D modeling
==============


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

This is a 3D model using quadratic XFEM elements. The column on which the modeling is performed is divided into 5 HEXA20. The interface is unmeshed and cuts the column in :math:`Z={L}_{d}=\frac{\mathit{LZ}}{2}`. The interface is thus in accordance with the middle nodes of the central element. We have 3 XFEM elements and 2 classic elements.


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

The mesh is identical to that of the c-modeling except that it is quadratic. It is composed of 5 HEXA20.


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

The results (resolution with STAT_NON_LINE) are summarized in the table below for the :math:`z` direction. We are testing the following :math:`z` movement of the interface nodes.


.. csv-table::

    "**Quantities tested**", "**Reference type**", "**Reference value**", "**Tolerance (%)**"
    "DZ (below) MIN ", "'ANALYTIQUE'", "-2.5E-02", "0.001"
    "DZ (above) MAX ", "'ANALYTIQUE'", "2.5E-02", "0.001"


We also test the displacement along :math:`x` of two interface nodes located on the face [BCFG] and respectively on the lower and upper lip of the crack.


.. csv-table::

    "**Quantities tested**", "**Reference type**", "**Reference value**", "**Tolerance (%)**"
    "DX (underside [BCFG])", "'ANALYTIQUE'", "6.25E-02", "0.001"
    "DX (above face [BCFG])", "'ANALYTIQUE'", "-6.25E-02", "0.001"


The displacement field is presented in the direction :math:`z` (Figure) and :math:`x` (Figure).

**Figure** 6.3-a **: Field of movement by direction (Oz)**


.. image:: images/100000000000047C000002F64561963E75D0B5EB.png
    :width: 5.8291in
    :height: 3.8563in


.. _RefImage_100000000000047C000002F64561963E75D0B5EB.png:

**Figure** 6.3-b **: Field of movement according to direction (Ox)**


.. image:: images/100000000000047C000002F6A18396A2F62E2FA2.png
    :width: 5.9429in
    :height: 3.9602in


.. _refImage_100000000000047c000002f6a18396a2f62e2 FA2 .png: