v3.02.111 FORMA05 - Practical work from the « Fracture Mechanics » training course: Cracked plate in traction (SENT)

Summary:

This test \(\mathrm{2D}\) (plane deformations) models in a semi-static manner a cracked plate put into tension (pure I mode). This is a modeling of test piece SENT (Single Edge Notched Specimen in Tension).

This test is used in « Fracture Mechanics » training because of the speed of the execution time and the existence of an analytical solution. It allows you to become familiar with post-treatments in the mechanics of linear elastic rupture (CALC_G, and POST_K1_K2_K3) for modeling FEM and X-FEM. The educational objectives are to illustrate the influence of the mesh (mesh with linear/quadratic/quadratic elements + Barsoum) as well as to illustrate the independence at the integration crowns for the G-theta method.

This test case includes 4 models:

• Modeling A: FEM, whole plate (without symmetry condition), free mesh

• B modeling: FEM, (half-) plate with symmetry condition, free mesh

• C modeling: X- FEM, whole plate (without symmetry condition), mesh set

• D modeling: FEM, whole plate (without symmetry condition), radiant mesh

Only modeling A was the subject of a practical session as part of the training.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
• 2. Benchmark solution
  • 2.1. Method used for the reference solution
  • 2.2. Benchmark results
  • 2.3. Bibliographical references
• 3. Modeling A: FEM, whole plate (without symmetry condition), free mesh
  • 3.1. Workflow of the TP
  • 3.2. Tested sizes and results
• 4. B modeling: FEM, (half-) plate with symmetry condition, free mesh
  • 4.1. Workflow of the TP
  • 4.2. Tested sizes and results
• 5. C modeling: X- FEM, whole plate (without symmetry condition), mesh set
  • 5.1. Workflow of the TP
• 6. D modeling: FEM, whole plate, radiant mesh
  • 6.1. Tested sizes and results
• 7. Synthesis