3. Modeling A

3.1. Characteristics of the mesh

Number of knots: 12.

3D modeling: 2 quadratic volume elements: HEXA8.

3.2. Tested features

Python commands are inserted directly into command file ASTER. These commands are used to write post-processing functions on the result fields, such as averages, the trace of a strain or stress tensor,… etc. The result fields are retrieved by the EXTR_COMP command.

3.3. Tested values

First calculation:

The Young’s modulus in the \(X\) direction in this case is the mean of the \({\sigma }_{\mathit{xx}}\) constraints:

\({E}_{\mathit{xx}}^{\mathit{eff}}\mathrm{=}\mathrm{\langle }{\sigma }_{\mathit{xx}}\mathrm{\rangle }\)

Second calculation:

The Young’s modulus in the \(Y\) direction in this case is the mean of the \({\sigma }_{\mathit{yy}}\) constraints:

\({E}_{\mathit{yy}}^{\mathit{eff}}\mathrm{=}\mathrm{\langle }{\sigma }_{\mathit{yy}}\mathrm{\rangle }\)

Identification	Reference	Aster	\(\text{\%}\) difference
\(\mathrm{\langle }{\sigma }_{\mathit{xx}}\mathrm{\rangle }\)	133333	134134	1.00
\(\mathrm{\langle }{\sigma }_{\mathit{yy}}\mathrm{\rangle }\)	150000	150000	0.00