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


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

Quadrangular shell element DSQ. The plate is modelled with a :math:`24\mathrm{\times }24` mesh.

The user coordinate system is confused with the orthotropy coordinate system.


.. image:: images/10000000000002780000025DC8E17FBA9C49E345.png
    :width: 3.8839in
    :height: 3.7173in


.. _RefImage_10000000000002780000025DC8E17FBA9C49E345.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: 626

Number of meshes and type: 576 QUAD4


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

.. csv-table::

    "", "**Identification**"
    "**Point** O :math:`(\mathit{M300})` ", ""
    "**Constrains**", ":math:`{\sigma }_{\mathit{xx}}`, :math:`{\sigma }_{\mathit{yy}}`,, :math:`{\sigma }_{\mathit{xy}}`,,, :math:`{\sigma }_{\mathit{xz}}`, :math:`{\sigma }_{\mathit{yz}}` on lower, middle, and upper sheets"
    "Displacement", ":math:`\mathit{DZ}`"
    "**Point** B1 :math:`(\mathit{M12})` ", ""
    "Constraints", ":math:`{\sigma }_{\mathit{xx}}`, :math:`{\sigma }_{\mathit{yy}}`, :math:`{\sigma }_{\mathit{xy}}`, :math:`{\sigma }_{\mathit{xz}}`, :math:`{\sigma }_{\mathit{yz}}` on lower, middle and upper sheets"



+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|**Identification**                                                                                                                                                                                                                            |
+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Point O           |:math:`(\mathit{M300})`|: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{M301})`|                                                                                                                                                                                                   |
+                  +                       + .. image:: images/Object_553.svg                                                                                                                                                                  +
|                  |                       |    :width: 17                                                                                                                                                                                     |
+                  +                       +    :height: 24                                                                                                                                                                                    +
|                  |                       |                                                                                                                                                                                                   |
+                  +                       +,                                                                                                                                                                                                  +
|                  |                       | .. image:: images/Object_554.svg                                                                                                                                                                  |
+                  +                       +    :width: 17                                                                                                                                                                                     +
|                  |                       |    :height: 24                                                                                                                                                                                    |
+                  +                       +                                                                                                                                                                                                   +
|                  |                       |                                                                                                                                                                                                   |
+                  +-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                  |:math:`(\mathit{M276})`|                                                                                                                                                                                                   |
+                  +                       + .. image:: images/Object_555.svg                                                                                                                                                                  +
|                  |                       |    :width: 17                                                                                                                                                                                     |
+                  +                       +    :height: 24                                                                                                                                                                                    +
|                  |                       |                                                                                                                                                                                                   |
+                  +                       +,                                                                                                                                                                                                  +
|                  |                       | .. image:: images/Object_556.svg                                                                                                                                                                  |
+                  +                       +    :width: 17                                                                                                                                                                                     +
|                  |                       |    :height: 24                                                                                                                                                                                    |
+                  +                       +                                                                                                                                                                                                   +
|                  |                       |                                                                                                                                                                                                   |
+                  +-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                  |:math:`(\mathit{M277})`|                                                                                                                                                                                                   |
+                  +                       + .. image:: images/Object_557.svg                                                                                                                                                                  +
|                  |                       |    :width: 17                                                                                                                                                                                     |
+                  +                       +    :height: 24                                                                                                                                                                                    +
|                  |                       |                                                                                                                                                                                                   |
+                  +                       +,                                                                                                                                                                                                  +
|                  |                       | .. image:: images/Object_558.svg                                                                                                                                                                  |
+                  +                       +    :width: 17                                                                                                                                                                                     +
|                  |                       |    :height: 24                                                                                                                                                                                    |
+                  +                       +                                                                                                                                                                                                   +
|                  |                       |                                                                                                                                                                                                   |
+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+


+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|**Identification**                                                                                                                                                                                                                            |
+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Point A           |:math:`(\mathit{M1})`  |: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{M24})` |: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 C           |:math:`(\mathit{M576})`|: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{M576})`|: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{M12})`|: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{M13})`|: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{M265})`|                                                                                                                                                                                                   |
+                  +                       + .. image:: images/Object_1879.svg                                                                                                                                                                 +
|                  |                       |    :width: 17                                                                                                                                                                                     |
+                  +                       +    :height: 24                                                                                                                                                                                    +
|                  |                       |                                                                                                                                                                                                   |
+                  +                       +,                                                                                                                                                                                                  +
|                  |                       | .. image:: images/Object_589.svg                                                                                                                                                                  |
+                  +                       +    :width: 17                                                                                                                                                                                     +
|                  |                       |    :height: 24                                                                                                                                                                                    |
+                  +                       +                                                                                                                                                                                                   +
|                  |                       |                                                                                                                                                                                                   |
+                  +-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                  |:math:`(\mathit{M289})`|: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}`|
+------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+