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


Geometry
----------

We consider a plate of dimension 1.


.. image:: images/100002000000018E00000182449AE8230842E889.png
    :width: 2.8055in
    :height: 2.478in


.. _RefImage_100002000000018E00000182449AE8230842E889.png:

Figure 1.1-1: Test case diagram


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

We consider that the problem remains flat so :math:`\mathit{DZ}\mathrm{=}\mathit{DRX}\mathrm{=}\mathit{DRY}\mathrm{=}\mathit{DRZ}\mathrm{=}0`.

A symmetry condition is applied on sides :math:`\mathit{N1N2}` and :math:`\mathit{N1N3}`.

A uniform displacement along :math:`y` equal to :math:`\mathrm{-}\mathrm{0,002}` is applied to :math:`\mathit{N2N3}`.

A uniform displacement along :math:`x` equal to :math:`\mathrm{0,0002}` is applied to :math:`\mathit{N3N4}`.


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

:math:`E\mathrm{=}\mathrm{2,1}\mathrm{\cdot }{10}^{6}\mathit{MPa}`

:math:`\nu \mathrm{=}\mathrm{0,2}`

:math:`{E}_{T}\mathrm{=}\mathrm{-}{10}^{4}\mathit{MPa}`

:math:`{\sigma }_{y}^{t}\mathrm{=}3\mathit{MPa}`

:math:`{\sigma }_{y}^{c}\mathrm{=}30\mathit{MPa}`

:math:`{\varepsilon }_{c}\mathrm{=}{10}^{\mathrm{-}3}`

:math:`n\mathrm{=}2`