.. _R7.02.10:

**r7.02.10** Simplified defect toxicity analysis using the K-beta method
============================================================================

**Summary:**

The analysis method presented (K-beta method) is applied to the analysis of the harmfulness of a defect located under the lining of pressurized water reactor tanks, implemented by the command POST_K_BETA.

The K-beta reference method is codified in RSE -M and aims to evaluate, from a study carried out in the context of linear elasticity and in which the defect is not explicitly meshed, the elasto-plastic stress intensity factor (also qualified as "plastically corrected" in the context of this methodology) at the level of each of the different points of the defect, i.e. at the level of the defect point located on the side of the coating (called point A) and at the level of the tip of the defect located in the base metal (called point B).

To do this, the elastic stress intensity factor at the two points of the defect is first calculated, using the stresses at the nodes resulting from the mechanical resolution and the residual stresses given by the user. Then, in a second step, the plastically corrected stress intensity factor is calculated from its elastic equivalent via the so-called "beta correction" method. At each moment of the analysis and at the level of each of the points of the defect, the obtained ratio of the critical toughness to the plastically corrected stress intensity factor determines the instantaneous margin factor and then makes it possible to deduce the minimum margin factor with respect to failure.

The theoretical aspects of the K-beta method and its computational implementation are the subject of the following paragraphs.

This method corresponds to the Rupt1D approach in the nomenclature of the EDF Epicure project.

     Table of contents




.. toctree::
    :hidden:

    self

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

    Description_g_n_rale_de_la_m_thode
    Etape_n_1___calcul_du_facteur_d_intensit__des_contraintes__lastique_du_d_faut_elliptique
    Etape_n_1___calcul_du_facteur_d_intensit__des_contraintes__lastique_du_d_faut_semi-elliptique
    Etape_n_2___calcul_du_facteur_d_intensit__des_contraintes__lasto-plastique_par_la_m_thode_de_la___correction_b__
    Validation
    R_f_rences_bibliographiques
    Description_des_versions_du_document