.. _V3.02.313:

**v3.02.313** SSLP313 - Inclined crack in an unlimited plate, subject to infinitely uniform traction
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**Summary:**

This test is the result of the independent validation of version 3 of Code_Aster in fracture mechanics.

We calculate :math:`{K}_{I}`, :math:`{K}_{\mathrm{II}}` and the energy release rate for a right crack, inclined at an angle :math:`b`, in a large plate subjected to uniform traction. The model is two-dimensional in plane constraints. The material is isotropic linear elastic. This reference test in :math:`\mathrm{2D}` allows you to check the separability of :math:`{K}_{I}` and :math:`{K}_{\mathrm{II}}` in a mixed mode.

The reference solution, given for a theoretically unlimited domain, is analytical.

In addition to the energy method (CALC_G), we test the method for calculating stress intensity factors by extrapolation of displacements (POST_K1_K2_K3). Modeling :math:`B` makes it possible to test this last method with a recommended type of mesh (quarter middle nodes) to obtain a precise solution.


.. 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