4. B modeling

4.1. 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 isotropic work hardening (key word” RELATION = META_P_IL “) and in large deformations (keyword” DEFORMATION = SIMO_MIEHE “)

4.2. Characteristics of the mesh

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

4.3. Tested sizes and results

Variables	Moments ( \(s\) )	Reference Type	Reference	% tolerance
\({\sigma }_{\mathit{xx}}\)	1	AUTRE_ASTER	148.56612701	\({1.E}^{-8}\)
\({\sigma }_{\mathit{xy}}\)	1	AUTRE_ASTER	94.6669933181	\({1.E}^{-8}\)
\({\epsilon }_{\mathit{xx}}\)	1	AUTRE_ASTER	0.015468475646	\({1.E}^{-8}\)
\({\epsilon }_{\mathit{yy}}\)	1	AUTRE_ASTER	-0.00768174092805	\({1.E}^{-8}\)
\({\epsilon }_{\mathit{xy}}\)	1	AUTRE_ASTER	0.0141972994127	\({1.E}^{-8}\)
\({\sigma }_{\mathit{xx}}\)	2	AUTRE_ASTER	248.713357259	\({1.E}^{-8}\)
\({\sigma }_{\mathit{xy}}\)	2	AUTRE_ASTER	27.5330374296	\({1.E}^{-8}\)
\({\epsilon }_{\mathit{xx}}\)	2	AUTRE_ASTER	0.0385022874704	\({1.E}^{-8}\)
\({\epsilon }_{\mathit{yy}}\)	2	AUTRE_ASTER	-0.0195587811987	\({1.E}^{-8}\)
\({\epsilon }_{\mathit{xy}}\)	2	AUTRE_ASTER	0.0210883631486	\({1.E}^{-8}\)
\({\sigma }_{\mathit{xx}}\)	3	AUTRE_ASTER	1.409651686078	\({1.E}^{-8}\)
\({\sigma }_{\mathit{xy}}\)	3	AUTRE_ASTER	0.718644752334	\({1.E}^{-8}\)
\({\epsilon }_{\mathit{xx}}\)	3	AUTRE_ASTER	0.037173466674	\({1.E}^{-8}\)
\({\epsilon }_{\mathit{yy}}\)	3	AUTRE_ASTER	-0.0191595912069	\({1.E}^{-8}\)
\({\epsilon }_{\mathit{xy}}\)	3	AUTRE_ASTER	0.0209115907367	\({1.E}^{-8}\)