v7.22.102 HSNV102 - Thermo-metallo-plasticity coupled with simple traction

Summary:

We treat the determination of the mechanical evolution of a cylindrical bar subjected to known and uniform thermal \(T(t)\) and metallurgical \(Z(t)\) evolutions (the metallurgical transformation is of the martensitic type).

The elements used are axisymmetric elements.

For models A and B, the behavioral relationship is VonMises plasticity with isotropic work hardening. For modellingB, transformation plasticity is also taken into account.

In the C modeling, viscoplastic behavior with linear isotropic work hardening is considered and the transformation plasticity is not taken into account.

The elastic limit and the slope of the tensile curve depend on temperature and metallurgical composition.

The expansion coefficient \(\alpha\) depends on the metallurgical composition.

Metallurgical transformations take place at \({\dot{\epsilon }}^{p}\ne 0\) (this is in this sense that the test couple the transformation plasticity of classical plasticity).

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
  • 1.4. Initial conditions
• 2. Benchmark solution
  • 2.1. Calculation method used for the reference solution
  • 2.2. Benchmark results
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
• 4. Results of modeling A
  • 4.1. Tested values
  • 4.2. notes
• 5. B modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
• 6. B modeling results
  • 6.1. Tested values
  • 6.2. notes
• 7. C modeling
  • 7.1. Characteristics of modeling
  • 7.2. Characteristics of the mesh
• 8. C modeling results
  • 8.1. Tested values
• 9. Summary of results