Elasticity and hydrodynamics

This UE is a continuation of the point dynamics and rigid solid mechanics taught in L1 and L2. The aim here is to provide elements of the mechanics of deformable continuous media, essentially in the limit of small deformations, linear elasticity, viscoelasticity and viscosity. Emphasis is placed 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 fields, particle derivatives

- Describe the different types of simple flow

- Apply Euler, Bernoulli and Navier-Stokes relations

Point mechanics

100% CT

Part I - Elasticity and viscoelasticity

• Deformable solid media and elastic moduli
• Behavioral laws, linear elasticity, Hooke's law, yield stress, plasticity, fracture
• Examples of elastic deformations: tension, compression, bending, shearing
• Viscoelasticity, rheological models

Part II - Hydrodynamics

• Reminders of hydrostatics
• Fluid kinematics, Lagrangian and Eulerian description
• Perfect fluid dynamics, Euler equation, applications
• Viscous fluid dynamics, Navier-Stokes equation, applications

CM: 6 p.m.

TD: 18 h