7. E modeling

7.1. Characteristics of modeling

2 TUYAU elements with 4 knots for the tubular section.

Single pull:	(ECRO_LINE)
Pure bending:	without work hardening

In addition, we block the degrees of freedom that correspond to mode 3 of ovalization: \(\mathrm{U03}\), \(\mathrm{V03}\), \(\mathrm{W03}\)

7.2. Characteristics of the mesh

2 TUYAU elements (SEG4 mesh)

7.3. Tested sizes and results

Nodal reactions are tested:

Size	Order Number	Node	Reference Type	Reference Value	Tolerance
\(\mathrm{DX}\)	11	\(B\)		ANALYTIQUE	\(9.47152E+4\)	\(0.10\text{\%}\)
\(\mathrm{DX}\)	21	\(B\)		ANALYTIQUE	\(9.5653E+4\)	\(0.10\text{\%}\)
\(\mathrm{DRZ}\)	1	\(B\)		ANALYTIQUE	\(4.64217E+3\)	\(0.10\text{\%}\)
\(\mathrm{DRZ}\)	21	\(B\)		ANALYTIQUE	\(5.9106E+3\)	\(0.50\text{\%}\)

The deformations, the equivalent deformations and the equivalent stresses are tested respectively:

Size	Order Number	Mesh	Knot	Reference Type	Reference Value	Tolerance
\(\mathit{EPYY}\)	1	\(\mathit{M1}\)	\(\mathit{N1}\)		NON_REGRESSION	\(\mathrm{-}2.25E\mathrm{-}4\)	\(0.01\text{\%}\)
\(\mathit{INVA}\text{\_2}\)	1	\(\mathit{M1}\)	\(\mathit{N1}\)		NON_REGRESSION	\(5.89491E\mathrm{-}4\)	\(0.01\text{\%}\)
\(\mathit{VMIS}\)	1	\(\mathit{M1}\)	\(\mathit{N1}\)		NON_REGRESSION	\(0.0\)	\(0.10\text{\%}\)
\(\mathit{KY}\)	1	\(\mathit{M1}\)	\(\mathit{N1}\)		ANALYTIQUE	\(\mathrm{-}7.5E\mathrm{-}3\)	\(0.10\text{\%}\)

Size	Order Number	Mesh	Point	Reference Type	Reference Value	Tolerance
\(\mathit{KY}\)	1	\(\mathit{M1}\)	\(3\)		ANALYTIQUE	\(\mathrm{-}7.5E\mathrm{-}3\)	\(0.1\text{\%}\)