4. B modeling

4.1. Characteristics of modeling

4.2. Characteristics of the mesh

Number of knots:

Number of meshes and types: 20 QUAD8.

4.3. Tested results and sizes

Identification	Reference	Aster	% difference	tolerance
\(A\) \({\sigma }_{\mathrm{rr}}\)	—1.00003	—1.00351	0.35	0.5
\({\sigma }_{\theta \theta }\)	—4.43821	—4.43970	0.034	0.05
\({\sigma }_{\mathrm{zz}}\)	0.19518	0.19369	0.76	0.8
\({e}_{\mathrm{rel}}\)		0.57%		0.6
\(E\) mat. 1 \({\sigma }_{\mathrm{rr}}\)	—1.95508	—1.95583	0.039	0.05
\({\sigma }_{\theta \theta }\)	—3.48316	—3.48347	0.009	0.01
\({\sigma }_{\mathrm{zz}}\)	0.19518	0.19486	0.16	0.2
\({e}_{\mathrm{rel}}\)		0.14%		0.2
\(E\) mat. 2 \({\sigma }_{\mathrm{rr}}\)	—1.95508	—1.96166	0.34	0.5
\({\sigma }_{\theta \theta }\)	—2.16049	—2.15403	0.299	0.5
\({\sigma }_{\mathrm{zz}}\)	—0.32135	—0.32138	0.009	0.01
\({e}_{\mathrm{rel}}\)		0.027%		0.03
\(B\) \({\sigma }_{\mathrm{rr}}\)	—1.99999	—2.00003	0.002	0.01
\({\sigma }_{\theta \theta }\)	—2.11555	—2.11558	0.001	0.01
\({\sigma }_{\mathrm{zz}}\)	—0.32135	—0.32135	0.002	0.01
\({e}_{\mathrm{rel}}\)		0.0084%		0.01

4.4. note

Overall estimated relative error= 0.24%.