AFNOR SSLS08: hin-walled cylinder under hydrostatic pressure
1. Problem definition
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Material properties:
- Young's modulus, E = 210 GPa
- Poisson ratio, nu = 0.3
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Thickness properties:
- Thickness: 20 mm
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Supports:
- Fix translation in Z on one end
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Loads:
- 20 kPa at the bottom, 0 kPa at the top, linearly varying
2. Songeya model
Model only one quarter of the cylinder and impose symmetry boundary conditions
3. Results
3.1 Total deformation
3.2 Membrane stresses: Maps
3.3 Membrane stresses: Cuts
4. Comparison
| Position | Parameter description | Songeya results | AFNOR results | Difference | Comment |
|---|---|---|---|---|---|
| B | Translation, TX (mm) | 2.369 e-3 | 2.380 e-3 | 0.5% | OK |
| B | Radial stress (kPa) | 496 | 500.0 | 0.8% | OK |
| A | Translation, TZ (mm) | -2.843 e-3 | -2.860 e-3 | 0.6% | OK |
5. Reference
Société française des mécaniciens. (1990). Guide de validation des progiciels de calcul de structures. Afnor.