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


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

This is a D_ PLAN_HM modeling using quadratic HM- XFEM elements.


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

The block on which the modeling is performed is divided into 25 QUAD8.


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

We test the value of the vertical movements for the nodes :math:`A`, :math:`B` and :math:`C` which are located on each of the three interface branches. The tolerance is set to :math:`{10}^{-6}`. These values are summarized in the table below:


.. csv-table::

    "Quantities tested", "Reference type", "Reference value", "Tolerance"
    "DY (node A)", "'ANALYTIQUE'", "4.E-5", "1, E-06"
    "DY (node B)", "'ANALYTIQUE'", "4.E-5", "1, E-06"
    "DY (node C)", "'ANALYTIQUE'", "6.E-5", "1, E-06"
    "DX (Node A)", "'ANALYTIQUE'", "-5.7E-5", "1, E-06"
    "DX (Node B)", "'ANALYTIQUE'", "-4.3E-5", "1, E-06"
    "DX (Node C)", "'ANALYTIQUE'", "-4.7E-5", "1, E-06"



notes
---------

We also visualized the field of movement in the directions :math:`x` and :math:`y` (Figure and Figure). It is checked that the bar behaves like a non-cracked bar.


.. image:: images/10000000000004B2000002F3DC258A147A83DE20.png
    :width: 6.3827in
    :height: 4.0091in


.. _RefImage_10000000000004B2000002F3DC258A147A83DE20.png:

**Figure** 3.4-a **: Field of movement by direction (O** x **)**


.. image:: images/10000000000004B2000002F38DBD58BB15E1B40A.png
    :width: 6.3252in
    :height: 3.9728in


.. _RefImage_10000000000004B2000002F38DBD58BB15E1B40A.png:

Figure 3.4-b: Field of movement according to direction (Oy)