.. _V3.04.155:

**v3.04.155** SSLV155 — Lens crack under traction
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**Summary:**

The purpose of this test is to validate the calculation of stress intensity factors (SIFs) along the bottom of a non-planar 3D crack, in the context of linear elasticity.

This test involves a cube with a crack in the form of a lens, subjected to hydrostatic tension.

This test contains 3 models:


* Modeling A: the crack is meshed in 2D-axI (FEM);


* B modeling: the crack is not meshed, it is represented by level sets (X- FEM) in 2D-axI;


* C modeling: the crack is not meshed, it is represented by level sets (X- FEM) in 3D;


* D modeling: the crack is not meshed, it is represented by level sets (X- FEM) in 2D-axI and a structured mesh is used;


* E-modeling: the crack is not meshed, it is represented by 2D-axI level sets (X- FEM) with quadratic elements;


* F modeling: the crack is not meshed, it is represented by 2D-axI level sets (X- FEM) with quadratic elements and a structured mesh is used;

There is no FEM modeling in 3D because creating the mesh is extremely difficult.

For each model, the SIFs are evaluated by the commands POST_K1_K2_K3 and CALC_G (FEM)/CALC_G_XFEM (X- FEM).

Numerical values are compared to analytical values.

.. toctree::
    :hidden:

    self

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

    Probl_me_de_r_f_rence
    Solution_de_r_f_rence
    Mod_lisation_A___Mod_lisation_FEM_2D-axi
    Mod_lisation_B___Mod_lisation_X-FEM_2D-axi
    Mod_lisation_C___Mod_lisation_X-FEM_3D
    Mod_lisation_D___Mod_lisation_X-FEM_2D-axi_avec_maillage_structur_
    Mod_lisation_E___Mod_lisation_X-FEM_2D-axi_avec__l_ments_quadratiques
    Mod_lisation_F___Mod_lisation_X-FEM_2D-axi_avec__l_ments_quadratiques_et_maillage_structur_
    Synth_se_des_r_sultats