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


Characteristic of modeling
----------------------------------

Modeling tests GDEF_LOG in AXIS


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

The mesh is done under GIBI. It is shown in FIG. 2. It contains 1440 nodes for 445 quadratic quadrangular elements (QUAD8).


.. image:: images/10000000000002240000006718ACE636A169A66B.png
    :width: 5.7075in
    :height: 1.0728in


.. _RefImage_10000000000002240000006718ACE636A169A66B.png:

 **Figure 2: GIBI mesh used**


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

     For the deformation of SIMO_MIEHE:


.. csv-table::

    "Imposed displacement", "Quantities tested", "Reference (AUTRE_ASTER)", "Tolerance"
    ":math:`U=\mathrm{0,6}\mathit{mm}` "," REAC_NODA out of :math:`P8P9` "," :math:`\mathrm{6616,59}N` ", "5.0E-3"
    "", ":math:`\mathit{Ux}` in :math:`P1` "," :math:`-\mathrm{0,0845}\mathit{mm}` ", "5.0E-3"
    ":math:`U=3\mathit{mm}` "," REAC_NODA out of :math:`P8P9` "," :math:`21541N` ", "5.0E-3"
    "", ":math:`\mathit{Ux}` in :math:`P1` "," :math:`-\mathrm{0,3766}\mathit{mm}` ", "5.0E-3"
    ":math:`U=6\mathit{mm}` "," REAC_NODA out of :math:`P8P9` "," :math:`33821N` ", "5.0E-3"
    "", ":math:`\mathit{Ux}` in :math:`P1` "," :math:`-\mathrm{0,826}\mathit{mm}` ", "5.0E-3"


     For the deformation of GDEF_LOG, in comparison with SIMO_MIEHE:


.. csv-table::

    "Imposed displacement", "Quantities tested", "Reference (AUTRE_ASTER)", "Tolerance"
    ":math:`U=\mathrm{0,6}\mathit{mm}` "," REAC_NODA out of :math:`P8P9` "," :math:`\mathrm{6616,59}N` "," 1%"
    "", ":math:`\mathit{Ux}` in :math:`P1` "," :math:`-\mathrm{0,0845}\mathit{mm}` "," 1%"
    ":math:`U=3\mathit{mm}` "," REAC_NODA out of :math:`P8P9` "," :math:`21541N` "," 1%"
    "", ":math:`\mathit{Ux}` in :math:`P1` "," :math:`-\mathrm{0,3766}\mathit{mm}` "," 1%"
    ":math:`U=6\mathit{mm}` "," REAC_NODA out of :math:`P8P9` "," :math:`33821N` "," 1%"
    "", ":math:`\mathit{Ux}` in :math:`P1` "," :math:`-\mathrm{0,826}\mathit{mm}` "," 1%"