.. _V3.04.134:

**v3.04.134** SSLV134 - Circular crack in an infinite environment
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**Summary**

This test allows, after obtaining the displacement field by MECA_STATIQUE, the calculation of the local energy restoration rate for a circular crack immersed in a medium that is supposed to be infinite.

For the first modeling, only a half-space defined by the plane of the crack is represented. The crack bottom is then a closed curve (a circle) and is defined as such in DEFI_FOND_FISS. The local return rate is compared to the reference analytical solution.

The following seven models make it possible to calculate the stress intensity factors :math:`\mathrm{K1}` and :math:`\mathrm{K3}`, in :math:`\mathrm{3D}` and axisymmetric, calculated by POST_K1_K2_K3 and/or CALC_G (models FEM)/CALC_G_XEM (models X- FEM).


* Modeling A tests :math:`G` for a :math:`\mathrm{3D}` mesh with the crack closed,


* B modeling tests :math:`\mathit{K1}` for a :math:`\mathrm{3D}` mesh,


* C modeling tests :math:`\mathit{K1}` for an axi-symmetric mesh,


* D modeling tests the combination of :math:`\mathrm{K1}` and :math:`\mathrm{K3}` for a :math:`\mathrm{3D}` mesh.


* H modeling tests :math:`\mathrm{K1}` for a non-meshed crack (method :math:`\text{X-FEM}`)


* Modeling I tests :math:`\mathrm{K1}` for a non-meshed axi-symmetric crack (method :math:`\text{X-FEM}`)


* The J modeling tests :math:`G` for a :math:`\mathrm{3D}` mesh with the crack closed for incompressible elements,


* K-modeling tests :math:`\mathrm{K1}` for an axi-symmetric mesh for incompressible elements,


* The L modeling tests :math:`G` for a :math:`\mathrm{3D}` mesh with the crack closed (method :math:`\text{X-FEM}`).


* M modeling tests :math:`G` for a :math:`\mathrm{3D}` mesh with the crack closed in large transformations.


.. 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
    Mod_lisation_H
    Mod_lisation_I
    Mod_lisation_J
    Mod_lisation_K
    Mod_lisation_L
    Mod_lisation_M
    Synth_ses_des_r_sultats