B modeling
==============


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

This is a 3D_HM modeling using quadratic HM- XFEM elements.


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

The block on which the modeling is performed is divided into 25 HEXA20.


Tested quantities and results
------------------------------

We test the value of the vertical movements for the nodes :math:`A`, :math:`A\text{'}`,,, :math:`B`,, :math:`B\text{'}`, :math:`C` and :math:`C\text{'}` on both sides of the interface. The tolerance is set to :math:`{10}^{-6}`. These values are summarised in the table below:


.. csv-table::

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



notes
---------

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


.. image:: images/10000000000004B2000002F3F82DF6676EC3FD67.png
    :width: 6.3146in
    :height: 3.9661in


.. _RefImage_10000000000004B2000002F3F82DF6676EC3FD67.png:

**Figure** 4.4-a **: Field of movement in direction (O** x **) and deformed**


.. image:: images/10000000000004B2000002F30A0A91E2AE3E01B1.png
    :width: 6.5075in
    :height: 4.0874in


.. _RefImage_10000000000004B2000002F30A0A91E2AE3E01B1.png:

Figure 4.4-b: Field of movement along the direction (Oz) and deformed