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


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

This is a D_ PLAN modeling using quadratic XFEM elements. The bar on which the modeling is performed is divided into 5 QUAD8. The interface is unmeshed and cuts off the center element in :math:`Y={L}_{d}=\frac{13\ast \mathit{LY}}{25}`. We have 3 XFEM elements and 2 classic elements.


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

The mesh is identical to that of modeling A, except that it is quadratic. It is composed of 5 QUAD8.


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

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


.. csv-table::

    "**Quantities tested**", "**Reference type**", "**Reference value**", "**Tolerance (%)**"
    "DY (below) MIN ", "'ANALYTIQUE'", "-2.6E-02", "0.001"
    "DY (above) MAX ", "'ANALYTIQUE'", "2.4E-02", "0.001"


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


.. csv-table::

    "**Quantities tested**", "**Reference type**", "**Reference value**", "**Tolerance (%)**"
    "DX (below [BC] side)", "'ANALYTIQUE'", "6.76E-02", "0.001"
    "DX (top side [BC])", "'ANALYTIQUE'", "-5.76E-02", "0.001"


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

**Figure** 4.3-a **: Field of movement by direction (Oy)**


.. image:: images/100000000000047C000002F66C33C4E6E8270326.png
    :width: 5.9598in
    :height: 3.6008in


.. _RefImage_100000000000047C000002F66C33C4E6E8270326.png:

**Figure** 4.3-b **: Field of movement according to direction (Ox)**


.. image:: images/100000000000047C000002F605F66FCC1B5107A4.png
    :width: 6.0492in
    :height: 4.0492in


.. _refImage_100000000000047c000002f605f66 FCC1B5107A4 .png: