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


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

We use a DKT model with 5 layers in the thickness


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

The mesh contains 1024 elements of type QUAD4.


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

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


* Layer #2: :math:`\mathrm{-}\mathrm{0.03m}<Z<\mathrm{-}\mathrm{0.01m}`


+--------------------+-------------------------------------------------------------------------------------------------------------+---------------------+------------------+---------------------+--------------------------+
|**Identification**                                                                                                                                      |**Reference type**|**Reference value**  |**Tolerance**             |
+--------------------+-------------------------------------------------------------------------------------------------------------+---------------------+------------------+---------------------+--------------------------+
|:math:`\mathit{INF}`|:math:`X\mathrm{=}\mathrm{0.0m}` :math:`Y\mathrm{=}\mathrm{0.0m}` :math:`Z\mathrm{=}\mathrm{-}\mathrm{0.03m}`|:math:`\mathit{SIXX}`|'ANALYTIQUE'      |:math:`10.`          |:math:`1.5\text{\%}`      |
+                    +                                                                                                             +---------------------+------------------+---------------------+--------------------------+
|                    |                                                                                                             |:math:`\mathit{SIYY}`|'ANALYTIQUE'      |:math:`0.`           |:math:`0.5`               |
+                    +                                                                                                             +---------------------+------------------+---------------------+--------------------------+
|                    |                                                                                                             |:math:`\mathit{SIXY}`|'ANALYTIQUE'      |:math:`0.`           |:math:`{10}^{\mathrm{-}6}`|
+--------------------+-------------------------------------------------------------------------------------------------------------+---------------------+------------------+---------------------+--------------------------+
|:math:`\mathit{MOY}`|:math:`X\mathrm{=}\mathrm{0.0m}` :math:`Y\mathrm{=}\mathrm{1.0m}` :math:`Z\mathrm{=}\mathrm{-}\mathrm{0.04m}`|:math:`\mathit{SIXX}`|'ANALYTIQUE'      |:math:`0.`           |:math:`{10}^{\mathrm{-}6}`|
+                    +                                                                                                             +---------------------+------------------+---------------------+--------------------------+
|                    |                                                                                                             |:math:`\mathit{SIYY}`|'ANALYTIQUE'      |:math:`0.`           |:math:`{10}^{\mathrm{-}6}`|
+                    +                                                                                                             +---------------------+------------------+---------------------+--------------------------+
|                    |                                                                                                             |:math:`\mathit{SIXY}`|'ANALYTIQUE'      |:math:`0.`           |:math:`{10}^{\mathrm{-}6}`|
+--------------------+-------------------------------------------------------------------------------------------------------------+---------------------+------------------+---------------------+--------------------------+
|:math:`\text{SUP}`  |:math:`X\mathrm{=}\mathrm{0.0m}` :math:`Y\mathrm{=}\mathrm{2.0m}` :math:`Z\mathrm{=}\mathrm{-}\mathrm{0.01m}`|:math:`\mathit{SIXX}`|'ANALYTIQUE'      |:math:`\mathrm{-}10.`|:math:`1.5\text{\%}`      |
+                    +                                                                                                             +---------------------+------------------+---------------------+--------------------------+
|                    |                                                                                                             |:math:`\mathit{SIYY}`|'ANALYTIQUE'      |:math:`0.`           |:math:`0.5`               |
+                    +                                                                                                             +---------------------+------------------+---------------------+--------------------------+
|                    |                                                                                                             |:math:`\mathit{SIXY}`|'ANALYTIQUE'      |:math:`0.`           |:math:`{10}^{\mathrm{-}6}`|
+--------------------+-------------------------------------------------------------------------------------------------------------+---------------------+------------------+---------------------+--------------------------+


* Layer #5: :math:`\mathrm{0.03m}<Z<\mathrm{0.05m}`


+--------------------+---------------------------------------------------------------------------------------------------+---------------------+------------------+---------------------+--------------------------+
|**Identification**                                                                                                                            |**Reference type**|**Reference value**  |**Tolerance**             |
+--------------------+---------------------------------------------------------------------------------------------------+---------------------+------------------+---------------------+--------------------------+
|:math:`\mathit{INF}`|:math:`X\mathrm{=}\mathrm{4.0m}` :math:`Y\mathrm{=}\mathrm{0.0m}` :math:`Z\mathrm{=}\mathrm{0.03m}`|:math:`\mathit{SIXX}`|'ANALYTIQUE'      |:math:`10.`          |:math:`1.5\text{\%}`      |
+                    +                                                                                                   +---------------------+------------------+---------------------+--------------------------+
|                    |                                                                                                   |:math:`\mathit{SIYY}`|'ANALYTIQUE'      |:math:`0.`           |:math:`0.5`               |
+                    +                                                                                                   +---------------------+------------------+---------------------+--------------------------+
|                    |                                                                                                   |:math:`\mathit{SIXY}`|'ANALYTIQUE'      |:math:`0.`           |:math:`{10}^{\mathrm{-}6}`|
+--------------------+---------------------------------------------------------------------------------------------------+---------------------+------------------+---------------------+--------------------------+
|:math:`\mathit{MOY}`|:math:`X\mathrm{=}\mathrm{4.0m}` :math:`Y\mathrm{=}\mathrm{1.0m}` :math:`Z\mathrm{=}\mathrm{0.04m}`|:math:`\mathit{SIXX}`|'ANALYTIQUE'      |:math:`0.`           |:math:`{10}^{\mathrm{-}6}`|
+                    +                                                                                                   +---------------------+------------------+---------------------+--------------------------+
|                    |                                                                                                   |:math:`\mathit{SIYY}`|'ANALYTIQUE'      |:math:`0.`           |:math:`{10}^{\mathrm{-}6}`|
+                    +                                                                                                   +---------------------+------------------+---------------------+--------------------------+
|                    |                                                                                                   |:math:`\mathit{SIXY}`|'ANALYTIQUE'      |:math:`0.`           |:math:`{10}^{\mathrm{-}6}`|
+--------------------+---------------------------------------------------------------------------------------------------+---------------------+------------------+---------------------+--------------------------+
|:math:`\text{SUP}`  |:math:`X\mathrm{=}\mathrm{4.0m}` :math:`Y\mathrm{=}\mathrm{2.0m}` :math:`Z\mathrm{=}\mathrm{0.05m}`|:math:`\mathit{SIXX}`|'ANALYTIQUE'      |:math:`\mathrm{-}10.`|:math:`1.5\text{\%}`      |
+                    +                                                                                                   +---------------------+------------------+---------------------+--------------------------+
|                    |                                                                                                   |:math:`\mathit{SIYY}`|'ANALYTIQUE'      |:math:`0.`           |:math:`0.5`               |
+                    +                                                                                                   +---------------------+------------------+---------------------+--------------------------+
|                    |                                                                                                   |:math:`\mathit{SIXY}`|'ANALYTIQUE'      |:math:`0.`           |:math:`{10}^{\mathrm{-}6}`|
+--------------------+---------------------------------------------------------------------------------------------------+---------------------+------------------+---------------------+--------------------------+