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

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

The law of behavior tested 'LEMAITRE', is documented in doc R5.03.08. It is a non-linear viscoplastic law of LEMAITRE with no threshold. Values of the parameters used:


.. csv-table::

    "Settings", ":math:`T=20°C` "," :math:`T=500°C`"
    ":math:`E(T)` "," :math:`1.E5\mathit{MPa}` "," :math:`2.E5\mathit{MPa}`"
    ":math:`\nu (T)` "," :math:`0.` "," :math:`0.`"
    ":math:`\alpha (T)` "," :math:`2.E-5{K}^{-1}` "," :math:`2.E-5{K}^{-1}`"
    ":math:`N(T)` "," :math:`10.8` "," :math:`8.0`"
    ":math:`1/K(T)` "," :math:`6.9E-4{(\mathit{MPa})}^{-1}` "," :math:`4.0E-4{(\mathit{MPa})}^{-1}`"
    ":math:`1/M(T)` "," :math:`0.102` "," :math:`0.05`"



Tested sizes and 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 "," 1037.97825", "0.10%"
    "RESU_19 "," TRACE (MPa)", "AUTRE_ASTER "," -1037.97825", "0.10%"
    "RESU_19 ", "V1"," AUTRE_ASTER ", "4.410109E-3"," 0.10%"