Modeling I
==============


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

Axisymmetric shell element SEG3, in Love-Kirchhoff theory: no metric modification is considered, the coefficient A_ CIS is equal to 106.


.. image:: images/100007040000175C00000D20EB70BF54C5E8EBAA.svg
    :width: 301
    :height: 169


.. _RefImage_100007040000175C00000D20EB70BF54C5E8EBAA.svg:

Boundary conditions:


.. code-block:: text
 DDL_IMPO =( _F
(NOEUD = 'A', DX: 0. , BY: 0. , DRZ: 0.)
(NOEUD = 'O', DRZ: 0.))


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

Number of knots: 21

Number of meshes and types: 10 SEG3


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


+-----------------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+
|**Identification**                                                                                               |**Reference type**|**Reference values**                                  |**Tolerance** :math:`(\text{\%})`|
+                                                                                                                 +                  +                                                      +                                 +
|                                                                                                                 |                  | **Love-Kirchhoff**                                   |                                 |
+                                                                                                                 +                  +                                                      +                                 +
|                                                                                                                 |                  |                                                      |                                 |
+-----------------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+
|Arrow                                                                                                            |'ANALYTIQUE'      |—170.6251                                             |0.6                              |
+                                                                                                                 +                  +                                                      +                                 +
|                                                                                                                 |                  |                                                      |                                 |
+ .. image:: images/Object_15.svg                                                                                 +                  +                                                      +                                 +
|    :width: 301                                                                                                  |                  |                                                      |                                 |
+    :height: 169                                                                                                 +                  +                                                      +                                 +
|                                                                                                                 |                  |                                                      |                                 |
+                                                                                                                 +                  +                                                      +                                 +
|                                                                                                                 |                  |                                                      |                                 |
+                                                                                                                 +                  +                                                      +                                 +
|                                                                                                                 |                  |                                                      |                                 |
+-----------------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+
|Arrow                                                                                                            |'ANALYTIQUE'      |—95.9765                                              |1.0                              |
+                                                                                                                 +                  +                                                      +                                 +
|                                                                                                                 |                  |                                                      |                                 |
+ .. image:: images/Object_16.svg                                                                                 +                  +                                                      +                                 +
|    :width: 301                                                                                                  |                  |                                                      |                                 |
+    :height: 169                                                                                                 +                  +                                                      +                                 +
|                                                                                                                 |                  |                                                      |                                 |
+                                                                                                                 +                  +                                                      +                                 +
|                                                                                                                 |                  |                                                      |                                 |
+                                                                                                                 +                  +                                                      +                                 +
|                                                                                                                 |                  |                                                      |                                 |
+-----------------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+
|Rotation                                                                                                         |'ANALYTIQUE'      |255.940                                               |0.6                              |
+                                                                                                                 +                  +                                                      +                                 +
|                                                                                                                 |                  |                                                      |                                 |
+ .. image:: images/Object_18.svg                                                                                 +                  +                                                      +                                 +
|    :width: 301                                                                                                  |                  |                                                      |                                 |
+    :height: 169                                                                                                 +                  +                                                      +                                 +
|                                                                                                                 |                  |                                                      |                                 |
+                                                                                                                 +                  +                                                      +                                 +
|                                                                                                                 |                  |                                                      |                                 |
+                                                                                                                 +                  +                                                      +                                 +
|                                                                                                                 |                  |                                                      |                                 |
+-----------------------------------------------------------------------------------------------------------------+------------------+------------------------------------------------------+---------------------------------+



+------------------+------+------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|**Identification**                                                                                            |**Reference type**|**Reference values**|**Tolerance** :math:`(\text{\%})`|
+------------------+------+------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|Point             |Maille|Component                                                                           |                  |                    |                                 |
+------------------+------+------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|D                 |IJK   |                                                                                    |'ANALYTIQUE'      |170.625             |                                 |
+                  +      + .. image:: images/Object_17.svg                                                    +                  +                    +                                 +
|                  |      |    :width: 301                                                                     |                  |                    |                                 |
+                  +      +    :height: 169                                                                    +                  +                    +                                 +
|                  |      |                                                                                    |                  |                    |                                 |
+                  +      +                                                                                    +                  +                    +                                 +
|                  |      |                                                                                    |                  |                    |                                 |
+                  +      +------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |      |                                                                                    |'ANALYTIQUE'      |511.875             |0.5                              |
+                  +      + .. image:: images/Object_19.svg                                                    +                  +                    +                                 +
|                  |      |    :width: 301                                                                     |                  |                    |                                 |
+                  +      +    :height: 169                                                                    +                  +                    +                                 +
|                  |      |                                                                                    |                  |                    |                                 |
+                  +      +                                                                                    +                  +                    +                                 +
|                  |      |                                                                                    |                  |                    |                                 |
+                  +------+------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |KLM   |                                                                                    |'ANALYTIQUE'      |170.625             |60                               |
+                  +      + .. image:: images/Object_79.svg                                                    +                  +                    +                                 +
|                  |      |    :width: 301                                                                     |                  |                    |                                 |
+                  +      +    :height: 169                                                                    +                  +                    +                                 +
|                  |      |                                                                                    |                  |                    |                                 |
+                  +      +                                                                                    +                  +                    +                                 +
|                  |      |                                                                                    |                  |                    |                                 |
+                  +      +------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |      |                                                                                    |'ANALYTIQUE'      |511.875             |0.5                              |
+                  +      + .. image:: images/Object_80.svg                                                    +                  +                    +                                 +
|                  |      |    :width: 301                                                                     |                  |                    |                                 |
+                  +      +    :height: 169                                                                    +                  +                    +                                 +
|                  |      |                                                                                    |                  |                    |                                 |
+                  +      +                                                                                    +                  +                    +                                 +
|                  |      |                                                                                    |                  |                    |                                 |
+------------------+------+------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+


+------------------+------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|**Identification**                                                                                             |**Reference type**|**Reference values**|**Tolerance** :math:`(\text{\%})`|
+------------------+------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|Point             |Maille|Component                                                                            |                  |                    |                                 |
+------------------+------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|O                 |STU   |                                                                                     |'ANALYTIQUE'      |—0.08125            |0.5                              |
+                  +      + .. image:: images/Object_124.svg                                                    +                  +                    +                                 +
|                  |      |    :width: 301                                                                      |                  |                    |                                 |
+                  +      +    :height: 169                                                                     +                  +                    +                                 +
|                  |      |                                                                                     |                  |                    |                                 |
+                  +      +                                                                                     +                  +                    +                                 +
|                  |      |                                                                                     |                  |                    |                                 |
+                  +      +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |      |                                                                                     |'ANALYTIQUE'      |—0.08125            |0.5                              |
+                  +      + .. image:: images/Object_127.svg                                                    +                  +                    +                                 +
|                  |      |    :width: 301                                                                      |                  |                    |                                 |
+                  +      +    :height: 169                                                                     +                  +                    +                                 +
|                  |      |                                                                                     |                  |                    |                                 |
+                  +      +                                                                                     +                  +                    +                                 +
|                  |      |                                                                                     |                  |                    |                                 |
+------------------+------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|A                 |ABC   |                                                                                     |'ANALYTIQUE'      |0.125               |15.0                             |
+                  +      + .. image:: images/Object_128.svg                                                    +                  +                    +                                 +
|                  |      |    :width: 301                                                                      |                  |                    |                                 |
+                  +      +    :height: 169                                                                     +                  +                    +                                 +
|                  |      |                                                                                     |                  |                    |                                 |
+                  +      +                                                                                     +                  +                    +                                 +
|                  |      |                                                                                     |                  |                    |                                 |
+                  +      +-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |      |                                                                                     |'ANALYTIQUE'      |0.0375              |15.0                             |
+                  +      + .. image:: images/Object_264.svg                                                    +                  +                    +                                 +
|                  |      |    :width: 301                                                                      |                  |                    |                                 |
+                  +      +    :height: 169                                                                     +                  +                    +                                 +
|                  |      |                                                                                     |                  |                    |                                 |
+                  +      +                                                                                     +                  +                    +                                 +
|                  |      |                                                                                     |                  |                    |                                 |
+------------------+------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|D                 |IJK   |                                                                                     |'ANALYTIQUE'      |—0.05156            |6.0                              |
+                  +      + .. image:: images/Object_266.svg                                                    +                  +                    +                                 +
|                  |      |    :width: 301                                                                      |                  |                    |                                 |
+                  +      +    :height: 169                                                                     +                  +                    +                                 +
|                  |      |                                                                                     |                  |                    |                                 |
+                  +      +                                                                                     +                  +                    +                                 +
|                  |      |                                                                                     |                  |                    |                                 |
+                  +------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+
|                  |KLM   |                                                                                     |'ANALYTIQUE'      |—0.05156            |6.0                              |
+                  +      + .. image:: images/Object_268.svg                                                    +                  +                    +                                 +
|                  |      |    :width: 301                                                                      |                  |                    |                                 |
+                  +      +    :height: 169                                                                     +                  +                    +                                 +
|                  |      |                                                                                     |                  |                    |                                 |
+                  +      +                                                                                     +                  +                    +                                 +
|                  |      |                                                                                     |                  |                    |                                 |
+------------------+------+-------------------------------------------------------------------------------------+------------------+--------------------+---------------------------------+

**Notes:**

*We note the good results obtained, except on*

.. image:: images/Object_104.svg
    :width: 301
    :height: 169


.. _RefImage_Object_104.svg:

*and*

.. image:: images/Object_105.svg
    :width: 301
    :height: 169


.. _RefImage_Object_105.svg:

*, which involve higher-order derivatives that are less well calculated by the element.*


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

Generalized movements, deformations and forces and stresses at the nodes.