Reference problem
=====================

Geometry
---------

It is a cube with a side of :math:`{200mm}`.

.. figure:: ../../../man_v/v4/v4.61.104/images/cubeMesh.png
 :name: v4.61.104-CubeMesh

    Cube mesh


Material properties
----------------------

The bar is made of steel. Thermal properties (conductivity and enthalpy of the material)
vary with temperature.

Parameters for metallurgy
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Diagram TRC is defined in ``mtlp104a.12``.

.. csv-table:: Caractéristiques métallurgiques
 :header: "Parameter", "Value"
    :widths: 10, 50

    AR3, 830°C
    ALPHA, -0.0247
    MS0, 450°C
    AC1, 716.3°C
    AC3, 802.6°C
    TAUX_1, 0.034
    TAUX_3, 0.034

For income:

.. csv-table:: Caractéristiques métallurgiques pour le revenu
 :header: "Parameter", "Value"
    :widths: 10, 50

    TEMP, 550°C
    TEMP_MAINTIEN, 610°C
    BAINITE_B, 0.064380728515158
    BAINITE_N, 0.216028726635953
    MARTENSITE_B, 0.22414091
    MARTENSITE_N, 0.14349531

And for calculating the hardness:

.. csv-table:: Caractéristiques pour la dureté
 :header: "Parameter", "Value"
    :widths: 10, 50

    F1_ DURT, 200.0
    F2_ DURT, 200.0
    F3_ DURT, 300.0
    F4_ DURT, 400.0
    F3_ REVENU_DURT, 300.0
    F4_ REVENU_DURT, 400.0
    C_ DURT, 100.0


Parameters for thermal
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. csv-table:: Caractéristiques thermiques (valeur de :math:`\lambda(T)`)
 :header: "Temperature (°C)", "Value (:math:`W {m}^-1 {K^{-1}})`)"
    :widths: 10, 50

    20.0, :math:`41.0`
    200.0, :math:`41.0`
    400.0, :math:`36.4`
    600.0, :math:`29.0`
    700.0, :math:`22.0`
    1300.0, :math:`25.0`
    1450.0, :math:`35.0`
    1500.0, :math:`70.0`
    1600.0, :math:`70.0`
    1700.0, :math:`70.0`
    1800.0, :math:`70.0`

.. csv-table:: Caractéristiques thermiques (valeur de :math:`\rho_{C_p}(T)`)
 :header: "Temperature (°C)", "Value (:math:`J {kg}^-1 {K^{-1}})`)"
    :widths: 10, 50

    20.0, :math:`3900000.0`
    400.0, :math:`3900000.0`
    1402.0, :math:`3900000.0`


Boundary conditions and loads
-------------------------------------

A constant temperature field is imposed in space (over the whole cube).

.. csv-table::
 :header: "Time :math:`(s)` ", "Temperature (°C)"
    :widths: 10, 50

    0., 20.0
    1., 150.0
    2., 550.0
    3., 700.0

Initial conditions
--------------------

The initial metallurgical state is a proportion of 70% ferrite and 30% bainite.