Modeling I
==============

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

The law of behavior tested 'VISCOCHAB', is documented in doc R5.03.12. It is a Chaboche law of elastoviscoplastic behavior with 2 kinematic variables. Values of the parameters used:


.. csv-table::

    "Settings", ":math:`T=20°C` "," :math:`T=200°C`"
    ":math:`E(T)` "," :math:`150000\mathit{MPa}` "," :math:`100000\mathit{MPa}`"
    ":math:`\nu (T)` "," :math:`0.` "," :math:`0.`"
    ":math:`\alpha (T)` "," :math:`1.E-5{K}^{-1}` "," :math:`2.E\mathrm{-}5{K}^{\mathrm{-}1}`"
    ":math:`K(T)` "," :math:`25` "," :math:`40`"
    ":math:`{\mathit{ALPHA}}_{K}(T)` "," :math:`1.` "," :math:`1.`"
    ":math:`{\mathit{ALPHA}}_{R}(T)` "," :math:`0.5` "," :math:`0.8`"
    ":math:`{K}_{0}(T)` "," :math:`60` "," :math:`80`"
    ":math:`N(T)` "," :math:`30` "," :math:`15`"
    ":math:`B` "," :math:`15` "," :math:`15`"
    ":math:`\mathit{MR}` "," :math:`2` "," :math:`2`"
    ":math:`{\mathit{GAMMA}}_{R}(T)` "," :math:`2.5E-7` "," :math:`2.5E-7`"
    ":math:`\mathit{MU}(T)` "," :math:`22` "," :math:`16`"
    ":math:`Q0(T)` "," :math:`40` "," :math:`45`"
    ":math:`\mathit{Qm}(T)` "," :math:`500` "," :math:`400`"
    ":math:`\mathit{Qr}0(T)` "," :math:`150` "," :math:`250`"
    ":math:`\mathit{ETA}(T)` "," :math:`\mathrm{0,06}` "," :math:`\mathrm{0,03}`"
    ":math:`C1` "," :math:`1600` "," :math:`1600`"
    ":math:`m1(T)` "," :math:`3` "," :math:`6`"
    ":math:`d1(T)` "," :math:`0.360E-3` "," :math:`0.420E-3`"
    ":math:`\mathit{gx}1(T)` "," :math:`2.5E-13` "," :math:`1.5E-13`"
    ":math:`g10(T)` "," :math:`40` "," :math:`60`"
    ":math:`C2` "," :math:`55000` "," :math:`55000`"
    ":math:`m2(T)` "," :math:`5` "," :math:`\mathrm{3,5}`"
    ":math:`d2(T)` "," :math:`0.50E-1` "," :math:`0.60E-1`"
    ":math:`\mathit{gx}2(T)` "," :math:`0.8E-12` "," :math:`1.5E-12`"
    ":math:`g20(T)` "," :math:`1500` "," :math:`1000`"
    ":math:`\mathit{AI}` "," :math:`\mathrm{0,41}` "," :math:`\mathrm{0,56}`"



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 ", "146.8715755775"," 0.10%"
    "RESU_19 "," TRACE (MPa)", "AUTRE_ASTER "," -146.871575577", "0.10%"
    "RESU_19 ", "V1"," AUTRE_ASTER ", "-2.14217961397"," 0.10%"
    "RESU_19 ", "V2"," AUTRE_ASTER ", "1.071089806986"," 0.10%"
    "RESU_19 ", "V3"," AUTRE_ASTER ", "1.071089806986"," 0.10%"