v6.04.251 SSNV25 1 — Elementary validation of the damage law GTN in plane deformation with simulations of a volume element under biaxial tension e

Summary:

This test case makes it possible to validate the algorithm for integrating the local and gradient Gurson—Tvergaard—Needleman damage law (\(\mathit{GTN}\)) with underintegrated or mixed standard finite elements in large deformations. A volume element is modelled in biaxial traction.

The various models treated are:

• Modeling A (\(2D\)): D_ PLAN_SI.

• Modeling B (\(2D\)): D_ PLAN_GRAD_VARI.

• Modeling C (\(2D\)): D_ PLAN_GRAD_INCO.

• Modeling D (\(3D\)): 3D_SI.

• Modeling E (\(3D\)): 3D_ GRAD_VARI.

• Modeling F (\(3D\)): 3D_ GRAD_INCO.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
• 2. Benchmark solution
  • 2.1. Benchmark results
• 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. Summary of results