.. _V3.04.110:

.. image:: images/Cadre1.gif


.. _RefSchema_Cadre1.gif:

Figure 1.1-1: geometry and elliptical crack background


**v3.04.110** SSLV110 - Elliptical crack in an infinite medium
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**Summary:**

It is a static test for a three-dimensional problem. This test makes it possible to calculate the local energy release rate on the crack bottom by the theta method (command CALC_G in FEM and CALC_G_XFEM in X-FEM).

The radius of the integration rings is variable along the crack, and the local energy restoration rate is calculated using two different methods (LEGENDRE and LINEAIRE/LAGRANGE). Integration crowns are defined in two ways: by the data of a variable radius (R_ INF_FO and R_ SUP_FO) and the data of the number of layers (NB_COUCHE_INF and NB_COUCHE_SUP).

The interest of the test is the validation of the theta method in :math:`\mathrm{3D}` and the following points:


* comparison of the results with an analytical solution,


* stability of the results with respect to integration rings,


* comparison between two different methods for calculating local :math:`G`,


* 2 cases of equivalent loads (distributed pressure and volume loading).


* Calculate :math:`\mathrm{K1}` from :math:`G` and Irwin's formula

This test contains 3 different models (A, F, G).

The F modeling tests the calculation of :math:`\mathrm{K1}` for a non-meshed crack (method X- FEM). It also allows you to compare the errors made when calculating :math:`\mathit{K1}` with the POST_K1_K2_K3 operator or the CALC_G_XFEM operator.

The G modeling validates the calculation of the intensity factor of equivalent stresses in the presence of cohesive zones (see documentation [:ref:`R7.02.18 <R7.02.18>`]), by the CALC_G_XFEM operator.


.. toctree::
    :hidden:

    self

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

    Probl_me_de_r_f_rence
    Solution_de_r_f_rence
    Mod_lisation_A
    Mod_lisation_F
    Mod_lisation_G
    Synth_se_des_r_sultats