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


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

AXIS_FOURIER **(QUAD4)**


.. image:: images/Object_3.svg
    :width: 455
    :height: 280


.. _RefImage_Object_3.svg:


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


.. csv-table::

    "Number of knots:", "10"
    "Number of meshes and types:", "4 QUAD4"



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


+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|                                                |             |         |**Relative difference %**              |**Absolute variance**              |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|**Identification**                              |**Reference**|**Aster**|**difference**           |**tolerance**|**difference**       |**tolerance**|
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|Temperature :math:`(°C)`                        |             |         |                         |             |                     |             |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|CL1 (mode = 0)                                  |             |         |                         |             |                     |             |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N1, N2                                          |-17.778      |-17.778  |0.000                    |1%           |-1.14e-12            |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N3, N4                                          |-17.778      |-17.778  |0.000                    |1%           |-9.09e-13            |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N5, N6                                          |-17.778      |-17.778  |0.000                    |1%           |-6.82e-13            |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N7, N8                                          |-17.778      |-17.778  |0.000                    |1%           |-3.41e-13            |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N9, N10*                                        |-17.778      |-17.778  |0.000                    |1%           |0.000e+0             |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|:math:`\mathrm{CL1}+\mathrm{CL2}` (mode 0 and 1)|             |         |                         |             |                     |             |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|:math:`\theta =0` N1, N2                        |-17.778      |-17.778  |0.000                    |1%           |-1.14e-12            |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N3, N4                                          |-6.667       |-6.667   |0.000                    |1%           |1.820e-8             |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N5, N6                                          |4.444        |4.444    |0.000                    |1%           |3.650e-8             |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N7, N8                                          |15.556       |15.555   |0.006                    |1%           |-1,000e-3            |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N9, N10*                                        |26.667       |26.666   |0.004                    |1%           |-1,000e-3            |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|:math:`\theta =45` N1, N2                       |-17.778      |17.778   |0.000                    |1%           |-1.14e-12            |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N3, N4                                          |-9.921       |-9.921   |0.003                    |1%           |-3.370e-4            |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N5, N6                                          |-2.064       |-2.065   |0.033                    |1%           |-6.730e-4            |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N7, N8                                          |5.792        |5.792    |0.000                    |1%           |-1.040e-5            |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N9, N10                                         |13.649       |13.649   |0.003                    |1%           |-3.460e-4            |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|:math:`\theta =90` N1, N2                       |-17.778      |-17.778  |0.000                    |1%           |-1.14e-12            |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N3, N4                                          |-17.778      |-17.778  |0.000                    |1%           |-9.09e-13            |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N5, N6                                          |-17.778      |-17.778  |0.000                    |1%           |-5.68e-13            |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N7, N8                                          |-17.778      |-17.778  |0.000                    |1%           |-2.27e-13            |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N9, N10                                         |-17.778      |-17.778  |0.000                    |1%           |2.27e-13             |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|:math:`\theta =180` N1, N2                      |-17.778      |-17.778  |0.000                    |1%           |-1.14e-12            |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N3, N4                                          |-28.889      |-28.889  |0.000                    |1%           |-1.820e-8            |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N5, N6                                          |-40,000      |-40,000  |0.000                    |1%           |-3.650e-8            |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N7, N8                                          |-51.111      |-51.111  |0.000                    |1%           |1.040e-6             |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+
|N9, N10                                         |-62.222      |-62.222  |0.000                    |1%           |2.27e-13             |0.01         |
+------------------------------------------------+-------------+---------+-------------------------+-------------+---------------------+-------------+

* imposed temperatures