1. Reference problem

1.1. Geometry

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

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

1.2. Material properties

1.2.1. Elastic properties of the material

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

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

1.3. Boundary conditions and mechanical loads

1.3.1. 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.

1.3.2. 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.

1.4. Initial conditions

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

1.5. 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 \({k}_{y}\) is set to 0.0001, so the critical acceleration is \({a}_{y}\) =0.000981 \(m/{s}^{2}\).