r4.04.02 Elasto (visco) plastic modeling taking into account metallurgical transformations

Summary:

This document presents the modeling implemented in code_aster for the mechanical analysis of operations generating metallurgical transformations. The various mechanical effects resulting from the structural transformations to be taken into account and their models are presented.

Table of contents

• 1. Introduction
• 2. General ratings
• 3. Influence of structural transformations on thermal deformation
  • 3.1. Metallurgical phases
  • 3.2. Dilatometry test
  • 3.3. Thermal deformation zones
  • 3.4. Thermal deformation
• 4. Transformation plasticity
• 5. Work hardening restoration
  • 5.1. Viscous work-hardening restoration
  • 5.2. Metallurgical isotropic work hardening restoration
  • 5.3. Material parameters
• 6. (visco) plastic deformation models
  • 6.1. Deformation partition
  • 6.2. Laws of behavior
  • 6.3. Borderline cases
  • 6.4. Multiphase plasticity
  • 6.5. Summary of available models
• 7. Numerical formulation
  • 7.1. Discretization
  • 7.2. Integration of metallurgical relationships
  • 7.3. Quantities in prediction
  • 7.4. Quantities in correction
  • 7.5. Synthesis of matrices
• 8. Bibliography