Description

• Motion of continuum body in lagrangian description and in eulerian description. Properties of the mapping function F of the initial configuration onto the current configuration. Construction of the strain tensors in finite strain theory (Green, Almansi, Hencky, etc.) and the associated stress tensors (Cauchy, Kirschhoff, PKII).

• Introduction of materials derivative of a tensor field. Local and global conservation of mass, momentum and energy, applied in solids and fluid statics and dynamics. Variational formulations and principle of virtual power.

• Applications in elasticity, newtonian fluids, Navier-Stockes equation, local state thermodynamics, inequality of Clausius-Duhem.

• Energy theorems and introduction to finite element method.

Compétences visées

After the course the students should

• be able to correctly apply advanced large deformation theories in modeling of structures and components

• be able to read and understand advanced scientific publications on material models for large deformations

• be confident with tensor analysis both in Cartesian and curvilinear coordinate systems

• be able to apply and evaluate the most common stress, strain and deformation measures

Contacts

Responsable(s) de l'enseignement

• Hamdi Jmal

MCC

Les épreuves indiquées respectent et appliquent le règlement de votre formation, disponible dans l'onglet Documents de la description de la formation.

Régime d'évaluation

CT (Contrôle terminal, mêlé de contrôle continu)

Coefficient

1.0

Évaluation initiale / Session principale - Épreuves

Seconde chance / Session de rattrapage - Épreuves