Two approaches are developed in parallel. First, macroscopic laws governing the deformation and fracture of materials are presented. Second the microscopic mechanisms controlling the resistance to deformation and fracture are described.
In terms of theoretical knowledge, the students are expected to know
- the main mechanisms of deformation, damage and fracture of materials (involving simple mathematical models and the capacity to draw schematics)
- mechanics and physics concepts such as internal stresses, plastic déformation, dislocations mechanics, stress intensity factors, energy release rates.
- general articulation between the various mechanisms in terms of length and time scales, interactions and couplings, for the various classes of materials.
In terms of applicative skills, the students are expected to be able to
- apply the simple physical/mechanical models to simple problems;
- establish a strategy of resolution for a more complex engineering problem of deformation and/or fracture.
Main themes
Three parts
I. Reversible deformation : elasticity, thermoelasticity, viscoelasticity, anelasticity;
II. Irreversible deformation : plasticity, microplasticity (dislocation theory, and hardening), viscoplasticity, creep ;
III. Damage and fracture : damage mechanisms, fracture mechanics, physics of cracking, subcritical crack growth and fatigue
Content and teaching methods
Laboratory experiments introducing to the theoretical courses, which are supplemented by application exercices.
Students are also expected to invent and solve a specific engineering problem involving deformation and/or fracture aspects.
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)
MAPR 1805
Continuum mechanics and solids mechanics basics