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


Geometry
---------

:math:`F(t)`



 :math:`A`





The coordinates of the points are given in meters (:math:`m`):


.. csv-table::

    "Length", "1"
    "Height", "0.1"



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

The material has an isotropic elastic behavior:


.. csv-table::

    "Young's module", "200 GPa"
    "Poisson's ratio", "0.0"
    "Density", "7800kg/m3"
    "Coefficient of friction", "0.2"



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



Initially, the two beams are at rest and not deformed. The dynamic evolution of the two structures is such that: in :math:`X=0`, the two beams are embedded and in :math:`X=L`, the lower beam is free while the upper beam is subject to a "*Heaviside" impulse (* Concentrated force constant over time).


Interface description
--------------------------

The two surfaces are initially in contact. In addition, the choice was made to make these two contact surfaces compatible initially.