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


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

We use 3D modeling in non-linear mechanics with model reduction.

This modeling tests the accuracy of the empirical modes obtained in the E modeling.

We therefore use the bases produced in the E modeling.


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

The mesh contains 27 elements of type HEXA8.


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

The value of the displacements obtained with a reduced model is tested compared to those obtained.
in the full model:


.. csv-table::

    "**Location**", "**Moment**", "**Component**", "**Movement (** DEPL **)**", "**Instant**", "**Precision**"
    "Node A in :math:`({1,0,3})` "," :math:`t=10s` ", "DX", ":math:`{0,0696319525128}\,{mm}` ", "0.0015"
    "Node A in :math:`({1,0,3})` "," :math:`t=10s` ", "DY", ":math:`{0,199062276741}\,{mm}` ", "<1.0E -6%"
    "Node A in :math:`({1,0,3})` "," :math:`t=10s` ", "DZ", ":math:`{0,529606351907}\,{mm}` ", "<1.0E -6%"


And the constraints:


.. csv-table::

    "**Location**", "**Instant**", "**Component**", "**Component**", "**Constraint (** SIEF_NOEU **)**", "**Precision**"
    "Node A in :math:`({1,0,3})` "," :math:`t=10s` "," "," SIXX "," :math:`-{2739,13961277}\,{MPa}` "," 0.2%"
    "Node A in :math:`({1,0,3})` "," :math:`t=10s` "," "," SIYY "," :math:`-{2737,51235419}\,{MPa}` "," 0.2%"
    "Node A in :math:`({1,0,3})` "," :math:`t=10s` "," "," SIZZ "," :math:`-{2612,22311229}\,{MPa}` "," 0.2%"


We test the values of the reduced coordinates (table COOR_REDUIT) :math:`{a}_{m}^{u}` calculated
during the reduced calculation in STAT_NON_LINE. For the primal base (trips):


.. csv-table::

    "**Identification**", "**Instant**", "**Mode**", "**Reference type**"
    ":math:`{a}_{m={1,}t=1s}^{u}` "," :math:`t=1s` ", "1"," NON_REGRESSION"
    ":math:`{a}_{m={2,}t=10s}^{u}` "," :math:`t=10s` ", "2"," NON_REGRESSION"


We are also testing PREDICTION =' EXTRAPOLE ':


.. csv-table::

    "**Location**", "**Moment**", "**Component**", "**Movement (** DEPL **)**", "**Instant**", "**Precision**"
    "Node A in :math:`({1,0,3})` "," :math:`t=10s` ", "DX", ":math:`{0,0696319525128}\,{mm}` ", "0.0015"
    "Node A in :math:`({1,0,3})` "," :math:`t=10s` ", "DY", ":math:`{0,199062276741}\,{mm}` ", "<1.0E -6%"
    "Node A in :math:`({1,0,3})` "," :math:`t=10s` ", "DZ", ":math:`{0,529606351907}\,{mm}` ", "<1.0E -6%"


We test the values of the reduced coordinates (table COOR_REDUIT) :math:`{a}_{m}^{u}` calculated
during the reduced calculation in STAT_NON_LINE. For the primal base (trips):


.. csv-table::

    "**Identification**", "**Instant**", "**Mode**", "**Reference type**"
    ":math:`{a}_{m={1,}t=1s}^{u}` "," :math:`t=1s` ", "1"," NON_REGRESSION"
    ":math:`{a}_{m={2,}t=10s}^{u}` "," :math:`t=10s` ", "2"," NON_REGRESSION"



notes
---------

We can see that the base produced in modeling E makes it possible to obtain very good results.
 (error less than 0.2%) compared to the complete calculation except for the last three constraints.
 But for the latter, it is not significant because the constraints are very low.