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

Geometry
---------


.. image:: images/Object_1.svg
    :width: 446
    :height: 128


.. _RefImage_Object_1.svg:


.. image:: images/Object_2.svg
    :width: 446
    :height: 128


.. _RefImage_Object_2.svg:


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

.. csv-table::

    ":math:`\mathrm{\lambda }=200+T(W/m°C)` ", "In-plane thermal conductivity"
    ":math:`\mathrm{\lambda }=500-2T(W/m°C)` ", "Off-plane conductivity"
    ":math:`\rho C=8\mathrm{.}{10}^{6}(J/{m}^{3}°C)` ", "Volume heat"



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

+-----------+++----------------------------------+
|:math:`x=0`  |:math:`T=200°C` :math:`0<t\le 10s`|
+-----------+++----------------------------------+
|           |||:math:`T=100°C` :math:`t>10s`     |
+-----------+++----------------------------------+
|           |||                                  |
+-----------+++----------------------------------+
|:math:`x=L`  |:math:`T=100°C` :math:`t\ge 0s`   |
+-----------+++----------------------------------+


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

:math:`T(x\mathrm{,0})=100°C` for everything :math:`x`