.. _V2.04.130:

**v2.04.130** SDLV130 - Cracked 3D plate subjected to a loading in Mode I. Validating the modal calculation with X- FEM
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**Summary:**

This test case validates the modal calculation for a plate :math:`\mathrm{3D}` having a crack introduced by the X- FEM method. In particular, we validate the newly developed options RIGI_MECA, MASS_MECA and RIGI_GEOM for an X- FEM model. The plate has a horizontal and flat through crack, boundary conditions are applied at 3 points to prevent rigid body modes, and pressure loading is applied to the lower and upper faces in order to open the crack in :math:`I` mode.

The reference solution, which is the subject of modeling A, is calculated by*Code_Aster* using the similar model with the meshed crack in a conventional manner. The first 8 natural modes are calculated and their natural frequencies are compared.

The operation of post-processing commands for visualizing a mode_meca result calculated with an X- FEM model is also tested.


.. toctree::
    :hidden:

    self

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

    Probl_me_de_r_f_rence
    Solution_de_r_f_rence
    Mod_lisation_A
    Mod_lisation_B
    Synth_se_des_r_sultats