v3.04.154 SSLV154 — Circular crack in mixed mode

Summary:

The purpose of this test is to validate the calculation of stress intensity factors (SIFs) along the bottom of a 3D crack in mixed mode, in the context of linear elasticity.

This test involves a cube with a flat central circular crack, subjected to a force inclined with respect to the plane of the crack.

This test contains 2 models:

• Modeling A: the crack is meshed (FEM) with a radiant mesh at the bottom of the crack;

• B modeling: the crack is not meshed, it is represented by level-sets (X- FEM)

• C modeling: the crack is meshed (FEM) for incompressible elements (_ INCO_UPG);

• D modeling: the crack is meshed (FEM) with free mesh from Zcracks

For each model, SIFs are evaluated by commands POST_K1_K2_K3 and CALC_G.

Numerical values are compared to analytical values.

• 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. Bibliographical references
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. Tested sizes and results
  • 3.4. notes
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested sizes and results
  • 4.4. notes
• 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
  • 6.4. notes
• 7. Summary of results