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


Geometry
---------

We consider a homogeneous embankment with a height of 15 m and a slope of 1:2 (26.6°). A sliding circle joining the top and bottom of the embankment is considered, whose center is positioned at (6.08, 49.6).


.. image:: images/10000000000004DC00000218A84FB0F3C65DC066.png
    :width: 6.3374in
    :height: 2.7307in


.. _RefImage_10000000000004DC00000218A84FB0F3C65DC066.png:

(-30.15)

(0.0)

Figure 1- Configuration of the embankment and positioning of the sliding circle.


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


Elastic properties of the material
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The mechanical characteristics of the backfill material are summarized in the table below:


.. csv-table::

    "", ":math:`E(\mathit{MPa})` "," :math:`\rho (\mathrm{kg}/{m}^{\mathrm{²}})` "," :math:`\nu`"
    "SLOPE ", "90", "1936", "0.3"



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


Boundary condition
~~~~~~~~~~~~~~~~~~~~~~~

The boundary conditions applied to the model are as follows:


* *Low* *e*: zero displacement in the vertical direction (DY)


* *Right and left edges*: zero displacement in the horizontal direction (DX)


Loading
~~~~~~~~~~

Loading type PESANTEURappliqué to the model.


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

The displacement is zero within the set of the model at the initial instant.


Position of the sliding circle
--------------------------------

A sliding circle mesh is provided, whose center is positioned at :math:`(\mathrm{6.08,}49.6)`, with a radius of :math:`50m`.