v6.03.131 SSNP131 - Identification of the energy parameter Gp in 2D and 3D

Summary

This nonlinear quasistatic mechanics test makes it possible to present the calculation of the parameter \({G}_{p}\) resulting from the energetic approach to elastoplastic rupture and the identification of critical values corresponding to given experimental toughness values. It requires representing the crack by a notch and finely meshing the vicinity of the bottom of the notch. It also requires calculating the elastic energy over the virtual propagation zone of the notch, cut into « chips ».

Modeling A is carried out with quadratic \(\mathrm{2D}\) elements, in plane deformation. The mesh represents the zones called chips; the calculation of the parameter is performed using the properties of the mesh (POST_GP and CALC_GP) or by automatically creating these zones (CALC_GP).

Modeling B is the same as modeling A, but uses any mesh; only automatic chip definition is used (CALC_GP).

• 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 2D reference solution
  • 2.2. 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. Tested sizes and results
• 5. Summary of results