4. B modeling

4.1. Characteristics of modeling

The B model is done in 3D with STAT_NON_LINE.

4.2. Tested sizes and results

4.2.1. 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

4.2.2. Comments

The difference with the analytical solution is very small.