.. _V3.02.321:

**v3.02.321** SSLP321 - Propagation of an X- FEM crack in a 3-point flexure plate
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**Summary**

The purpose of this test is to validate the crack propagation path with :math:`\text{X-FEM}` in :math:`\mathrm{2D}`, in the context of linear elasticity.

This test involves a rectangular plate with an through crack, and subjected to 3-point bending as in the article by Mariani and Perego [:ref:`1 <1>`].

Five methods for managing the propagation of a :math:`\text{X-FEM}` crack are available. Each of them is the subject of modeling.


* modeling :math:`A`: mesh method


* modeling :math:`B`: simplex method


* modeling :math:`C`: upwind method


* modeling :math:`D`: geometric method

Comparisons are made with the values given by the mesh method.


.. toctree::
    :hidden:

    self

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

    Probl_me_de_r_f_rence
    Solution_de_r_f_rence
    Mod_lisation_A
    Mod_lisation_B
    Mod_lisation_C
    Mod_lisation_D
    Synth_ses_des_r_sultats