AFNOR SSLS17: Spherical shell under self-weight
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 along top edge
- Fix translation in X and Y at the bottom node
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Loads:
- Bending moment along edge of 0.1kNm/m
2. Songeya model
3. Results
3.1 Total deformation
3.2 Membrane stresses
3.2.1 Horizontal stress
3.2.2 Vertical stress
4. Comparison
| Position | Parameter description | Songeya results | AFNOR results | Difference | Comment |
|---|---|---|---|---|---|
| A | Horizontal stress (Pa) | 7.89 e+4 | 7.85 e+4 | 0.5% | OK |
| A | Vertical stress (Pa) | 7.61 e+4 | -7.85 e+4 | 3.1% | OK |
| A | Radial translation (m) | 4.82 e-7 | 4.86 e-7 | 0.8% | OK |
5. Reference
Société française des mécaniciens. (1990). Guide de validation des progiciels de calcul de structures. Afnor.