v6.03.171 SSNP171 - Closing a flexural crack

Summary

This test makes it possible to evaluate method XFEM with contact, when closing cracks.

We consider a 2D specimen in flexure, including a central crack. The flexure of the specimen causes a partial closure of the crack. On the background of the crack remaining open, the stress intensity factor \({K}_{I}\) is tested. The theory is that taking contact into account will correct factor \({K}_{I}\) by around \(8\text{\%}\).

To assess the influence of contact during the closure, seven models are envisaged:

• Modeling A: 2D modeling and linear elements, with interpenetration of the crack lips.

• B modeling: 2D modeling and linear elements, with contact between the lips of the crack.

• C modeling: 2D modeling and quadratic elements, with interpenetration of the crack lips.

• D modeling: 2D modeling and quadratic elements, with contact between the lips of the crack.

• E-modeling: 3D modeling and linear elements, with interpenetration of the crack lips.

• F modeling: a 3D model and linear elements, with contact between the lips of the crack.

• G modeling: 3D modeling and quadratic elements, with interpenetration of the crack lips.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
• 2. Benchmark solution
  • 2.1. Calculation method
  • 2.2. Reference quantities and 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
  • 3.3. Tested sizes and results
  • 3.4. Additional results
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested sizes and results
  • 4.4. Additional results
• 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
  • 7.4. Comments
• 8. F modeling
  • 8.1. Characteristics of the mesh
  • 8.2. Tested sizes and results
  • 8.3. Comments
• 9. G modeling
  • 9.1. Characteristics of the mesh
  • 9.2. Tested sizes and results
  • 9.3. Comments
• 10. Summaries of results