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


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

The modeling is 3D and uses law ENDO_ORTH_BETON.


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

Number of knots: 8

Number of meshes and type: 1 HEXA8


Loading description
-------------------------


First step: traction along the X axis
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


* side :math:`\mathrm{ADHE}`: :math:`\mathrm{DX}=0`


* side :math:`\mathrm{ABFE}`: :math:`\mathrm{DY}=0`


* side :math:`\mathrm{ABCD}`: :math:`\mathrm{DZ}=0`


* side :math:`\mathrm{DCGH}`: :math:`\mathrm{DY}=0`


* side :math:`\mathrm{EFGH}`: :math:`\mathrm{DZ}=0`


* side :math:`\mathrm{BCGF}`: :math:`\mathrm{DX}=\mathrm{2,5}\times {10}^{-3}`

The displacement :math:`\mathrm{DX}` imposed on face :math:`\mathrm{BCGF}` varies progressively according to the function shown in the figure below. Once the maximum is reached at :math:`t=\mathrm{1s}`, the :math:`\mathrm{DX}` movement of the face :math:`\mathrm{BCGF}` is then blocked for the next steps.


.. image:: images/10000000000002EF0000011B33F3EF25335824A3.png
    :width: 5.098in
    :height: 2.1028in


.. _RefImage_10000000000002EF0000011B33F3EF25335824A3.png:


Second step: traction along the Y axis
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


* side :math:`\mathrm{ADHE}`: :math:`\mathrm{DX}=0`


* side :math:`\mathrm{ABFE}`: :math:`\mathrm{DY}=0`


* side :math:`\mathrm{ABCD}`: :math:`\mathrm{DZ}=0`


* side :math:`\mathrm{BCGF}`: :math:`\mathrm{DX}=0`


* side :math:`\mathrm{DCGH}`: :math:`\mathrm{DY}=\mathrm{2,5}\times {10}^{-3}`

The displacement :math:`\mathrm{DY}` imposed on face :math:`\mathrm{DCGH}` varies progressively according to the function shown in the figure below. Once the maximum is reached at :math:`t=\mathrm{2s}`, the :math:`\mathrm{DY}` movement of the face :math:`\mathrm{DCGH}` is then blocked for the next steps.


.. image:: images/10000000000002F10000012340F951E8A24542B7.png
    :width: 4.8484in
    :height: 1.7165in


.. _RefImage_10000000000002F10000012340F951E8A24542B7.png:


Third and fourth steps: charging, discharging, and compressing along the Z axis
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


* side :math:`\mathrm{ADHE}`: :math:`\mathrm{DX}=0`


* side :math:`\mathrm{ABFE}`: :math:`\mathrm{DY}=0`


* side :math:`\mathrm{ABCD}`: :math:`\mathrm{DZ}=0`


* side :math:`\mathrm{BCGF}`: :math:`\mathrm{DX}=0`


* side :math:`\mathrm{DCGH}`: :math:`\mathrm{DY}=0`


* side :math:`\mathrm{EFGH}`: :math:`\mathrm{DZ}\ne 0`

The displacement :math:`\mathrm{DZ}` imposed on face :math:`\mathrm{EFGH}` varies progressively according to the function shown in the figure below:


.. image:: images/10000000000002F0000001F7885C19CDB0A3AA2D.png
    :width: 4.7508in
    :height: 3.2508in


.. _RefImage_10000000000002F0000001F7885C19CDB0A3AA2D.png:


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

The results are read at Gauss point 1.


.. csv-table::

    "Size", "Order Number", "Reference Type", "Reference", "Tolerance (%)"
    ":math:`\mathrm{V1}` "," :math:`2` ", "Non-regression", "-", "-"
    ":math:`\mathrm{SIXX}(\mathrm{Pa})` "," :math:`10` ", "Non-regression", "-", "-"
    ":math:`\mathrm{V2}` "," :math:`12` ", "Non-regression", "-", "-"
    ":math:`\mathrm{SIYY}(\mathrm{Pa})` "," :math:`20` ", "Non-regression", "-", "-"
    ":math:`\mathrm{V3}` "," :math:`22` ", "Non-regression", "-", "-"
    ":math:`\mathrm{SIZZ}(\mathrm{Pa})` "," :math:`25` ", "Non-regression", "-", "-"
    ":math:`\mathrm{V3}` "," :math:`31` ", "Non-regression", "-", "-"
    ":math:`\mathrm{SIZZ}(\mathrm{Pa})` "," :math:`40` ", "Non-regression", "-", "-"


**Table** 2.4-1