B modeling
==============


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

The behavior is MONOCRISTAL, in small deformations (DEFORMATION =' PETIT '), but with crystal lattice rotation (ROTA_RESEAU =' CALC' in DEFI_COMPOR).


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


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

Small deformations, comparison to modeling C.


+----------------------------------------------------------------+-----------------------+-------------+-------------+
|**Variable**                                                    |**Moments** :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      |0.011        |
+----------------------------------------------------------------+-----------------------+-------------+-------------+
|:math:`{\rho }_{1}` VARI_ELGA/V7)                               |0.02                   |9.8085E-07   |0.01         |
+----------------------------------------------------------------+-----------------------+-------------+-------------+
|:math:`{\gamma }_{1}` VARI_ELGA/V8)                             |0.02                   |0.0385       |0.012        |
+----------------------------------------------------------------+-----------------------+-------------+-------------+
|:math:`{\rho }_{9}` VARI_ELGA/V31)                              |0.02                   |1.0741E-07   |0.13         |
+----------------------------------------------------------------+-----------------------+-------------+-------------+
|:math:`{\gamma }_{9}` VARI_ELGA/V32)                            |0.02                   |1.04944E-03  |0.30         |
+----------------------------------------------------------------+-----------------------+-------------+-------------+
|Non-regression test on the last two values                                                                          |
+----------------------------------------------------------------+-----------------------+-------------+-------------+

.. csv-table::

    ":math:`{\rho }_{9}` VARI_ELGA/V31)", "0.02", "9.5373E-08", "0.001"
    ":math:`{\gamma }_{9}` VARI_ELGA/V32)", "0.02", "7.6027E-04", "0.001"


Large deformations, no regression


.. csv-table::

    "**Variable**", "**Instants** :math:`(s)` ", "**Reference**", "**Tolerance**"
    ":math:`{E}_{\mathrm{zz}}` EPSG_ELGA ", "0.2", "0.22385", "0.001"
    ":math:`{\sigma }_{\mathrm{zz}}` (:math:`\mathrm{Mpa}`) SIEF_ELGA ", "0.2", "320.153", "0.001"
    ":math:`{\rho }_{1}` VARI_ELGA/V7)", "0.2", "1.731E-05", "0.001"
    ":math:`{\gamma }_{1}` VARI_ELGA/V8)", "0.2", "0.31346", "0.001"
    ":math:`{\rho }_{9}` VARI_ELGA/V31)", "0.2", "8.37E-07", "0.001"
    ":math:`{\gamma }_{9}` VARI_ELGA/V32)", "0.2", "0.010410", "0.001"
    ":math:`{\rho }_{12}` VARI_ELGA/V40)", "0.2", "1.719E-05", "0.001"
    ":math:`{\gamma }_{12}` VARI_ELGA/V41)", "0.2", "0.11118", "0.001"