3. Modeling A

3.1. Characteristics of modeling

Loading and boundary conditions are modelled by:

On node N04, DX=DY=0

On node N08, DX=DY=DZ=0

On node N02, DX=0.

On node N06, DX=0.

A nodal force is imposed on:

(N01 N03 N05 N07), \(\mathit{FX}=-\text{}\frac{1}{4}{\sigma }_{d}(t)\), \(\mathit{FY}=-\text{}\frac{1}{4}{\tau }_{d}(t)\)

(N03 N04 N07 N08), \(\mathit{FX}=-\text{}\frac{1}{4}{\tau }_{d}(t)\)

(N02 N04 N06 N08), \(\mathit{FY}=\frac{1}{4}{\tau }_{d}(t)\)

(N01 N02 N05 N06), \(\mathit{FX}=\frac{1}{4}{\tau }_{d}(t)\)

The mechanical calculation is carried out with VonMises’s elasto-plastic behavior law with linear kinematic work hardening (keyword “RELATION = META_P_CL”).

3.2. Characteristics of the mesh

Number of knots:	8
Number of meshes and type:	1 HEXA8, 4 QUAD4

3.3. Tested sizes and results

Variables	Moments ( \(s\) )	Reference Type	Reference	% tolerance
\({\sigma }_{\mathit{xx}}\)	1	AUTRE_ASTER	151.2	\({1.E}^{-8}\)
\({\sigma }_{\mathit{xy}}\)	1	AUTRE_ASTER	93.1	\({1.E}^{-8}\)
\({\epsilon }_{\mathit{xx}}\)	1	AUTRE_ASTER	0.0148297136069	\({1.E}^{-8}\)
\({\epsilon }_{\mathit{yy}}\)	1	AUTRE_ASTER	-0.00725977988037	\({1.E}^{-8}\)
\({\epsilon }_{\mathit{xy}}\)	1	AUTRE_ASTER	0.0136014010824	\({1.E}^{-8}\)
\({\sigma }_{\mathit{xx}}\)	2	AUTRE_ASTER	257.2	\({1.E}^{-8}\)
\({\sigma }_{\mathit{xy}}\)	2	AUTRE_ASTER	33.1	\({1.E}^{-8}\)
\({\epsilon }_{\mathit{xx}}\)	2	AUTRE_ASTER	0.0406564534069	\({1.E}^{-8}\)
\({\epsilon }_{\mathit{yy}}\)	2	AUTRE_ASTER	-0.0200644318317	\({1.E}^{-8}\)
\({\epsilon }_{\mathit{xy}}\)	2	AUTRE_ASTER	0.0198372954357	\({1.E}^{-8}\)
\({\sigma }_{\mathit{xx}}\)	3	AUTRE_ASTER	4.67477798665E-13	\({1.E}^{-8}\)
\({\sigma }_{\mathit{xy}}\)	3	AUTRE_ASTER	2.92922830899E-14	\({1.E}^{-8}\)
\({\epsilon }_{\mathit{xx}}\)	3	AUTRE_ASTER	0.039337479048	\({1.E}^{-8}\)
\({\epsilon }_{\mathit{yy}}\)	3	AUTRE_ASTER	-0.019668739524	\({1.E}^{-8}\)
\({\epsilon }_{\mathit{xy}}\)	3	AUTRE_ASTER	0.019616628769	\({1.E}^{-8}\)