Constitutive laws for rheological fluids
Master Physique appliquée et ingénierie physiqueParcours Modélisation mécanique pour l'énergie et l'environnement
ComposanteFaculté de physique et ingénierie
Description
In this course the student should acquire the basic knowledge in rheology:
- The Viscous, Elastic (small and large elastic deformations) and Viscoelastic response;
- Simple shear flow of a Newtonian fluid;
- Non-Newtonian behaviour : time-independent fluids (rheological models without yield stress, rheological models with yield stress, structural models);
- Extensional flow (elongational viscosity);
- Time-dependent fluids : memory effects, the mechanism of thixotropy, rheopexy;
- Linear viscoelasticity : mechanical models, stress relaxation experiment for a Maxwell fluid, creep and recovery experiment for a Kelvin solid, oscillatory measurements, 1D-models, 3D-models, Mooney-Rivlin model, Ogden model…
- Elasto-plasticity, Visco-plasticity, Elasto-visco-plasticity, hyper-elasticity;
- The Time-Temperature Superposition Principle.
Compétences visées
- To know the laws of behavior of the different materials with complex rheology;
- Know and know how to apply the different models with 2, 3 or 4 parameters;
- To know the laws of fluid flow with complex behavior in different geometries (cylindrical pipes, coaxial cylinders...).