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


.. image:: images/10000000000003AA00000282E2CA8E6B6DE6C0CE.png
    :width: 6.889in
    :height: 4.8272in


.. _RefImage_10000000000003AA00000282E2CA8E6B6DE6C0CE.png:


Geometry
---------

Coordinates:

The geometry is shown above.

The coordinate system is centered at :math:`A` with coordinates :math:`(\mathrm{0,0})`.

:math:`L=50m`

Mesh group:


* surfaces :math:`\mathrm{ABCD}`, :math:`\mathrm{EFGH}`


* segments :math:`\mathrm{AB}`, :math:`\mathrm{HE}`


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

:math:`\mathrm{EFGH}`: :math:`{E}_{1}=\mathrm{2,0}\mathrm{.}{10}^{16}\text{Pa}`

:math:`\mathrm{ABCD}`: :math:`{E}_{2}=\mathrm{2,0}\mathrm{.}{10}^{9}\text{Pa}`

:math:`\mathrm{ABCD}`/:math:`\mathrm{EFGH}`: :math:`\nu =\mathrm{0,3}`

Springs: stiffness :math:`k` in :math:`x` and :math:`y`, :math:`k=10\text{N.m}{}^{-1}`


Boundary conditions and loading
------------------------------------

:math:`\mathrm{EFGH}`:


* side :math:`\mathrm{FG}` recessed (:math:`\mathrm{DX}=\mathrm{DY}=0`)


* side :math:`\mathrm{HE}` contact condition

:math:`\mathrm{ABCD}`:


* forced displacement on side :math:`\mathrm{CD}` (:math:`\mathrm{DY}=-\mathrm{1,0}`)


* side :math:`\mathrm{AB}` contact condition

Springs:


* embedding of points :math:`\mathrm{R1}` and :math:`\mathrm{R2}`