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


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

This is a 3D_HM modeling using quadratic HM- XFEM elements. The column on which the modeling is performed is divided into 5 HEXA20. The interface is unmeshed and cuts off the central element. So we have 3 HM- XFEM elements and 2 classical HM elements (the two hexahedra that form the ends of the column). As indicated in the Figure, the 3 elements XFEM are subdivided into sub-tetrahedra (to perform the Gauss-Legendre integration on either side of the lips of the interface, but these tetrahedral sub-elements are not elements of the mesh).

**Figure** 4.1-a **: Characteristics of modelling**


.. image:: images/10000201000001F90000031D78A19AF7313F49D9.png
    :width: 3.0445in
    :height: 4.8193in


.. _RefImage_10000201000001F90000031D78A19AF7313F49D9.png:


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

The mesh consists of 5 quadratic hexahedral cells (HEXA20).


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

The results (resolution with STAT_NON_LINE) are summarised in the table below. To test all the nodes of the bar at the same time, we calculate MIN and MAX.


.. csv-table::

    "**Quantities tested**", "**Reference type**", "**Reference value**", "**Tolerance (%)**"
    "PRE1 (Z=4mand Z=6m) MIN ", "'ANALYTIQUE'", "8 MPa ", "0.001"
    "PRE1 (Z=4mand Z=6m) MAX ", "'ANALYTIQUE'", "8 MPa ", "0.001"
    "LAG_FLI (below) MIN ", "'ANALYTIQUE'", "4.07748 kg.m²/s", "0.01"
    "LAG_FLS (above) MAX ", "'ANALYTIQUE'", "4.07748 kg.m²/s", "0.01"