v3.02.313 SSLP313 - Inclined crack in an unlimited plate, subject to infinitely uniform traction

Summary:

This test is the result of the independent validation of version 3 of Code_Aster in fracture mechanics.

We calculate \({K}_{I}\), \({K}_{\mathrm{II}}\) and the energy release rate for a right crack, inclined at an angle \(b\), in a large plate subjected to uniform traction. The model is two-dimensional in plane constraints. The material is isotropic linear elastic. This reference test in \(\mathrm{2D}\) allows you to check the separability of \({K}_{I}\) and \({K}_{\mathrm{II}}\) in a mixed mode.

The reference solution, given for a theoretically unlimited domain, is analytical.

In addition to the energy method (CALC_G), we test the method for calculating stress intensity factors by extrapolation of displacements (POST_K1_K2_K3). Modeling \(B\) makes it possible to test this last method with a recommended type of mesh (quarter middle nodes) to obtain a precise solution.

• 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. 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
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested sizes and results
• 5. Summary of results