Elasticity and Hydrodynamics

This course builds on the material covered in the first- and second-year courses on the dynamics of a point and a rigid body. The aim here is to provide an introduction to the mechanics of deformable continuous media, primarily within the small-deformation limit, covering linear elasticity, viscoelasticity, and viscosity. Emphasis is placed on simple cases and common applications.

Elasticity

- Understand the concept of solid deformation

- Understand the laws governing simple behaviors

- Know how to use the stress-strain relationships

Hydrodynamics

- Understand the concepts of pressure forces, velocity fields, and particle derivatives

- Be able to describe the different types of simple flow

- Be able to apply Euler's, Bernoulli's, and Navier-Stokes' equations

Stitch Mechanics

100% CT

Part I – Elasticity and Viscoelasticity

• Deformable Solid Media and Elastic Moduli
• Conformity laws, linear elasticity, Hooke's law, elastic limit, plasticity, fracture
• Examples of elastic deformations: tension, compression, bending, and shear
• Viscoelasticity, rheological models

Part II – Hydrodynamics

• Hydrostatics Review
• Fluid Dynamics: Lagrangian and Eulerian Descriptions
• Dynamics of Ideal Fluids, Euler's Equation, Applications
• Viscous Fluid Dynamics, Navier-Stokes Equation, Applications

CM: 6:00 p.m.

TD: 6:00 p.m.