v7.03.103 HPLV103 - Calculation of KI and 3D thermo-elastic G for a circular crack

Summary

It is a test of fracture mechanics in thermo-mechanics for a three-dimensional problem. We consider a circular crack immersed in a thermoelastic medium. A uniform temperature is imposed on the lips of the crack. This test makes it possible to calculate the energy release rate \(G\) and the stress intensity factor \({K}_{I}\) at various points at the bottom of the crack.

The advantage of the test is the invariance of \(G\) and \({K}_{I}\) according to different crowns and the comparison to an analytical 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 result
  • 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. Summary of results