3. Modeling A

3.1. Characteristics of modeling

We use a COQUE_AXIS model. The COQUE_AXIS models can be used both for thick plates (HENCKY - MINDLIN - REISSNER) and for thin plates (KIRCHOFF - LOVE) thanks to a penalization approach that makes it possible to neutralize or not the shear energy: this is the theory of HENCKY - MINDLIN - NAGHDI. In order to approach the LOVE - KIRCHHOFF solution numerically, it is necessary to take a sufficiently large shear coefficient (A_ CIS) to inhibit the transverse shear kinematics \({\mathrm{\gamma }}_{s}\). The larger this coefficient, the more the stiffness matrix is almost singular, the more the stiffness matrix is almost singular and therefore a source of numerical instabilities.

3.2. Characteristics of the mesh

The mesh contains 100 elements of type SEG3.

3.3. Tested sizes and results

We test the movement in the top left corner of the plate.

Identification	Reference type	Reference value	Precision
Point \(A\) - \(\mathrm{DX}\)	“ANALYTIQUE”	63.9488	0.1%
Point \(B\) - \(\mathrm{DX}\)	“ANALYTIQUE”	32.000	0.1%
Point \(C\) - \(\mathrm{DX}\)	“ANALYTIQUE”	0.05120	0.05	0.05
Point \(A\) - \(\mathit{DRZ}\)	“ANALYTIQUE”	0.06583	0.05
Point \(B\) - \(\mathit{DRZ}\)	“ANALYTIQUE”	41.133	0.1%
Point \(B\) - \(\mathit{NYY}\)	“ANALYTIQUE”	2.0000	0.05
Point \(B1\) - \(\mathit{NYY}\)	“ANALYTIQUE”	3.84429	0.1%
Point \(B1\) - \(\mathit{MXX}\)	“ANALYTIQUE”	-4.01497 10—2	0.1%