F modeling
==============


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

We use a 3D model_ HHO_121 with HEXA27 elements. The mesh used is an extrusion of the modeling A mesh over a height of :math:`\mathrm{0,1}m` with a single element in the thickness. All degrees of freedom are blocked according to :math:`Z` in order to approximate the hypothesis of plane deformations used in models A and B.


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

Number of meshes: 1731

QUAD9: 1052

HEXA27: 480


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

We test the :math:`\mathrm{SIYY}` coordinate of the stress tensor at various points along the :math:`\mathrm{IJ}` path compared to the B modeling.


.. csv-table::

    "**Curvilinear abscissa**", "**Reference**", "**Precision**", "**Test**"
    "0.0", "234.122"," :math:`3\times {10}^{-2}` "," AUTRE_ASTER"
    "1.53224", "256.988"," :math:`2\times {10}^{-2}` "," AUTRE_ASTER"
    "3.26890", "300.287"," :math:`1\times {10}^{-2}` "," AUTRE_ASTER"
    "3.80797", "267.555"," :math:`1\times {10}^{-2}` "," AUTRE_ASTER"
    "4.40378", "183.498"," :math:`\mathrm{0,33}` "," AUTRE_ASTER"


In addition, we test (in non-regression):


* The SIXX and SIYY constraint at node B