Constitutive laws for rheological fluids
Master Physique appliquée et ingénierie physiqueParcours Modélisation mécanique pour l'énergie et l'environnement

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...).