v1.01.257 ZZZZ257 - Quantity error estimator of interest for fracture mechanics

Summary:

This test makes it possible to validate the error estimate in terms of quantity of interest for fracture mechanics. We thus test the 3 methods available in Code_Aster (residues, smoothing \(\mathrm{ZZ1}\) and smoothing \(\mathrm{ZZ2}\)). In addition, the command files provide a framework for implementing the estimation of error in terms of quantity of interest and more particularly the definition of loading for the dual problem.

There are 3 models that describe 3 different problems:

• Modeling A: cracked plate subjected to a uniform tensile force;

• Modeling B: cantilever beam subjected to shear force;

• Modeling C: plate with an inclined crack, subjected to a tensile force.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
• 2. Benchmark solution
  • 2.1. Calculation method
  • 2.2. Reference quantities and 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
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested sizes and results
• 5. C modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
  • 5.3. Tested sizes and results
• 6. Summary of results