• Study level

    BAC +4

  • ECTS

    5 credits

  • Component

    Faculty of Science

Description

- Viscoelasticity: The aim of this section is to extend the modeling of viscoelastic behavior already covered in ECUE "Rheology 1", in order to introduce the generalized "series" and "parallel" versions of Biot's 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 used in finite element codes (isotropic and kinematic models). A link is made with the metallurgy course in order to highlight the microstructural events selected when setting up macroscopic models. Similarly, the course will be based on the rheology course and materials practical work, which have highlighted the notion of threshold and strain hardening. The models developed can be used in numerical simulation projects.

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

 

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Objectives

As far as solid behavior is concerned, this course naturally builds on the previous course of the same name, in which a thermomechanical framework was introduced. Whether it's the effects of viscosity, plasticity or damage, a particular effort is made to fit the classical behavior models used in many industrial calculation codes into the MSG framework.

 

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Necessary prerequisites

Coupled mechanics 1

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Knowledge control

This ECUE is evaluated by :

Final score = E

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