v6.04.186 SSNV186 — LBB condition and rubbing contact with X- FEM

Summary

The purpose of this test is to validate the consideration of contact (by the continuous method [bib1]) on the lips of the crack as part of the X- FEM [bib2] method, when the LBB condition [bib3] [bib4] is not respected.

Contact/friction is treated by an augmented Lagrangian algorithm for A to H models and by a penalized algorithm for I to K models.

This test involves a parallelepipedic block in compression. The interface crossing it is represented by a level set. The interface is straight, non—leaning, and goes all the way through the elements.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
  • 1.4. Bibliography
• 2. Modeling A: hexahedra (version 2)
  • 2.1. Characteristics of the mesh
  • 2.2. Features tested
  • 2.3. Tested sizes and results
• 3. B modeling: pentahedra and adherent law (version 2)
  • 3.1. Characteristics of the mesh
  • 3.2. Tested features
  • 3.3. Tested sizes and results
• 4. C modeling: triangles and adherent law (version 2)
  • 4.1. Characteristics of the mesh
  • 4.2. Tested features
  • 4.3. Tested sizes and results
• 5. D modeling: pentahedra and friction
  • 5.1. Characteristics of the mesh
  • 5.2. Features tested
  • 5.3. Tested sizes and results
  • 5.4. Comments
• 6. E modeling: tetrahedra (algorithm version 1)
  • 6.1. Characteristics of the mesh
  • 6.2. Boundary conditions and loads
  • 6.3. Tested features
  • 6.4. Tested sizes and results
  • 6.5. Comments
• 7. Summaries of 3D results
  • 7.1. Summary
  • 7.2. Comparison curves
• 8. F modeling: 2D quadrangles
  • 8.1. Characteristics of the mesh
  • 8.2. Tested features
  • 8.3. Tested sizes and results
  • 8.4. Comments
• 9. G modeling: triangles (algorithm version 1)
  • 9.1. Characteristics of the mesh
  • 9.2. Tested features
  • 9.3. Tested sizes and results
  • 9.4. Comments
• 10. H modeling: triangles (algorithm version 2)
  • 10.1. Characteristics of the mesh
  • 10.2. Features tested
  • 10.3. Tested sizes and results
  • 10.4. Comments
• 11. 2D results summaries
  • 11.1. Summary
  • 11.2. Comparison curves
• 12. Modeling I: pentahedra (algorithm version 2), penalized method
  • 12.1. Characteristics of the mesh
  • 12.2. Tested features
  • 12.3. Tested sizes and results
  • 12.4. Comments
• 13. J modeling: tetrahedra (algorithm version 1), penalized method
  • 13.1. Characteristics of the mesh
  • 13.2. Boundary conditions and loads
  • 13.3. Tested features
  • 13.4. Tested sizes and results
  • 13.5. Comments
• 14. K modeling: triangles (algorithm version 1), penalized method
  • 14.1. Characteristics of the mesh
  • 14.2. Tested features
  • 14.3. Tested sizes and results
  • 14.4. Comments
• 15. Summaries of results using a penalized method
  • 15.1. Summary
  • 15.2. Comparison curves
• 16. L modeling: pyramids (algorithm version 2)
  • 16.1. Characteristics of the mesh
  • 16.2. Tested features
  • 16.3. Tested sizes and results
  • 16.4. Comparison curves
  • 16.5. Comments
• 17. M modeling: pyramids (algorithm version 2)
  • 17.1. Characteristics of the mesh
  • 17.2. Tested features
  • 17.3. Tested sizes and results
  • 17.4. Contact pressure curves
  • 17.5. Comments