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


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

Interfaces and cracks are defined by level sets.

The zone indicator provided by RAFF_XFEM is used.

The advantage of this modeling is to present the most successful methodology, which uses the indicator by zone.


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

The initial mesh is the same as that of modeling B. After refinement, we obtain the refined mesh shown on the. It is interesting to note the good regularity of the mesh sizes in the area of interest (see).


.. image:: images/100002010000031E000003238A8E6C0122E5779D.png
    :width: 4.6846in
    :height: 4.7126in


.. _RefImage_100002010000031E000003238A8E6C0122E5779D.png:

Figure 5.2-1: refined healthy mesh


.. image:: images/10000000000004A900000377580F035603B926C1.png
    :width: 6.3374in
    :height: 4.7118in


.. _RefImage_10000000000004A900000377580F035603B926C1.png:

Figure 5.2-2: refined healthy mesh - zoom around the bottom of crack No. 1 of the crack centered at A and size map in the zone of interest


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

The value of the minimum mesh size is tested.


.. csv-table::

    "**Identification**", "**Reference**", "**Reference type**", ":math:`\text{\%}` **tolerance**"
    ":math:`\mathit{min}(h)` ", "0.004419", "'ANALYTIQUE'", "0.1%"


This test will be improved when we can better test the maps.