4. B modeling

4.1. Characteristics of modeling

4.2. Characteristics of the mesh

Number of knots: 224

Number of meshes and type: 384 TRIA3

4.3. Tested values

Identification	Reference [bib1]	Reference [bib2]	Aster	% differences
Move \(w\) to point \(F\)	\(0.35{10}^{\mathrm{-}4}m\)		\(0.6{10}^{\mathrm{-}4}m\)		\(0.383{10}^{\mathrm{-}4}\)	9.571 [bib1] 36.084 [bib2]
Move \(w\) to point \(C\)	\(–0.7{10}^{\mathrm{-}3}m\)		\(–0.6{10}^{\mathrm{-}3}m\)		\(–7.138{10}^{\mathrm{-}4}\)	1.985 [bib1] 18.982 [bib2]
Move \(w\) to point \(D\)	\(0.25{10}^{\mathrm{-}4}m\)		\(0.1{10}^{\mathrm{-}3}m\)		\(0.350{10}^{\mathrm{-}4}\)	40.368 [bib1] —64.908 [bib2]
Constraint \(\mathit{SIXX}\) at point \(F\)	\(–0.350\mathit{MPa}\)		\(–0.325\mathit{MPa}\)		\(–0.470\mathit{MPa}\)	34.348 [bib1] 44.682 [bib2]
Constraint \(\mathit{SIYY}\) at point \(F\)	\(0.500\mathit{MPa}\)		\(0.600\mathit{MPa}\)	\(0.400\mathit{MPa}\)	—19.929 [bib1] —33.274 [bib2]

4.4. notes

• Values for the CISA_L and CISA_T coefficients are not available. As the structure is thin (\(h/R=0.045\)), it is assumed that the effects of transverse shear are negligible, so we imposed CISA_L = CISA_T = \({10}^{10}\).

• The normal displacement w is expressed in the local cylindrical coordinate system \((R,\theta ,z)\), it is the displacement normal to the shell element.

4.5. Value of the normal displacement along CD

The results obtained with a TRIA3 mesh are very similar to those obtained with the QUAD4 mesh.

4.6. Stress value along CD

The stress profiles obtained by B modeling with TRIA3 are generally close to Batoz solutions.