v6.04.231 SSNV231 — Hollow sphere under internal pressure in large deformations

Summary:

The objective of this test is to validate the various incompressible formulations in large deformations. The advantage of this test case is that we have an analytical solution. Five models are used to validate formulations regardless of the type of finite element:

Modeling A: 3D quadratic mesh HEXA20 (INCO_UPG, INCO_UP)

B modeling: 3D quadratic mesh TETRA10 (INCO_UPG, INCO_UP)

C modeling: 3D quadratic mesh PENTA15 (INCO_UPG, INCO_UP)

D modeling: AXIS quadratic mesh QUAD8 (INCO_UPG, INCO_UP)

E modeling: AXIS quadratic mesh TRIA6 (INCO_UPG, INCO_UP)

F modeling: 3D quadratic mesh HEXA20 (HHO)

• 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
  • 2.2. Reference quantities and results
  • 2.3. Uncertainties about the solution
  • 2.4. Bibliographical references
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. Tested sizes and results
  • 3.4. notes
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested sizes and results
  • 4.4. notes
• 5. C modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
  • 5.3. Tested sizes and results
  • 5.4. notes
• 6. D modeling
  • 6.1. Characteristics of modeling
  • 6.2. Characteristics of the mesh
  • 6.3. Tested sizes and results
  • 6.4. notes
• 7. E modeling
  • 7.1. Characteristics of modeling
  • 7.2. Characteristics of the mesh
  • 7.3. Tested sizes and results
  • 7.4. notes
• 8. Modeling A
  • 8.1. Characteristics of modeling
  • 8.2. Characteristics of the mesh
  • 8.3. Tested sizes and results
  • 8.4. notes
• 9. Summary of results