4. B modeling

4.1. Characteristics of B modeling

AXIS_FOURIER, T6 meshes

+——————–+——————————————————————————————————————–+———————————–+++ |Die-cutting: |80 elements depending on the length || +——————–+——————————————————————————————————————–+———————————–+++ | |2 elements according to the radius || +——————–+——————————————————————————————————————–+———————————–+++ | | || +——————–+——————————————————————————————————————–+———————————–+++ |Loads: | || +——————–+——————————————————————————————————————–+———————————–+++ | | || +——————–+——————————————————————————————————————–+———————————–+++ |\(\mathrm{C1}\):|vertical gravity (field \(\mathrm{Ug}\)) in the form of volume density of forces \(\rho g=76518\mathrm{Pa}\) | +——————–+——————————————————————————————————————–+———————————–+++ |\(\mathrm{C2}\):|pressure (field \(\mathrm{Up}\)) | | +——————–+——————————————————————————————————————–+———————————–+++

Displacement components: \({u}_{r}\) (radial), \({u}_{z}\) (axial), (axial), \({u}_{\theta }\) (circumferential)

Node names:

\(A=\mathrm{N1}\)

\(B=\mathrm{N2}\)

\(C=\mathrm{N3}\)

\(D=\mathrm{N4}\)

\(E=\mathrm{N249}\)

\(F=\mathrm{N87}\)

4.2. Characteristics of the mesh

Number of knots: 805

Number of meshes and types: 320 TRIA6

4.3. Tested values

Location	Value type	Reference	Aster	% difference
Field \(\mathrm{Ug}\) (for \(\theta =0.\))
Point \(E,F\)	\({u}_{r}(m)\) \({u}_{\theta }(m)\)	3.566 x 10—7 0.	3.541 x 10—7 0.	—0.70
Point \(B\)	\({\sigma }_{\mathrm{zz}}(\mathrm{Pa})\)	—2.496 x 105	—2.60 x 105	4.1
Field \(\mathrm{Up}\) (for \(\theta =0.\))
Point \(E\)	\({u}_{r}(m)\)	—7.82 x 10—6	—7.71 x 10—6	—1.4
Point \(F\)		—7.82 x 10—6	—7.70 x 10—6	—1.5
Point \(B\)	\({\sigma }_{\mathrm{rr}}(\mathrm{Pa})\) \({\sigma }_{\mathrm{zz}}(\mathrm{Pa})\) \({\sigma }_{\theta \theta }(\mathrm{Pa})\)	1.63 x 106 5.51 x 106 1.65 x 106	1.41 x 106 5.65 x 106 1.89 x 106	—13.4 2.7 14.7
Field \(\mathrm{Up}+\mathrm{Ug}\) (for \(\theta =0.\))
Point \(E\)	\({u}_{r}(m)\)	—7.46 x 10—6	—7.358 x 10—6	—1.3
Point \(F\)	\({u}_{r}(m)\)	—7.46 x 10—6	—7.348 x 10—6	—1.5
Point \(B\)	\({\sigma }_{\mathrm{rr}}(\mathrm{Pa})\) \({\sigma }_{\mathrm{zz}}(\mathrm{Pa})\) \({\sigma }_{\theta \theta }(\mathrm{Pa})\)	1.56 x 106 5.25 x 106 1.57 x 106	1.34 x 106 5.398 x 106 1.80 x 106	—13.7 2.8 15.0

4.4. notes

• The reference values for pressure (field \(\mathrm{Up}\)) are obtained in the C modeling, from a 3D mesh.

• The results obtained are strictly identical to those of modeling A with PESANTEUR.

4.5. Contents of the results file

Travel, constraints.