v6.03.152 SSNP152 — Inclusion of two crowns

Summary:

This test is used to evaluate the performances in terms of the treatment of contact between two structures with geometric compatibility between the master and slave surfaces at the initial moment and various positions of geometric incompatibility over time. It makes it possible to validate the treatment of contact with the continuous method by taking into account large rotations.

We consider a structure composed of two concentric rings. The outer ring is subjected to uniform pressure on its free edge while a finite rotation is imposed on the inner ring. Their stiffness, represented by their Young’s modules, plays an important role in evaluating the value of deformations and fluctuations in contact pressure. We also want to know what are the effects of using a higher-order mesh.

An analytical solution was developed for this problem in order to validate the calculated numerical results. The validation of this test focuses on contact pressure values.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
• 2. Benchmark solution
  • 2.1. Case 1: plane deformations
  • 2.2. Case 2: plane constraints
  • 2.3. note
  • 2.4. Calculation of the L2 norm of contact pressure
  • 2.5. Tested values
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. Tested sizes and results
  • 3.4. Comments
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested sizes and results
  • 4.4. Comments
• 5. C modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
  • 5.3. Tested sizes and results
  • 5.4. Comments
• 6. D modeling
  • 6.1. Characteristics of modeling
  • 6.2. Characteristics of the mesh
  • 6.3. Tested sizes and results
  • 6.4. Comments
• 7. E modeling
  • 7.1. Characteristics of modeling
  • 7.2. Characteristics of the mesh
  • 7.3. Tested sizes and results
• 8. F modeling
  • 8.1. Characteristics of modeling
  • 8.2. Characteristics of the mesh
  • 8.3. Tested sizes and results
• 9. G modeling
  • 9.1. Characteristics of modeling
  • 9.2. Characteristics of the mesh
  • 9.3. Tested sizes and results
• 10. H modeling
  • 10.1. Characteristics of modeling
  • 10.2. Characteristics of the mesh
  • 10.3. Tested sizes and results