v6.03.170 SSNP170 — Taylor patch test

Summary:

This test consists in the semi-static analysis of a problem with frictionless contact whose analytical solution is known. We are particularly interested here in the integration of contact terms (patch-test) by the Mortar Local Average Contact (LAC) method. This involves studying two identical blocks meshed differently and subjected to compression.

This test includes 25 models. The objective is to test all possible pairing combinations with an incompatible mesh for the Mortar pairing type with LAC split in \(2D\) and \(3D\).

So this test includes ten models in \(2D\):

• modeling A: TRIA3 - TRIA3

• B modeling: TRIA6 - TRIA6

• C modeling: QUAD4 - QUAD4

• D modeling: QUAD8 - QUAD8

• E modeling: TRIA3 - TRIA6

• F modeling: TRIA3 - QUAD4

• G modeling: TRIA3 - QUAD8

• H modeling: TRIA6 - QUAD4

• modeling I: TRIA6 - QUAD8

• J modeling: QUAD4 - QUAD8

And fifteen models in \(3D\):

• K modeling: TETRA4 - TETRA4

• L modeling: TETRA10 - TETRA10

• M modeling: HEXA8 - HEXA8

• N modeling: HEXA20 - HEXA20

• O modeling: HEXA27 - HEXA27

• P modeling: TETRA4 - TETRA10

• Q modeling: TETRA4 - HEXA8

• R modeling: TETRA4 - HEXA20

• S modeling: TETRA4 — HEXA27

• T modeling: TETRA10 - HEXA8

• U modeling: TETRA10 - HEXA20

• V modeling: TETRA10 - HEXA27

• W modeling: HEXA8 - HEXA20

• X modeling: HEXA8 - HEXA27

• Y modeling: HEXA20 — HEXA27

• Z modeling: Cut PENTA6, PENTA15,, PYRA5, PYRA13

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
• 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 reference
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. Tested sizes and results
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested sizes and results
• 5. C modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
  • 5.3. Tested sizes and results
• 6. D modeling
  • 6.1. Characteristics of modeling
  • 6.2. Characteristics of the mesh
  • 6.3. Tested sizes and results
• 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
• 11. Modeling I
  • 11.1. Characteristics of modeling
  • 11.2. Characteristics of the mesh
  • 11.3. Tested sizes and results
• 12. J modeling
  • 12.1. Characteristics of modeling
  • 12.2. Characteristics of the mesh
  • 12.3. Tested sizes and results
• 13. K modeling
  • 13.1. Characteristics of modeling
  • 13.2. Characteristics of the mesh
  • 13.3. Tested sizes and results
• 14. L modeling
  • 14.1. Characteristics of modeling
  • 14.2. Characteristics of the mesh
  • 14.3. Tested sizes and results
• 15. M modeling
  • 15.1. Characteristics of modeling
  • 15.2. Characteristics of the mesh
  • 15.3. Tested sizes and results
• 16. N modeling
  • 16.1. Characteristics of modeling
  • 16.2. Characteristics of the mesh
  • 16.3. Tested sizes and results
• 17. O modeling
  • 17.1. Characteristics of modeling
  • 17.2. Characteristics of the mesh
  • 17.3. Tested sizes and results
• 18. P modeling
  • 18.1. Characteristics of modeling
  • 18.2. Characteristics of the mesh
  • 18.3. Tested sizes and results
• 19. Q modeling
  • 19.1. Characteristics of modeling
  • 19.2. Characteristics of the mesh
  • 19.3. Tested sizes and results
• 20. R modeling
  • 20.1. Characteristics of modeling
  • 20.2. Characteristics of the mesh
  • 20.3. Tested sizes and results
• 21. S modeling
  • 21.1. Characteristics of modeling
  • 21.2. Characteristics of the mesh
  • 21.3. Tested sizes and results
• 22. T modeling
  • 22.1. Characteristics of modeling
  • 22.2. Characteristics of the mesh
  • 22.3. Tested sizes and results
• 23. U modeling
  • 23.1. Characteristics of modeling
  • 23.2. Characteristics of the mesh
  • 23.3. Tested sizes and results
• 24. V modeling
  • 24.1. Characteristics of modeling
  • 24.2. Characteristics of the mesh
  • 24.3. Tested sizes and results
• 25. W modeling
  • 25.1. Characteristics of modeling
  • 25.2. Characteristics of the mesh
  • 25.3. Tested sizes and results
• 26. X modeling
  • 26.1. Characteristics of modeling
  • 26.2. Characteristics of the mesh
  • 26.3. Tested sizes and results
• 27. Y modeling
  • 27.1. Characteristics of modeling
  • 27.2. Characteristics of the mesh
  • 27.3. Tested sizes and results
• 28. Z modeling
  • 28.1. Characteristics of modeling
  • 28.2. Characteristics of the mesh
  • 28.3. Tested sizes and results
• 29. Summary of results