NL2: Axisymmetric thick cylinder

This is a test recommended by the National Agency for Finite Element Methods and Standards (U.K.): Test NL2 from NAFEMS Publication NNB, Rev. 1, “NAFEMS Non-Linear Benchmarks,” October 1989.

The target radial stress and the target circumferential (hoop) stress are given by ${\sigma }_{rr}$ and ${\sigma }_{\theta \theta }$, respectively.

r (mm)	Internal pressure (MPa)
	80		100		120		140		160
	${\sigma }_{rr}$	${\sigma }_{\theta \theta }$	${\sigma }_{rr}$	${\sigma }_{\theta \theta }$	${\sigma }_{rr}$	${\sigma }_{\theta \theta }$	${\sigma }_{rr}$	${\sigma }_{\theta \theta }$	${\sigma }_{rr}$	${\sigma }_{\theta \theta }$
104.2	−71.55	124.9	−89.74	149.9	−110.1	130.0	−130.1	110.0	−150.1	89.92
115.8	−52.89	106.2	−66.65	133.7	−84.87	154.7	−104.9	135.2	−124.9	115.2
124.2	−42.46	98.50	−53.47	120.6	−68.32	154.1	−87.92	151.9	−107.9	132.1
135.8	−31.19	84.52	−39.27	106.4	−50.17	136.0	−66.66	172.3	−86.61	153.3
146.3	−23.16	76.49	−29.16	96.32	−37.26	123.1	−49.51	163.5	−68.61	170.9
163.7	−13.14	66.48	−16.55	83.71	−21.15	107.0	−28.10	142.1	−41.94	195.9
176.3	−7.643	60.98	−9.624	76.78	−12.30	98.10	−16.34	130.4	−24.55	195.9
193.7	−1.769	55.10	−2.227	69.38	−2.846	88.65	−3.781	117.8	−5.682	177.0