S modeling
==============


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

Q4GG quadrangular shell element.


.. image:: images/Shape1.gif


.. _RefSchema_Shape1.gif:

Boundary conditions:

.. csv-table::

    "DDL_IMPO"
    "(GROUP_NO: AB, DX: 0. , DZ: 0. , DRY :0.)"
    "(GROUP_NO: BC, DY: 0. , DZ: 0. , DRX :0.)"
    "(GROUP_NO: CD, DX: 0. , DZ: 0. , DRY :0.)"
    "(GROUP_NO: DA, DY: 0. , DZ: 0. , DRX :0.)"
    "(GROUP_NO: O, DX: 0. , BY: 0. , DRX :0. , DRY :0. , DRZ :0.)"
    "FORCE_ARETE"
    "(GROUP_NO: AB MY:0.)"
    "(GROUP_NO: BC MX:0.)"
    "(GROUP_NO: CDMY:0.)"
    "(GROUP_NO: BY MAX:0.)"



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

Number of knots: 171

Number of meshes and type: 144 QUAD4


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


+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|**Identification**                                                                                                                                                                                                                            |
+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Point O           |:math:`(\mathit{M115})`|:math:`{N}_{\mathit{xx}}`, :math:`{N}_{\mathit{yy}}`, :math:`{N}_{\mathit{xy}}`, :math:`{M}_{\mathit{xx}}`, :math:`{M}_{\mathit{yy}}`,, :math:`{M}_{\mathit{xy}}`, :math:`{T}_{x}`, :math:`{T}_{y}`|
+                  +-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                  |:math:`(\mathit{M128})`|:math:`{T}_{x}`, :math:`{T}_{y}`                                                                                                                                                                   |
+                  +-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                  |:math:`(\mathit{M116})`|:math:`{T}_{x}`, :math:`{T}_{y}`                                                                                                                                                                   |
+                  +-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                  |:math:`(\mathit{M127})`|:math:`{T}_{x}`, :math:`{T}_{y}`                                                                                                                                                                   |
+                  +-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                  |                       |:math:`\mathit{DZ}`                                                                                                                                                                                |
+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+


+------------------+----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|**Identification**                                                                                                                                                                                                                           |
+------------------+----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Point A           |:math:`(\mathit{M50})`|:math:`{N}_{\mathit{xx}}`, :math:`{N}_{\mathit{yy}}`, :math:`{N}_{\mathit{xy}}`, :math:`{M}_{\mathit{xx}}`, :math:`{M}_{\mathit{yy}}`,, :math:`{M}_{\mathit{xy}}`, :math:`{T}_{x}`, :math:`{T}_{y}`|
+------------------+----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Point B           |:math:`(\mathit{M61})`|:math:`{N}_{\mathit{xx}}`, :math:`{N}_{\mathit{yy}}`, :math:`{N}_{\mathit{xy}}`, :math:`{M}_{\mathit{xx}}`, :math:`{M}_{\mathit{yy}}`,, :math:`{M}_{\mathit{xy}}`, :math:`{T}_{x}`, :math:`{T}_{y}`|
+------------------+----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+


+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|**Identification**                                                                                                                                                                                                                            |
+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Point C           |:math:`(\mathit{M193})`|:math:`{N}_{\mathit{xx}}`, :math:`{N}_{\mathit{yy}}`, :math:`{N}_{\mathit{xy}}`, :math:`{M}_{\mathit{xx}}`, :math:`{M}_{\mathit{yy}}`,, :math:`{M}_{\mathit{xy}}`, :math:`{T}_{x}`, :math:`{T}_{y}`|
+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Point D           |:math:`(\mathit{M182})`|:math:`{N}_{\mathit{xx}}`, :math:`{N}_{\mathit{yy}}`, :math:`{N}_{\mathit{xy}}`, :math:`{M}_{\mathit{xx}}`, :math:`{M}_{\mathit{yy}}`,, :math:`{M}_{\mathit{xy}}`, :math:`{T}_{x}`, :math:`{T}_{y}`|
+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+


+------------------+----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|**Identification**                                                                                                                                                                                                                           |
+------------------+----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Point B1          |:math:`(\mathit{M55})`|:math:`{N}_{\mathit{xx}}`, :math:`{N}_{\mathit{yy}}`, :math:`{N}_{\mathit{xy}}`, :math:`{M}_{\mathit{xx}}`, :math:`{M}_{\mathit{yy}}`,, :math:`{M}_{\mathit{xy}}`, :math:`{T}_{x}`, :math:`{T}_{y}`|
+                  +----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                  |:math:`(\mathit{M56})`|:math:`{N}_{\mathit{xx}}`, :math:`{N}_{\mathit{yy}}`, :math:`{N}_{\mathit{xy}}`, :math:`{M}_{\mathit{xx}}`, :math:`{M}_{\mathit{yy}}`,, :math:`{M}_{\mathit{xy}}`, :math:`{T}_{x}`, :math:`{T}_{y}`|
+------------------+----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+


+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|**Identification**                                                                                                                                                                                                                            |
+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Point D1          |:math:`(\mathit{M122})`|:math:`{T}_{x}`, :math:`{T}_{y}`                                                                                                                                                                   |
+                  +                       +---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                  |                       |                                                                                                                                                                                                   |
+                  +-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                  |:math:`(\mathit{M110})`|:math:`{N}_{\mathit{xx}}`, :math:`{N}_{\mathit{yy}}`, :math:`{N}_{\mathit{xy}}`, :math:`{M}_{\mathit{xx}}`, :math:`{M}_{\mathit{yy}}`,, :math:`{M}_{\mathit{xy}}`, :math:`{T}_{x}`, :math:`{T}_{y}`|
+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+