.. _V7.01.311:

**v7.01.311** HPLA311 - Murakami 11.39. Circular crack in the center of a sphere subjected to a uniform temperature on the lips
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**Summary:**

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

It is a basic static test in axisymmetry under stationary thermal loading calculated by finite elements on the same mesh of a limited domain.

The behavior is isotropic linear thermoelastic.

It includes two axisymmetric models for which the a/b ratio is varied, a being the radius of the circular internal crack in the horizontal plane xoy and b radius of the sphere. The stress intensity factors K and the energy recovery rate are calculated by the theta method (operator CALC_G).


.. toctree::
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    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