2. Benchmark solution#
2.1. Calculation method used for the reference solution#
Analytical solution for plastic deformation, identical to test HSNV124B.
For the displacements (structural elements): Comparison with the displacements obtained with Code_Aster for modeling A.
2.2. Benchmark results#
Evolution of the plastic deformation following \(y\) and of the displacement following \(y\) (the plastic deformation not being accessible for the structural elements).
Plastic deformation:
\(t=\mathrm{1s}\) ( \(T=0°C\) ): \({\varepsilon }^{p}=1\text{\%}\)
Heating: Constant plastic deformation up to \(t=356/316=\mathrm{1.12658s}\) \(T=12.658°C\)
Then the plastic deformation decreases to reach \(t=\mathrm{2s}\) \({\varepsilon }^{p}=0.08\text{\%}\)
We also test the components SIYY (constant) and SIZZ (zero, if the calculation is well performed under plane constraints).
\(T(s)\) |
Plastic deformation EPYY |
DY (\(\mathrm{mm}\)) |
SIYY (\(\mathrm{Mpa}\)) |
SIZZ (\(\mathrm{Mpa}\)) |
1 |
0.01 |
|
210 |
0 |
1.1 |
0.01 |
|
210 |
0 |
2 |
|
|
210 |
0 |
2.3. Precision on the reference results#
Analytics
2.4. Bibliographical references#
IPSI: Phi2as study day on the nonlinear behaviors of materials on 30 March 2000