G modeling
==============


.. image:: images/1000000000000582000002C576C0645837B02CFA.png
    :width: 7.078in
    :height: 3.6701in


.. _RefImage_1000000000000582000002C576C0645837B02CFA.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: 3927.

Number of meshes and types: 6400 PENTA6.


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

The values tested are located in the z=0 plane.


+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|**Identification**                                                                                                     |**Reference**|**tolerance**|
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|A                                                                                                                      |             |0.06         |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+ .. image:: images/Object_174.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                                       |             |0.33         |
+ .. image:: images/Object_175.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                                       |             |0.1          |
+ .. image:: images/Object_176.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|P                                                                                                                      |1.15625      |0.01         |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+ .. image:: images/Object_177.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                                       |0.15625      |0.054        |
+ .. image:: images/Object_178.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                                       |-0.125       |0.07         |
+ .. image:: images/Object_179.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|C                                                                                                                      |-0.02978     |0.021        |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+ .. image:: images/Object_180.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                                       |1.02978      |0.01         |
+ .. image:: images/Object_181.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                                       |-0.01562     |0.095        |
+ .. image:: images/Object_182.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|E                                                                                                                      |-1.          |0.15         |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+ .. image:: images/Object_183.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+                                                                                                                       +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                                       |0.0          |0.3          |
+ .. image:: images/Object_184.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                                       |0.0          |0.05         |
+ .. image:: images/Object_185.svg                                                                                      +             +             +
|    :width: 26                                                                                                         |             |             |
+    :height: 22                                                                                                        +             +             +
|                                                                                                                       |             |             |
+ ZZ1                                                                                                                   +             +             +
|                                                                                                                       |             |             |
+-----------------------------------------------------------------------------------------------------------------------+-------------+-------------+


The errors are tested on the M2145 mesh.


+--------------------------------------------------------------------------------------------------------+-------------+-------------+
|**Identification**                                                                                      |**Reference**|**tolerance**|
+--------------------------------------------------------------------------------------------------------+-------------+-------------+
|Zhu-Zienkiewicz error estimator:                                                                        |             |             |
+--------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                        |0.0          |1.10—3       |
+ .. image:: images/Object_172.svg                                                                       +             +             +
|    :width: 26                                                                                          |             |             |
+    :height: 22                                                                                         +             +             +
|                                                                                                        |             |             |
+ to the elements                                                                                        +             +             +
|                                                                                                        |             |             |
+--------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                        |0.0          |17.6         |
+ .. image:: images/Object_173.svg                                                                       +             +             +
|    :width: 26                                                                                          |             |             |
+    :height: 22                                                                                         +             +             +
|                                                                                                        |             |             |
+ to the elements                                                                                        +             +             +
|                                                                                                        |             |             |
+--------------------------------------------------------------------------------------------------------+-------------+-------------+
|Mechanical error estimator:                                                                             |             |             |
+--------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                        |0.0          |6.10—3       |
+ .. image:: images/Object_192.svg                                                                       +             +             +
|    :width: 26                                                                                          |             |             |
+    :height: 22                                                                                         +             +             +
|                                                                                                        |             |             |
+ to the elements                                                                                        +             +             +
|                                                                                                        |             |             |
+--------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                        |0.0          |13.5         |
+ .. image:: images/Object_193.svg                                                                       +             +             +
|    :width: 26                                                                                          |             |             |
+    :height: 22                                                                                         +             +             +
|                                                                                                        |             |             |
+ to the elements                                                                                        +             +             +
|                                                                                                        |             |             |
+--------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                        |0.0          |6.10—3       |
+ .. image:: images/Object_194.svg                                                                       +             +             +
|    :width: 26                                                                                          |             |             |
+    :height: 22                                                                                         +             +             +
|                                                                                                        |             |             |
+ at nodes per element                                                                                   +             +             +
|                                                                                                        |             |             |
+--------------------------------------------------------------------------------------------------------+-------------+-------------+
|                                                                                                        |0.0          |13.5         |
+ .. image:: images/Object_195.svg                                                                       +             +             +
|    :width: 26                                                                                          |             |             |
+    :height: 22                                                                                         +             +             +
|                                                                                                        |             |             |
+ at nodes per element                                                                                   +             +             +
|                                                                                                        |             |             |
+--------------------------------------------------------------------------------------------------------+-------------+-------------+