.. _R3.06.10:

**r3.06.10** Quadrangular element at one integration point, stabilized by the "Assumed Strain" method
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**Summary:**

Despite all the potential of the linear isoparametric quadrilateral element for finite element calculation, the application of a classical bilinear formulation to define its field of displacement resulted in poor results. Although the sub-integration of the element makes it possible to improve its performance, it nevertheless reveals parasitic modes that make the calculations unstable. This document summarizes the main steps of a method for stabilizing calculations called "assumed strainmethod" and explains how it was implemented in the*Code_Aster* calculation code. Numerous results based on the stabilized element are compared and commented on in order to conclude on the performances of the method.


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

    Mise_en_d_faut_de_l__l_ment_2D_QUAD4__
    Sous_int_gration_du_QUAD4
    Stabilisation_du_QUAD4___un_point_de_Gauss
    Int_gration_de_l__l_ment_dans_Code_Aster
    Mise_en__vidence_de_l_apport_de_l__l_ment_QUAS4
    Conclusions
    Bibliographie
    Description_des_versions_du_document