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


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

The characteristics are identical to the reference solution. The modeling is of type3D_ DIL, with a penalty coefficient equal to 100 times Young's modulus.


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

Number of knots 9009

Number of TRIA6 768

Number of TETRA10 12288

Number of group of elements 6


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

The quantities tested relate to error standards :math:`\theta \left(\nabla X\right)` and :math:`\theta \left(\epsilon \right)` according to the relationships:

:math:`\theta \left(\nabla \chi \right)=\sqrt{{\int }_{\mathit{boule}}\left(\nabla {\chi }^{\mathit{analytique}}\left(X\right)-\nabla {\chi }^{\mathit{numérique}}\left(X\right)\right)}`

:math:`\theta \left(\epsilon \right)=\sqrt{{\int }_{\mathit{boule}}\left({\epsilon }^{\mathit{analytique}}\left(X\right)-{\epsilon }^{\mathit{numérique}}\left(X\right)\right)}`



The reference is here considered to be 'NON_REGRESSION' as long as the test focuses on the :math:`\theta \left(\nabla X\right)` and :math:`\theta \left(\epsilon \right)` error standards and not on the :math:`\nabla X` and :math:`\epsilon` components.






.. csv-table::

    "**Tested value**", "**Instant**", "**Reference**", "**Criterion**", "**Aster**", "**Tolerance**"
    ":math:`\theta \left(\epsilon \right)` ", "1.0", "'NON_REGRESSION'", "'", "RELATIF "," 0.0028421", "0.1%"
    ":math:`\theta \left(\nabla X\right)` ", "1.0", "'NON_REGRESSION'", "'", "RELATIF "," 0.06", "0.1%"