3. Modeling A#
3.1. Characteristics of modeling#
Modeling A is carried out on a 0D hardware point with SIMU_POINT_MAT.
3.2. Tested sizes and results#
3.2.1. Tested values#
The solutions are post-treated at point \(C\), in terms of:
vertical constraint \({\mathrm{\sigma }}_{\mathit{zz}}\);
horizontal deformation \({\mathrm{ϵ}}_{\mathit{xx}}\);
\({e}^{P}=\Vert {e}^{P}\Vert\) deviatoric plastic deformation norm
They are compared to an analytical solution (described in the next paragraph) in terms of maximum difference between \(t=0\) and \(t=20\). The results are summarised in the following tables:
\(Q=\sqrt{\frac{1}{2}\underline{\underline{s}}\mathrm{:}\underline{\underline{s}}}[\mathit{Pa}]\)
Variable |
Absolute deviation | Code_Aster − Analytics | |
\({\mathrm{\sigma }}_{\mathit{zz}}\) |
0 |
\({\mathrm{ϵ}}_{\mathit{xx}}\) |
3.10-5 |
\({e}^{P}\) |
1.333 10-5 |
3.2.2. Comments#
The difference with the analytical solution is very small.