F modeling
==============


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

.. image:: images/1000000000000582000002C5AD6A844ECBEF2F69.png
    :width: 7.1634in
    :height: 4.0102in


.. _RefImage_1000000000000582000002C5AD6A844ECBEF2F69.png:


Geometry
---------

The dimensions along the x and y axes are the same as in 2D. The plate has a dimension along z of 2.

The observation points A, P, C and E have the same x and y as in 2D and are located in the z=0 plane.


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

Number of knots: 17622.

Number of meshes and types: 15360 HEXA8, 800 PYRAM5, 640 TETRA4.


Tested values
---------------

The stresses are tested at points A, P, C, and E.


+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|**Identification**                                                                                                     |**Reference**|**tolerance**|
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|A                                                                                                                      |             |0.06         |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+ .. image:: images/Object_9.svg                                                                                        +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                                       |             |0.3          |
+ .. image:: images/Object_161.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                                       |             |0.1          |
+ .. image:: images/Object_162.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|P                                                                                                                      |1.15625      |0.015        |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+ .. image:: images/Object_163.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                                       |-0.15625     |0.04         |
+ .. image:: images/Object_164.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                                       |-0.125       |0.07         |
+ .. image:: images/Object_165.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|C                                                                                                                      |1.02978      |0.01         |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+ .. image:: images/Object_166.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                                       |-0.02978     |0.045        |
+ .. image:: images/Object_167.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                                       |-0.01562     |0.09         |
+ .. image:: images/Object_168.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|E                                                                                                                      |-1.0         |0.15         |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+ .. image:: images/Object_169.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                                       |0.0          |0.3          |
+ .. image:: images/Object_170.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                                       |0.0          |0.05         |
+ .. image:: images/Object_171.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+


The errors are tested on the M6727 mesh.


+--------------------------------------------------------------------------------------------------------+-------------+-------------+
|**Identification**                                                                                      |**Reference**|**tolerance**|
+--------------------------------------------------------------------------------------------------------+-------------+-------------+
|Zhu-Zienkiewicz error estimator:                                                                        |             |             |
+--------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                        |0.0          |1.10—3       |
+ .. image:: images/Object_200.svg                                                                       +             +             +
|    :width: 26                                                                                          |             |             |
+    :height: 22                                                                                         +             +             +
|                                                                                                        |             |             |
+ to the elements                                                                                        +             +             +
|                                                                                                        |             |             |
+--------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                        |0.0          |10           |
+ .. image:: images/Object_201.svg                                                                       +             +             +
|    :width: 26                                                                                          |             |             |
+    :height: 22                                                                                         +             +             +
|                                                                                                        |             |             |
+ to the elements                                                                                        +             +             +
|                                                                                                        |             |             |
+--------------------------------------------------------------------------------------------------------+-------------+-------------+
|Mechanical error estimator:                                                                             |             |             |
+--------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                        |0.0          |0.02         |
+ .. image:: images/Object_188.svg                                                                       +             +             +
|    :width: 26                                                                                          |             |             |
+    :height: 22                                                                                         +             +             +
|                                                                                                        |             |             |
+ to the elements                                                                                        +             +             +
|                                                                                                        |             |             |
+--------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                        |0.0          |23.0         |
+ .. image:: images/Object_189.svg                                                                       +             +             +
|    :width: 26                                                                                          |             |             |
+    :height: 22                                                                                         +             +             +
|                                                                                                        |             |             |
+ to the elements                                                                                        +             +             +
|                                                                                                        |             |             |
+--------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                        |0.0          |0.02         |
+ .. image:: images/Object_190.svg                                                                       +             +             +
|    :width: 26                                                                                          |             |             |
+    :height: 22                                                                                         +             +             +
|                                                                                                        |             |             |
+ at nodes per element                                                                                   +             +             +
|                                                                                                        |             |             |
+--------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                        |0.0          |23.0         |
+ .. image:: images/Object_191.svg                                                                       +             +             +
|    :width: 26                                                                                          |             |             |
+    :height: 22                                                                                         +             +             +
|                                                                                                        |             |             |
+ at nodes per element                                                                                   +             +             +
|                                                                                                        |             |             |
+--------------------------------------------------------------------------------------------------------+-------------+-------------+