r7.01.31 Behaviour law of reinforced concrete plates GLRC_DAMAGE

Summary:

This documentation presents the theoretical formulation and numerical integration of the law of behavior GLRC_DAMAGE [bib1]. It is written globally in resulting forces and moments for finite element models of plates. This law integrates the elastic and damaging behavior under bending arising from concrete and the elastoplastic behavior arising essentially from steel reinforcements based on the material characteristics of the two materials and from the composition of the section of the reinforced concrete plate. The result is cyclical damageable elastoplastic behavior, suitable for dynamic studies of reinforced concrete structures. The current GLRC_DAMAGE model does not take into account membrane damage and is therefore not very accurate when the stresses on the plate are dominated by membrane effects. On the other hand, the breakage of a plate depends mainly on the behavior of the steel, modeled by the elasto-plastic part of the model. It is therefore considered that the rupture should be represented correctly even in a membrane. A model similar to that one, GLRC_DM, is able to better represent membrane/bending damage, but does not take into account the plasticization phase of steels and therefore cannot be used to simulate breakage.

Note: The orthotropic elasticity induced by the orthogonal reinforcement network is only taken into account in the context of a linear analysis. For nonlinear analysis, this model should not be used.

This law of behavior is mainly used for the chaining of calculations between code_aster and Europlexus. Attention! It should only be used in the code_aster direction to Europlexus, not in the other direction.

• 1. Introduction
  • 1.1. Global behavior models
  • 1.2. Objectives of law GLRC_DAMAGE
• 2. Formulation of the model
  • 2.1. State variables
  • 2.2. Free energy: linear elastic case
  • 2.3. Free energy: damageable elastoplastic case
  • 2.4. Law of damageable elastoplastic behavior
  • 2.5. Criteria — threshold surfaces
  • 2.6. Plastic flow laws
  • 2.7. Law of evolution of damage variables
• 3. Parameters of the law
  • 3.1. Identification of linear elastic behavior parameters
  • 3.2. Identification of parameters of damageable elasto-plastic behavior
• 4. Numerical integration of the law of behavior
  • 4.1. Damage assessment
  • 4.2. Plastic flow assessment
  • 4.3. Tangent operator evaluation
  • 4.4. Internal variables of the model
• 5. Verification
• 6. Bibliography