v3.02.101 SSLP101 - Rate of energy restoration under plane stresses

Summary:

This is a static fracture mechanics test for a two-dimensional problem. We consider a cracked plate under plane stresses, the functionalities tested are:

• the \(G\) energy return rate,

• the energy return rate calculated from the calculation of the stress coefficients \({K}_{1}\) and \({K}_{2}\).

The advantage of the test is to compare the value of \(G\) classical and the value of \(G\) (IRWIN) obtained from \({K}_{1}\) and \({K}_{2}\). It also makes it possible to test the invariance of the calculation with respect to integration crowns.

This test contains 3 different models: modeling A, which dealt with the calculation of the Rice integral, is no longer supported since version 3.

• 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. Reference results for \(G\)
  • 2.3. Reference results for derivatives of \(G\)
  • 2.4. Bibliographical reference
• 3. B modeling
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. Tested sizes and results
  • 3.4. note
• 4. C modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested sizes and results
  • 4.4. note
• 5. E modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
  • 5.3. Tested sizes and results
• 6. F modeling
  • 6.1. Characteristics of modeling
• 7. Summary of results