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AFNOR SSLS14: Spherical shell subjected to a pressure

1. Problem definition

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  • Material properties:

    • Young's modulus, E = 210 GPa
    • Poisson ratio, nu = 0.3
  • Thickness properties:

    • Thickness: 20 mm
  • Supports:

    • Fix translation along top edge
  • Loads:

    • Internal pressure of 10 kPa

2. Songeya model

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3. Results

3.1 Total deformation

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3.2 Membrane stresses

3.2.1 Radial stress

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4. Comparison

Position Parameter description Songeya results AFNOR results Difference Comment
A Stress tress (Pa) 2.49 e+5 2.50 e+5 0.4% OK
A Radial translation (m) 8.36 e-7 8.33 e-7 0.4% OK

5. Reference

Société française des mécaniciens. (1990). Guide de validation des progiciels de calcul de structures. Afnor.