Coupled Mechanical Behaviors II

- Viscoelasticity: The aim of this section is to explore in greater depth the modeling of viscoelastic behaviors already covered in the "Rheology 1" ECUE in order to introduce the generalized "series" and "parallel" versions of the Biot model. From a more "material" perspective, the concepts of relaxation time spectra are introduced to account for the transformations typically encountered in polymers, as well as the concept of time-temperature equivalence.

 - Plasticity: Present the basic plasticity models used in finite element calculation codes (isotropic and kinematic models). A link is made with the metallurgy course in order to highlight the microstructural events selected when setting up the macroscopic models. Similarly, the course will draw on the rheology course and the materials practicals, which highlighted the concepts of threshold and work hardening. The models set up can be used in projects focused on numerical simulation.

 - Damage: Present the various microscopic manifestations of damage on brittle, ductile materials.
Introduce a thermomechanical theory (Kachanov-Lemaitre) of damage that can be used to construct continuous models adapted to the type of material studied (brittle, ductile materials) and the loading mode (creep, oligo-cyclic fatigue, and high-cycle fatigue). The models developed can be used in the option project.

For the "solid" behavior part, this EU naturally builds on the previous EU of the same name, where a thermomechanical framework was presented. Whether it be the effects of viscosity, plasticity, or damage, a particular effort has been made to bring the classic behavior models used in many industrial calculation codes into the MSG framework.

Coupled mechanics 1

This ECUE is evaluated by:

Final grade = E