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AFNOR SSLS06: Thin-walled cylinder under uniform radial 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 in Z on one end
  • Loads:

    • Internal pressure: 10 kPa

2. Songeya model

Model only one quarter of the cylinder and impose symetry boundary conditions

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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
A Translation, TX (mm) 2.370 e-3 2.380 e-3 0.4% OK
A Circumferential stress (kPa) 498.0 500.0 0.4% OK
B 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.