2. Benchmark solution#
2.1. Calculation method used for the reference solution#
The reference results were obtained with Europlexus.
The meshes used by Europlexus and Code_Aster are the same.
2.2. Benchmark results#
The reference results correspond to the following displacement \(Z\) of the node \(\mathit{N9}\) located in the center of the beam. They were obtained at moment \(t\mathrm{=}\mathrm{0.001s}\).
Grandeur |
Location |
Europlexus elements |
|
Q4GS |
T3GS |
||
Next move \(Z\) |
\(X\mathrm{=}5.m\) |
\(\mathrm{-}1.79497\mathrm{\times }{10}^{\mathrm{-}5}\text{m}\) |
\(\mathrm{-}1.79508\mathrm{\times }{10}^{\mathrm{-}5}\text{m}\) |
Next speed \(Z\) |
\(X\mathrm{=}5.m\) |
\(\mathrm{-}3.76207\mathrm{\times }{10}^{\mathrm{-}2}\text{m/s}\) |
\(-3.76309\times {10}^{-2}\text{m/s}\) |
Next acceleration \(Z\) |
\(X\mathrm{=}5.m\) |
\(\mathrm{-}39.09299\text{m/s²}\) |
\(\mathrm{-}39.17340\text{m/s²}\) |
2.3. Uncertainty about the solution#
Digital solution.
2.4. Bibliographical references#
[1] MARKOVIC D., « Implantation of a new thick shell finite element (T3GS) in Europlexus », Note EDF /R &D/ AMA H-T-62-2008-00080-FR.