AFNOR HSLS01: Thin plate deformed according to spherical curve
1. Problem definition
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Material properties:
- Young's modulus, E = 200 GPa
- Poisson ratio, nu = 0.3
- Coefficient of thermal expansion = 1e-5 1/C
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Thickness properties:
- Thickness: 10 mm
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Supports:
- Fix all edges
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Loads:
- Temprature gradient of 100 C. Top face hotter than bottom face by 100 C
2. Songeya model
3. Results
3.1 Bending moment along edge
3.2 Bending stresses along edge
4. Comparison
| Position | Parameter description | Songeya results | AFNOR results | Difference | Comment |
|---|---|---|---|---|---|
| All edges | Bending moment (Nm/m) | 2380.95 | 2380.95 | 0.0% | OK |
| All edges | Bending stress (Pa) | 142.857 e+6 | 142.185 e+6 | 0.5% | OK |
5. Reference
Société française des mécaniciens. (1990). Guide de validation des progiciels de calcul de structures. Afnor.