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AFNOR SSLS09: 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
    • Unit weight = 78.5 kN/m^3
  • Thickness properties:

    • Thickness: 20 mm
  • Supports:

    • Fix translation in Z on one end
    • Apply symmetry boundary conditions to achieve equilibrium
  • Loads:

    • Self weight

2. Songeya model

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3. Results

3.1 Total deformation

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3.2 Membrane stresses

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4. Comparison

Position Parameter description Songeya results AFNOR results Difference Comment
B Translation, TX (mm) 4.401 e-3 4.490 e-3 2.0% OK
B Circumferential stress (kPa) 306.0 314.2 2.6% OK
A Translation, TZ (mm) -2.995 e-3 -2.990 e-3 0.2% OK

5. Reference

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