3. Modeling A

3.1. Characteristics of modeling

3.2. Characteristics of the mesh

Number of knots: 23.

Number of meshes and types: 4 QUAD8.

3.3. Tested results and sizes

Identification	Reference	Aster	% difference	tolerance
\(A\) \({\sigma }_{\mathrm{rr}}\)	—1.00003	—1.06833	6.83	7.0
\({\sigma }_{\theta \theta }\)	—4.43821	—4.46731	0.66	2.0
\({\sigma }_{\mathrm{zz}}\)	0.19518	0.16596	14.9	15.0
\({e}_{\mathrm{rel}}\)		2.37%		5.0
\(E\) mat. 1 \({\sigma }_{\mathrm{rr}}\)	—1.95508	—1.97893	1.22	2.0
\({\sigma }_{\theta \theta }\)	—3.48316	—3.49330	0.29	2.0
\({\sigma }_{\mathrm{zz}}\)	0.19518	0.18498	0.18498	5.22	6.0
\({e}_{\mathrm{rel}}\)		1.05%		5.0
\(E\) mat. 2 \({\sigma }_{\mathrm{rr}}\)	—1.95508	—1.98398	1.48	2.0
\({\sigma }_{\theta \theta }\)	—2.16049	—2.13394	1.23	2.0
\({\sigma }_{\mathrm{zz}}\)	—0.32135	—0.32204	0.22	2.0
\({e}_{\mathrm{rel}}\)		0.152%		5.0
\(B\) \({\sigma }_{\mathrm{rr}}\)	—1.99999	—2.00095	0.048	2.0
\({\sigma }_{\theta \theta }\)	—2.11555	—2.11595	0.012	2.0
\({\sigma }_{\mathrm{zz}}\)	—0.32135	—0.32174	0.12	2.0
\({e}_{\mathrm{rel}}\)		0.057%		5.0

3.4. notes

Since the mesh is coarse (4 elements following \(\text{Or}\)), some constraints near the axisymmetry axis are poorly approximated. On the other hand, the jump of \({\sigma }_{\theta \theta }\) and \({\sigma }_{\mathrm{zz}}\) at the interface of the 2 materials is well detected.

3.5. notes

Overall estimated relative error= 1.40%.