1. Reference problem#

1.1. 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).

_images/10000000000004DC00000218A84FB0F3C65DC066.png

(-30.15)

(0.0)

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

1.2. Material properties#

1.2.1. Elastic properties of the material#

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

\(E(\mathit{MPa})\)

\(\rho (\mathrm{kg}/{m}^{\mathrm{²}})\)

\(\nu\)

SLOPE

90

1936

0.3

1.3. Boundary conditions and mechanical loads#

1.3.1. 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)

1.3.2. Loading#

Loading type PESANTEURappliqué to the model.

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#

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