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

Geometry
---------


.. image:: images/100000000000020E0000013B9534833A179A9D1C.png
    :width: 3.6909in
    :height: 2.1965in


.. _RefImage_100000000000020E0000013B9534833A179A9D1C.png:


+-----------------+--------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Plate ABCD       |In length           |:math:`L=\mathrm{10mm}`                                                                                                                                                             |
+-----------------+--------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                 |Of width            |:math:`B=\mathrm{1mm}`                                                                                                                                                              |
+-----------------+--------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                 |Of thickness        |:math:`H=\mathrm{0.1mm}`                                                                                                                                                            |
+-----------------+--------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|2 beams EF and GH|                    |                                                                                                                                                                                    |
+-----------------+--------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                 |In length           |:math:`I=\mathrm{1mm}`                                                                                                                                                              |
+-----------------+--------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                 |Of circular sections|:math:`R=2.10-3`, :math:`e=2.10-4`                                                                                                                                                  |
+                 +                    +                                                                                                                                                                                    +
|                 |                    |                                                                                                                                                                                    |
+                 +                    + .. image:: images/100000000000006B000000560BB58796644770FC.png                                                                                                                     +
|                 |                    |    :width: 0.9209in                                                                                                                                                                |
+                 +                    +    :height: 0.7354in                                                                                                                                                               +
|                 |                    |                                                                                                                                                                                    |
+                 +                    +                                                                                                                                                                                    +
|                 |                    |                                                                                                                                                                                    |
+                 +                    +                                                                                                                                                                                    +
|                 |                    |                                                                                                                                                                                    |
+-----------------+--------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+



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

Linear elasticity: :math:`E\mathrm{=}2{10}^{5}\mathit{MPa}`, :math:`\nu \mathrm{=}0.3`

Same for the plate and the two beams.


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

Embedding on :math:`\mathit{AB}`: :math:`\mathit{DX}\mathrm{=}\mathit{DY}\mathrm{=}\mathit{DZ}\mathrm{=}\mathit{DRX}\mathrm{=}\mathit{DRY}\mathrm{=}\mathit{DRZ}\mathrm{=}0`

Displacement imposed in :math:`E` and :math:`G`: :math:`\mathit{DZ}\mathrm{=}–0.2\mathit{mm}`

Unilateral contact between :math:`F` and :math:`C` and between :math:`H` and :math:`D`


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

Not applicable.