Elasticity and hydrodynamics

This course builds on the teachings of point dynamics and rigid body dynamics from the first and second years. It covers elements of continuum mechanics, mainly within the limits of small deformations, linear elasticity, viscoelasticity, and viscosity. The emphasis is on simple cases and common applications.

Elasticity

- Master the concept of solid deformation

- Know the laws of simple behavior

- Know how to use stress-strain relationships

Hydrodynamics

- Master the concepts of pressure forces, velocity field, and particle derivative

- Know how to describe the different types of simple flow

- Know how to apply Euler's, Bernoulli's, and Navier-Stokes' relationships

Point mechanics

100% CT

Part I – Elasticity and viscoelasticity

• Deformable solid medium and elastic modules
• Laws of behavior, linear elasticity, Hooke's law, elastic limit, plasticity, rupture
• Examples of elastic deformations: tension, compression, bending, shearing
• Viscoelasticity, rheological models

Part II – Hydrodynamics

• Hydrostatics reminders
• Fluid kinematics, Lagrangian and Eulerian descriptions
• Dynamics of ideal fluids, Euler's equation, applications
• Viscous fluid dynamics, Navier-Stokes equation, applications

CM: 6 p.m.

TD: 6 p.m.