3. Modeling A

3.1. Characteristics of modeling

Modeling in plane deformations on the following mesh \(\mathrm{2D}\):

3.2. Characteristics of the mesh

Number of knots: 25

Numbers and types of meshes: 16 SEG2, 16 QUAD4 with elements D_ PLAN_SI.

3.3. Tested sizes and results

Value tested	Reference	Type	Variance
Displacement \(\mathrm{DX}\) in \(C\)	-1,25	Analytical	1.7%
Displacement \(\mathrm{DY}\) in \(C\)	4.25	Analytics	0.3%

3.4. notes

The stress is called dominant flexure. Through this calculation, we show the difficulty for the QUAD4 even sub-integrated to represent the modes of deformation in flexure in plane deformation and for a coefficient \(\nu\) close to 0.5. This results in an excessive stiffness of the element due to the shear terms of the discretized gradient operator: this is a numerical block.