.. _R7.02.05:

**r7.02.05** Calculation of stress intensity factors in linear thermoelasticity
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**Summary:**

The method for calculating stress intensity factors :math:`{K}_{I}`, :math:`{K}_{\mathrm{II}}` and :math:`{K}_{\mathrm{III}}` in linear thermoelasticity is presented. The formulation considers the energy restoration rate as a symmetric bilinear form of the displacement field :math:`u` and uses the explicit expressions of the known singular displacement fields in plane linear elasticity.


.. _OLE_LINK2:

This method can be used using option CALC_K_G of the CALC_G command, both for a meshed crack (classical finite elements) and for a non-meshed crack (rich finite elements: method X- FEM).

This method can also be used to calculate the stress intensity factors associated with the natural vibration modes of a structure.




.. toctree::
    :hidden:

    self

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

    Expressions_des_facteurs_d_intensit__de_contraintes_en_thermo_lasticit__lin_aire_
    Implantation_de_KI__KII_et_KIII_en_thermo_lasticit__lin_aire_dans_Code_Aster
    Bibliographie
    Description_des_versions_du_document