5. C modeling

5.1. Characteristics of modeling

Meshing with ``D_ PLAN_INCO_UPG « and » DEFORMATION =” SIMO_MIEHE “``elements incompressible types TRIA6 and QUAD8.

The boundary conditions are:

• Zero DX displacement on side “GRNM11” (side \(\mathit{AB}\))

• Normal movement stuck on the “GRMA12” face (side \(\mathit{EF}\))

• Normal displacement imposed on the “GRMA13” side (side \(\mathit{AE}\))

5.2. Characteristics of the mesh

Number of knots: 591

Number of meshes: 200 TRIA6, 50 QUAD8.

5.3. Tested sizes and results

Displacements and constraints SIGM_NOEU are evaluated at points \(A\) and \(F\). The components of field SIEQ_NOEU are tested at point \(A\) only.

Identification		Reference type	Reference	Tolerance
\(A\)	\(\mathit{u}\) (X)	ANALYTIQUE		10-5
	\(\mathit{v}\) (DY)	ANALYTIQUE	10-5	10-3
	\(\mathit{\sigma_{xx}}\)	ANALYTIQUE	99.9566	10-3
	\(\mathit{\sigma_{yy}}\)	ANALYTIQUE	-59.9955	0.03
	\(\mathit{\sigma_{zz}}\)	ANALYTIQUE	19.9326	0.03
	\(\mathit{\sigma_{xy}}\)	ANALYTIQUE		0.03
	VMIS	ANALYTIQUE	138.5226	0.02
	TRESCA	ANALYTIQUE	159.9521	0.02
	PRIN_1	ANALYTIQUE	-59.9955	0.03
	PRIN_2	ANALYTIQUE	19.9326	0.03
	PRIN_3	ANALYTIQUE	99.9566	0.02
	VMIS_SG	ANALYTIQUE	138.5226	0.02

Identification		Reference type	Reference	Tolerance
\(F\)	\(\mathit{u}\) (X)	ANALYTIQUE	-2.1217 10-5	10-3
	\(\mathit{v}\) (DY)	ANALYTIQUE	2.1217 10-5	10-3
	\(\mathit{\sigma_{xx}}\)	ANALYTIQUE	20.003	10-3
	\(\mathit{\sigma_{yy}}\)	ANALYTIQUE	20.003	10-3
	\(\mathit{\sigma_{zz}}\)	ANALYTIQUE	20.003	10-3
	\(\mathit{\sigma_{xy}}\)	ANALYTIQUE	20.003	10-3

For Green-Lagrange deformations:

Identification		Reference type	Reference	Tolerance
\(A\)	\({E}_{\mathit{xx}}\)	ANALYTIQUE	0.000601357472911	4%
	\({E}_{\mathit{yy}}\)	ANALYTIQUE	-0.000604235469839	0.7%

5.4. notes

As for 3D modeling, the results obtained are completely satisfactory.