9. Summary of results

This test makes it possible to verify the correct functioning of the element TUYAU (3 modes and 6 Fourier modes) in linear elasticity, with the operators MECA_STATIQUE and STAT_NON_LINE, for all the loads applicable to this element.

The deviations from the analytical reference solution (solution in the hypothesis of a beam) are very small for the displacements (0.04% to 0.06%), except for pressure loading where the 3% difference is due to the fact that \(\mathrm{Wo}\) represents an average radial displacement. In reality, this radial displacement varies in thickness. The difference in deformations and stresses \((\approx 1\text{\%})\) is greater than that in displacements but remains acceptable given that these values are calculated at integration points located in the thickness of the pipe.