r7.01.40 Behavior model LKR

Summary:

Behavioral model LKR is a thermomechanical evolution of the elasto (visco) plastic model LETK [1] and [2]. Its development and digital integration are the result of the thesis work of S. Raude [3].

This document presents the main conceptual lines of the model and the main equations that govern its operation. The first paragraph introduces the main concepts of the model, which are essential to the understanding of the second paragraph in which its main equations from [3] are presented. The last paragraph briefly reviews the main lines of the numerical integration of the model.

• 1. Physical framework and concepts of the LETK model
  • 1.1. Elastoplastic mechanism
  • 1.2. Figure 1.5: Thresholds of evolution in the post-peak phase. Viscoplastic mechanism
  • 1.3. Anisotropy
  • 1.4. Coupling between the two mechanisms
  • 1.5. Notes on spherical behavior
• 2. Thermomechanical extension of model LETK (model LKR)
  • 2.1. Deformation tensor partition
  • 2.2. Elastic mechanism
  • 2.3. Plastic mechanism
  • 2.4. Viscoplastic mechanism
  • 2.5. Plastic and viscoplastic anisotropies
  • 2.6. Coupling between the two mechanisms
  • 2.7. Flow laws
  • 2.8. Laws of dilatance
• 3. Digital integration
  • 3.1. Explicit integration diagram
  • 3.2. Implicit integration diagram
• 4. Description of model parameters
• 5. Internal variables