r7.01.29 Law of Behaviour ENDO_HETEROGENE

Summary:

This documentation presents the theoretical writing and the numerical integration of the law of behavior ENDO_HETEROGENE, which takes into account the effect of rock heterogeneity on its probability of failure. This model was integrated as a non-local damage law (with stress gradient) based on a two-threshold model.

• 1. Introduction — Field of application
• 2. Some generalities on probabilistic models for the formation of crack networks
• 3. Development of the ENDO_HETEROGENE law
  • 3.1. Priming cracks
  • 3.2. Fissure propagation
  • 3.3. Coordination of thresholds
• 4. Digital integration
  • 4.1. Initialization
  • 4.2. Solving the global problem
  • 4.3. Implementation of the law of behavior
  • 4.4. Material parameters required by law
  • 4.5. Description of internal variables
• 5. Features and verification
• 6. Bibliography
• 7. Description of document versions