U modeling
==============


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

Q4GG quadrangular and triangular shell element.


.. image:: images/1000000000000201000001F4C1E02C334FED1E8E.png
    :width: 3.4689in
    :height: 3.3807in


.. _RefImage_1000000000000201000001F4C1E02C334FED1E8E.png:

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: 72 QUAD4, 144 TRIA3


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


+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|**Identification**                                                                                                                                                                                                                            |
+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Point :math:`O`   |:math:`(\mathit{M258})`|: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{M54})` |:math:`{T}_{x}`, :math:`{T}_{y}`                                                                                                                                                                   |
+                  +-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                  |:math:`(\mathit{M126})`|:math:`{T}_{x}`, :math:`{T}_{y}`                                                                                                                                                                   |
+                  +-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                  |                       |:math:`\mathit{DZ}`                                                                                                                                                                                |
+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+


+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|**Identification**                                                                                                                                                                                                                            |
+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Point :math:`C`   |:math:`(\mathit{M108})`|: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**                                       |
+-----------------------+-------+-------------------------+
|:math:`(\mathit{M126})`|Point 1|:math:`{M}_{\mathit{xx}}`|
+-----------------------+-------+-------------------------+
|:math:`(\mathit{M259})`|Point 3|:math:`{M}_{\mathit{yy}}`|
+-----------------------+-------+-------------------------+


notes
---------

In this modeling, we verify that it is possible to calculate the generalized constraints.

(:math:`N`, :math:`M`, :math:`T`) from a travel field coming from Europlexus.