v6.04.255 SSNV25 5 — Validation of the GTN gradient damage law with simulations of a bar in plane deformations

Summary:

This test case makes it possible to validate the algorithm for integrating the Gurson—Tvergaard—Needleman damage law (\(\mathit{GTN}\)) at a gradient with underintegrated or mixed standard finite elements in large deformations. A bar containing 10 finite elements is modelled.

The various models treated are:

• Modeling A (\(3D\)): 3D_ GRAD_VARI

• Modeling B (\(3D\)): 3D_ GRAD_INCO

• Modeling C (\(2D\)): D_ PLAN_GRAD_VARI

• Modeling D (\(2D\)): D_ PLAN_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. Summary of results