.. _R3.06.03:

**r3.06.03** Calculation of node stresses by local smoothing
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**Summary:**

A local method for calculating node stresses from the constraints at the points in GAUSS is presented. It is used in options SIGM_ELNO and SIEF_ELNO.

This method boils down to calculating the constraints at the vertices of an element by multiplying the constraints at the points of GAUSS by a smoothing matrix, which is constant for each type of element.

For isoparametric elements of degree 2, the stresses at the middle nodes are obtained by averaging the values of the stresses at the 2 vertices of the edge.

This straightening method has two advantages:


* the nodal stresses obtained have an order of precision higher than by the direct calculation at the nodes,


* the method is inexpensive in time CPU.

This method has been generalized:


* to the calculations of deformations (option EPSI_ELNO) and internal variables (option VARI_ELNO) at mechanical nodes,


* to the calculation of flows (option FLUX_ELNO) at the thermal nodes.




.. toctree::
    :hidden:

    self

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

    Pr_liminaires
    M_thode_locale_de_minimisation_par_moindres_carr_s
    M_thodes_de_lissage_local__r_f__bib2__et__bib3__
    Application_de_la_m_thode_au_calcul_des_contraintes_aux_n_uds_pour_diff_rents__l_ments
    Autres_options_de_calcul_utilisant_la_m_me_m_thode
    Autres_m_thodes_de_lissage_de_contraintes
    Bibliographie
    Description_des_versions_du_document