Modélisation mécanique: non linéarités matériellesModélisation des explosions (MRI)

Introduction to modelling irreversible phenomena of solid mechanics.

Preferably but not imperative:

• MRI 6 Engineering Sciences 6 Materials Mechanics
• MRI 7 EA: Mechanical and energy 1 Metallic materials

• Modelling tools:

• Basic tests; 1D modelling (simple drawing),
• Generalization 3D.

• Elastoplasticity:

• Tests and reminders on the origin of plastic deformations,
• Plasticity threshold surfaces, plasticity criteria,
• Isotropic scrubbing: Prandtl-Reuss model,
• Kinematic scrubbing: Prager model.

• Elastoviscoplasticity:

• Tests, viscous stress,
• Elastoviscoplasticity of type Perzyna; of type Duvaut-Lions.

• Damage:

• Analysis of different material degradation phenomena,
• A simple model of damage: elastic-damaging.

Continuous monitoring

• Lemaitre, John; Chaboche, Jean-Louis, "Mechanics of solid materials", Dunod
• François, Dominique; Pineau, André; Zaoui, A., "Mechanical behaviour of materials: elasticity and plasticity", Hermès
• François, Dominique; Pineau, André; Zaoui, A., "Viscoplasticity, damage, mechanical rupture, contact mechanics", Hermès
• Besson, Jacques; Cailletaud, Georges ; Chaboche, Jean-Louis, "Mécanique non lineare des matériaux", Hermès