.. _R3.07.03:

**r3.07.03** Plate elements: models DKT, DST,, DKTG and Q4G
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**Summary:**

These finite element plate models are intended for calculations in small deformations and small displacements of thin curved or plane structures. They are plane finite elements that do not take into account the geometric curvature of thin structures, unlike shell elements that are curved: this results in parasitic flexures that can be reduced by using more elements so as to be able to correctly approach curved geometries. The formulation is therefore simplified and the number of degrees of freedom is reduced. These finite elements are considered to be among the most accurate for calculating displacements and for modal analysis.

For each of these different models, several finite elements are available, according to the meshes:

• modeling DKT, according to the Love-Kirchhoff flexure model, includes triangular (DKT) and quadrangular (DKQ) finite elements, which use sub-point fields, in order, for example, to integrate the behavioral relationship in the layers constituting the thickness;

• modeling DST, with transverse shear energy in elasticity, includes triangular (DST) and quadrangular (DSQ) finite elements;

• modeling DKTG, according to the Love-Kirchhoff flexure model, includes triangular (DKTG) and quadrangular (DKQG) finite elements, dedicated to "global" behavioral relationships, which have only one layer and one single point of integration in the thickness;

• Q4G modeling (also called :math:`\text{Q4}\gamma`) with transverse shear energy in elasticity, but with other interpolation than for DST modeling, only includes the quadrangular finite element (Q4G).

**Note:**

In document [:external:ref:`R3.07.09 <R3.07.09>`], Q4GG modeling, dedicated to thick plates, is presented. This modeling includes the quadrangular finite elements (Q4G) whose theoretical description is given in this document and the triangular elements (T3G).




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

    Introduction
    Formulation
    Principe_des_travaux_virtuels
    Discr_tisation_num_rique_de_la_formulation_variationnelle_issue_du_principe_du_travail_virtuel
    Implantation_des__l_ments_de_plaque_dans_Code_Aster
    Conclusion
    Description_des_versions_du_document