F modeling
==============

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

This modeling is based on linear meshing. The 9 surface meshes (QUAD4) of each plate are affected by the MEMBRANEet model duplicated to form the groups DKT_X, DKT_Y and DKT_Z that are assigned from the DKT modeling.

In each case the membranes are oriented in the direction of the length of the plate.


Calculations and loads
----------------------

Two calculations are carried out on each plate of the mesh. Calculation loads are detailed on groups COQ_X/DKT_X. Then simply replace :math:`X` by :math:`Y` and then :math:`Z` to get the loads of the other calculations.


Reference calculation, pre-deformation defined by value
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

In the reference calculation, the following pre-deformation values are assigned:


.. csv-table::

    "", "G1X", "G2X", "G3X"
    "EXX ", "1E-3", "2E-3", "3E-3"
    "EYY ", "2E-3", "4E-3", "6E-3"
    "EXY ", "3E-3", "6E-3", "9E-3"


The dependence on time is taken into account by adding an "identity" multiplier function to the load.


Second calculation, pre-deformation defined by function
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The following pre-deformation load is affected on all the cells in group COQ_X:


.. csv-table::

    "EXX "," :math:`\mathrm{1E-3.}\mathit{escalier}(X)\mathrm{.}\mathit{INST}`"
    "EYY "," :math:`\mathrm{2E-3.}\mathit{escalier}(X)\mathrm{.}\mathit{INST}`"
    "EXY "," :math:`\mathrm{3E-3.}\mathit{escalier}(X)\mathrm{.}\mathit{INST}`"



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

Calculation on COQ_X/DKT_X **:**

Reference calculation:

.. csv-table::

    "**Identification**", "**T** reference type", "**Reference values**", "**Tolerance**"
    "Instant 1, FLX, DX", "'NON_REGRESSION'", "-", "-"
    "Instant 1, FLX, DY", "'NON_REGRESSION'", "-", "-"
    "Instant 2, FLX, DX", "'NON_REGRESSION'", "-", "-"
    "Instant 2, FLX, DY", "'NON_REGRESSION'", "-", "-"


Second calculation:

.. csv-table::

    "**Identification**", "**T** reference type", "**Reference values**", "**Tolerance**"
    "Instant 1, FLX, DX", "'AUTRE_ASTER'", "0.00426667367479", "1E-6"
    "Instant 1, FLX, DY", "'AUTRE_ASTER'", "0.000347860558941", "1E-6"
    "Instant 2, FLX, DX", "'AUTRE_ASTER'", "0.00853334734958", "1E-6"
    "Instant 2, FLX, DY", "'AUTRE_ASTER'", "0.000695721117883", "1E-6"


Calculation on COQ_Y/DKT_Y **:**

Reference calculation:

.. csv-table::

    "**Identification**", "**T** reference type", "**Reference values**", "**Tolerance**"
    "Instant 1, FLY, DX", "'NON_REGRESSION'", "-", "-"
    "Instant 1, FLY, DY", "'NON_REGRESSION'", "-", "-"


Second calculation:

.. csv-table::

    "**Identification**", "**T** reference type", "**Reference values**", "**Tolerance**"
    "Instant 1, FLY, DX", "'AUTRE_ASTER'", "0.000341832038815", "1E-6"
    "Instant 1, FLY, DY", "'AUTRE_ASTER'", "0.00426668139186", "1E-6"


Calculation on COQ_Z/DKT_Z **:**

Reference calculation:

.. csv-table::

    "**Identification**", "**T** reference type", "**Reference values**", "**Tolerance**"
    "Instant 1, FLZ, DY", "'NON_REGRESSION'", "-", "-"
    "Instant 1, FLZ, DZ", "'NON_REGRESSION'", "-", "-"


Second calculation:

.. csv-table::

    "**Identification**", "**T** reference type", "**Reference values**", "**Tolerance**"
    "Instant 1, FLZ, DY", "'AUTRE_ASTER'", "0.000347860558942", "1E-6"
    "Instant 1, FLZ, DZ", "'AUTRE_ASTER'", "0.00426667367479", "1E-6"