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


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

The behavior is MONOCRISTAL, in small deformations (DEFORMATION =' PETIT ')


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


Tested values
~~~~~~~~~~~~~~~~

Imposed deformation of 0.02, non-regression test.


.. csv-table::

    "**Variable**", "**Instants** :math:`(s)` ", "**Reference**", "**Tolerance**"
    ":math:`{E}_{\mathrm{zz}}` EPSG_ELGA ", "0.02", "0.02023", "0.001"
    ":math:`{\sigma }_{\mathrm{zz}}` (:math:`\mathrm{Mpa}`) SIEF_ELGA ", "0.02", "114.125", "0.001"
    ":math:`{\rho }_{1}` VARI_ELGA/V7)", "0.02", "9.8085E-07", "0.001"
    ":math:`{\gamma }_{1}` VARI_ELGA/V8)", "0.02", "0.0385", "0.001"
    ":math:`{\rho }_{9}` VARI_ELGA/V31)", "0.02", "1.0741E-07", "0.001"
    ":math:`{\gamma }_{9}` VARI_ELGA/V32)", "0.02", "1.04944E-03", "0.001"


Imposed deformation of 0.2, non-regression test.


.. csv-table::

    "**Variable**", "**Instants** :math:`(s)` ", "**Reference**", "**Tolerance**"
    ":math:`{E}_{\mathrm{zz}}` EPSG_ELGA ", "0.2", "0.22444", "0.001"
    ":math:`{\sigma }_{\mathrm{zz}}` (:math:`\mathrm{Mpa}`) SIEF_ELGA ", "0.2", "230,7133", "0.001"
    ":math:`{\rho }_{1}` VARI_ELGA/V7)", "0.2", "1.49E-05", "0.001"
    ":math:`{\gamma }_{1}` VARI_ELGA/V8)", "0.2", "0.3567", "0.001"
    ":math:`{\rho }_{9}` VARI_ELGA/V31)", "0.2", "6.30676E-06", "0.001"
    ":math:`{\gamma }_{9}` VARI_ELGA/V32)", "0.2", "0.05493", "0.001"
    ":math:`{\rho }_{12}` VARI_ELGA/V40)", "0.2", "6.45160E-08 :math:`\text{}={\rho }_{0}` ", "0.001"
    ":math:`{\gamma }_{12}` VARI_ELGA/V41)", "0.2", "0", "0.001"


This modeling also includes two additional calculations:


* the first with an interaction matrix provided in a table:


    .. image:: images/Object_107.png
        :width: 6.1071 in
        :height: 2.3193 in


    .. _RefSchema_Object_107.png:

- the second one also uses 12 sliding systems given in a table


.. image:: images/Object_108.png
    :width: 3.0063in
    :height: 2.3193in


.. _RefSchema_Object_108.png:


* the values provided for the interaction matrix and the sliding systems are identical to the values of the interaction matrix and the systems of the chosen behavior (cf. [R5.03.11) It is therefore verified that the results are the same.