3. Modeling A#
3.1. Characteristics of modeling#
The modeling of ductile rupture is carried out with modeling AXIS_INTERFACE and law CZM_TRA_MIX. Volume elements are modeled with model AXIS.
3.2. Characteristics of the mesh#
The input mesh is linear. It is transformed into a quadratic mesh by LINE_QUAD in CREA_MAILLAGE.
After the transformation, its characteristics are as follows:
Number of knots: 962
Count of elements: 280 QUAD8.
Number of interface elements: 15 QUAD8.
3.3. Tested sizes and results#
Non-regression test: diametral contraction (\(\mathrm{-}2\mathrm{\times }\mathit{DX}\) from point \(B\)), traction force (the resultant \(\mathit{DY}\) of REAC_NODA out of \(\mathit{CD}\) multiplied by \(2\pi\)) as a function of the tensile displacement \(\mathit{DY}\) (on \(\mathit{CD}\)).
For a shift from \(\mathrm{0,3}\mathrm{mm}\) according to \(Y\) to \(\mathit{CD}\)
Size tested |
Code_Aster |
Tolerance ( \(\text{\%}\) ) |
Contraction (\(\mathrm{mm}\)) |
0.605676 |
0.10 |
Force (\(\mathit{kN}\)) |
28.8696 |
0.10 |
For a shift from \(\mathrm{0,4}\mathrm{mm}\) according to \(Y\) to \(\mathrm{CD}\)
Size tested |
Code_Aster |
Tolerance ( \(\text{\%}\) ) |
Contraction (\(\mathrm{mm}\)) |
0.931629 |
0.10 |
Force (\(\mathrm{kN}\)) |
23.6023 |
0.10 |
Non-regression test on the calculation performed with the Rousselier model: diametral contraction (\(\mathrm{-}2\mathrm{\times }\mathit{DX}\) from point \(B\)), traction force (the resultant \(\mathit{DY}\) of REAC_NODA out of \(\mathrm{CD}\) multiplied by \(2\pi\)) as a function of the traction displacement (\(\mathit{DY}\) on \(\mathrm{CD}\)).
For a shift from \(\mathrm{0,2}\mathit{mm}\) according to \(Y\) to \(\mathit{CD}\)
Size tested |
Code_Aster |
Rousselier |
Error ( \(\text{\%}\) )) ** |
Contraction (\(\mathit{mm}\)) |
0.333202 |
0.349885 |
4.8 |
Force (\(\mathit{kN}\)) |
29.3851 |
29.3597 |
0.087 |
For a shift from \(\mathrm{0,3}\mathit{mm}\) according to \(Y\) to \(\mathit{CD}\)
Size tested |
Code_Aster |
Rousselier |
Error ( \(\text{\%}\) )) ** |
|
Contraction (\(\mathit{mm}\)) |
0.605676 |
0.605676 |
0.620591 |
2.4 |
Force (\(\mathit{kN}\)) |
28.8696 |
28.8696 |
28.6069 |
0.92 |
For a shift from \(\mathrm{0,4}\mathit{mm}\) according to \(Y\) to \(\mathit{CD}\)
Size tested |
Code_Aster |
Rousselier |
Error ( \(\text{\%}\) )) ** |
|
Contraction (\(\mathit{mm}\)) |
0.931629 |
0.931629 |
0.954683 |
2.4 |
Force (\(\mathit{kN}\)) |
23.5744 |
22.6731 |
22.6731 |
04/01/00 |