Modeling A
==============

It is a question of comparing, based on a 3D mesh, the enriched models produced by the allocation of models: MECANIQUE /3D, MECANIQUE /3D/ CONTACT, THERMIQUE /3D, MECANIQUE /3D_HM, MECANIQUE /3D_HM, /3D_HM/ CONTACT.

With X- FEM, THERMIQUE /3D modeling is only available for linear elements, and MECANIQUE /3D_HM modeling with quadratic elements.

We therefore compare the enriched models produced by the assignment of the models:


* MECANIQUE /3D, MECANIQUE /3D/ CONTACT and THERMIQUE /3D, on a linear mesh


* MECANIQUE /3D, MECANIQUE /3D_ HMet MECANIQUE /3D_HM/ CONTACT on a quadratic mesh


Characteristics of linear meshing
-------------------------------------

The linear mesh contains all types of linear meshes that can support finite elements X- FEM of the MECANIQUE /3D, MECANIQUE /3D/ CONTACT, THERMIQUE /3D, MECANIQUE /3D_HM, MECANIQUE /3D_HM, /3D_HM, /3D_HM/ CONTACT models. The cracks are arranged in such a way that all the X- FEM elements of the modeling are tested. The mesh, as well as the two cracks considered (a circular crack and an interface) are represented in the figure below.


.. image:: images/10000201000002C2000002FA9F9C4D6DD1FEE4B0.png
    :width: 3.9366in
    :height: 4.248in


.. _RefImage_10000201000002C2000002FA9F9C4D6DD1FEE4B0.png:

**Figure** 2.1-a **: linear A mesh, and crack locations**

The characteristics of the mesh are summarized in the table below.


.. csv-table::

    "SEG2 "," TRIA3 "," QUAD4 "," TETRA4 "," "," PENTA6 "," PYRAM5 "," HEXA8"
    "80", "228", "540", "540", "1988", "1988", "918", "1000", "1700"



Characteristics of quadratic meshing
----------------------------------------

The quadratic mesh contains all types of quadratic cells (except TETRA10) that can support finite elements X- FEM for MECANIQUE /3D_HM modeling. The interface is arranged in such a way that all the X- FEM elements (except those based on TETRA10 meshes) of the MECANIQUE /3D_HM modeling are tested (here we do not consider a crack because the "crack-tip" elements do not exist for the MECANIQUE /3D_HM modeling). The mesh and the interface are shown in the figure below.


.. image:: images/1000020100000267000002A63F0B28E6DE3D2652.png
    :width: 3.8508in
    :height: 4.248in


.. _RefImage_1000020100000267000002A63F0B28E6DE3D2652.png:

**Figure** 2.2-a **: quadratic A mesh, and interface location**

The characteristics of the mesh are summarized in the table below.


.. csv-table::

    "SEG3 "," TRIA6 "," QUAD8 "," "," PENTA15 "," HEXA20"
    "80", "108", "580", "580", "1026", "1900"