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Modélisation mécanique: non linéarités matériellesSûreté de fonctionnement en énergie nucléaire (SFEN) (MRI)
Mechanical Modeling: Material Nonlinearities
Teaching unit Dependability in nuclear energy (SFEN) · MO_SFENU1 | EC Code MM
12ECTS (EU)
1Coefficient
24:00Hours
Séquencement
Learning objectives
Introduction to modelling irreversible phenomena of solid mechanics.
Prerequisites
| Module | Teaching unit | Semester |
|---|---|---|
| Continuum Mechanics | Engineering Sciences 5 | S5 |
| Structural Mechanics | Engineering Sciences 5 | S5 |
| Structural Analysis - Finite Elements | Engineering Sciences 7 | S7 |
Preferably but not imperative:
- MRI 6 Engineering Sciences 6 Materials Mechanics
- MRI 7 EA: Mechanical and energy 1 Metallic materials
Program
- 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.
Assessment
Continuous monitoring
References
- 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
Skills
3| Ref. | Verb | Description | Level |
|---|---|---|---|
| C1_2 | identify | Non-linearities used in the response of a material | 3 |
| C2_1 | calculate | analytically the solution of a nonlinear problem | 3 |
| C2_2 | discuss | internal variables and modeling to be used | 2 |