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


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

**3D**


.. csv-table::

    "Cutout:", "3 in height"
    "", "2 in width and thickness"
    "", "hexa20 meshes"



.. csv-table::

    "Boundary conditions:", ":math:`\mathrm{DX}=\mathrm{DY}=0` out of :math:`\left]\mathrm{AB}\right]`, :math:`\mathrm{DY}=0` in :math:`D`, :math:`\mathrm{DZ}=0` in :math:`A`"



.. csv-table::

    "Node names:", ":math:`\mathrm{Point}A=\mathrm{N59}` "," :math:`\mathrm{Point}B=\mathrm{N53}`"
    "", ":math:`\mathrm{Point}C=\mathrm{N12}` "," :math:`\mathrm{Point}D=\mathrm{N18}`"
    "", ":math:`\mathrm{Point}E=\mathrm{N56}` ", ""



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

Number of knots: 111

Number of meshes and types: 12 HEXA20


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


+---------------+---------------------------------------------------------------------------------+--------------+
|**Location**   |**Value type (m)**                                                               |**Reference** |
+---------------+---------------------------------------------------------------------------------+--------------+
|Point :math:`B`|:math:`{U}_{B}`                                                                  |              |
+---------------+---------------------------------------------------------------------------------+--------------+
|               |:math:`{V}_{B}`                                                                  |              |
+---------------+---------------------------------------------------------------------------------+--------------+
|               |:math:`{W}_{B}`                                                                  |—1.721655 10—6|
+---------------+---------------------------------------------------------------------------------+--------------+
|Point :math:`C`|:math:`{U}_{C}`                                                                  |              |
+---------------+---------------------------------------------------------------------------------+--------------+
|               |:math:`{V}_{C}`                                                                  |              |
+---------------+---------------------------------------------------------------------------------+--------------+
|               |:math:`{W}_{C}`                                                                  |—1.707308 10—6|
+---------------+---------------------------------------------------------------------------------+--------------+
|Point :math:`D`|:math:`{U}_{D}`                                                                  |—1.721655 10—7|
+---------------+---------------------------------------------------------------------------------+--------------+
|               |:math:`{V}_{D}`                                                                  |              |
+---------------+---------------------------------------------------------------------------------+--------------+
|               |:math:`{W}_{D}`                                                                  |1.434713 10—8 |
+---------------+---------------------------------------------------------------------------------+--------------+
|Point :math:`E`|:math:`{U}_{E}`                                                                  |              |
+---------------+---------------------------------------------------------------------------------+--------------+
|               |:math:`{V}_{E}`                                                                  |              |
+---------------+---------------------------------------------------------------------------------+--------------+
|               |:math:`{W}_{E}`                                                                  |—1.291241 10—6|
+---------------+---------------------------------------------------------------------------------+--------------+
|               |:math:`(\mathrm{Pa})`                                                            |              |
+---------------+---------------------------------------------------------------------------------+--------------+
|Point :math:`A`|                                                                                 |2.29554 105   |
+               + .. image:: images/Object_8.svg                                                  +              +
|               |    :width: 24                                                                   |              |
+               +    :height: 24                                                                  +              +
|               |                                                                                 |              |
+               +                                                                                 +              +
|               |                                                                                 |              |
+---------------+---------------------------------------------------------------------------------+--------------+
|Point :math:`E`|                                                                                 |1.14777 105   |
+               + .. image:: images/Object_9.svg                                                  +              +
|               |    :width: 24                                                                   |              |
+               +    :height: 24                                                                  +              +
|               |                                                                                 |              |
+               +                                                                                 +              +
|               |                                                                                 |              |
+---------------+---------------------------------------------------------------------------------+--------------+



notes
---------

The incompressible elements HEXA20 give the same results as the standard elements.