Benchmark solution
=====================


Calculation method used for the reference solution
--------------------------------------------------------

The temperature field is given by:

:math:`T=-\mathrm{4X}-\mathrm{3Y}+40`

The travel field is given by:


.. image:: images/Object_8.svg
    :width: 268
    :height: 45


.. _RefImage_Object_8.svg:


.. image:: images/Object_9.svg
    :width: 268
    :height: 45


.. _RefImage_Object_9.svg:

where :math:`B=0.003` :math:`C=0.004` :math:`D=0.76`

.. image:: images/Object_10.svg
    :width: 268
    :height: 45


.. _RefImage_Object_10.svg:

The deformation field is given by:


.. image:: images/Object_11.svg
    :width: 268
    :height: 45


.. _RefImage_Object_11.svg:

 :math:`{\varepsilon }_{\mathrm{xy}}=0`

The constraint field is given by:


.. image:: images/Object_13.svg
    :width: 268
    :height: 45


.. _RefImage_Object_13.svg:


Benchmark results
----------------------

Temperature at points :math:`O,A,B,C,D,\mathit{B1},\mathit{C1}`

Travel to points :math:`A,B,C,D,\mathit{B1},\mathit{C1}`


Uncertainty about the solution
---------------------------

Analytical solution.