E modeling
==============


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

3D modeling is used in non-linear mechanics.

This modeling tests the creation of empirical modes in mechanics. We take for the base
primal and the dual base TOLE_SVD = 1.E-3.


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

The mesh contains 27 elements of type HEXA8.


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

We test some values of the primal base (as they are empirical modes, the tests are
done to the nearest sign):


.. csv-table::

    "**Identification**", "**Reference type**"
    "Point :math:`A` - DEPL /DX- Mode 1"," NON_REGRESSION
    "Point :math:`A` - DEPL /DY- Mode 1"," NON_REGRESSION
    "Point :math:`A` - DEPL /DZ- Mode 1"," NON_REGRESSION
    "Point :math:`A` - DEPL /DX- Mode 2"," NON_REGRESSION"
    "Point :math:`A` - DEPL /DY- Mode 2"," NON_REGRESSION
    "Point :math:`A` - DEPL /DZ- Mode 2"," NON_REGRESSION"


We test some values of the primal base obtained by method POD_INCR with TOLE = 1.E-10.
The same modes as before are obtained:


.. csv-table::

    "**Identification**", "**Reference type**"
    "Point :math:`A` - DEPL /DX- Mode 1"," NON_REGRESSION"
    "Point :math:`A` - DEPL /DY- Mode 1"," NON_REGRESSION"
    "Point :math:`A` - DEPL /DZ- Mode 1"," NON_REGRESSION"
    "Point :math:`A` - DEPL /DX- Mode 2"," NON_REGRESSION"
    "Point :math:`A` - DEPL /DY- Mode 2"," NON_REGRESSION
    "Point :math:`A` - DEPL /DZ- Mode 2"," NON_REGRESSION"


We test some values of the dual base (as they are empirical modes, the tests are
done to the nearest sign):


.. csv-table::

    "**Identification**", "**Reference type**"
    "Point :math:`A` - SIEF_NOEU/SIXX - Mode 1"," NON_REGRESSION"
    "Point :math:`A` - SIEF_NOEU/SIYY -Mode 1"," NON_REGRESSION"
    "Point :math:`A` - SIEF_NOEU/SIZZ -Mode 1"," NON_REGRESSION"
    "Point :math:`A` - SIEF_NOEU/SIXY -Mode 1"," NON_REGRESSION"
    "Point :math:`A` - SIEF_NOEU/SIXZ -Mode 1"," NON_REGRESSION"
    "Point :math:`A` - SIEF_NOEU/SIYZ -Mode 1"," NON_REGRESSION"
    "Point :math:`A` - SIEF_NOEU/SIXX - Mode 3"," NON_REGRESSION"
    "Point :math:`A` - SIEF_NOEU/SIYY -Mode 3"," NON_REGRESSION"
    "Point :math:`A` - SIEF_NOEU/SIZZ -Mode 3"," NON_REGRESSION"
    "Point :math:`A` - SIEF_NOEU/SIXY -Mode 3"," NON_REGRESSION"
    "Point :math:`A` - SIEF_NOEU/SIXZ -Mode 3"," NON_REGRESSION"
    "Point :math:`A` - SIEF_NOEU/SIYZ -Mode 3"," NON_REGRESSION"



notes
---------

We cannot say anything in absolute terms about the precision of these values because we are testing values of
non-regression, but the two bases produced (in displacement and in constraints) will be tested
in the other models to compare with the full calculation.