D modeling
==============


.. image:: images/10000000000001E0000001E04FCDAA3B7314596F.png
    :width: 2.1953in
    :height: 2.2654in


.. _RefImage_10000000000001E0000001E04FCDAA3B7314596F.png:


.. image:: images/Shape11.gif


.. _RefSchema_Shape11.gif:


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

Q4GG modeling (QUAD4)

- Boundary conditions:

. Side :math:`\mathrm{A2A4}`: :math:`\mathrm{DZ}=0`

- Symmetry conditions

. Side :math:`\mathrm{A1A2}`: :math:`\mathrm{DY}=\mathrm{DRX}=0`

. Side :math:`\mathrm{A1A3}`: :math:`\mathrm{DX}=\mathrm{DRY}=0`

The slab is symmetric with respect to planes :math:`(X=0)` and :math:`(Y=0)`, the calculations are carried out on a quarter of the slab.


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

Number of knots: 169

Number of meshes and type: 144 QUAD4


Tested features
-----------------------

The macro command POST_COQUE makes it possible to extract the forces and the deformations at any point in the shell.


Tested values
---------------


.. csv-table::

    "**Identification**", "**Reference Type**", "**Reference**", "**Tolerance (%)**"
    ":math:`\mathrm{DZ}(\mathrm{A1})` ", "'ANALYTIQUE'", "2.658 10-4"," 1%"
    ":math:`\mathrm{MXX}(\mathrm{A1})` ", "'ANALYTIQUE'", "4050. "," 0.5%"
    ":math:`\mathrm{KXX}(\mathrm{A1})` ", "'ANALYTIQUE'", "7.878 10-4"," 0.5%"



+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|**Identification**                                                |**Reference type**|**Reference**|**Tolerance (%)**|
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|:math:`\mathit{MXX}`|:math:`\mathit{M133}`|:math:`\mathit{Point}4`|'NON_REGRESSION'  |4035.93      |1.e-6            |
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|:math:`\mathit{KXX}`|:math:`\mathit{M133}`|:math:`\mathit{Point}4`|'NON_REGRESSION'  |7.8507 10-4  |1.e-6            |
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+


* The quantities are expressed in the coordinate system defined by the nautical angles :math:`\alpha \mathrm{=}33°` and :math:`\beta \mathrm{=}12°`.


.. csv-table::

    "**Identification**", "**Reference Type**", "**Reference**", "**Tolerance (%)**"
    ":math:`\mathrm{DZ}(\mathrm{A1})` ", "'ANALYTIQUE'", "2.658 10-4"," 1%"
    ":math:`\mathit{MXX}(\mathit{A1})` ", "'NON_REGRESSION'", "2838.75", "1.e-6"
    ":math:`\mathit{MYY}(\mathit{A1})` ", "'NON_REGRESSION'", "1197.18", "1.e-6"
    ":math:`\mathit{MXY}(\mathit{A1})` ", "'NON_REGRESSION'", "-1843.50", "1.e-6"
    ":math:`\mathit{KXX}(\mathit{A1})` ", "'NON_REGRESSION'", "5.5220 10-4", "1.e-6"
    ":math:`\mathit{KYY}(\mathit{A1})` ", "'NON_REGRESSION'", "2.3287 10-4", "1.e-6"
    ":math:`\mathit{KXY}(\mathit{A1})` ", "'NON_REGRESSION'", "-3.5860 10-4", "1.e-6"



+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|**Identification**                                                |**Reference type**|**Reference**|**Tolerance (%)**|
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|:math:`\mathit{MXX}`|:math:`\mathit{M133}`|:math:`\mathit{Point}4`|'NON_REGRESSION'  |2838.75      |1.e-6            |
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|:math:`\mathit{MYY}`|:math:`\mathit{M133}`|:math:`\mathit{Point}4`|'NON_REGRESSION'  |1197.18      |1.e-6            |
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|:math:`\mathit{MXY}`|:math:`\mathit{M133}`|:math:`\mathit{Point}4`|'NON_REGRESSION'  |-1843.50     |1.e-6            |
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|:math:`\mathit{KXX}`|:math:`\mathit{M133}`|:math:`\mathit{Point}4`|'NON_REGRESSION'  |5.5220 10-4  |1.e-6            |
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|:math:`\mathit{KYY}`|:math:`\mathit{M133}`|:math:`\mathit{Point}4`|'NON_REGRESSION'  |2.3287 10-4  |1.e-6            |
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|:math:`\mathit{KXY}`|:math:`\mathit{M133}`|:math:`\mathit{Point}4`|'NON_REGRESSION'  |-3.5860 10-4 |1.e-6            |
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+


notes
---------