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


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

We use a 3D_SI modeling with sub-integrated HEXA8 elements stabilized by the assumed strain method. 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 knots: 1054

Number of meshes: 1731

QUAD4: 1052

HEXA8: 480


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

We test the :math:`\mathit{SIYY}` coordinate of the stress tensor at various points in the :math:`\mathit{IJ}` path compared to the D (AUTRE_ASTER) modeling:


.. csv-table::

    "**Curvilinear abscissa**", "**Reference**", "**Precision**", "**Test**"
    "0.0", "234.122"," :math:`1\times {10}^{-2}` "," AUTRE_ASTER"
    "1.53224", "256.988"," :math:`1\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:`1\times {10}^{-2}` "," AUTRE_ASTER"


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


* ERME_ELEM and ERME_ELNO (residual error)


* The SIXX and SIYY constraint at node B