.. _V1.01.146:

**v1.01.146** ZZZZ146 - Computer validation of LEM methods in the macro command CALC_STAB_PENTE
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**Summary:**

The objective of this test is to validate the computer functionalities for the stability analysis of
slopes by methods based on the equilibrium limit theory (LEM) of macro-control
CALC_STAB_PENTE.

In this test case, the stability of a homogeneous slope is analyzed by considering
the infiltration of water into the ground.

**This test case does not make physical sense or solution
scientific reference. **


* **Modeling A**: Calculation of the safety factor according to the Drucker-Prager criterion
    by the Bishop method. This modeling validates the following functionalities:

    * Calculation of the safety factor using the simplified Bishop method.
    * Recovery of shear strength properties from the Drucker-Prager law of behavior.
    * Adaptation of the mesh with circular fracture surfaces.
    * Taking into account the infiltration of water into the structure.
    * Optimization algorithm for circular surfaces with limited radius limits.

* **Modeling B**: Calculation of the safety factor according to the Mohr-Coulomb criterion by the method
    Morgenstern-Price. This modeling validates the following functionalities:


    * Safety factor calculation using the Morgenstern-Price method.
    * Recovery of shear strength properties from the Mohr-Coulomb law of behavior.
    * Adaptation of the mesh with non-circular fracture surfaces.
    * Taking into account the infiltration of water into the structure.
    * Optimization algorithm EFWA.
    * Resumed calculation EFWA by defining the initial state.

* **C Modeling**: Calculation of the safety factor according to the Druck-Prager criterion by
    the Fellenius method.

    . note:

        This modeling is identical with modeling A except for the FS calculation method.

* **D Modeling**: Calculation of the safety factor according to the Mohr-Coulomb criterion
    by the Spencer method.

    . note:

        This modeling is identical to modeling B except for the FS calculation method.


.. toctree::
    :hidden:

    self

.. toctree::
    :maxdepth: 2
    :numbered:

    Pr_sentation_du_cas_test
    Mod_lisation_A
    Mod_lisation_B
    Mod_lisation_C
    Mod_lisation_D