3. B modeling#
3.1. Characteristics of modeling#
The modeling is three-dimensional (3D) and static, non-linear.
The horizontal displacement imposed on the upper facet varies between \(0\) and \(-0.05m\) in \(100\) time steps between \(t=0.\) and \(t=10\). The automatic subdivision of the time step is activated to manage situations of non-convergence of local integration.
3.2. Tested sizes and results#
The solutions are calculated at point \(C\) for orthotropic material and compared to code_aster modeling with isotropic material. They are given in terms of stress \({\mathrm{\sigma }}_{\mathit{xy}}\), total volume deformation \({\varepsilon }_{v}\) and isotropic work-hardening coefficients \(\left({r}_{\text{ela}}^{\text{iso},m}+{r}_{\text{iso}}^{m}\right)\) and deviatory \(\left({r}_{\text{ela}}^{d,m}+{r}_{\text{dev}}^{m}\right)\), and summarized in the following tables:
\({\mathrm{\sigma }}_{\mathit{xy}}(\mathit{kPa})\)
\(t\) |
|
|
Tolerance (%) |
10.0 |
“AUTRE_ASTER” |
-2.19255E+04 |
0.1 |
\({\epsilon }_{V}=\text{trace}\left(\epsilon \right)\)
\(t\) |
|
|
Tolerance (%) |
10.0 |
“AUTRE_ASTER” |
-1.83338E-03 |
0.2 |
\(\left({r}_{\text{ela}}^{d,m}+{r}_{\text{dev}}^{m}\right)\) (Map \(\mathrm{XY}\))
\(t\) |
|
|
Tolerance (%) |
10.0 |
“AUTRE_ASTER” |
8.86260E-01 |
0.1 |
\(\left({r}_{\text{ela}}^{\text{iso},m}+{r}_{\text{iso}}^{m}\right)\)
\(t\) |
|
|
Tolerance (%) |
10.0 |
“AUTRE_ASTER” |
9.12771E-02 |
0.1 |