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

Behavioral law and material parameters
-------------------------------------------

The law of behavior tested is' MAZARS ', it is documented in doc [:ref:`R7.01.08 <R7.01.08>`]. This fragile elastic law makes it possible to account for the softening of concrete and distinguishes between tensile and compressive damage.

The elastic parameters are as follows: :math:`E(T)`, :math:`\nu (T)`, and :math:`\alpha (T)`

The elasto-plastic parameters are: :math:`{\varepsilon }_{0}(T)`, :math:`{A}_{C}(T)`, :math:`{A}_{T}(T)`,,,, :math:`{B}_{C}(T)`, :math:`{B}_{T}(T)` and :math:`k`

Values of the parameters used:

.. csv-table::

    "Settings", ":math:`T\mathrm{=}0°C` "," :math:`T=500°C`"
    ":math:`E(T)` "," :math:`32000.\mathit{MPa}` "," :math:`16000.\mathit{MPa}`"
    ":math:`\nu (T)` "," :math:`0.2` "," :math:`0.18`"
    ":math:`\alpha (T)` "," :math:`1.2E\mathrm{-}5{K}^{\mathrm{-}1}` "," :math:`2.0E5{K}^{\mathrm{-}1}`"
    ":math:`{\varepsilon }_{0}(T)` "," :math:`0.0001` "," :math:`0.00005`"
    ":math:`{A}_{C}(T)` "," :math:`1.4` "," :math:`1.0`"
    ":math:`{A}_{T}(T)` "," :math:`1.0` "," :math:`0.8`"
    ":math:`{B}_{C}(T)` "," :math:`2000.` "," :math:`1000.`"
    ":math:`{B}_{T}(T)` "," :math:`10000.` "," :math:`20000.`"
    ":math:`k` "," :math:`0.7` "," :math:`0.7`"



Results
---------

.. csv-table::

    "Result at order number :math:`i` ", "Name of the tested parameter", "Name of the tested parameter", "Reference type", "Tolerance"
    "RESU_19 "," VMIS (MPa)", "AUTRE_ASTER ", "1.402148E7"," 0.10%"
    "RESU_19 "," TRACE (MPa)", "AUTRE_ASTER "," -1.402148E7", "0.10%"
    "RESU_19 ", "V1"," AUTRE_ASTER ", "0.9087143"," 0.10%"
    "RESU_19 ", "V2"," AUTRE_ASTER ", "1"," 0.10%"
    "RESU_19 ", "V4"," AUTRE_ASTER ", "2.443761E-3"," 0.10%"