v6.08.105 SSND105 - Law of visco-elasto-plastic behavior with memory effect

Summary:

The problem is a quasistatic non-linear problem in structural mechanics. The laws tested, VMIS_CIN2_MEMO and VISC_CIN2_MEMO, are laws with non-linear kinematic work hardening, isotropic work hardening, and maximum work hardening memory. The response is analyzed at a material point, with pre-work hardening, then with cyclic loading.

Modeling A makes it possible to validate the memory effect with VMIS_CIN2_MEMO in a case where work hardening is purely isotropic, for simple traction. The reference solution for this modeling is analytical.

Modeling B compares the results obtained with memory effect, and without memory effect between laws VISC_CIN2_MEMO and VISCOCHAB, for a cyclic loading with pre-work hardening.

C modeling is similar to B modeling, and makes it possible to validate both models axisymmetrically.

Modeling D is similar to modeling C, and makes it possible to verify that the models that can take into account the effect of non-proportionality in this case give results identical to the previous models.

• 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. Tested sizes and results
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Tested sizes and results
  • 4.3. notes
• 5. C modeling
  • 5.1. Characteristics of modeling
  • 5.2. Tested sizes and results
• 6. D modeling
  • 6.1. Characteristics of modeling
  • 6.2. Tested sizes and results
• 7. Summary of results