B modeling
==============


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

We use a DKT model.


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

The mesh contains 2500 elements of type QUAD4.


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

We test the displacement along the :math:`Z` axis and the moment :math:`\mathit{MXX}` at the center of the plate (point :math:`A`).


+-------------------+----------------------+------------------+-------------------+-------------+
|**Identification**                        |**Reference type**|**Reference value**|**Tolerance**|
+-------------------+----------------------+                  +                   +             +
|DEPL               |:math:`X(\mathit{cm})`|                  |                   |             |
+-------------------+----------------------+------------------+-------------------+-------------+
|:math:`\mathit{DZ}`|:math:`0.0`           |'SOURCE_EXTERNE'  |:math:`0.14712`    |:math:`0.1`  |
+-------------------+----------------------+------------------+-------------------+-------------+


+--------------------+----------------------+------------------+-------------------+-------------+
|**Identification**                         |**Reference type**|**Reference value**|**Tolerance**|
+--------------------+----------------------+                  +                   +             +
|EFGE_ELNO           |:math:`X(\mathit{cm})`|                  |                   |             |
+--------------------+----------------------+------------------+-------------------+-------------+
|:math:`\mathit{MXX}`|:math:`1.0`           |'SOURCE_EXTERNE'  |:math:`103.80`     |:math:`3.5`  |
+--------------------+----------------------+------------------+-------------------+-------------+

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


* Layer 1: :math:`\mathrm{-}\mathrm{0.125cm}<Z<\mathrm{-}\mathrm{0.089cm}`


+-------------------------+--------------------+---------------------+------------------+-----------------------+-----------------------------------+
|**Dot/Mesh**             |**Diaper**          |**Size**             |**Reference type**|**Reference value**    |**Tolerance**                      |
+-------------------------+--------------------+---------------------+------------------+-----------------------+-----------------------------------+
|:math:`A(\mathit{M2700})`|:math:`\mathit{INF}`|:math:`\mathit{SIXX}`|'NON_DEFINI'      |:math:`9653.560`       |:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+-----------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIYY}`|'NON_DEFINI'      |:math:`9653.560`       |:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+-----------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIXY}`|'NON_DEFINI'      |:math:`\mathrm{-}0.064`|:math:`{10}^{\mathrm{-}6}`         |
+                         +--------------------+---------------------+------------------+-----------------------+-----------------------------------+
|                         |:math:`\mathit{MOY}`|:math:`\mathit{SIXX}`|'NON_DEFINI'      |:math:`8274.480`       |:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+-----------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIYY}`|'NON_DEFINI'      |:math:`8274.480`       |:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+-----------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIXY}`|'NON_DEFINI'      |:math:`\mathrm{-}0.055`|:math:`{10}^{\mathrm{-}6}`         |
+                         +--------------------+---------------------+------------------+-----------------------+-----------------------------------+
|                         |:math:`\text{SUP}`  |:math:`\mathit{SIXX}`|'NON_DEFINI'      |:math:`6895.400`       |:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+-----------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIYY}`|'NON_DEFINI'      |:math:`6895.400`       |:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+-----------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIXY}`|'NON_DEFINI'      |:math:`\mathrm{-}0.046`|:math:`{10}^{\mathrm{-}6}`         |
+-------------------------+--------------------+---------------------+------------------+-----------------------+-----------------------------------+


* Layer #7: :math:`\mathrm{0.089cm}<Z<\mathrm{0.125cm}`


+-------------------------+--------------------+---------------------+------------------+--------------------------+-----------------------------------+
|**Dot/Mesh**             |**Diaper**          |**Size**             |**Reference type**|**Reference value**       |**Tolerance**                      |
+-------------------------+--------------------+---------------------+------------------+--------------------------+-----------------------------------+
|:math:`A(\mathit{M2700})`|:math:`\mathit{INF}`|:math:`\mathit{SIXX}`|'NON_DEFINI'      |:math:`\mathrm{-}6895.400`|:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+--------------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIYY}`|'NON_DEFINI'      |:math:`\mathrm{-}6895.400`|:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+--------------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIXY}`|'NON_DEFINI'      |:math:`\mathrm{-}0.046`   |:math:`{10}^{\mathrm{-}6}`         |
+                         +--------------------+---------------------+------------------+--------------------------+-----------------------------------+
|                         |:math:`\mathit{MOY}`|:math:`\mathit{SIXX}`|'NON_DEFINI'      |:math:`\mathrm{-}8274.480`|:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+--------------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIYY}`|'NON_DEFINI'      |:math:`\mathrm{-}8274.480`|:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+--------------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIXY}`|'NON_DEFINI'      |:math:`\mathrm{-}0.055`   |:math:`{10}^{\mathrm{-}6}`         |
+                         +--------------------+---------------------+------------------+--------------------------+-----------------------------------+
|                         |:math:`\text{SUP}`  |:math:`\mathit{SIXX}`|'NON_DEFINI'      |:math:`\mathrm{-}9653.560`|:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+--------------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIYY}`|'NON_DEFINI'      |:math:`\mathrm{-}9653.560`|:math:`{10}^{\mathrm{-}4}\text{\%}`|
+                         +                    +---------------------+------------------+--------------------------+-----------------------------------+
|                         |                    |:math:`\mathit{SIXY}`|'NON_DEFINI'      |:math:`\mathrm{-}0.064`   |:math:`{10}^{\mathrm{-}6}`         |
+-------------------------+--------------------+---------------------+------------------+--------------------------+-----------------------------------+