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


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

Number of stitches: 1 HEXA8

Number of knots: 8


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


+--------------------------------------+----------------------------+----------------+-------------------+----------------+
|**Identification**                                                 |**Reference**   |**Aster**          |**% difference**|
+--------------------------------------+----------------------------+----------------+-------------------+----------------+
|Plastic vibratory natural frequency   |:math:`\mathrm{Tps}` = 1.01 |3.58128E-02     |3.5812661359567D-02|-3.87E-04       |
+--------------------------------------+----------------------------+----------------+-------------------+----------------+
|                                      |:math:`\mathrm{Tps}` = 1.06 |3.58128E-02     |3.5812661359997D-02|-3.87E-04       |
+--------------------------------------+----------------------------+----------------+-------------------+----------------+
|                                      |:math:`\mathrm{Tps}` = 1.25 |3.58128E-02     |3.5812661358541D-02|-3.87E-04       |
+--------------------------------------+----------------------------+----------------+-------------------+----------------+
|                                      |:math:`\mathrm{Tps}` = 1.49 |3.58128E-02     |3.5812661355801D-02|-3.87E-04       |
+--------------------------------------+----------------------------+----------------+-------------------+----------------+
|Elastic vibratory natural frequency   |:math:`\mathrm{Tps}` = 1.51 |3.58128E-01     |3.5812779545194D-01|-5.71E-05       |
+--------------------------------------+----------------------------+----------------+-------------------+----------------+
|                                      |:math:`\mathrm{Tps}` = 1.52 |3.58128E-01     |3.5812779545194D-01|-5.71E-05       |
+--------------------------------------+----------------------------+----------------+-------------------+----------------+
|                                      |:math:`\mathrm{Tps}` = 1.56 |3.58128E-01     |3.5812779545194D-01|-5.71E-05       |
+--------------------------------------+----------------------------+----------------+-------------------+----------------+
|                                      |:math:`\mathrm{Tps}` = 1.75 |3.58128E-01     |3.5812779545194D-01|-5.71E-05       |
+--------------------------------------+----------------------------+----------------+-------------------+----------------+
|                                      |:math:`\mathrm{Tps}` = 1.99 |3.58128E-01     |3.5812779545194D-01|-5.71E-05       |
+--------------------------------------+----------------------------+----------------+-------------------+----------------+
|Coefficient of the first critical load|:math:`\mathrm{Tps}` = 1.001|-2.854285714E+01|-2.85701899729E+01 |0.096           |
+--------------------------------------+----------------------------+----------------+-------------------+----------------+

These tests are completed by two tests on the DEPL_VIBR vibratory mode calculated with MODE_VIBR. More precisely, we will test the value of this field in two nodes:


* GROUP_NO ='A' (node in (0,0,0): which is embedded, we must therefore find an identically zero displacement,


* GROUP_NO ='H' (node in (0,1,1)): we do a non-regression test in the :math:`\mathrm{DY}` direction.


+----------------------------------------+--------------------------+-----------------+-----------------+----------------+
|**Identification**                                                 |**Reference**    |**Aster**        |**% difference**|
+----------------------------------------+--------------------------+-----------------+-----------------+----------------+
|DEPL_VIBR in 'A'Next :math:`\mathrm{DX}`|:math:`\mathrm{Tps}` = 1.2|                 |                 |                |
+----------------------------------------+--------------------------+-----------------+-----------------+----------------+
|DEPL_VIBR in 'H'next :math:`\mathrm{DY}`|:math:`\mathrm{Tps}` = 1.2|-0.49999288483407|-0.49999288483077|6.61E-10        |
+----------------------------------------+--------------------------+-----------------+-----------------+----------------+

This test makes it possible to validate the calculations of critical buckling loads, frequencies and vibratory natural modes in DYNA_NON_LINE.