r7.01.28 Mohr-Coulomb’s law

Summary:

This document presents the method for solving the Mohr-Coulomb law in*Code_Aster*.

• 1. Notations
  • 1.1. General data
  • 1.2. Convention on tensor ratings
• 2. Formulation in terms of main constraints
• 3. Local integration of the Mohr-Coulomb law
  • 3.1. Cases where only one mechanism is active
  • 3.2. Cases where two mechanisms are active
  • 3.3. Case of the projection at the top of the cone
• 4. Expression of the consistent tangent matrix in the main base
  • 4.1. Cases where only one mechanism is active
  • 4.2. Cases where two mechanisms are active
  • 4.3. Case of the projection at the top of the cone
• 5. Expression of the consistent tangent matrix in the global base
  • 5.1. Some results on isotropic symmetric tensors of order two
  • 5.2. Derivative of an isotropic tensor function of order two
• 6. Bibliography