.. _V7.02.100:

**v7.02.100** HPLP100 - Calculation of the energy return rate of a cracked plate in thermoelasticity
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**Summary**

It is a thermo-elasticity test for a two-dimensional problem. We consider a rectangular plate that is cracked and the hypothesis of plane deformations is assumed.

In **modeling A**, the energy return rate is calculated during post-treatment by two different methods:


* classical calculation using the theta method,


* calculation by the IRWIN formula using the stress intensity coefficient :math:`\mathit{KI}`.

These two calculations are carried out on 4 different integration rings. Their interest is to compare the values of :math:`G`, :math:`G(\mathrm{IRWIN})` and :math:`\mathit{KI}` with respect to the reference solution and to test the invariance of the calculations with respect to the various integration crowns.

In **the B** modeling, the energy return rate is calculated by post-processing a classical calculation by the theta method. This calculation is carried out for several crowns of different integrations, in a formalism of 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
    Synth_ses_des_r_sultats