.. _V6.03.110:

**v6.03.110** SSNP110 - Edge crack in a rectangular plate finished in elastoplasticity
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**Summary:**

This test is a test case in nonlinear fracture mechanics.

We consider a rectangular plate that is finished, cracked and subjected to a loading of tension. The law of behavior used is an elastoplastic law of Von Mises.

This test case includes five models in :math:`\mathrm{2D}`:


* modeling A, in plane stresses, under the hypothesis of small deformations (DEFORMATION = 'PETIT' in the STAT_NON_LINE operator);


* the B modeling, removed in V15, made it possible, under plane constraints, to study the influence of taking into account the second-order terms of the deformations (DEFORMATION = 'GREEN' in the operator STAT_NON_LINE) on the calculation of the energy restoration rate :math:`G`;


* the C and D models, in plane stresses, aim to test the X- FEM method (non-meshed crack) in non-linear elasticity and in elastoplasticity for the calculation of the field of displacement;


* the E modeling, in plane deformations, validates the calculation of :math:`G` for the various methods of defining the work hardening curve;


* F modeling is identical to C with quadratic elements.


.. toctree::
    :hidden:

    self

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

    Probl_me_de_r_f_rence
    Solution_de_r_f_rence
    Mod_lisation_A
    Mod_lisation_C
    Mod_lisation_D
    Mod_lisation_E
    Mod_lisation_F
    Synth_se_des_r_sultats