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


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

We use a MEMBRANE modeling in large deformations (DEFORMATION =' GROT_GDEP ') with the Neo-Hookian law of behavior (RELATION =' ELAS_MEMBRANE_NH'). Bi-quadratic elements are used.


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

The mesh is the same as for C modeling.


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

The pressure applied during loading is tested.


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**", "**Precision**"
    "Instant 0.1 - :math:`\mathit{ETA}\text{\_}\mathit{PILO}` ", "'SOURCE_EXTERNE'", "109.55 :math:`N/{m}^{2}` "," 8%"
    "Instant 0.2 - :math:`\mathit{ETA}\text{\_}\mathit{PILO}` ", "'SOURCE_EXTERNE'", "531.73 :math:`N/{m}^{2}` "," 2%"
    "Instant 0.3 - :math:`\mathit{ETA}\text{\_}\mathit{PILO}` ", "'SOURCE_EXTERNE'", "995.8 :math:`N/{m}^{2}` "," 2%"
    "Instant 0.4 - :math:`\mathit{ETA}\text{\_}\mathit{PILO}` ", "'SOURCE_EXTERNE'", "1276.2 :math:`N/{m}^{2}` "," 2%"
    "Instant 0.5 - :math:`\mathit{ETA}\text{\_}\mathit{PILO}` ", "'SOURCE_EXTERNE'", "1366.9 :math:`N/{m}^{2}` "," 0.7%"
    "Instant 0.6 - :math:`\mathit{ETA}\text{\_}\mathit{PILO}` ", "'SOURCE_EXTERNE'", "1344.7 :math:`N/{m}^{2}` "," 0.6%"
    "Instant 0.7 - :math:`\mathit{ETA}\text{\_}\mathit{PILO}` ", "'SOURCE_EXTERNE'", "1280.6 :math:`N/{m}^{2}` "," 0.4%"
    "Instant 0.8 - :math:`\mathit{ETA}\text{\_}\mathit{PILO}` ", "'SOURCE_EXTERNE'", "1203.0 :math:`N/{m}^{2}` "," 0.3%"
    "Instant 0.9 - :math:`\mathit{ETA}\text{\_}\mathit{PILO}` ", "'SOURCE_EXTERNE'", "1124.4 :math:`N/{m}^{2}` "," 0.1%"
    "Instant 1.0 - :math:`\mathit{ETA}\text{\_}\mathit{PILO}` ", "'SOURCE_EXTERNE'", "1049.0 :math:`N/{m}^{2}` "," 0.1%"



.. image:: images/10000201000006CF00000512F0DBC90C32B5E7E4.png
    :width: 5.8098in
    :height: 4.3264in


.. _RefImage_10000201000006CF00000512F0DBC90C32B5E7E4.png:

Figure 6.2-a: Results of the D modeling vs numerical reference in figure :ref:`2.1 <RefNumPara__1789_3608235943>` -a.


notes
---------

We used on-the-go piloting (SUIV_PILO) as for the D modeling.

With bi-quadratic cells, therefore of a higher order than the reference solution, the results remain as satisfactory as with the quadratic cells of the E modeling.