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


Geometry
---------

An embankment dam and a possible theoretical sliding circle are considered, the main characteristics of which are described below:


.. figure:: images/10000000000004CA00000222FCD9696336903BAA.png
    :width: 6.3374in
    :height: 2.822in
 :name: barrage_zzzz402
    
    Configuration of the embankment structure and positioning of the sliding circle.

The group of elements on which the result of the efforts is calculated is shown in blue.


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


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

The mechanical characteristics of the materials in the model that were used are summarized in the table below:


.. csv-table::

    "", ":math:`\mathrm{vs}(m/s)` "," :math:`E(\mathit{Pa})` "," :math:`\rho (\mathrm{kg}/{m}^{\mathrm{²}})` "," "," :math:`\nu` "," :math:`\xi (\text{%})`"
    "BARRAGE ", "305", "5.10e8", "5.10e8", "1800", "0.49", "2.0"
    "ROCHER ", "2700", "500.10e8", "500.10e8", "2300", "0.48", "2.0"



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


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

The boundary conditions applied to the model are as follows:


* *Base and right and left edges of the foundation*: Assignment of absorbent border elements.


Loading
~~~~~~~~~~

Type ONDE_PLANE type S load following a vertical propagation applied to the base of the foundation.

The acceleration signal used to calculate the load is presented below.


.. figure:: images/100002010000032000000258B510036861B4E56F.png
    :width: 3.5799in
    :height: 2.6846in
 :name: signal_acce_zzzz402

    Accelerated signal applied to the base of the structure


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

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


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

The center of the sliding circle is positioned at the coordinate (80,220), with a radius of 50m. The value of :math:`{k}_{y}` is set to 0.0001, so the critical acceleration is :math:`{a}_{y}` =0.000981 :math:`m/{s}^{2}`.