D modeling
==============

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

The law of behavior tested is' BETON_DOUBLE_DP ', it is documented in doc R7.01.03. This law is used to describe the nonlinear behavior of concrete. It includes a Drücker Prager criterion in tension and a Drücker Prager criterion in compression, decoupled. Both criteria can have softening work hardening.

The elastic parameters are as follows:

:math:`E(T)`, :math:`\nu (T)`, and :math:`\alpha (T)`

The elasto-plastic parameters are as follows:

:math:`f\text{'}c(T)`, :math:`f\text{'}t(T)`, :math:`\beta (T)`, :math:`{G}_{C}(T)`,, :math:`{G}_{T}(T)`, and :math:`\phi`

Values of the parameters used


.. csv-table::

    "Settings", ":math:`T\mathrm{=}0°C` "," :math:`T=20°C` "," "," :math:`T=400°C` "," :math:`T=800°C`"
    ":math:`E(T)` "," :math:`\mathrm{37000.MPa}` "," :math:`32000.\mathit{MPa}` "," :math:`15000.\mathrm{MPa}` "," :math:`5000.\mathrm{MPa}`"
    ":math:`\nu (T)` "," :math:`0.` ", "", "", ":math:`0.`"
    ":math:`\alpha (T)` "," :math:`1.\mathrm{\times }{10}^{\mathrm{-}5}{K}^{\mathrm{-}1}` ", "", "", ":math:`2.\mathrm{\times }{10}^{\mathrm{-}5}{K}^{\mathrm{-}1}`"
    ":math:`f\text{'}c(T)` "," :math:`40.` ", "", ":math:`40.` "," :math:`15.`"
    ":math:`f\text{'}t(T)` "," :math:`4.` ", "", ":math:`4.` "," :math:`1.5`"
    ":math:`\beta (T)` "," :math:`1.16` ", "", "", ":math:`1.16`"
    ":math:`{G}_{C}(T)` "," :math:`10.` ", "", "", ":math:`10.`"
    ":math:`{G}_{T}(T)` "," :math:`0.1` ", "", "", ":math:`0.1`"
    ":math:`\phi` "," :math:`33.3333` "," :math:`33.3333` "," :math:`33.3333` "," :math:`33.3333`"



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 ", "33.602"," 0.10%"
    "RESU_19 "," TRACE (MPa)", "AUTRE_ASTER "," -33.602", "0.10%"
    "RESU_19 ", "V1"," AUTRE_ASTER ", "6.9118E-03"," 0.10%"
    "RESU_19 ", "V3"," AUTRE_ASTER ", "500. "," 0.10%"
    "RESU_19 ", "V4"," AUTRE_ASTER ", "1"," 0.10%"