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


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

The modeling is 3D, only the edge of the frame is represented. Two calculations are performed with different pairing options, contact algorithms, and linear solvers.


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


.. image:: images/100000000000034E00000321C137ED6AAFAF80BB.png
    :width: 3.311in
    :height: 3.4528in


.. _RefImage_100000000000034E00000321C137ED6AAFAF80BB.png:

Number of knots: 792

Number of meshes and types: 320 HEXA8 for the plate and 32 QUAD4 for the frame.


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

First calculation (controlled geometric update, node matching, algorithm 'PENALISATION', solver 'MULT_FRONT')


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**"
    ":math:`\mathit{DX}` at the point :math:`A` instant :math:`1.0` ", "'SOURCE_EXTERNE'", "2.86E-5", "5.0%"
    ":math:`\mathit{DX}` at the point :math:`B` instant :math:`1.0` ", "'SOURCE_EXTERNE'", "2.72E-5", "5.0%"
    ":math:`\mathit{DX}` at the point :math:`C` instant :math:`1.0` ", "'SOURCE_EXTERNE'", "2.28E-5", "5.0%"
    ":math:`\mathit{DX}` at the point :math:`D` instant :math:`1.0` ", "'SOURCE_EXTERNE'", "1.98E-5", "5.0%"
    ":math:`\mathit{DX}` at the point :math:`E` instant :math:`1.0` ", "'SOURCE_EXTERNE'", "1,5E-5", "5,0%"


Second calculation (controlled geometric updating, nodal matching, algorithm 'PENALISATION', solver 'LDLT')


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**"
    ":math:`\mathit{DX}` at the point :math:`A` instant :math:`1.0` ", "'SOURCE_EXTERNE'", "2.86E-5", "5.0%"
    ":math:`\mathit{DX}` at the point :math:`B` instant :math:`1.0` ", "'SOURCE_EXTERNE'", "2.72E-5", "5.0%"
    ":math:`\mathit{DX}` at the point :math:`C` instant :math:`1.0` ", "'SOURCE_EXTERNE'", "2.28E-5", "5.0%"
    ":math:`\mathit{DX}` at the point :math:`D` instant :math:`1.0` ", "'SOURCE_EXTERNE'", "1.98E-5", "5.0%"
    ":math:`\mathit{DX}` at the point :math:`E` instant :math:`1.0` ", "'SOURCE_EXTERNE'", "1,5E-5", "5,0%"



notes
---------

The results obtained are close to the external source to within 5% (code mean). The linear solver has no influence on the results.

The 3D problem gives results identical to 2D following the blocking of the degrees of freedom following :math:`\mathit{DZ}`.