.. _V6.03.103:

**v6.03.103** SSNP103 - Calculation of the energy return rate in nonlinear elasticity
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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 a nonlinear elastic law of the Henky von Mises type.

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


* Modeling A, in plane deformations, treats a stressed crack in pure mode 1. Only half of the plate is modelled symmetrically.


* Modeling B, in plane deformations, treats a crack stressed in mixed modes. The complete plate is modelled.


* The C modeling uses the geometry of the A modeling but solves the associated axisymmetric problem. So here it is not a cracked plate but a cracked cylinder.


* Modeling D, reproduces the calculation of modeling B by adding a thermal loading.


* Modeling E, reproduces the calculation of modeling B with HHO linear.


* Modeling F, reproduces the calculation of modeling B with HHO quadratic.


.. 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_E
    Mod_lisation_F
    Synth_se_des_r_sultats