15. M modeling

15.1. Characteristics of modeling

Meshing with ``D_ PLAN_INCO_UP « and » DEFORMATION =” GDEF_LOG “``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 \(\mathit{AE}\))

15.2. Characteristics of the mesh

Number of knots: 591

Number of meshes: 200 TRIA6, 50 QUAD8.

15.3. 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		1.10-5
	\(\mathit{v}\) (DY)	ANALYTIQUE	6.10-5	1.10-4
	\(\mathit{\sigma_{xx}}\)	ANALYTIQUE	99.9566	5.10-3
	\(\mathit{\sigma_{yy}}\)	ANALYTIQUE	-59.9955	0.02
	\(\mathit{\sigma_{zz}}\)	ANALYTIQUE	19.9326	0.02
	\(\mathit{\sigma_{xy}}\)	ANALYTIQUE		0.02
	VMIS	ANALYTIQUE	138.5226	0.006
	TRESCA	ANALYTIQUE	159.9521	0.006
	PRIN_1	ANALYTIQUE	-59.9955	0.02
	PRIN_2	ANALYTIQUE	19.9326	0.02
	PRIN_3	ANALYTIQUE	99.9566	0.003
	VMIS_SG	ANALYTIQUE	138.5226	0.006

Identification		Reference type	Reference	Tolerance
\(F\)	\(\mathit{u}\) (X)	ANALYTIQUE	-2.1217.10-5	3.10-4
	\(\mathit{v}\) (DY)	ANALYTIQUE	2.1217.10-5	3.10-4
	\(\mathit{\sigma_{xx}}\)	ANALYTIQUE	20.003	5.10-3
	\(\mathit{\sigma_{yy}}\)	ANALYTIQUE	20.003	2.5.10-3
	\(\mathit{\sigma_{zz}}\)	ANALYTIQUE	20.003	5.10-4
	\(\mathit{\sigma_{xy}}\)	ANALYTIQUE	20.003	2.10-3

For Green-Lagrange deformations:

Identification		Reference type	Reference	Tolerance
\(A\)	\({E}_{\mathit{xx}}\)	ANALYTIQUE	0.000601356410318	4E-3
	\({E}_{\mathit{yy}}\)	ANALYTIQUE	-0.000604235469839	7.0E-3

15.4. notes

As with 3D modeling, the results obtained are absolutely satisfactory.