4. B modeling#

4.1. Characteristics of modeling#

Modeling AXIS_FOURIER, mesh QUAD8

A E B

Pre-deformations field \({\varepsilon }_{0}\mathit{constant}\mathrm{=}\alpha {T}_{0}\), \({T}_{0}\mathrm{=}1\).

(\({\varepsilon }_{\mathit{rr}}\mathrm{=}{\varepsilon }_{\mathit{zz}}\mathrm{=}{\varepsilon }_{\theta \theta }\mathrm{=}0.12\mathrm{\times }{10}^{\mathrm{-}4}\))

Breakdown:	80 elements depending on the length
	2 elements along the radius

Node name:

\(A\mathrm{=}\mathit{N1}\)

\(B\mathrm{=}\mathit{N2}\)

\(C\mathrm{=}\mathit{N3}\)

\(D\mathrm{=}\mathit{N4}\)

\(E\mathrm{=}\mathit{N9}\)

\(F\mathrm{=}\mathit{N171}\)

\(G\mathrm{=}\mathit{N371}\)

4.2. Characteristics of the mesh#

Number of knots: 645

Number of meshes and types: 160 QUAD8

4.3. Tested sizes and results#

	Location	Value Type	Reference Type	Reference Values	% Tolerance
Charge in \(\mathrm{cos}\theta\)	Point \(G\)	\({u}_{r}(m)\) \({u}_{\theta }(m)\)	SOURCE EXTERNE	0.96 x 10—5 0.15 x 10—5	0.10 0.10
Load in \(\mathrm{sin}2\theta\)	Point \(G\)	\({u}_{r}(m)\)		SOURCE EXTERNE	0.544426 x 10—5	0.10
Total load	Point \(G\)	\({u}_{r}(m)\) \({u}_{\theta }(m)\)	SOURCE EXTERNE	1.50748 10—5 1.52412 10—5	0.10 0.10