2. Benchmark solution#

The result of the macro-command POST_NEWMARKà is compared with the estimate made by the GeoSlope software for this same configuration. This solution is available in the test case database of this software [1].

In static terms, the safety factor provided by GeoSlope is 1.188.

In dynamics, the following figure shows the evolution of the safety factor obtained by an Enhanced Limit Equilibrium (ELE) [2] method with seismic loading:

_images/10000201000002FB00000276DD3EA0B65E585A1C.png

Figure 2- Temporal evolution of the dynamic safety factor [1].

In particular, we observe:

  • A limited choice of the number of points for calculation/visualization of the safety factor, in relation to seismic excitation,

  • A very high peak in the safety factor after 2 s,

  • A fluctuation in the safety factor between 6 and 8 s, with no direct link to variations in the acceleration signal.

Moreover, the reference calculation does not seem to use advanced modeling techniques for modeling paraxial boundary conditions with the addition of the reflected wave. It is therefore expected that the reference calculation will overestimate the variations in acceleration and stresses in the embankment compared to the reference modeling for this type of problem with code_aster.