C modeling
==============


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

It is a 3D model using linear XFEM elements. The column on which the modeling is performed is divided into 5 HEXA8. The interface is unmeshed and cuts the column in :math:`Z={L}_{d}=\frac{2\ast \mathit{LZ}}{5}`. The interface is thus in accordance with the mesh. We have 2 XFEM elements and 3 classic elements.


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

The mesh composed of 5 HEXA8 is shown in Figure.


.. image:: images/1000000000000623000003810D000F46D85FDD8A.png
    :width: 5.9583in
    :height: 3.4866in


.. _RefImage_1000000000000623000003810D000F46D85FDD8A.png:

**Figure** 5.2-a **: 2D mesh**


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

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


.. csv-table::

    "**Quantities tested**", "**Reference type**", "**Reference value**", "**Tolerance (%)**"
    "DZ (below) MIN ", "'ANALYTIQUE'", "-2.0E-02", "0.001"
    "DZ (above) MAX ", "'ANALYTIQUE'", "3.0E-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'", "2.0E-02", "0.001"
    "DX (above face [BCFG])", "'ANALYTIQUE'", "-3.0E-02", "0.001"


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

**Figure** 5.3-a **: Field of movement by direction (Oz)**


.. image:: images/100000000000047C000002F6863585353599B1F5.png
    :width: 5.6098in
    :height: 3.6098in


.. _RefImage_100000000000047C000002F6863585353599B1F5.png:

**Figure** 5.3-b **: Field of movement according to direction (Ox)**


.. image:: images/100000000000047C000002F6E4F5E4B83B627635.png
    :width: 5.672in
    :height: 3.5654in


.. _RefImage_100000000000047C000002F6E4F5E4B83B627635.png: