Elasticity and hydrodynamics

This UE is in the continuity of the lessons of dynamics of the point and the rigid solid of L1 and L2. The aim is to give elements of mechanics of deformable continuous media essentially in the limit of small deformations, linear elasticity, viscoelasticity and viscosity. The emphasis is on simple cases and common applications.

Elasticity

- Master the notion of solid deformation

- Know the simple laws of behavior

- Know how to use stress-strain relationships

Hydrodynamics

- Master the concepts of pressure forces, velocity fields, particle derivatives

- Know how to describe the different types of simple flows

- Know how to apply the Euler, Bernoulli, Navier-Stokes relations

Point mechanics

100% CT

Part I - Elasticity and viscoelasticity

• Deformable solid medium and elastic moduli
• Behavioral laws, linear elasticity, Hooke's law, elastic limit, plasticity, rupture
• Examples of elastic deformations, traction, compression, bending, shearing
• Viscoelasticity, rheological models

Part II - Hydrodynamics

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

CM : 18 h

TD : 18 h