v3.04.109 SSLV109 - Full cylinder with non-uniform pressure mode 1

Summary:

This test validates all Fourier elements (triangles and quadrangles of degrees 1 and 2) in elasticity. The features are as follows:

• variable pressure in space,

• mandatory trips,

• Fourier mode 1 stiffness matrices,

• constraints to Fourier mode 1 nodes,

• Fourier recombination on displacements and constraints (ModelizationA),

• transverse isotropic material (F modeling).

The test has a quadratic analytical solution in displacements.

The advantage of the test lies in:

• the comparison between calculated solution and analytical solution on the various finite elements,

• the comparison of the results with Code PERMAS on elements TRIA6 (ModelizationA).

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
  • 1.4. Initial conditions
• 2. Benchmark solution
  • 2.1. Calculation method used for the reference solution
  • 2.2. Benchmark results
  • 2.3. Uncertainty about the solution
  • 2.4. Bibliographical references
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
• 4. Model A results
  • 4.1. Tested values
  • 4.2. notes
• 5. B modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
• 6. B modeling results
  • 6.1. Tested values
  • 6.2. notes
• 7. C modeling
  • 7.1. Characteristics of modeling
  • 7.2. Characteristics of the mesh
• 8. C modeling results
  • 8.1. Tested values
  • 8.2. notes
• 9. D modeling
  • 9.1. Characteristics of modeling
  • 9.2. Characteristics of the mesh
• 10. Results of the D modeling
  • 10.1. Tested values
  • 10.2. notes
• 11. E modeling
  • 11.1. Characteristics of modeling
  • 11.2. Characteristics of the mesh
  • 11.3. notes
• 12. Modeling results E
  • 12.1. Tested values
  • 12.2. notes
• 13. F modeling
  • 13.1. Characteristics of modeling
  • 13.2. Characteristics of the mesh
• 14. F modeling results
  • 14.1. Tested values
• 15. Summary of results