.. _V3.03.311:

**v3.03.311** SSLA311 — Circular crack subjected to an annular load
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**Summary:**

This test case treats the case of an internal crack located in the center of a circular bar, in axisymmetric mode. The particularity of the load is that the linear load is applied to a ring very close to the crack bottom. The fixed parameter is the radius of the crack :math:`a`, and the parameter to be explored is the radius of application of the load :math:`c`. The medium is elastic, linear, homogeneous and isotropic. The geometric domain is assumed to be unlimited in :math:`r` and :math:`z`.

The meshes must therefore take into account the proximity of the load in such a way as to respect the bridge of application of the load.

Since the load is normal to the crack, we calculate the characteristic coefficient of fracture mechanics :math:`K` in pure :math:`I` mode. Then, we use Irwin's formula in plane deformation to derive/to establish :math:`G`.

This is, of course, an approximation.


.. 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_se_des_r_sultats

    Remarques