Descriptif
This course is concerned with the continuum description of material behavior. The overarching objective is to present a systematic framework to construct physically consistent constitutive models that satisfy frame indifference, material symmetry requirements, and the laws of thermodynamics. While the approach of hereditary integrals will be discussed, the emphasis will be on a framework based on internal variables, in particular, the so-called two-potential framework, in which a thermodynamic potential is used to describe how the material of interest stores energy and another thermodynamic potential is used to describe how it dissipates energy. Once formulated in general terms, the framework will be deployed to model:
• finite and small-strain viscoelasticity (with application to asphalt, concrete, & polymers)
• finite and small-strain thermoelasticity (with application to metals & polymers)
• finite and small-strain ferroelectricity (with application to electroactive polymers)
• finite and small-strain poroviscoelasticity (with application to gels & geomaterials)
• deformable solids capable of solid-to-solid phase transitions (with application to shape-memory materials & fracture)
The numerical implementation of the above models to solve boundary-value problems will also be discussed.
Diplôme(s) concerné(s)
Format des notes
Numérique sur 20Littérale/grade réduitPour les étudiants du diplôme Modélisation Multiphysique Multiéchelle des Matériaux et des Structures
L'UE est acquise si note finale transposée >= C- Crédits ECTS acquis : 3 ECTS
Pour les étudiants du diplôme M2 Solids - Solid Mechanics
L'UE est acquise si note finale transposée >= C- Crédits ECTS acquis : 3 ECTS
Pour les étudiants du diplôme M2 Biomechanics
L'UE est acquise si note finale transposée >= C- Crédits ECTS acquis : 3 ECTS
