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


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


.. image:: images/10000608000015E900001304E47F14CA4B1E3DF2.svg
    :width: 211
    :height: 183


.. _RefImage_10000608000015E900001304E47F14CA4B1E3DF2.svg:

All fields being uniform (independent of space), we take a HEXA8 and the calculation is nevertheless equivalent to that of a plate in plane constraints.

Loading and boundary conditions are modelled by:


1. blocking conditions adapted both to prevent any movement of rigid bodies and to allow the uniformity of the fields,


2. nodal forces:


+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------+
|FX:                                                                                                                                                                                                                               |on nodes 1, 3, 5, 7|
+                                                                                                                                                                                                                                  +                   +
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+ .. image:: images/Object_7.svg                                                                                                                                                                                                   +                   +
|    :width: 211                                                                                                                                                                                                                   |                   |
+    :height: 183                                                                                                                                                                                                                  +                   +
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+                                                                                                                                                                                                                                  +                   +
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+, FY:                                                                                                                                                                                                                             +                   +
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+                                                                                                                                                                                                                                  +                   +
| .. image:: images/Object_8.svg                                                                                                                                                                                                   |                   |
+    :width: 211                                                                                                                                                                                                                   +                   +
|    :height: 183                                                                                                                                                                                                                  |                   |
+                                                                                                                                                                                                                                  +                   +
|                                                                                                                                                                                                                                  |                   |
+                                                                                                                                                                                                                                  +                   +
|                                                                                                                                                                                                                                  |                   |
+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------+
|FX:                                                                                                                                                                                                                               |on nodes 3, 4, 7, 8|
+                                                                                                                                                                                                                                  +                   +
|                                                                                                                                                                                                                                  |                   |
+ .. image:: images/Object_9.svg                                                                                                                                                                                                   +                   +
|    :width: 211                                                                                                                                                                                                                   |                   |
+    :height: 183                                                                                                                                                                                                                  +                   +
|                                                                                                                                                                                                                                  |                   |
+                                                                                                                                                                                                                                  +                   +
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+                                                                                                                                                                                                                                  +                   +
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+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------+
|FY:                                                                                                                                                                                                                               |on nodes 2, 4, 6, 8|
+                                                                                                                                                                                                                                  +                   +
|                                                                                                                                                                                                                                  |                   |
+ .. image:: images/Object_10.svg                                                                                                                                                                                                  +                   +
|    :width: 211                                                                                                                                                                                                                   |                   |
+    :height: 183                                                                                                                                                                                                                  +                   +
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+                                                                                                                                                                                                                                  +                   +
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+                                                                                                                                                                                                                                  +                   +
|                                                                                                                                                                                                                                  |                   |
+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------+
|FX:                                                                                                                                                                                                                               |on nodes 1, 2, 5, 6|
+                                                                                                                                                                                                                                  +                   +
|                                                                                                                                                                                                                                  |                   |
+ .. image:: images/Object_11.svg                                                                                                                                                                                                  +                   +
|    :width: 211                                                                                                                                                                                                                   |                   |
+    :height: 183                                                                                                                                                                                                                  +                   +
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+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------+



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


.. csv-table::

    "Number of knots:", "8"
    "Number of meshes and types:", "1 HEXA8"



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


.. csv-table::

    "**Variables**", "**Moment (s)**", "**Reference**", "**Aster**", "**% difference**"
    ":math:`{\varepsilon }_{p-\mathrm{xx}}` ", "3630", "9.06364 10—2", "9.06373 10—2", "0.001"
    ":math:`{\varepsilon }_{p-\mathrm{xy}}` ", "3630", "7.84935 10—2", "7.84942 10—2", "0.001"
    ":math:`{\varepsilon }_{p-\mathrm{xx}}` ", "3660", "1.71775 10—1", "1.71775 10—1", "1.717749 10—1", "7.69 10—5"
    ":math:`{\varepsilon }_{p-\mathrm{xy}}` ", "3660", "1.48761 10—1", "1.48761 10—1", "2.68 10—4"
    ":math:`{\varepsilon }_{p-\mathrm{xx}}` ", "3720", "2.80733 10—1", "2.80909 10—1", "0.063"
    ":math:`{\varepsilon }_{p-\mathrm{xy}}` ", "3720", "2.43122 10—1", "2.43274 10—1", "0.063"