Coupled Mechanical Behaviors II

- Viscoelasticity: The objective of this section is to delve deeper into the modeling of viscoelastic behaviors already covered in the ECUE “Rheology 1” course in order to introduce the generalized “series” and “parallel” versions of the Biot model. From a more “materials-oriented” perspective, the concepts of relaxation time spectra are introduced to account for the transformations typically observed in polymers, as well as the concept of time-temperature equivalence.

 - Plasticity: Present the basic plasticity models used in finite element analysis codes (isotropic and kinematic models). A connection is made with the metallurgy course to highlight the microstructural phenomena considered when developing macroscopic models. Similarly, the course will build on the rheology course and the materials lab sessions, which helped clarify the concepts of yield threshold and work hardening. The models developed can be used in projects focused on numerical simulation.

 - Damage: Describe the various microscopic manifestations of damage in brittle and ductile materials.
Introduce a thermomechanical theory (Kachanov-Lemaitre) of damage that allows for the development of continuous models suited to the type of material under study (brittle and ductile materials) as well as the loading mode (creep, low-cycle fatigue, and high-cycle fatigue). The models developed may be used in the elective project.

For the “solid” behavior section, this lecture naturally builds on the previous lecture of the same name, in which a thermomechanical framework was presented. Whether dealing with the effects of viscosity, plasticity, or damage, a special effort has been made to incorporate the classical behavior models—used in many industrial calculation codes—into the MSG framework.

Coupled Mechanics 1

This ECUE is evaluated by:

Final Grade = E