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


.. image:: images/10000000000003C0000002D027E30D4A6A3CCF75.png
    :width: 2.5193in
    :height: 2.4366in


.. _RefImage_10000000000003C0000002D027E30D4A6A3CCF75.png:


Geometry
----------



The square is in space :math:`[0.\mathrm{,1}\mathrm{.}]\times [0.\mathrm{,1}\mathrm{.}]`.

Coordinates of points :math:`(m)`:

:math:`A:(0.,0.)` :math:`E:(0.5,0.)`

:math:`B:(1.,0.)` :math:`F:(0.5,0.5)`

:math:`C:(1.,1.)` :math:`G:(0.,0.5)`

:math:`D:(0.,1.)` :math:`H:(0.25,0.25)`

Mesh groups:


* Surface :math:`\mathrm{ABCD}`


* Surface :math:`\mathrm{AEFG}`


* Segments :math:`\mathrm{AB}` and :math:`\mathrm{CD}`


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

:math:`E=1.0\mathrm{E5}N/{m}^{2}`

:math:`\nu =0.3`


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

First model :math:`\mathrm{ABCD}`:


* Compulsory trips:

:math:`\mathrm{AB}`: :math:`\mathrm{DX}=\mathrm{DY}=0`


* Imposed loads:

:math:`\mathrm{CD}`: :math:`\mathrm{FX}=1.\mathrm{E4}N` and :math:`\mathrm{FY}=2.\mathrm{E4}N`


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Second model :math:`\mathrm{AEFG}` (Zoom)


* Compulsory trips:

Displacements obtained with the first model, imposed on edge :math:`\mathrm{AEFG}` of the second model.


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