Constitutive laws for rheological fluids

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...).