2. Benchmark solution

2.1. Calculation method used for the reference solution

Comparison with other numerical results obtained with 3D meshes or shells (in particular in the context of the Tripartite Sheet 3455 of CEA, (see references), and with a fairly fine COQUE_3D calculation (D modeling).

2.2. Benchmark results

For a moment applied \(\mathrm{MZ}\) in \(D\) of \(17000\mathrm{Nm}\), the displacement \(\mathrm{DY}\) of the same point \(D\) is equal to:

Calculation type	\(\mathrm{Dy}\) point \(D\) ( \(\mathrm{mm}\) )
Calculation CEA (shells + Victus)	0.02
Calculation COQUE_3D	0.02012 (D modeling)

For reference, we choose the value \(\mathit{Dy}\mathrm{=}0.02\mathit{mm}\).

For out-of-plane bending, the reference value (calculation COQUE_3D fine) is \(–1.5657{10}^{\mathrm{-}2}\mathit{mm}\).

2.3. Precision on the reference results

Since the reference solution is numerical, the accuracy can be evaluated based on [§2.2] at 2%.

2.4. Bibliographical references

1. M.N. BERTON: « Elastoplastic pipe calculations with CASTEM 2000. Formulation VICTUS. Summary of the 3455 sheet ». Note CEA/LDM 96/6036

2. J.M. PROIX, A. BEN HAJ YEDDER: « Project CACIP: study of a pipe bent under bending ». Rating EDF/DER HI-75/98/001/0