Product: Abaqus/Standard
Linear elastic, Young's modulus = 207 GPa, Poisson's ratio = 0.3, yield stress = 207.9 MPa.
Boundary conditions:
= 0 for all nodes.
Loading:
An initial internal pressure of 80 MPa is increased in steps of 20 MPa to 160 MPa.
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 
and 
, respectively.
| r (mm) | Internal pressure (MPa) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 80 | 100 | 120 | 140 | 160 | ||||||
| | | | | | | | | | |
| 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 |