Modeling A
==============


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

We use a DKT model with 3 layers in the thickness.


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

The mesh contains 5000 elements of type TRIA3.


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

We test the displacement along the :math:`Z` axis and the moment :math:`\mathit{MXX}` along :math:`\mathit{AB}`.


+-------------------+----------------------+------------------+-------------------+-------------------+
|**Identification**                        |**Reference type**|**Reference value**|**Tolerance** **%**|
+-------------------+----------------------+                  +                   +                   +
|DEPL               |:math:`X(\mathit{cm})`|                  |                   |                   |
+-------------------+----------------------+------------------+-------------------+-------------------+
|:math:`\mathit{DZ}`|:math:`0.0`           |'SOURCE_EXTERNE'  |:math:`0.1033`     |:math:`4.0\text{}` |
+                   +----------------------+------------------+-------------------+-------------------+
|                   |:math:`2.0`           |'SOURCE_EXTERNE'  |:math:`0.0992`     |:math:`3.5\text{}` |
+                   +----------------------+------------------+-------------------+-------------------+
|                   |:math:`4.0`           |'SOURCE_EXTERNE'  |:math:`0.0883`     |:math:`3.\text{}`  |
+                   +----------------------+------------------+-------------------+-------------------+
|                   |:math:`6.0`           |'SOURCE_EXTERNE'  |:math:`0.0692`     |:math:`3.\text{}`  |
+                   +----------------------+------------------+-------------------+-------------------+
|                   |:math:`8.0`           |'SOURCE_EXTERNE'  |:math:`0.0400`     |:math:`2.\text{}`  |
+-------------------+----------------------+------------------+-------------------+-------------------+


+--------------------+----------------------+------------------+----------------------+-------------------+
|**Identification**                         |**Reference type**|**Reference value**   |**Tolerance** **%**|
+--------------------+----------------------+                  +                      +                   +
|EFGE_NOEU           |:math:`X(\mathit{cm})`|                  |                      |                   |
+--------------------+----------------------+------------------+----------------------+-------------------+
|:math:`\mathit{MXX}`|:math:`1.0`           |'SOURCE_EXTERNE'  |:math:`\mathrm{-}50.0`|:math:`0.5\text{}` |
+                    +----------------------+------------------+----------------------+-------------------+
|                    |:math:`3.0`           |'SOURCE_EXTERNE'  |:math:`\mathrm{-}45.6`|:math:`0.2\text{}` |
+                    +----------------------+------------------+----------------------+-------------------+
|                    |:math:`5.0`           |'SOURCE_EXTERNE'  |:math:`\mathrm{-}36.4`|:math:`1.0\text{}` |
+                    +----------------------+------------------+----------------------+-------------------+
|                    |:math:`7.0`           |'SOURCE_EXTERNE'  |:math:`\mathrm{-}23.2`|:math:`3.0\text{}` |
+                    +----------------------+------------------+----------------------+-------------------+
|                    |:math:`9.0`           |'SOURCE_EXTERNE'  |:math:`\mathrm{-}8.0` |:math:`0.5\text{}` |
+--------------------+----------------------+------------------+----------------------+-------------------+

Stress is tested on the lower, middle and upper skin in 2 layers.


* Layer 1: :math:`\mathrm{-}\mathrm{0.125cm}<Z<\mathrm{-}\mathrm{0.0417cm}`


+-------------------------+--------------------+---------------------+------------------+-----------------------+-----------------------------------+
|**Dot/Mesh**             |**Diaper**          |**Size**             |**Reference type**|**Reference value**    |**Tolerance**                      |
+-------------------------+--------------------+---------------------+------------------+-----------------------+-----------------------------------+
|:math:`A(\mathit{M5200})`|:math:`\mathit{INF}`|:math:`\mathit{SIXX}`|'NON_DEFINI'      |:math:`4880.375`       |:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+-----------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIYY}`|'NON_DEFINI'      |:math:`4880.125`       |:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+-----------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIXY}`|'NON_DEFINI'      |:math:`\mathrm{-}0.125`|:math:`{10}^{\mathrm{-}6}`         |
+                         +--------------------+---------------------+------------------+-----------------------+-----------------------------------+
|                         |:math:`\mathit{MOY}`|:math:`\mathit{SIXX}`|'NON_DEFINI'      |:math:`3225.583`       |:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+-----------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIYY}`|'NON_DEFINI'      |:math:`3253.417`       |:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+-----------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIXY}`|'NON_DEFINI'      |:math:`\mathrm{-}0.083`|:math:`{10}^{\mathrm{-}6}`         |
+                         +--------------------+---------------------+------------------+-----------------------+-----------------------------------+
|                         |:math:`\text{SUP}`  |:math:`\mathit{SIXX}`|'NON_DEFINI'      |:math:`1626.712`       |:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+-----------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIYY}`|'NON_DEFINI'      |:math:`1626.708`       |:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+-----------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIXY}`|'NON_DEFINI'      |:math:`\mathrm{-}0.042`|:math:`{10}^{\mathrm{-}6}`         |
+-------------------------+--------------------+---------------------+------------------+-----------------------+-----------------------------------+


* Layer #3: :math:`\mathrm{0.0417cm}<Z<\mathrm{0.125cm}`


+-------------------------+--------------------+---------------------+------------------+--------------------------+-----------------------------------+
|**Dot/Mesh**             |**Diaper**          |**Size**             |**Reference type**|**Reference value**       |**Tolerance**                      |
+-------------------------+--------------------+---------------------+------------------+--------------------------+-----------------------------------+
|:math:`A(\mathit{M5200})`|:math:`\mathit{INF}`|:math:`\mathit{SIXX}`|'NON_DEFINI'      |:math:`\mathrm{-}1626.792`|:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+--------------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIYY}`|'NON_DEFINI'      |:math:`\mathrm{-}1626.708`|:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+--------------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIXY}`|'NON_DEFINI'      |:math:`0.042`             |:math:`{10}^{\mathrm{-}6}`         |
+                         +--------------------+---------------------+------------------+--------------------------+-----------------------------------+
|                         |:math:`\mathit{MOY}`|:math:`\mathit{SIXX}`|'NON_DEFINI'      |:math:`\mathrm{-}3252.583`|:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+--------------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIYY}`|'NON_DEFINI'      |:math:`\mathrm{-}3252.416`|:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+--------------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIXY}`|'NON_DEFINI'      |:math:`0.083`             |:math:`{10}^{\mathrm{-}6}`         |
+                         +--------------------+---------------------+------------------+--------------------------+-----------------------------------+
|                         |:math:`\text{SUP}`  |:math:`\mathit{SIXX}`|'NON_DEFINI'      |:math:`\mathrm{-}4880.375`|:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+--------------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIYY}`|'NON_DEFINI'      |:math:`\mathrm{-}4880.125`|:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+--------------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIXY}`|'NON_DEFINI'      |:math:`0.125`             |:math:`{10}^{\mathrm{-}6}`         |
+-------------------------+--------------------+---------------------+------------------+--------------------------+-----------------------------------+