Coupled mechanical behaviors II

- Viscoelasticity: The objective of this part is to deepen the modeling of viscoelastic behaviors already seen in the ECUE "Rheology 1" in order to introduce the generalized versions "series" and "parallel" of the Biot model. From a more "material" point of view, the notions of relaxation time spectra are introduced to account for the transformations classically encountered in polymers, as well as the concept of time-temperature equivalence.

 - plasticity: Present the basic plasticity models present in the finite element codes (isotropic and kinematic models). A link is made with the metallurgy course in order to highlight the microstructural events retained during the implementation of macroscopic models. In the same way, the course will be based on the rheology course and on the practical work on materials which have allowed to highlight the notion of threshold and work hardening. The models set up can be used in the projects oriented towards numerical simulation

 - damage : Present the various microscopic manifestations of damage on brittle and ductile materials.
Introduce a thermomechanical theory (Kachanov-Lemaitre) of damage allowing the construction of continuous models adapted to the type of material studied (brittle and ductile materials) as well as to the loading mode (creep, oligo-cyclic fatigue and large number of cycles) The models developed can be used in the option project.

For the "solid" behavior, this course is naturally based on the previous course of the same name where a thermomechanical framework was presented. Whether it is the effects of viscosity, plasticity or damage, a particular effort is made to bring the classical models of behavior, used in many industrial calculation codes, into the MSG framework.

Coupled mechanics 1

This ECUE is evaluated by :

Final score = E