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


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

3D modeling.


.. image:: images/Shape8.gif


.. _RefSchema_Shape8.gif:

Model of DRUCK_PRAGER with parabolic negative work hardening


.. csv-table::

    "Number of nodes", ":math:`20` ", "", "", ""
    "Number of meshes", ":math:`7` ", "That is:", "", ""
    "", "", "QUAD8 "," :math:`6`"
    "", "", "HEXA20 "," :math:`1`"


Cube geometry :math:`(m)`:

Center :math:`O(0.\mathrm{,0}\mathrm{.}\mathrm{,0}\mathrm{.})`

Side :math:`C=1m`

Mesh groups:

:math:`\mathrm{BAS}`: surface of the cube belonging to the :math:`Z=-0.5` plane

:math:`\mathrm{HAUT}`: surface of the cube belonging to the :math:`Z=+0.5` plane

:math:`\mathrm{DROITE}`: surface of the cube belonging to the :math:`Y=+0.5` plane

:math:`\mathrm{GAUCHE}`: surface of the cube belonging to the :math:`Y=-0.5` plane

:math:`\mathrm{DERRIERE}`: surface of the cube belonging to the :math:`X=-0.5` plane

:math:`\mathrm{DEVANT}`: surface of the cube belonging to the :math:`X=+0.5` plane


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


+-------------------------------------------------+-----+---------------------+------------------------+-----------------------------+
|Grandeur                                         |Point|:math:`\mathrm{Inst}`|Reference               |Tolerance (:math:`\text{\%}`)|
+-------------------------------------------------+-----+---------------------+------------------------+-----------------------------+
|:math:`\mathrm{SIXX}(\mathrm{Pa})`               |A    |:math:`2.0`          |:math:`-2.0\mathrm{E6}` |0.1                          |
+-------------------------------------------------+-----+---------------------+------------------------+-----------------------------+
|:math:`\mathrm{SIZZ}(\mathrm{Pa})`               |A    |:math:`1.07`         |:math:`-8.09\mathrm{E6}`|0.1                          |
+                                                 +     +---------------------+------------------------+-----------------------------+
|                                                 |     |:math:`1.16`         |:math:`-8.01\mathrm{E6}`|0.1                          |
+                                                 +     +---------------------+------------------------+-----------------------------+
|                                                 |     |:math:`1.34`         |:math:`-6.63\mathrm{E6}`|0.1                          |
+                                                 +     +---------------------+------------------------+-----------------------------+
|                                                 |     |:math:`1.53`         |:math:`-5.81E6`         |0.1                          |
+-------------------------------------------------+-----+---------------------+------------------------+-----------------------------+
|:math:`V1`                                       |A    |:math:`1.07`         |:math:`0`               |0.1                          |
+                                                 +     +---------------------+------------------------+-----------------------------+
|                                                 |     |:math:`1.16`         |:math:`2.04E-3`         |0.1                          |
+                                                 +     +---------------------+------------------------+-----------------------------+
|                                                 |     |:math:`1.34`         |:math:`6.42E-3`         |0.1                          |
+                                                 +     +---------------------+------------------------+-----------------------------+
|                                                 |     |:math:`1.53`         |:math:`1.09E-2`         |0.1                          |
+-------------------------------------------------+-----+---------------------+------------------------+-----------------------------+
|:math:`\mathit{DZ}\phantom{\rule{0.5em}{0ex}}(m)`|A    |:math:`1.07`         |:math:`-1.05E-3`        |0.1                          |
+                                                 +     +---------------------+------------------------+-----------------------------+
|                                                 |     |:math:`1.16`         |:math:`-2.40E-3`        |0.1                          |
+                                                 +     +---------------------+------------------------+-----------------------------+
|                                                 |     |:math:`1.34`         |:math:`-5.10E-3`        |0.1                          |
+                                                 +     +---------------------+------------------------+-----------------------------+
|                                                 |     |:math:`1.53`         |:math:`-7.95E-3`        |0.1                          |
+-------------------------------------------------+-----+---------------------+------------------------+-----------------------------+