    +                                 +
|                  |    :width: 237                                                                      |                  |                    |                                 |
+                  +    :height: 224                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|A                 |                                                                                     |'ANALYTIQUE'      |0.125               |2.0                              |
+                  + .. image:: images/Object_195.svg                                                    +                  +                    +                                 +
|                  |    :width: 237                                                                      |                  |                    |                                 |
+                  +    :height: 224                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |0.0375              |2.0                              |
+                  + .. image:: images/Object_196.svg                                                    +                  +                    +                                 +
|                  |    :width: 237                                                                      |                  |                    |                                 |
+                  +    :height: 224                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|B                 |                                                                                     |'ANALYTIQUE'      |0.08125             |5.0                              |
+                  + .. image:: images/Object_201.svg                                                    +                  +                    +                                 +
|                  |    :width: 237                                                                      |                  |                    |                                 |
+                  +    :height: 224                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |0.08125             |5.0                              |
+                  + .. image:: images/Object_202.svg                                                    +                  +                    +                                 +
|                  |    :width: 237                                                                      |                  |                    |                                 |
+                  +    :height: 224                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|C                 |                                                                                     |'ANALYTIQUE'      |0.125               |2.0                              |
+                  + .. image:: images/Object_204.svg                                                    +                  +                    +                                 +
|                  |    :width: 237                                                                      |                  |                    |                                 |
+                  +    :height: 224                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |0.0375              |2.0                              |
+                  + .. image:: images/Object_205.svg                                                    +                  +                    +                                 +
|                  |    :width: 237                                                                      |                  |                    |                                 |
+                  +    :height: 224                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|D                 |                                                                                     |'ANALYTIQUE'      |—0.02969            |7.0                              |
+                  + .. image:: images/Object_207.svg                                                    +                  +                    +                                 +
|                  |    :width: 237                                                                      |                  |                    |                                 |
+                  +    :height: 224                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |—0.05156            |3.5                              |
+                  + .. image:: images/Object_208.svg                                                    +                  +                    +                                 +
|                  |    :width: 237                                                                      |                  |                    |                                 |
+                  +    :height: 224                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|E                 |                                                                                     |'ANALYTIQUE'      |—0.02969            |7.0                              |
+                  + .. image:: images/Object_210.svg                                                    +                  +                    +                                 +
|                  |    :width: 237                                                                      |                  |                    |                                 |
+                  +    :height: 224                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |—0.05156            |3.5                              |
+                  + .. image:: images/Object_211.svg                                                    +                  +                    +                                 +
|                  |    :width: 237                                                                      |                  |                    |                                 |
+                  +    :height: 224                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|F                 |                                                                                     |'ANALYTIQUE'      |—0.02925            |3.5                              |
+                  + .. image:: images/Object_213.svg                                                    +                  +                    +                                 +
|                  |    :width: 237                                                                      |                  |                    |                                 |
+                  +    :height: 224                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |                                                                                     |'ANALYTIQUE'      |—0.02925            |4.5                              |
+                  + .. image:: images/Object_214.svg                                                    +                  +                    +                                 +
|                  |    :width: 237                                                                      |                  |                    |                                 |
+                  +    :height: 224                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+                  +                                                                                     +                  +                    +                                 +
|                  |                                                                                     |                  |                    |                                 |
+------------------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+

We also test:


* the continuity of fields EPSI_ELGA and EPSI_ELNO between layers (non-regression tests). In fact, the value calculated at level SUP of the N layer is equal to the value calculated at the INF level of the COUCHE N+1,


* the volume distribution of component SIYY (non-regression tests) of fields SIEF_ELGA and SIGM_ELNO as well as the volume of the circular plate.